diff --git a/.gitignore b/.gitignore index 76a59ec4..28589371 100644 --- a/.gitignore +++ b/.gitignore @@ -116,6 +116,12 @@ env-*/ # Mac .DS_Store +# Project-local dotfiles (personal shell config) +dotfiles/ + # Cursor / SpecStory .cursor* .specstory*/ + +# Copyrighted source material (papers, LaTeX from MathPix, etc.) +source/ diff --git a/models/We-Would-Like-In-Econ-ARK/OpenHA/OpenHA_intro.ipynb b/models/We-Would-Like-In-Econ-ARK/OpenHA/OpenHA_intro.ipynb new file mode 100644 index 00000000..89058c1c --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/OpenHA/OpenHA_intro.ipynb @@ -0,0 +1,52 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Paper\n", + "\n", + "**Exchange rates and monetary policy with heterogeneous agents: Sizing up the real income channel**\n", + "\n", + "Adrien Auclert, Matthew Rognlie, Martin Souchier, Ludwig Straub\n", + "\n", + "2021 · SSRN Electronic Journal / NBER Working Paper 28872\n", + "\n", + "[DOI: 10.3386/w28872](https://doi.org/10.3386/w28872) · [SSRN](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3856853)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Original ballpark authors\n", + "\n", + "Junhyeok (Julian) Shin — May 6, 2023\n", + "\n", + "(Original notebook: Shin_ARSS.ipynb)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Updated by\n", + "\n", + "Siying Li — February 13, 2025" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.8.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/models/We-Would-Like-In-Econ-ARK/OpenHA/OpenHA_prior-literature.ipynb b/models/We-Would-Like-In-Econ-ARK/OpenHA/OpenHA_prior-literature.ipynb new file mode 100644 index 00000000..4e746090 --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/OpenHA/OpenHA_prior-literature.ipynb @@ -0,0 +1,108 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Prior Literature for OpenHA\n", + "\n", + "This notebook surveys the key prior literature on which {cite:t}`Auclert2021-ki` builds. The paper rests on three strands: open-economy New Keynesian foundations, heterogeneous-agent monetary transmission, and the exchange rate–real income–redistribution nexus." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1. Open-Economy New Keynesian Foundations\n", + "\n", + "### Galí and Monacelli (2004)\n", + "\n", + "{cite:t}`Gali2004-kj` lay out a small open economy version of the Calvo sticky-price model and reduce the equilibrium dynamics to a simple representation in domestic inflation and the output gap. They compare three alternative rule-based policy regimes — domestic-inflation and CPI-based Taylor rules, and an exchange rate peg — and show that a key difference lies in the relative amount of exchange rate volatility each entails. This canonical framework is the starting point for the model in {cite:t}`Auclert2021-ki`, which extends it with household heterogeneity and incomplete markets.\n", + "\n", + "### Obstfeld and Rogoff (1995)\n", + "\n", + "{cite:t}`Obstfeld1995-wg` develop a two-country general equilibrium model with nominal rigidities that revived the field of open-economy macroeconomics (the \"New Open Economy Macroeconomics\"). Their Redux model provides the micro-founded treatment of exchange rate dynamics, terms-of-trade effects, and expenditure switching that underlies the open-economy structure of {cite:t}`Auclert2021-ki`.\n", + "\n", + "### Clarida, Galí, and Gertler (2002)\n", + "\n", + "{cite:t}`Clarida2002-gd` develop a tractable two-country sticky-price model to study international monetary policy design. They find that in the Nash equilibrium the policy problem for each central bank is isomorphic to the closed-economy case, but gains from cooperation arise through the impact of foreign activity on domestic marginal cost. This framework informs how {cite:t}`Auclert2021-ki` models monetary policy transmission across borders.\n", + "\n", + "### Corsetti and Pesenti (2001)\n", + "\n", + "{cite:t}`Corsetti2001-dc` provide a choice-theoretic model of macroeconomic interdependence that emphasizes positive externalities of foreign monetary expansions on domestic welfare. Their analysis of structural spillovers and strategic complementarities provides foundations for the international transmission mechanisms in {cite:t}`Auclert2021-ki`." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2. Heterogeneous-Agent Monetary Transmission\n", + "\n", + "### Kaplan, Moll, and Violante (2018)\n", + "\n", + "{cite:t}`Kaplan2018-to` revisit the transmission mechanism from monetary policy to household consumption in a Heterogeneous Agent New Keynesian (HANK) model. They show that indirect effects of interest rate cuts — operating through general equilibrium increases in labor demand — far outweigh direct intertemporal substitution effects. This finding is central to {cite:t}`Auclert2021-ki`, which extends the HANK framework to an open-economy setting where the indirect channel interacts with exchange rate movements.\n", + "\n", + "### Auclert (2019)\n", + "\n", + "{cite:t}`Auclert2019-js` evaluates the role of redistribution in the transmission of monetary policy to consumption, identifying three channels: an earnings heterogeneity channel, a Fisher channel from unexpected inflation, and an interest rate exposure channel. Using Italian and US data, the paper shows that all three amplify monetary policy effects. {cite:t}`Auclert2021-ki` extends this redistribution logic to the open-economy context, where exchange rate movements create additional redistributive effects through import prices.\n", + "\n", + "### McKay, Nakamura, and Steinsson (2016)\n", + "\n", + "{cite:t}`McKay2016-ss` show that the power of forward guidance is highly sensitive to the complete-markets assumption. When agents face uninsurable income risk and borrowing constraints, a precautionary savings effect tempers responses to changes in future interest rates, substantially reducing the power of forward guidance. This insight about how incomplete markets alter monetary transmission is a building block for the heterogeneous-agent structure in {cite:t}`Auclert2021-ki`.\n", + "\n", + "### Werning (2015)\n", + "\n", + "{cite:t}`Werning2015-vz` studies aggregate consumption dynamics under incomplete markets, deriving a generalized Euler relation that provides a tractable way to incorporate incomplete markets in macroeconomic models. The paper shows that away from benchmark cases, consumption becomes more sensitive to interest rates, especially future rates. This analytical framework underpins the consumption function representation in {cite:t}`Auclert2021-ki`." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3. Exchange Rates, Real Income, and Redistribution\n", + "\n", + "### Krugman and Taylor (1978)\n", + "\n", + "{cite:t}`Krugman1978-yz` develop a simple Keynesian model showing that currency depreciation can be contractionary if imports exceed exports, if there are differences in consumption propensities from profits and wages, or if government revenues increase from devaluation. This early formalization of the contractionary devaluation hypothesis directly motivates the central question in {cite:t}`Auclert2021-ki`: can exchange rate depreciations reduce output in a heterogeneous-agent model?\n", + "\n", + "### Díaz-Alejandro (1963)\n", + "\n", + "{cite:t}`Diaz-Alejandro1963-zf` provides a seminal note on how devaluation can redistribute income from workers (with high MPCs) to profit earners (with low MPCs), leading to a contractionary aggregate demand effect. This redistribution channel is precisely the mechanism that {cite:t}`Auclert2021-ki` formalizes and quantifies in a modern heterogeneous-agent framework.\n", + "\n", + "### Cravino and Levchenko (2016)\n", + "\n", + "{cite:t}`Cravino2016-hl` study the distributional consequences of large devaluations, showing that exchange rate movements have heterogeneous effects across households depending on their consumption baskets. This evidence on the distributional dimension of exchange rate changes motivates the heterogeneous-agent approach in {cite:t}`Auclert2021-ki`.\n", + "\n", + "### de Ferra, Mitman, and Romei (2020)\n", + "\n", + "{cite:t}`de-Ferra2020-ai` study how household heterogeneity affects the transmission of foreign shocks, showing that incomplete markets and heterogeneous portfolios alter the propagation of external shocks in an open economy. Their work bridges heterogeneous-agent models and open-economy macro, providing a direct antecedent to {cite:t}`Auclert2021-ki`.\n", + "\n", + "### Bems and di Giovanni (2016)\n", + "\n", + "{cite:t}`Bems2016-us` show that an income effect — not relative price changes — can drive expenditure switching between domestic and imported goods, using Latvian scanner data from the 2008–2009 crisis. Their finding that income-induced expenditure switching accounts for a large share of the fall in imports provides micro-level evidence for the real income channel that {cite:t}`Auclert2021-ki` formalizes at the macro level." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Key Gap Addressed\n", + "\n", + "Prior work had either open-economy models with a real income channel but no household heterogeneity, or HANK models with redistribution but no open-economy structure. The real income channel had therefore never been **sized** in a model with both ingredients. {cite:t}`Auclert2021-ki` builds a tractable open-economy HANK and uses it to quantify the real income channel — including its redistribution and MPC dimensions — relative to the standard expenditure switching channel." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.8.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/models/We-Would-Like-In-Econ-ARK/OpenHA/OpenHA_subsequent-literature.ipynb b/models/We-Would-Like-In-Econ-ARK/OpenHA/OpenHA_subsequent-literature.ipynb new file mode 100644 index 00000000..32f3ff28 --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/OpenHA/OpenHA_subsequent-literature.ipynb @@ -0,0 +1,141 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Subsequent Literature Citing OpenHA\n", + "\n", + "This notebook surveys papers that cite {cite:t}`Auclert2021-ki`. The citing work clusters into three broad directions: open-economy HANK in emerging markets, extensions beyond the small open economy, and fiscal–monetary interaction." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1. Open-Economy HANK in Emerging Markets\n", + "\n", + "Several papers apply and extend the real income channel of {cite:t}`Auclert2021-ki` to emerging-market settings, where contractionary devaluations, dollarization, and high MPC heterogeneity are first-order concerns.\n", + "\n", + "### Campos and Paz (2023)\n", + "\n", + "{cite:t}`real_campos_2023` study the real income channel and contractionary devaluations in a heterogeneous-agent model calibrated to Latin American economies. They show that the mechanisms identified by {cite:t}`Auclert2021-ki` — the real income and multiplier channels — are quantitatively large in countries with high import dependence and concentrated income distributions.\n", + "\n", + "### Blanco, Drenik, and Zaratiegui (2025)\n", + "\n", + "{cite:t}`nominal_blanco_2025` study how nominal devaluations affect inflation and inequality. Building on the open-economy HANK framework of {cite:t}`Auclert2021-ki`, they show that devaluations disproportionately hurt lower-income households through import price increases, and that this distributional channel feeds back into aggregate dynamics.\n", + "\n", + "### Ferrante and Gornemann (2022)\n", + "\n", + "{cite:t}`devaluations_ferrante_2022` examine how deposit dollarization interacts with household heterogeneity during devaluations. They extend the framework of {cite:t}`Auclert2021-ki` by adding a dollarized financial sector, showing that balance-sheet effects from currency mismatch amplify the contractionary real income channel.\n", + "\n", + "### Signe, Poutineau, and Gankou (2026)\n", + "\n", + "{cite:t}`monetary_signe_2026` apply heterogeneous-agent monetary policy analysis to the CEMAC zone (Central Africa), drawing on {cite:t}`Auclert2021-ki` to study how exchange rate policy interacts with household heterogeneity in developing-country monetary unions.\n", + "\n", + "### Oskolkov (2021)\n", + "\n", + "{cite:t}`exchange_oskolkov_2021` studies exchange rate policy and heterogeneity in small open economies, examining how the optimal exchange rate regime depends on the degree of household heterogeneity — a question directly motivated by the findings of {cite:t}`Auclert2021-ki`." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2. Beyond the Small Open Economy\n", + "\n", + "A second strand extends {cite:t}`Auclert2021-ki` from a small open economy to two-region or monetary-union HANK models, and studies international spillovers.\n", + "\n", + "### Bayer, Kriwoluzky, Müller, and Seyrich (2024)\n", + "\n", + "{cite:t}`hankmmlmath_bayer_2024` develop a HANK² model of monetary unions — a two-region heterogeneous-agent model where each region has incomplete markets. They build on {cite:t}`Auclert2021-ki` to show how asymmetric shocks and heterogeneous fiscal spaces interact within a currency union.\n", + "\n", + "### Bellifemine, Couturier, and Jamilov (2025)\n", + "\n", + "{cite:t}`monetary_bellifemine_2025` study monetary unions with heterogeneous fiscal space. Extending the open-economy HANK approach of {cite:t}`Auclert2021-ki` to a multi-country setting, they show that differences in fiscal capacity across member states alter the transmission of common monetary policy.\n", + "\n", + "### Yang, Zhang, and Hou (2023)\n", + "\n", + "{cite:t}`twocountry_yang_2023` develop a two-country HANK model with trade frictions, extending the single-country framework of {cite:t}`Auclert2021-ki` to study how household heterogeneity in both countries affects the international transmission of shocks.\n", + "\n", + "### Chen, Lazarakis, and Varthalitis (2025)\n", + "\n", + "{cite:t}`debt_chen_2025` study debt targets and fiscal consolidation in a Euro Area HANK model, incorporating the open-economy heterogeneous-agent mechanisms from {cite:t}`Auclert2021-ki` to analyze how fiscal rules interact with monetary policy in a currency union.\n", + "\n", + "### Acharya and Pesenti (2024)\n", + "\n", + "{cite:t}`spillovers_acharya_2024` study international spillovers and spillbacks of monetary policy. Drawing on {cite:t}`Auclert2021-ki`, they show how heterogeneous-agent channels amplify the cross-border transmission of monetary policy shocks.\n", + "\n", + "### Georgiadis, Müller, and Schumann (2024)\n", + "\n", + "{cite:t}`global_georgiadis_2024` study global risk and the dollar, examining how US monetary policy shocks spill over to other economies through exchange rate and real income channels identified by {cite:t}`Auclert2021-ki`.\n", + "\n", + "### Kyriazis (2023)\n", + "\n", + "{cite:t}`quantitative_kyriazis_2023` studies quantitative easing spillovers, analyzing how unconventional monetary policy transmits internationally through the heterogeneous-agent channels emphasized by {cite:t}`Auclert2021-ki`.\n", + "\n", + "### De Leo, Gopinath, and Kalemli-Özcan (2022)\n", + "\n", + "{cite:t}`monetary_deleo_2022` study monetary policy cyclicality in emerging economies, showing that the real income channel from {cite:t}`Auclert2021-ki` helps explain why emerging-market central banks often tighten rather than loosen in response to capital outflows." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3. Fiscal–Monetary Interaction\n", + "\n", + "A third cluster of papers uses the framework of {cite:t}`Auclert2021-ki` to study interactions between fiscal and monetary policy in open economies.\n", + "\n", + "### Aggarwal, Auclert, Rognlie, and Straub (2023)\n", + "\n", + "{cite:t}`excess_aggarwal_2023` study excess savings and twin deficits — the transmission of fiscal stimulus in open economies. Building directly on {cite:t}`Auclert2021-ki`, they show that fiscal transfers in a HANK open economy generate both current account deficits (through higher imports) and budget deficits, with the magnitudes depending on household heterogeneity and the real income channel.\n", + "\n", + "### Auclert, Monnery, Rognlie, and Straub (2023)\n", + "\n", + "{cite:t}`managing_auclert_2023` study how to manage an energy shock with fiscal and monetary policy in an open-economy HANK model. They extend {cite:t}`Auclert2021-ki` to analyze supply-side shocks, showing that the real income channel is central to understanding how energy price increases transmit to aggregate demand.\n", + "\n", + "### Nuño, Renner, and Scheidegger (2025)\n", + "\n", + "{cite:t}`monetary_nuo_2025` study monetary policy with persistent supply shocks, incorporating the heterogeneous-agent transmission mechanisms from {cite:t}`Auclert2021-ki` to analyze how central banks should respond when supply disruptions have distributional consequences.\n", + "\n", + "### McKay and Wolf (2022)\n", + "\n", + "{cite:t}`optimal_mckay_2022` study optimal policy rules in HANK models. They extend the analysis to open-economy settings influenced by {cite:t}`Auclert2021-ki`, examining how the presence of the real income channel and MPC heterogeneity alters the design of optimal monetary policy rules.\n", + "\n", + "### Pieroni (2023)\n", + "\n", + "{cite:t}`energy_pieroni_2023` studies energy shortages and aggregate demand in a HANK model, showing that the output loss and distributional burden from energy shocks are amplified by the real income channel mechanisms identified in {cite:t}`Auclert2021-ki`." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Open Questions\n", + "\n", + "Cutting-edge topics building on {cite:t}`Auclert2021-ki` include:\n", + "\n", + "- Empirical validation of the real income channel with micro data\n", + "- Integrating household and firm heterogeneity in one open-economy HANK\n", + "- A unified treatment of financial frictions and dollarization with the real income channel\n", + "- Non-linearities and large shocks (contractionary devaluations, hysteresis)\n", + "- Optimal exchange rate regime choice in open-economy HANK\n", + "- Welfare-based policy evaluation that explicitly accounts for inequality and heterogeneity" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.8.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/models/We-Would-Like-In-Econ-ARK/OpenHA/OpenHA_summary.ipynb b/models/We-Would-Like-In-Econ-ARK/OpenHA/OpenHA_summary.ipynb new file mode 100644 index 00000000..e9ee03df --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/OpenHA/OpenHA_summary.ipynb @@ -0,0 +1,525 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Auclert, Rognlie, Souchier, and Straub (Working paper)" + ], + "id": "4299e41e" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## [\"Exchange rates and monetary policy with heterogeneous agents\"](http://web.stanford.edu/~aauclert/ha_oe.pdf)" + ], + "id": "331ddbc1" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notebook created by Junhyeok (Julian) Shin on May 6 2023. Coauthor: Siying Li." + ], + "id": "4e619c4e" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Summary\n", + "\n", + "This paper introduces a heterogeneous-agent macroeconomic model into the canonical open economy macroeconomic model.\n", + "\n", + "The main findings of the paper are as follows:\n", + "\n", + "* A HA model with uninsurable aggregate and idiosyncratic risk exhibits a larger effect of a real exchange rate depreciation via two channels: the real income channel and the multiplier channel.\n", + "\n", + "* With low trade elasticity, the two channels can dominate the consumption switching channel, leading to contractionary depreciation.\n", + "\n", + "* The model shows contrasting monetary policy responses to a foreign exchange rate hike in emerging economies and advanced economies.\n", + "\n", + "We will refer to the goods of the home (Brazil) as Brazil Nuts (nuts) and that of the foreign (US) as Ford cars (cars)." + ], + "id": "d1385785" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Prior Literature\n", + "\n", + "The paper rests on three strands. \n", + "\n", + "- **Open-economy New Keynesian foundations** ({cite:t}`Obstfeld1995-wg`; {cite:t}`Gali2004-kj`) supply the small open economy with nominal rigidities, terms-of-trade and expenditure-switching effects, and the link between exchange rates and aggregate demand; {cite:t}`Clarida2002-gd` and {cite:t}`Corsetti2001-dc` add international transmission. \n", + "\n", + "- **Heterogeneous-agent monetary transmission** ({cite:t}`Kaplan2018-to`; {cite:t}`Auclert2019-js`; {cite:t}`McKay2016-ss`; {cite:t}`Werning2015-vz`) supplies the micro structure: in HANK the main channel from rates to consumption is indirect (general equilibrium labor demand) and redistribution (earnings heterogeneity, Fisher, interest rate exposure) interacts with MPC heterogeneity. \n", + "\n", + "- **Exchange rates, real income, and redistribution** ({cite:t}`Laursen1950-jl`; {cite:t}`Krugman1978-yz`; {cite:t}`Diaz-Alejandro1963-zf`; {cite:t}`Lane2010-fu`; {cite:t}`Cravino2016-hl`; {cite:t}`de-Ferra2020-ai`; {cite:t}`Bems2016-us`) tie the two together. Together these strands make it possible to study how exchange rate movements alter real incomes and redistribute across agents with different MPCs.\n", + "\n", + "Prior work had either open-economy models with a real income channel but no heterogeneity, or HANK with redistribution but no open-economy structure. The real income channel had therefore never been **sized** in a model with both. This paper builds a tractable open-economy HANK and uses it to size up the real income channel (including its redistribution/MPC dimension) relative to other channels." + ], + "id": "3b82a269" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Subsequent Literature\n", + "\n", + "The paper remains a working paper. Dozens of papers cite it. The citing work clusters into three directions: \n", + "\n", + "- **Open-economy HANK in emerging markets** (real income channel and contractionary devaluations\u2014e.g. Latin America, CEMAC, Peru; deposit dollarization and household heterogeneity; nominal devaluations and inequality, as in {cite:t}`nominal_blanco_2025`); \n", + "\n", + "- **Beyond the small open economy** (two-region or monetary-union HANK such as {cite:t}`hankmmlmath_bayer_2024`, {cite:t}`twocountry_yang_2023`, {cite:t}`monetary_bellifemine_2025`, {cite:t}`debt_chen_2025`; international spillovers and spillbacks\u2014{cite:t}`spillovers_acharya_2024`, {cite:t}`global_georgiadis_2024`, {cite:t}`quantitative_kyriazis_2023`, {cite:t}`tank_camara_2022`, {cite:t}`monetary_deleo_2022`); \n", + "\n", + "- **Fiscal\u2013monetary interaction** (fiscal transmission and twin deficits, {cite:t}`excess_aggarwal_2023`; energy and supply shocks, {cite:t}`managing_auclert_2023`, {cite:t}`monetary_nuo_2025`, {cite:t}`real_campos_2023`; optimal policy rules, {cite:t}`optimal_mckay_2022`).\n", + "\n", + "Cutting-edge topics include multi-country or monetary-union HANK with heterogeneity in both regions; fiscal transmission and twin deficits in open-economy HANK; distributional effects of devaluations and trade shocks; spillovers and global drivers (dollar, QE, US monetary policy); and optimal monetary (and fiscal) policy design in HANK.\n", + "\n", + "Open questions that remain include empirical validation of the real income channel with micro data; integrating household and firm heterogeneity in one open-economy HANK; a unified treatment of financial frictions and dollarization with the real income channel; non-linearities and large shocks (contractionary devaluations, hysteresis); optimal exchange rate regime choice in open-economy HANK; and welfare-based policy evaluation that explicitly accounts for inequality and heterogeneity." + ], + "id": "a9c74570" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The model\n", + "\n", + "The model builds on the canonical open-economy model of {cite:t}`Gali2004-kj` with some additional ingredients:\n", + "incomplete markets, heterogeneous households, and sticky wages as in {cite:t}`Auclert2018-zw`." + ], + "id": "4ef852e0" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Domestic (Brazil) households\n", + "\n", + "The economy is populated by a continuum of households. \n", + "Each household is subject to an idiosyncratic shock to its productivity ($e$).\n", + "This risk cannot be insured.\n", + "\n", + "A household with asset level $a$ and productivity level $e$ at time $t$ chooses her consumption of home (let's say Brazil) and foreign goods as well as her saving, by solving the following dynamic program.\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "V_t(a, e)= & \\max _{c_F, c_H, a^{\\prime}} u\\left(c_F, c_H\\right)-v\\left(N_t\\right)+\\beta \\mathbb{E}_t\\left[V_{t+1}\\left(a^{\\prime}, e^{\\prime}\\right)\\right] \\\\\n", + "\\text { s.t. } & \\frac{P_{Ft}}{P_t} c_F+\\frac{P_{H t}}{P_t} c_H+a^{\\prime}=\\left(1+r_t^p\\right) a+e \\frac{W_t}{P_t} N_t \\\\\n", + "& a^{\\prime} \\geq \\underline{a}\n", + "\\end{aligned}\n", + "$$\n", + "\n", + "where per period utility functions are defined as follows:\n", + "\n", + "$$\n", + "u\\left(c_F, c_H\\right)=\\frac{c^{1-\\sigma}}{1-\\sigma}, \\quad v(N)=\\psi \\frac{N^{1+\\varphi}}{1+\\varphi}\n", + "$$\n", + "\n", + "with $c$ the consumption basket\n", + "\n", + "$$\n", + "c=\\left[\\alpha^{1 / \\eta} c_F^{(\\eta-1) / \\eta}+(1-\\alpha)^{1 / \\eta} c_H^{(\\eta-1) / \\eta}\\right]^{\\eta /(\\eta-1)}\n", + "$$\n", + "\n", + "The consumer price index ($P_t$) is defined as follows: \n", + "\n", + "$$\n", + "P_t \\equiv\\left[\\alpha P_{F_t}^{1-\\eta}+(1-\\alpha) P_{H_t}^{1-\\eta}\\right]^{1 /(1-\\eta)}\n", + "$$\n", + "\n", + "A household in state $(a,e)$ splits her purchases between foreign and home (Brazilian) goods according to\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "c_{Ft}(a, e) & =\\alpha\\left(\\frac{P_{F_t}}{P_t}\\right)^{-\\eta} c_t(a, e) \\\\\n", + "c_{Ht}(a, e) & =(1-\\alpha)\\left(\\frac{P_{H_t}}{P_t}\\right)^{-\\eta} c_t(a, e)\n", + "\\end{aligned}\n", + "$$\n", + "\n", + "Monetary policy abroad keeps the price of foreign (US) goods in foreign currency (dollar) constant.\n", + "(i.e. Jerome Powell keeps the price of Ford fixed.)\n", + "We assume that imports are denominated in foreign currency and therefore there is perfect pass-through of exchange rates into domestic goods price. i.e. $P_{F_t}=\\mathcal{E}_t$ where $\\mathcal{E}_t$ is the nominal exchange rate.\n", + "\n", + "The ***real exchange rate*** is then given by\n", + "\n", + "$$\n", + "Q_t \\equiv \\frac{\\mathcal{E}_t}{P_t}\n", + "$$" + ], + "id": "4320b87a" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Foreign (US) households' consumption of home goods (nuts)\n", + "\n", + "A foreign household has the elasticity of substitution between Home goods (nuts) and Foreign goods (cars) of $\\gamma$.\n", + "Denoting the foreign-currency price of home (Brazil) produced goods (nuts) by $P_{H_t}^*$, export demand for home (Brazilian) goods is given by\n", + "\n", + "$$\n", + "C_{H_t}^* = \\alpha \\left(\\frac{P_{H_t}^*}{P^*}\\right)^{-\\gamma}C^*\n", + "$$\n", + "\n", + "That is, $\\eta$ is the elasticity that Brazilians have between nuts and cars and $\\gamma$ is the elasticity that Americans have between nuts and cars.\n", + "\n", + "However, households in both countries have the same level of home bias." + ], + "id": "bce09376" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Trade elasticities of imports and exports\n", + "\n", + "The elasticity of imports with respect to the relative price of imports $P_{F_t}/P_{H_t}$ is $\\eta(1-\\alpha)$.\n", + "And the foreign counterpart of it is $\\gamma$.\n", + "We denote $\\textit{trade elasticity } \\chi$ as the sum of these two. That is:\n", + "\n", + "$$\n", + "\\chi \\equiv \\eta(1-\\alpha)+\\gamma\n", + "$$\n", + "\n", + "The latter term for foreign demand of home (Brazilian) good does not depend on foreign home bias because the home country is too small to affect the foreign CPI." + ], + "id": "488eae87" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Production of home goods\n", + "\n", + "Home goods are produced from domestic labor with constant returns,\n", + "$$\n", + "Y_t = Z N_t\n", + "$$\n", + "\n", + "\n", + "\n", + "\\begin{align}\n", + "P_t Y_t & = P_{H_t}C_{H_t}+\\mathcal{E}_tP^{*}_{H_t}C^{*}_{H_t}\\\\\n", + "Y_t & = \\frac{P_{H_t}C_{H_t}+\\mathcal{E}_tP^{*}_{H_t}C^{*}_{H_t}}{P_t}\n", + "\\end{align}\n", + "\n", + "\n", + "\n", + "The Brazilian firm returns the following real dividend.\n", + "$$\n", + "D_t = \\frac{P_{H_{t}}Y_t-W_tN_t}{P_t}+\\frac{\\mathcal{E}_t P_{H_{t}}^*-P_{H_{t}}}{P_t}C_{H_{t}}^*\n", + "$$\n", + "\n", + "Firms have a unit mass of shares outstanding whose end-of-period price is denoted $p_t$.\n", + "A firm is a maximizer of $D_t+p_t$.\n", + "\n", + "$N_t$ is aggregate labor supplied and $Z$ is the constant level of labor productivity.\n", + "A continuum of monopolistically competitive firms produce home goods with elasticity of substitution between goods from various firms $\\epsilon$.\n", + "\n", + "Prices are assumed to be fully flexible for now, therefore the price of home goods is set at a constant markup $\\mu$ as follows:\n", + "\n", + "$$\n", + "P_{H_{t}} = \\mu \\frac{W_t}{Z}\n", + "$$\n", + "where $\\mu=\\epsilon/(\\epsilon -1)$." + ], + "id": "4cd8ca7c" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Financial sector\n", + "\n", + "We assume frictionless capital flows across countries.\n", + "An unconstrained, risk-neutral mutual fund issues claims to households, with aggregate real value of $A_t$ at the end of period $t$.\n", + "\n", + "We define return on Brazilian bonds in *Real* $i_t$ and return on American bonds in dollars $i_t^{*}$.\n", + "\n", + "Expected returns from different assets are equal, resulting in the following real UIP condition.\n", + "\n", + "$$\n", + "1+i_t = (1+i_t^*)\\frac{Q_{t+1}}{Q_t}\n", + "$$\n", + "\n", + "We define the ex-ante real interest rate as\n", + "$$\n", + "1+r_t \\equiv (1+i_t) \\frac{P_t}{P_{t+1}}\n", + "$$\n", + "\n", + "Because the mutual fund is risk-neutral,\n", + "\n", + "\\begin{align}\n", + "1+r_t &= \\frac{p_{t+1}+D_{t+1}}{p_t} \\\\\n", + "&= \\frac{(p_{t+1}+p_{t}-p_{t})+D_{t+1}}{p_t}\\\\\n", + "&= \\frac{\\overbrace{(p_{t+1}-p_{t})}^{\\text{Capital gain}}+D_{t+1}}{p_t}+1\n", + "\\end{align}\n", + "\n", + "\n", + "We define net foreign asset position to be\n", + "\n", + "$$\n", + "\\text{nfa}_t \\equiv A_t - p_t\n", + "$$" + ], + "id": "5788033a" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Unions\n", + "\n", + "We follow a formulation for sticky wages with heterogeneous households similar to {cite:t}`Auclert2018-zw`.\n", + "\n", + "A union employs all households for an equal number of hours $N_t$ and sets nominal wages at a level that maximizes the welfare of the average household.\n", + "We choose the union objective function that leads to the wage Phillips curve:\n", + "\n", + "$$\n", + "\\pi_{w_t} = \\kappa_w \\left( \\frac{v'(N_t)}{\\frac{1}{\\mu} \\frac{W_t}{P_t} u'(C_t)}-1 \\right)+\\beta \\pi_{w_{t+1}}\n", + "$$\n", + "\n", + "where $\\pi_{w_t}$ denotes nominal wage inflation." + ], + "id": "9105d2ef" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Monetary policy\n", + "\n", + "The monetary authority sets the nominal interest rate according to a monetary rule.\n", + "To get analytical results, we consider a constant real rate rule with shock:\n", + "\n", + "$$i_t = r_{ss}+\\pi_{t+1}+\\upsilon_t$$\n" + ], + "id": "d858316a" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exchange rate shocks\n", + "\n", + "We consider shocks to foreign interest rates $i_t^*$, caused by a foreign preference shock $\\mathcal{B}_t = \\Pi_{s\\geq t}\\left( \\frac{1+i_s^*}{1+r_{ss}} \\right)$\n", + "\n", + "Combining the real UIP condition, the long run real exchange rate ($Q_{\\infty}=1$), and the monetary rule, we find that the real exchange rate is given by\n", + "\n", + "$$\n", + "Q_t = \\Pi_{s\\geq t}\\left( \\frac{1+i_s^*}{1+r_{ss}} \\right) = \\mathcal{B}_t\n", + "$$\n", + "\n", + "The analysis is centered around **the home good market clearing condition**, which can be written as follows under Producer Currency Pricing.\n", + "\n", + "$$\n", + "Y_t=(1-\\alpha)\\left(\\frac{P_{H_t}}{P_t}\\right)^{-\\eta} C_t+\\alpha\\left(\\frac{P_{H_t}}{\\mathcal{E}_t}\\right)^{-\\gamma} C^*_t\n", + "$$\n", + "\n", + "We contrast a case of complete market with a representative agent against an incomplete market with heterogeneous agents." + ], + "id": "b1282674" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Complete-market, representative agent model \n", + "\n", + "The exposition of this specification can be found in {cite:t}`Gali2004-kj`.\n", + "\n", + "In the complete-market representative agent model where the interest rate follows\n", + "$i_t = r_{ss}+\\pi_{t+1}+\\upsilon_t$,\n", + "the linearized deviations of consumption from steady state consumption over output $dC_t$ and output $dY_t$ in response to the\n", + "real exchange rate's deviation $dQ_t$ are given by\n", + "\n", + "$$\n", + "\\begin{align}\n", + " dC_t & = 0 \\quad \\forall t \\\\\n", + " dY_t & = \\frac{\\alpha}{1-\\alpha}\\chi dQ_t \\quad \\forall t\n", + "\\end{align}\n", + "$$" + ], + "id": "00a4a036" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Incomplete market, heterogeneous agent model\n", + "\n", + "Combining the price setting condition and the production function, households' real wage income is given by\n", + "\n", + "$$\n", + "\\frac{W_t}{P_t}N_t = \\frac{1}{\\mu} \\frac{P_{H_{t}}}{P_t}Y_t\n", + "$$\n", + "\n", + "Then real dividends are equal to\n", + "\n", + "$$\n", + "D_t = \\left( 1-\\frac{1}{\\mu} \\right) \\frac{P_{H_{t}}}{P_t}Y_t\n", + "$$\n", + "\n", + "Dividend determines households' capital income through real interest rate.\n", + "Therefore, the path of aggregate consumption $C_t$ is a function of the path of aggregate real income $\\frac{P_{H_{t}}}{P_t}Y_t$.\n", + "We denote this \"consumption function\" by \n", + "$$\n", + "C_t = \\mathrm{C}_t \\left( \\left[ \\frac{P_{H_{s}}}{P_s}Y_s \\right]_{s=0}^{\\infty} \\right) \n", + "$$\n", + "\n", + "\n", + "### Proposition\n", + "In response to a shock to the real exchange rate $d\\mathbf{Q}$, the impulse response of consumption and output is given by\n", + "\n", + "$$\n", + "d \\mathbf{C}=-\\underbrace{\\frac{\\alpha}{1-\\alpha} \\mathbf{M} d \\mathbf{Q}}_{\\text {Real income channel }}+\\underbrace{\\mathbf{M} d \\mathbf{Y}}_{\\text {Multiplier }}\n", + "$$\n", + "\n", + "$$\n", + "d \\mathbf{Y}=\\underbrace{\\frac{\\alpha}{1-\\alpha} \\chi d \\mathbf{Q}}_{\\text {Exp. switching channel }}-\\underbrace{\\alpha \\mathbf{M} d \\mathbf{Q}}_{\\text {Real income channel }}+\\underbrace{(1-\\alpha) \\mathbf{M} d \\mathbf{Y}}_{\\text {Multiplier }}\n", + "$$\n", + "\n", + "$\\mathbf{M}$ denote the derivative of $\\mathcal{C}$, whose elements $M_{t,s}\\equiv \\frac{\\partial \\mathcal{C}_t}{\\partial Y_s}$\n", + "\n", + "Rearranging the terms, we get\n", + "\n", + "$$\n", + "d \\mathbf{Y}=\\underbrace{\\left(\\sum_{k \\geq 0}(1-\\alpha)^k \\mathbf{M}^k\\right)}_{=(\\mathbf{I}-(1-\\alpha) \\mathbf{M})^{-1}}\\left(\\frac{\\alpha}{1-\\alpha} \\chi d \\mathbf{Q}-\\alpha \\mathbf{M} d \\mathbf{Q}\\right)\n", + "$$" + ], + "id": "d81dff4c" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Channels\n", + "In each model, the impulse response of output to a 1% exchange rate shock is decomposed as in the figure below.\n", + "\n", + "![figure03.png](attachment:figure03.png)" + ], + "id": "4ae147cb", + "attachments": { + "figure03.png": { + "image/png": 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" + } + } + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, we have the following proposition.\n", + "\n", + "### Proposition\n", + "Consider any model of consumption characterized by a matrix $\\mathbf{M}$, and an arbitrary exchange rate shock $d\\mathbf{Q}$.\n", + "If $\\chi =1 $, all aggregate quantities and prices are the same as in the RA model, and in particular, $d\\mathbf{Y}=d\\mathbf{Y}^{RA}$.\n", + "Moreover, provided that $\\mathbf{M}>0$, for a depreciation shock $\\mathbf{Q}\\geq 0$, we have\n", + "$$\n", + "d\\mathbf{Y} \\lessgtr d\\mathbf{Y}^{RA} \\text{ and } d\\mathbf{C} \\lessgtr 0 \\quad \\Leftrightarrow \\quad \\chi \\lessgtr 1\n", + "$$" + ], + "id": "bfb03ac0" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This figure shows the contemporaneous response of output (left) and consumption (right) to an exchange rate shock at different levels of $\\chi$.\n", + "![figure03.png](attachment:figure03.png)" + ], + "id": 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" + } + } + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Contractionary depreciations\n", + "\n", + "When $\\chi$ is sufficiently below 1, a depreciation of domestic currency leads to a contraction in output.\n", + "\n", + "### Proposition\n", + "If $\\chi<1-\\alpha$, the output response to a depreciation shock $d Q_t \\geq 0$ has negative net present value, $\\sum_{t=0}^{\\infty}(1+r)^{-t} d Y_t<0$ in the heterogeneous-agent model. Moreover, given a depreciation shock, there is a threshold $\\chi^*$ between $(1-\\alpha) M_{0,0}$ and 1 such that for any $\\chi<\\chi^*$, the output response is negative on impact, $d Y_0<0$." + ], + "id": "5d7fe896" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Monetary policy\n", + "\n", + "A monetary policy has two distinct effects: a change in the interest rate alters the path of the real exchange rate, and affects asset prices and their return.\n", + "Hence, monetary policy affects output through four distinct channels: the interest rate channel, the real income channel, the multiplier, and the expenditure switching channel.\n", + "\n", + "An accommodative shock in the interest rate has a lower or higher impact on output depending on the value of the trade elasticity.\n", + "The following proposition elaborates this result.\n", + "\n", + "### Proposition \n", + "Assume $\\sigma=1$, and consider an arbitrary first-order monetary policy shock $d\\mathbf{r}$. If $\\chi=2-\\alpha$, all aggregate quantities and prices are identical in heterogeneous- and representative-agent models. Moreover, provided that $\\mathbf{M}>0$, for an accommodative shock $d \\mathbf{r} \\leq 0$,\n", + "$$\n", + "d \\mathbf{Y} \\lessgtr d \\mathbf{Y}^{R A} \\quad \\Leftrightarrow \\quad \\chi \\lessgtr 2-\\alpha\n", + "$$" + ], + "id": "f3a3a5d3" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This figure shows an example of the proposition.\n", + "\n", + "![figure06.png](attachment:figure06.png)" + ], + "id": "16ce1a1a", + "attachments": { + "figure06.png": { + "image/png": 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" + } + } + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Quantitative model\n", + "\n", + "For calibration strategies and results of the full-fledged quantitative model, please refer to the paper." + ], + "id": "d655cd49" + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} \ No newline at end of file diff --git a/models/We-Would-Like-In-Econ-ARK/OpenHA/Shin_ARSS.ipynb b/models/We-Would-Like-In-Econ-ARK/OpenHA/Shin_ARSS.ipynb index d452ce17..72c34f9c 100644 --- a/models/We-Would-Like-In-Econ-ARK/OpenHA/Shin_ARSS.ipynb +++ b/models/We-Would-Like-In-Econ-ARK/OpenHA/Shin_ARSS.ipynb @@ -22,7 +22,7 @@ "id": "4e619c4e", "metadata": {}, "source": [ - "Notebook created by Junhyeok (Julian) Shin on May 6 2023" + "Notebook created by Junhyeok (Julian) Shin on May 6 2023. Coauthor: Siying Li." ] }, { @@ -45,6 +45,48 @@ "We will refer to the goods of the home (Brazil) as Brazil Nuts (nuts) and that of the foreign (US) as Ford cars (cars)." ] }, + { + "cell_type": "markdown", + "id": "3b82a269", + "metadata": {}, + "source": [ + "## Prior Literature\n", + "\n", + "The paper rests on three strands. \n", + "\n", + "- **Open-economy New Keynesian foundations** (Obstfeld & Rogoff 1995, Gal\u00ed & Monacelli 2004) supply the small open economy with nominal rigidities, terms-of-trade and expenditure-switching effects, and the link between exchange rates and aggregate demand; Clarida, Gal\u00ed & Gertler (2002) and Corsetti & Pesenti (2001) add international transmission. \n", + "\n", + "- **Heterogeneous-agent monetary transmission** (Kaplan, Moll & Violante 2018; Auclert 2019; McKay, Nakamura & Steinsson 2016; Werning 2015) supplies the micro structure: in HANK the main channel from rates to consumption is indirect (general equilibrium labor demand) and redistribution (earnings heterogeneity, Fisher, interest rate exposure) interacts with MPC heterogeneity. \n", + "\n", + "- **Exchange rates, real income, and redistribution** (Laursen\u2013Metzler, Krugman\u2013Taylor, D\u00edaz-Alejandro; Lane & Shambaugh 2010; Cravino & Levchenko 2016; de Ferra, Mitman & Romei 2020; Bems & di Giovanni 2016) tie the two together. Together these strands make it possible to study how exchange rate movements alter real incomes and redistribute across agents with different MPCs.\n", + "\n", + "Prior work had either open-economy models with a real income channel but no heterogeneity, or HANK with redistribution but no open-economy structure. The real income channel had therefore never been **sized** in a model with both. This paper builds a tractable open-economy HANK and uses it to size up the real income channel (including its redistribution/MPC dimension) relative to other channels." + ] + }, + { + "cell_type": "markdown", + "id": "a9c74570", + "metadata": {}, + "source": [ + "## Subsequent Literature\n", + "\n", + "\n", + "\n", + "The paper remains a working paper. Dozens of papers cite it. The citing work clusters into three directions: \n", + "\n", + "- **open-economy HANK in emerging markets** (real income channel and contractionary devaluations\u2014e.g. Latin America, CEMAC, Peru; deposit dollarization and household heterogeneity; nominal devaluations and inequality, as in Blanco, Drenik & Zaratiegui); \n", + "\n", + "- **beyond the small open economy** (two-region or monetary-union HANK such as Bayer et al. \"HANK\u00b2\", Yang et al., Bellifemine et al., Chen et al.; international spillovers and spillbacks\u2014Acharya & Pesenti, Georgiadis et al., Kyriazis, Camara, De Leo et al.); \n", + "\n", + "- **fiscal\u2013monetary interaction** (fiscal transmission and twin deficits, Aggarwal et al.; energy and supply shocks, Auclert et al., Nu\u00f1o et al., Campos et al.; optimal policy rules, McKay & Wolf).\n", + "\n", + "\n", + "\n", + "Cutting-edge topics include multi-country or monetary-union HANK with heterogeneity in both regions; fiscal transmission and twin deficits in open-economy HANK; distributional effects of devaluations and trade shocks; spillovers and global drivers (dollar, QE, US monetary policy); and optimal monetary (and fiscal) policy design in HANK. Key subsequent papers are Aggarwal, Auclert, Rognlie & Straub (2023), \"Excess Savings and Twin Deficits\" (*NBER Macroeconomics Annual*); Bayer et al. (2024), \"A HANK\u00b2 model of monetary unions\" (*JME*); Blanco, Drenik & Zaratiegui (2025), \"Nominal Devaluations, Inflation, and Inequality\" (*AEJ: Macro*); Acharya & Pesenti (2024), \"Spillovers and Spillbacks\"; and McKay & Wolf (2022), \"Optimal Policy Rules in HANK.\"\n", + "\n", + "Open questions that remain include empirical validation of the real income channel with micro data; integrating household and firm heterogeneity in one open-economy HANK; a unified treatment of financial frictions and dollarization with the real income channel; non-linearities and large shocks (contractionary devaluations, hysteresis); optimal exchange rate regime choice in open-economy HANK; and welfare-based policy evaluation that explicitly accounts for inequality and heterogeneity." + ] + }, { "cell_type": "markdown", "id": "4ef852e0", @@ -63,7 +105,7 @@ "source": [ "#### Domestic (Brazil) households\n", "\n", - "The economy is pouplated by a continuum of households. \n", + "The economy is populated by a continuum of households. \n", "Each household is subject to idiosyncratic shock to its productivity ($e$).\n", "This risk cannot be insured.\n", "\n", @@ -205,7 +247,7 @@ "We assume frictionless capital flows across countries.\n", "An unconstrained, risk-neutral mutual fund issues claims to households, with aggregate real value of $A_t$ at the end of period $t$.\n", "\n", - "We define return on Brazilian bonds in *Real* $i_t$ and return on Americal bonds in dollars $i_t^{*}$.\n", + "We define return on Brazilian bonds in *Real* $i_t$ and return on American bonds in dollars $i_t^{*}$.\n", "\n", "Expected returns from different assets are equal, resulting in following real UIP condition.\n", "\n", @@ -250,7 +292,7 @@ "\\pi_{w_t} = \\kappa_w \\left( \\frac{v'(N_t)}{\\frac{1}{\\mu} \\frac{W_t}{P_t} u'(C_t)}-1 \\right)+\\beta \\pi_{w_{t+1}}\n", "$$\n", "\n", - "where $\\pi_{w_t}$ demnotes nominal wage inflation." + "where $\\pi_{w_t}$ denotes nominal wage inflation." ] }, { @@ -360,11 +402,6 @@ ] }, { - "attachments": { - "figure03.png": { - "image/png": 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8eKdqDZTDfdwLvIJTG8NQ7O1CyKPuTSwIN04/AayO4Y8J45TH2aXHNpzp/z/84PKO3n0mQ7qCPaMLQSOGviqXKqi5/k7i5yHuLE6tD008lzRfW0xwdUDgzTuQrG1hmzNh/LOmdH00KncPgUHBSZ5PIcm5CzltYaN5rt54DU1xFC9jBytb6yTn89jAc7+d9udK8abHL+/PE4xbU1rjgzFzMElMUUmu0pl8HrZJm/PE4vGfP8Pr+kUcvhWiDok2/PFaVZ+EP7zeRo2tgzC63Xt4N391lJ5yAHc41I6MwaYmuk8Zhm4PfsaEqbtxNdHfVULM/LGrLmZe0MbMxXLMfJ7aP8I3vc7C8CDZ2NNAG3vuHcPRDWEoWuLNMXPed0lfV6XliJ0CJWa+9UrMTMtcXo18Ti9rmRscZ9VzNXacLZtynE30fPWbr8ShV5+vhLiVuuOTesN7phHjrHYtB8Mfr4iz85aVYJwlynTy+8zapO8zaemby16Ji4ljT9y9i9gvyXHEWi+aaiqjSkMH4PwV+B71R0TNkihnk0z8UaTch2N9luyHSQULFocCKNfTE56dT+PgiBn48Zbe8mGP1mLZks8x9WcPrFu3TrnMneuN6d+3Qo0Lm7D4gBwojCFHMRStao2Y09dx/mXPNB4vIsPx3Kom6pTJA9u3YnH78j295S7jEROjm72ZH4VL2wFRVdHzu5/Ux7ocK8YNwpj3iqT8B6yphA9/eSJG46iXSzjb+Z3EnVFNXuR9Jy7Jvy/kRsGiheTn6RJO39dbZutFKELvlEP1SsUT3096SHdw+0w8ajWqhGJqk1Y+A8+9UNqfq9SQzmPX2K74vNRM/PXzV/BwbYayb1nJXeA3kx7YoLznLuwacxY7Ww5Gx513EJOGxys9Poez9ddi49kIhN3chJ2/5kHu79Zh1eNXP3oQGU6slqNNxub+7Tv0WH8zoSaAGjN/mv5qzKx+fiOWHPhPPTC9EmLPqfvRCfPsdbGnSjnklWPmnStvjpmfTZiSqtfVS0rM/O+VmJnu2JGKOJvsuRo7zvrHo2YKcTZ1z1dC3DL4+U0NEWfHdVPi7N96cTY1dHF255hzSpztsOsuotPweLVxdh3jLFFmk99nli8ZmvF9c1mOt0qiOu7izPUgvcRxBCLCYmHVvCZq5rGB5tRVnNZLZEixL9RkpZByHy41fUOyLOl+/yMTZ+2i/eYtcA6mT92Ok0qxp+e48+86bBn/MVon+gbECnb1+mBAA3/sW70P5wxIiL6Wpi6a93sP5dZtwpzTz7SdRrlzd9b3Imw8++HLEuXQpPs7iJjxO9wPByIScQi/NhsL/3dZPlYcXRD1OrZF8/t/Yvr8I7imPP4YhF9ZiZXXI8S9pY9VHbj0rAyriT+j/x5dUbHnCLwHlPm4FwbZ/olVG3VFa2IQ6r8DfzQchckfl0hHwHyGm7f/U/+tcAT5TMPXETMx45X7TN25a+zj8fz5C8SHWqF8mzYZ91zF38Bln1DEhz1HmBSJh/vnYstRvQ8Cb2JbBs1/3I2jsx7gRushaLspEpUNOr/7eHJlOSb53JGfO2vkLeOKZq0aoFDxynByYCgjY9EmY2d1voiTE+ZgWkCU/DcuYuZaJWa2yvNqzBzY4DT2rzFSzEReOfb01MaeDfqx5x9t7GndDM495Jj5yx9KzIzSi5laaty49yd+ll9XV40dB9JCxNnPtHG23957cpwXdHE2hXM1cpwdHfkrfv7o7dfGWfF8pTrOqs9vxsfZ35U4m2pKnP1XibPXWw5Gu40R2jj7hsebNM56+NyVf0+6OFufcZYow6nvM99+lPF9c5mmbE/0H/AY19f9g21q8UYp1A9+853Rd1gbODf7CB9fXIIf5qlxI8wPf/2+An8rRwqlMrZ/TuZHIgsRI4UenyB5fF1HcskLSeM8WGrrsUM6odRLeCpdX1JDKqipJZUb5C71H9RY6lgqp5S/2zjJ7Z+AhFoCcSeknZM/lnrWtpIjQwOp6shV0uYQteCCELpFWj6+gdTKykr92RPSiYWdpS8+tpXwbm+pxeSdyr+nndcl//yI36Tfb0VJUvQl6diCplL93C5SnS/GSl90+1BqN/+wdDVaO8kqPnS7tPqr0vLPiM+nlaV3vtso+f5RQ9IU+ERqMP5PaUvoc+ne7j5Sn1o5RcSSkLehVH3SFmlvaLRyzpMHlpQK6P97hoo+Kx34ta70nvy8KfdfrpXUbOMN+XkJkx4dGiF9UTufVKT3WGnE4BaSy5dLpHUPxb9xVzqV6Ny3S6ePJvNYxPwyxxwvn+tYZT5aAalgQRvJtoGr1Kxce6nVshPSFeW50P4OE99H8GvOXZ3jGn9dOjSxpJQPeaVcPZdK/4SGp3z8S+Lxd0n0+P1f9/hL637fZ6ULi+pIFeT71dTtL322Zau0qIetlKPVcKnXPyel4/rPx8hftT//yt9MgBQXf086N6+2VF5TX6q59rxSiCx157dEOrq7m9Q4x7tSuSHjpbFfukjvdpopLbybht85kSD/fS4d2Uoa2Mha/ttrJtX5eo4aQ0QBqlFSt3waKdcn70r5yrZLFDNf1gVIJmZuCdWLmYa8zvTjhC72OCUXe9SYOdxRL2ZuUGImEsXM3pKbU+LX1R7xukrmNfnyPSBVkpzT9z9J0yZqnwOrVl9Jny46JT0Shyl1DcpJJQdOkcaeeCbFq3G2nn6c3XRTepHiub4aZ98cp+QYo/zbr8ZZ7XvO6+NsoufLY/MrcUgU8RRxSBtnkzy/+sfrpOI986T6nlleo3ssj6XLi95NiLObtXHWKk1x1kmqYKWNs3dSeryJzm+xEmcbWTHOEqVdMn3y4cukLWqfOu7W79LUb5ylT8trJFToLPX6pp5UrZ5rqt9nEvXNk4tpp3a9EhNidTUOXsYe+X0ucK3kNbiElKtBX6nFiMFSb5eR0qhDD7X1W0QMWf6R1FoUk5Rjg23rH6Q1u4ZIPZEQ1+Xg85o+Z1CS9z5trCPLphH/k/8QiCgzPPBAn7f9EHlkG9a+n5fDw4iIjE2Os24l/RBxeBvWyXGWiIiIMhbHshERERERERFRmjCpQERERERERERpwqQCUSaJD/gDv/6yHhdwF4cXz8G3J4PVPUREZAy6OHte0sbZcXKc5RxPIiKijMWaCkRERERERESUJhypQERERERERERpwqQCEREREREREaUJpz/osbKyAp8OIsoK8fHx0GgsZ5FRSzoXIjIvlhRPGUuJKKsY8rmYSQU9Iqkg3oiIiDKTiD1xcXEWl1SwtEQJEZk+S4s94jzYVSeizGbo52JOfyAiIiIiIiKiNGFSgYiIiIiIiIjShEkFIiIiIiIiIkoTJhWIiIiIiIiIKE2YVCAiIiIiIiKiNGFSgYiIiIiIiIjShEkFIiIiIiIiIkoTJhWS2L1ggXqNiIiIiChrTW7XDpAk9RYRkelhUiGJ6z//rF4jIqL02Pntt+o1IiJKq2J//aVeIyIyTUwqJJHz5k31GpHxSLe/Q8dqX6Bzr17o0qWLcvEY8y6a5dNAU/4XrItRDzRYPKKuzcbMUU1Q8fO/cE1tJTIFt9avV68REVFaWUsSk7REZNKYVEhCBG7vAQM4zIyMSpO7IGxGjcCaFSuwahRwan1BYPgR+ISdhXeRWGjU45KSwvZgXT8vbIt43d+jFXJVGIIe70fi2vNoRKutRKaASVoiIuNgkpaITBmTCsl48Pff6jUiIykyAmv6lUMO9WaCCmj4Q3PUyaneTCLu4v/QZ3UQomxel3YgMl3Kt2vjxqm3iIgoLWI0GiZpicikMamQRFTOnMgbGIint2+rLUQZKReKNK+LcuGHsGfRFxjZ1QOjN5zCtRgJkAIRcPEW4uLOY/2fizBm100EX/0Nc4c2RI3WX2DgnruIUu+FyFRd9/JSrxERUVrEli3LJC0RmTQmFZKwql5d2fpNnqxsybxpNJpMuaSH9HQpJtZajb3OP2HmIhc0PNAOTSbtxYPIu3gcIu6/AEqWdULv6n6Y81kh1P9tL/aOe4ZHLaZg2v00F2MgynBM0hIRpV+Zzp2VLadAEJGpYlIhiXpjxyrF7o7euKFtIMpQz3F3uyd+7tcDYyvkhyafCzp8PQCtp87HlDs1UK+BI6ys3kaDBnVRvURffH+sOd46tBT7robDBpdw8d4L9X6ITI/UsCHOy1sfTikjIkqzFlOnIihPHhyS+6bBwcFqKxGR6WBSIQmnrl2xsnRpTPf1ZeC2AJIkZcol7SIQdO8h9O9BU7QaKts8Q2hknNqiJT1agO+rjMYUmw5o16cn3rPmKAUybfU9PfGLvF2xa1c6XydERNnbg4EDsULebt68WdtARGRCmFRIhqurq7L1WbRI2RJlnAKoVL8ecqz3w5ZQbRJBCryAE4Xa4NNKdsrtPFIMXsTG4r/DSzDFqTWGvl8UmsBLuBX3atlHIlPi5OSE0qVL49yWLZwCQUSUDn369FG2Z1etYpKWiEwOkwrJ6P/xx1io0eDBzJlqC5ExxCPy2iKs2HgcT3EO25Ztw9YgCfkaTcHW9osxrP0X6PJlO3Tvag2XI0PR3k6DHCWd0PWd79Cr5heYYtUBw44PRMtOw/CpdzhyaAJx4d/DOHVqCbx95A9sl/bBc/cNcHwNmZJvKlbE9/J2H+vUEBGlmUjS/mxnh1r//otnTNISkYnRSEx3vmRlZYX4+Hjl+v9sbJArJgZtAwJQsHRppY2IKCOI2BMXF5fuop+mRJyLiKdn1q3DmW7dEF6sGIY9fKjuJSLKGLrYYynxVJyHrqu+sHZt2Pj7I3///ujA0bRElIH0PxenBkcqvMbLVSB+/FFMzFeuExGRYUSdGq4CQUSUfqKYuPCAxW+JyMQwqfAa9b75RtkycBMRpU+iJC0REaUJk7REZKqYVHgNBm4iIuNQvl3TaJikJSJKJyZpicgUmWdSIewQ9swbiK4j58DzYkii5fj0SWF7sPn7+qgxbDMORauNBngZuFlgjIgsUgzCry7Bggmfode0v+EblngZ0wQxCLs4HZM+qo3m3jcQobamFpO0RGTxpEBc3zkBHl1H4wvvSwh6bef0AS5v6Ia2Nb7BtOuGRlMmaYnINJldUkEKXYXJ723EweYzsGjoY1xr+jW+vfZqUJbCtmH+hwux+9MdOPu7KxraqDsMIAL3c3l7/tw5bQMRkcWIQeiRfqg72x7Vvv4NHiWnodPg9Tj4SgI2BuFnv8aHbgXx/qYT2N2hHLSLnRpGJGnvyFu/9eu1DUREFuM2jv/QFoNCemHkotZovL0lmq+6+moCVrqP8390Q6/HY7Ho7HSMLW94NBVJ2nAbGzwMDERwMNd7IiLTYGZJhSgE/jMLM9y6YWQFB+SrMABdB3tj4a5bcrdXj3QN+38cgaXfzsCcmg5Ia/1fEbh/Ll0a3x87xsBNRJZFOotdPx1Azd4foaF9QZTr4IbPN6zC0ssilZpAeroUUz+IQ8ctfdAyXw611XD1lixRlpZcduAA11gnIosi3V+K2TM7Y2j7isifzwVtP6uGy7/twb5Y9QBFNJ75fg6X019j5RAnFE3H4hTXhw7FFHm7efNmbQMRURYzs6TCI1w7fQ+lyhZFXuV2EThWLYGn524hQLmtJd1Zgj/mfIbBzd9O9wm6uroqWwZuIrIoEf44s+MjVC2lflNmVx3VWu3D6VvPtLcVz3F3++/4ZWgXDCiWhuFeesQa66VLl8aWLVuYpCUiCxKPiGvHsa59eVS1FZkCK9iVrYWOxy7B/4leVkE6iR0zjqNuz0aolM7VLvv06aNsRd+USVoiMgVmllR4gv9uR+jVULCCtbU1pMhoJIzYjcZ/p32w/r2b2NutFro2s0cO53GYci3xt2+CWPtX/5JcYHZ3d8cseV/k55+rLUREFiDkLu7E6L0FaKxhYychKlp/TeKbOOtzC/kvL8PgppXRonJuFPn81Ro1SWOpuCTn6xo18Lu89f36a20DEZHZi0Fo0CMkCqc5bWErRSMqVkrosz72w76d5XF3YT+0a1MKdXJ8iMabbiBS3a0j1oZ/UywVSdpx9vZos2ULnrFODRGZADNLKiTPyiGPOnJBCMHtyzeRo1oXfLf1HNbuPYZd9RZg0sIjeKgeoSOSCPqX5IK3o6MjbHPnhl1kJG4dOKC2Ehko8jB85rdE25w5YN99LHr16ozvB5ZG7mpfYOTZYOh/jEuVyAPYNqUDhlYcjelBSYrrSYG4unRrCkX3TNV/uL5zLH4Z0git/n7w2gKsGSseUddmY+aoJqj4+V+4prZmF1KsNezt9EYkxF7GxT+LwPEzD6zbfxk7D/0CN69xGO/zWD1AK2ksFZfkNOrZE3nk7cONG7UNREQWKt4qD+xtNS+n4MbeOoVtOeqg18z12PrXDez+xxoPui7C0pDEPYD4+Pg3xlKhTJkysJa3SjHxFI4jIsoMZpZUKIbilWwRFBSq1lCIQdTzKBSoWBIllNtCTuTOY4ccZYrBUZydxhFV33NEXGgEwrUHGMyhRQtle2TmTAZuSpvcDdBsQH80sbZByY7DsGLFevywcAc2f7AcsxcfxR1D/6xyN0bbvrUQcS0ckfrfhAjPNmLh5x6YdPhJFn0wT6u3UL5FF5QNOY87EVmVELFCrgpD0OP9SFx7rj8CygIVLI8KNvdx74l6ltJzhB2vgKql8mlvC5q8yJM3D8oUd9C+WRRsgPfbPEJo1Atlt6FEnZqI3LmRJziYSVoishA2KPB2KdhcfoR76luXFBmKewXKoqpDTm2DzMouP97OUQLl3hKpABsUrF4fjeOeI/RF2t6plVUgZFwFgohMgZklFQqjUr3KCDlwHmdFDJZu4uzfcWjVsDSsY85j/+wDuBBjjzJ1asP66HWcV5K/oXh0OxzVP6yJcuJmGtQfOVLZBu/cqWyJjMMe9m/ZwMrWWu5eGFHBYZgReQo+HxdJc5FSygZy1UW9foex/2ygdqRM0EH4Pe+KdmWfqLFUDrI5aqDOsKc4cz1Ie0z0Hdzx6YS2dYqIW2mSKElLRGT2NMhVuSmGnDoB33vRkPACj88dw/nxDeEs6fqmEqzKOuMT64s4dV8kciVEB97CP13ktsJpK4Crv1Qvk7RElNXMLKlgjYIfz8H2sj+ha9/x+M5tIGa0WI2ZTnkRd2Mepoz6DX/ceAG7hlPxT62Z+Kzvtxg/vBOGPZ+Hle3fSfPJlmncWPl2jVMgyHjCEXTkR8ye3RGjB9ZHcfHpP+wQ9swbiG7fe2Hx1VB1lEEMwq/+hrlDG6JG6y8wcM9dRCntr/MQ/r83wodl8qLa+tt4fuorDBB1RQYsh9+WPuhZoxEajl6PHaG6kQAxCLs4B7+PaoSaPb7FF7tva5fAEo9l0RcY2dUDozecwjW5QxR3aRwGtiiCXJUmY+X2oRjY3AmNvtuMvf9dhe+Mj9C6Rh909b6GEOV+ZcmeT2JSmA/+/tUVPWp+hvaePjgrPsiK9icX8ffkpqhRoydcV53HI6U56XNxD9Hq+X5QPD9qL9mNv/R+5qkk9jXU7lv8b8L9/XkuYf3wVDxGy1UJH0yYhC6TuqLJqNHo98lNFNjjhlb3fsbkkSKWRsnPR0nU//wH9F7QRj7mW4xothJH10zEN6XSngarP2qUKMLAJC0RWY5CA/DNX6HY9eEgfDmmNVqvGoAVA2rC+sZ8tW8qv3Pn6Ywhf0s4+dFA9BvRBs2+rIKpM9ugRjqy//nbtFG2R379VdkSEWUZiV7SaDTqtVetcnWVvOSnS2zJfOAX+XNRCpd4+b/UHJfSMakWs06aniuXVHnSJGloeY1k1WWutCYwSt4RL0Xfmy2NqjhKmnT1mRR2wV3qnneQNPbqc+VnJtX9UzoeEykF7eshtc0xWJp4L1p7f/cnSr0h374fo56FzklpY7f8UtV1d+T2KOnB2joSKgyQBhx6IEWHbpb+6JhbyvvDQek/KUK6v72z1Oing9KV6Ejp0d5O0juTj0svniyRvnf8Qvr2aogUF+ojbfyqhFRk/B7p7rOT0smFDaQSmlZSiw2XpdCQ9dLsVrmk3K0mSVPlxx1yoq/8+PpKYwOitOdTST6fK+J8hkvd8sjncyVcfXyC9pyHNfKU1jyMlGIC/ydNfGe6tC76prSxRy4pV8//ye3PpbAzQ6QuVk2ldvueap+Ld+XnQn6s4rloYyWf+90X8j3J5/u6n1H35e45X1obqN3XNYe8b//ThMeoPOfDE55z5Tl7V0LvjdJ55bFmPBF74uMT/xbNnXh7ed05/WFnp8TTm/v3qy1ERMaRUuwxRyl11UUM9ZLfP/7InVttISIyjpQ+FyfHzEYqZB3l2zXZTY5UoHSyqtINYyfXR5mNR7DvqagOch8nFk7B3P7d8E0FB+SV97f9eDU2HguClLMzvj/WHG8dWop9V8Nhg0u4eC8N89kbtMLw+sVhna8lXLtWwfPrgYgM34DFnXOjyWf1UME6F4q4zMOOjqUQuH02pvf/DGMr5IdVPhd0GDMQrX+ah6kPq6BmjZJ4YuOCfu0qIV9+ZzRsmg+SSyuMkB93/lqt0Nj6Mm4EBsnnMxm/9+uKMRXF+XRHu49XYeNx+XzUh6Oc84KfsWtoe3Qulgs5i/bFyB1d0TLnMyDeBmXbtUKXYnbIW3Mgunbxx/XAMEA8F8fl5+Kw9rmw1X8uXvcz6r4yYl9R7b4uXc7g+sPbLx+j9jnvnvCca3+KMpCYAiHW4zm8Zo3oLmsbiYjIILqRtC8iIxEQoL+4OhFR5mJSIZVE4J5VqxYm/PcfA7cZkUZJKV50dZmT26d/SekYw+XGO13+h7mfb8e8b/7EDrkz8OBGKGJ8V+Cz/v3Rpevv2F53Dr6p9xbwaAG+rzIaU2w6oF2fnnjPWlui1Bg0ITdw/XkcXsSolac1hVGlihWC7j1M9MFaU7Qaqtg8Q2hkaosnBuPBdXE+K9FTdz71fpPPp7BejYcgPLwSguiYWPXfskb+KqWRL4VhoJJ4LirLz4W1qxGei5CXjzHpc56OkaiUSg1+/RXD5O3PBw4wiUNElA4vpkzBSI0GmzdvVluIiDIfkwoGcHNzU5adZOCmdNPUQIvx3+KrU1+h7+xryFelEJD/PYyYvxjr1i3HitEt0aKYNf47vARTnFpj6PtFoQm8hFtxaSvolJzYYs3QvNUWbNx8PqHGAAqgUv16yLHOF1vUugtS4AUcL9QGn1YSiwGmRgGUribOpx7c5+mfT251v1ABTi1K4e7GXdj2sr5DSmKV52Jy7dYY8n4x5bm4ma7nIuExJn7O9R8jZRSxVG+tWrVw5swZJmmJiNLB1dVV2Xp5eSlbIqKswKSCAUTg/lbeWn33nbaBKLUiD8Nn0WLsj4nGvR0b8OOJIKDol5i4ph0qj5+JiZFfYspb4/FhvoYo39wVdQevwY4w4K16nfDF8YFo2WkYPvUORw5NIC78ewSnnhyE79p/cUn+b9daPxyO1GUF/sONfxfA72Ik7vv+Da/lv8Db5w5waR9m776BEKgfxOXbk/e+jU9mj0fvXc4o3agDqlX7GB+uCYBto8nY5roIw9p/gS5ftkP3rtZodmwo2j3fCu9t/oiJOYk/1x3B2WO/459jYYg+tgtT5fPRPoJrOPXXYTzpMBcri36Hj/LrnU9orHKEVj6U7fY/eFf5Bd2LNJGPaY4aQxdiw7b/qY99OxZd0y4CK2li8MB3F07kcsYXxwai1afa5yKn8lzswKZN81/zMyvh4fFTsvvu+x7GaZf/KY8x8XMejahrXvJzdlt5jjzl5yxY+SkyttHt2uEHeXtEXV2HiIgMJ5K0X5cqBbczZ1hMnIiyjFKBQb2e7VlZWSE+Xh0K/hrz8uSBXUQEaq1ZoyznQ0SUXiL2xMXFKSOhLIU4FxFPX3dOovO7r0kTZUm0wTHGm9ZDRNnbm2KPuRHn8aau+uqOHRHt7Q3J2RluPj7ih9Q9RERpk5rPxfo4UsFAxXr0ULZHxo8HC4wREaWNqFPz3MEBuWJjsd/TU20lIiJDtZg1S9m+OHhQ2RIRZTYmFQzkPGECYjQa5Lx5U20hIqK0KN6pk7K9MHeusiUiIsMVLF0a4cWKKUnand+KibpERJmLSQUDicAdW7YsrCUJ3gMHcrQCEVEadVi0CDFWVsh94wae3r6tthIRkaHKu7kp2+ss2EhEWYBJhTSoP2WKsn24caOyJSKitJFq1VK2O93dmaQlIkqjFlOnKjVq8gYGsmAjEWU6JhXSQBRojMidGwgO5nJoRETp0HzOHGV7Zc8edQURIiJKC9tGjSDK3u5ZtEjbQESUSZhUSKMiv/yCLzQaeM6erbYQEZGhRMHGA++/j0lhYfD391dbiYjIUB/MmYNBct90sq+v2kJElDmYVEijD3v0gL29Pbw4d42IKF0aDRmibGczSUtElGbv1KyJ9u3b4/bt29i8ebPaSkSU8ZhUSCMHBwd8U78+PEJC4D1ggNpKRESGcnNzwxe5cqHOypUs2EhElA7DWrXCeHl7f+hQ1qkhokzDpEI6tJQ7wgU0GhZspDeLPAyf+S3RNmcO2Hcfiy5dumDIkI74pkNxVPozAPHqYaYhBuFXV2HJ+ZBUznH/D9d3jsUvQxqh1d/31TZ9ht5fGsjP7545ffFV3XGYFRSrNmayyAPYNqUDhlYcjemPsugxmLGalSvDPi4Ofj/+qLYQEZGhmg8ahFIs2EhEmYxJhXTQFWzMExzMwE0py90AzQb0RxNrG5TsOAzr1q3D/PmbMGVsK5RwyA2NephpuIWj87/EsGUncEdkAaQHuLT6C4w/Gazd/Yq3UL5FF5QNOY87EXFqmz7t/X2x7Djuqi1GJz+/H35aGqGnniEkqz7P526Mtn1rIeJaOCJj+e2QoZr/9hug0SBw1Sq1hYiI0kIUbBSO/PqrsiUiymhMKqRTsR49lO3uL7/kMDMyWI4qY/FHk7dMLKlQER/++gSRMz5EafHA4g5iW99TuBaTQ7vbYNr7i5jRHO+oLURJiYKNzx0cYBcZCf+1a9VWIiIylPPkyco29K+/lC0RUUZjUiGdnCdMQIxGA82ZM2oLUSrFbcWwsWGomO82jv/eAO/bDcG4axGQEI+oq0vxw+K98F3aDB3r50auH9fh32nvoXGu4ig6ZAFW3I9S7+R1xJSDJVgw4TP0mvonlpw7gn+/r4KKmkZ4d4YPTsbEI+JgZ5SaeRpRCMGdPQPQ374G3p13EvdOfIUBzexh1XsjzktxCL95AjfinuDCzk2YOuZfnIoHpDAf/P2rK3rU/AztPX1wLkabUJOeXMTfk5uiRo2ecP3zHB5JEiJO6e5vPa6p13MMWIZ9W/qgZ41GaDh6PXaG6UY4iMfthWVT+qDXtE3YGvhCbU8qBmEX5+D3UY1Qs8e3+GL3bblFiMbjixswvUct1PhsEjzOBmunXEiBuL75c7h3ccK7/edi8T35fiO2YEEvR9TJMQQjfVYn+pl4sa9nae2+vUn2Kf+OLOwQ9swbiG7fe2Hx1VAuh2gExTt1UrZHxo9nkpaIKI1Ekja8WDHkio3Ffk9PtZWIKOMwqZBOBUuXRmzZsrCWO8DeAweqrWQqlmk0KV50H1yS26d/SekYQ1gVi8G9Tb8rNRV++HocNrwjIVZTFvWGbcGSaX7w2nYFEWGbMKfnTRRq2RAuff/EmFZ5Ee1zESc77cb+x2uwyP4HuA1bj4PJzTRQSfdnYOjHT1BgjBfmtT+O371zwOWbb9ErTwxKNqiNOjnPY8/yHbi3cS+2ReTHO/UbwKHkWCwY8i5K1p2BH4eWh6ScWwSCgsJgrbGBfYl3UKFnLVR5OAdftT6L8M/WYPm/zqjteRyXNQXlk4tGwMHbeD5wBw7/mQ+5+nyBQQeCYVdHe3/Q5EB0nV+1973vAFYUnY6lh8agV4AbOnkew1PEIGhvN9RdWBINxnjCo9QsfFO8GaqNWoIViWoUhOHBP5+h1Za6+GjaHuweeA3bjj5WR3v4Y99FR3Rctger31+HH7vPw58R8nN8bCy6hY3CjD9X47dynhg04W+cz90eg6a7oUb8Mfx7rgw6KD+zVvszUjsM+rmvus8x8b7nEmLuz8Houptw8MMZWNTNH7vrfI1vrz5XHgGlXYeFC5Ukbc6bN1mwkYgoHcq7uSnbC3PnKlsioozEpIIR1J8yRdme57rA9AbxgdYvayp8P3EY3g3TfRtbBFXdvsPwX4ahcb8jCPlzLIa9nUtut0ZOWyvYtGyDERXyQ5PPGW0GdUHbLQfxb6D2u/nkSE9v4tKj41i5YjOWP+6DX90qI2eehmg46DoOnAjAizvr8UvBcfj+8iqsPPUMz0/74vhkF9R5JUeSD2XrN8M7VvlQskZdfFozGv4LfsauIe3QpWgu5CzaFyP/6YqWOZ7JJ2eDMu1aye12yFtzILp0OYPrgWHq/STRoBXc6xeDdb6WcO1SBc+vP8QTXMbRVXsQVc0R5a0LoGyTJqia+yOMnOiGXkVzqj8oe74ZizvnRpPP6qGCdS4UcfkDOzpWhHZyxnvo9Glduf0tVP+0M3pevI3rwXHI8b4XjrsG49jWLbgZIYc9X/n5eZmU0f+ZLsrP3AjWJTGS2/cYJxZOxtz+3TCmogPyVumOdh+vwsbjQRytYARSrVqIliTsW7ZMbSEiIkO1mDoVUdbWCL1xA8HBr6uJRERkHEwqGIEo2DhL7gh/LwfugIAAtZVMQR/5w0lKF1EYLlXHpXBMmuXvjF97VoKNelOTuzwqtL+Kq6iIRvIH9teytkVcwcqo85beB+0krKpPxtoN7+Ddsx5Y1/ddNPtiFXZEOKJeqzoI/etfLF1wCg2HDELHb//Dvzt8sGtuKfT5sHgqajsE4eGVEETHxKofoK2Rv0pp5HvzD75RNKqg8YBOqOX+ORqP+gYDBsWiypER6Jc/SZgKuYHrz+PwIkadiKApjCpV8qfw2GPw2KcbKvc9hvuNR6Bb29qwDkzPehuheHA9FDG+K9Czf3906fo7ttf7Dd/UK2xitTHM00fe3hgmbz3kLRERpd3Db7/FN/LWy8tL20BElEGYVDASd3d3+fOpBp6cu0apJT4Ml9mKYe18ECw9xuX5Y7GkywHsrT0dvSbtxHm1ToEQ/yQUT5SbT3H1rz14tKQT2lhdwP7ZB3BB7ziduFOzMLPYJHz3vwvwvbgcP+y+hVvRQP6azTHg1Bh89fxLDCr1Fmq0aYMmU9zQq2obdEj64T2RWPlDvPhqvwKcWpTC3Y3/YtvLOgjGkgN5S9VCuXc+wgiPn7B4x8+YXNPh1Q/qxZqheast2Lj5PIJSldN5hKMrdkLq0Aqdi0bj0e07iCuUno//9ihdrZD8ZL4H93mLsW7dcqwY3RItiuVW91N6ODo6wtnZGWfOnIG/v7/aSkREhnJTp0CIvqmUni9BiIjegEkFI3F1dcU4W1tUFsuiESUlXcOplUuwPyb6ZU0FcZk82gOrGoThyuJuaHVjPP5oVhnvDZkA9x290HX6LhyOtFV+PObnnqjyQSdUazABv1T3xr72pSDdmI/JI3/DHzeiXh12r3mI9V+OhOsXw/BVq8U4t+kL9HXIARRxRpM6JdG60/twlF/9VpV6os+HDviwWRUUVH4wHlHXvODtcwe4tA+zd99AZI5yqNLrCrY1/QA1ltxF8W7/w6YqM9G1cBOUb94cNYYuxMZt/4PfxUjc992ORdfClXuSNDF44Ps3vJb/ot6fLyZ9/x2Wydcl+b495fsOUSctiH/Lc/c1PLt3BP63xqBL/pxKkk6TrxFqeB7Fbf0TtGqCzrPHo/cuZ5Ru1AHVqn2MD/+3BTvX7sJF6RJ2rfWTnzfdD4jbl5CnuROsB/RAtZ6/4O8bscgbdA4btm7FX/LPXFKOSfIz83/FzPk7kt+39gzs+i7An0XH46P8DeXnwBV1B6/Bjodn4Zvs/ZGhhrdpgx/k7ZFPP9U2EBGRwUSS9rtGjTDm9m0c4JdeRJSBNBJTly9ZWVkhPj7tw6LnV6iA3NevI3///krBMd3QeqK0e4wT06qjsdXfCBlTF9oUg4WSLsHv297wqLoC63pWRmEE4c72QXBr+w4+fvgrxurXVbAwIvbExcUpiRRLIc5FxNO0ntOiHDnkvwkJHW/dUgriEhGlRnpjj6kR55GervrOceMQOG0aIsuVwxC5j0pElBqGfi7mSAUjqq+uC/xw40ZlS0QGeLwFa35+F84flkdh0RfUFEGpymWBAmVRVYyyoGxFFGwUq+r4/fijklwgIiLDKQUbc+ZE7hs3uKoOEWUYJhWMSBRsjMidG3mCg3HrwAG1lSg9YhD7Ih5SdCyi1RaLVbg9uo3eg9WrjuNaTBzCby3BH8MPoeT23mhjy1E/2U3zOXOUbeCqVcqWiIjSxrZRI2W7091d2RIRGRuTCkZWrEcPZbv7q6+ULVHaReHxsXXYIQ3DuNiDmHcsCOlZs8DkaarAefJ2rK/4F/7s+SXctxRCqUV+WP5+QQaqbKhM48Z47uAAu8hI+K9dq7YSEZGhnMVIWo0GoX/9pbYQERkXayroSW9NBUEMLdtUpoxyfUA674uIsgfWVEie94ABCF28mHOBiSjVjBF7TIk4D2N01X8vUQJ5Hz5E2Vmz0IQjFojoDVhTIYuJgmKxZcsiXH4D8P7lF7WViIgM1WHRIsTIHepHd+8iODhYbSUiIkOVd3NDjLw9unUr69QQkdExqZAB6m/YgJFyR3g2h5kREaXL+a++gkd0NLy8vNQWIiIyVIuffsLk0qXxtY8PbgUEqK1ERMbBpEIGcHJygrOzM/z8/ODr66u2EhGRodzd3ZXhv55cY52IKF3c3NyU7aRJk5QtEZGxsKaCHmPUVNDZvWABTg0ejLwODvj86VMxKU7dQ0SUGGsqpOyXDz+Ew969KNS/PzosXMh4SkSvZczYYwrEeRirqy6mkU0uVgyVo6PR8dYtZcouEVFyWFPBRDQfNAj2OXMqy0uycjkRUdp1mjQJ1vI2aNkybQMRERnMwcEB1evXh7UkYWufPmorEVH6MamQgYqoAfvIhAnKlrIvKWgLNk6ti7qaGqi75T5e+c5BOoGNve2gqTsUvf48heuv/VIiHlHXZmPmqCao+Pk2XFNbEwk7hFVLLiDoTV9sRB7AtikdMLTiaEx/FCs/hkBcXboVvmFx6gFEpkG3vGSu2Fjs/PZbFhkjIkqjdsuWIcbKCrH79ikrlhERGQOTChlIVC6PypkTuW/cwK0DB9RWyo40RdqjU582qK45j1NLd8I3Rv9DUTwijs3EzBWRQLWP8E2POij/2lGbVshVYQh6vB+B689jEC2apAe4tPoLjD8ZIt+IwdPDHug/bCU2PHtDciB3Y7TtWwsR18IRGSs/nmcbsfBzD0w69J96AJHpqDFxorK9MX++siUiIsPpVikToxV2iqUlmaQlIiNgUiGD6UYr7FSL41A2Z2uL0lvWY96p0ITRCtI1HF5zAGHVxQDvNIg7iG39TuFabA75hjUKfrwLkZFT8XlBcdsABYdhRuQp+LQoqjYQmQ6xrroYrSCmlO1n0UYiojRrsXSpsg3lKmVEZCRMKmQw5+++U4aZidEKHGaW+TSaZSledAn65PbpX1I6xhDnP5+GMW32YuP8PTin1j6R7njhix1fY1x3B+V23viDWD+wEhrmaowuR8Mhha7EzA6l8K7VEHjcF6tM64tD+M0TuBn3BBd2bsLSqe3R79PS2mMfhOHq8g/QsX5u5PpxHXZNew+NcxVH0SELsPxelPrzOiHw/70hPiyTF9XW3dE2hR3CnnkD0e17Lyy+KpIgMXi29zN0b2YPq47jMXNYcViVnYF1SR8SUQYpN2SIsj33ww/KloiIDCemlEWWK6dMKfMeOFBtJSJKOyYVMpgYZpbj44+Vue8r583jMLPsLt/76PSlC8ov24j/XQmXGx7gxLK/UHxOS1RUX43hVo3Qed5kuELNOuTviVG/90f1ZP90IhAUFIacGhvYl3gH+T5ZiP/N6asemxsVeq/EmFZ5EO1zESc7/ov9j9dgkf0P6PfFOhxMNDvCHk7D5mJY/RyARkLM/TkYXXcTDn44A4u6+WN3na/x7dVo5KvWD32aFwIuxSBm3AkcbF8SRViInzJJi6lTEZQnD/xFAVx/f7WViIgM1cLLC+IrhNXbt2sbiIjSgUmFTNBh9WrMtbfH9/Pn45ncGabMI0l9UrzoVpxKbp/+JaVjDJMTBV2G4vN667B8w1k8f+qNZauH4zvn4up+Q+VD2frN8I5VPpSsURef1iyiVMlPYI2ctlawadkGIyraQ5PPGW0GdUHbrYfwb+Drhhg8xYmFkzG3fzeMqeiAvFW6o93Hq7DxeBByFG2MWhUKAO/VR9uSb6PBrO5wyan+GFEmKDx3LhbJL1xPToEgIkozMVphj7Mz1j98CC8vL7WViChtmFTIBGIJHzc3NxQKCcGGcePUVsquJJsW6DzSCZGT/sD3k5fj0uy2cLZJOh0hA1nbIq5gZdR563XZgBA8uB6KGN8V6Nm/P7p0/R3b6/2Gb+oVBgclUFYTsbR06dI4v2wZ7pw9q7YSEZGhPDw8oNFocJ5JWiJKJyYVMom7uztEOkGzYIG2gbKteORGibajMa3eGvx6pAuGNC7ymhdiMB6HiGRDGB4c9cUxbeNrxOJFzOtXe4h/EoonymyKp7j61x48WtwRn9i+LkVQAKWrFQLyvwf3eYuxbt1yrBjdEi2K5Vb3E2WtWe3a4Ut5u71jR04pIyJKIxcXF/xStChqnDnDArhElC5MKmQSR0dHxJYrpyzh4z1ggNpK2YUUtAUbl/2FW/s2Y+yuGwix64Duwxug8rAO+NTuBR6f8MSW/aHAhX8xfdUpXM/xIVr8HI/bLVvgnaZd0HlfTpTBJexa64tTp5bA2+cOcGkfPHffQGSOcqjS6yq2NmmGGrM2YNvaXfKR4lg/HI60Vf79mJ97ouqHnVCtwQT8Ut0bvu3fQY7Iw/B9eew2bNo0H34XI3Hf9zBOu/wPfxYdj4/yN0T55q6oO3gNdoRGI+qa18t/e9a6U7jBz3OUBZqOHIkYjYYFcImI0qneN98o23OTJjFJS0RpppFk6vVsz8rKCvHxanG8DHDrwAHsa9oUUTlyYHAMS+ZTZniME9OqobHVdgSPqYtcaiuZFhF74uLilGGolkKci4inGXVOXi4u0Pj5QXJ2hpuvr9pKRNldRseezCbOI6O76v+ztlZWgqi1ejWcunVTW4koOzP0czFHKmSiREv4iNEKzOcQEaVJu2XLlNEKsfv2cbQCEVE6FOmjLTp9ZMIEZUtEZCgmFTJZtWHDlG3gqlXKlihjxSD2RTyk6FhEqy1ElkAs1yvVqqVMKduqdoiJiMhwHRYtQlTOnMqUMjGqlojIUEwqZLIm7u547uAAu8hIFsWhDBaFx8fWYYf0BcbFHsT8Y0HIuMk9RJmv+W+/ibHBymgFIiJKO91ohZ1ubsqWiMgQrKmgJ6NrKugcWrQI8wcOxB1nZ/hyLjBRtseaCmk3q0kT7D5wAJ2XLlWWmySi7C2zYk9mEeeRGV11MY1sYpUqOBwZiQ23bikFxoko+2JNBTPQcMAAnK1VC35+fkwqEBGlQ4cVK7Bd3or11pkjJyJKGzGlrNCYMTgpX/fy8mI8JSKDmGdSIewQ9swbiK4j58DzYgheG/Zi/LCmW2FUW3/39cdkEXd3d7TWaHBqyBC1hYgos8Ug/OoSLJjwGXpN+xu+YXFqe1ISYq6NQ5/cg+DxINak4qn4Nq1Pnz5oevs2tgwfrrYSEWUyKRDXd06AR9fR+ML7EoJeGyif4cbKerD7bBMuqC2mQvRNm+bLh/Bp0/CMBXCJyABml1SQQldh8nsbcbD5DCwa+hjXmn6Nb69FqHv1ReOpz1RMWmuv3jYtYphuu5w5UejKFfivXau2EhFllhiEHumHurPtUe3r3+BRcho6DV6Pg8lV9JSuYt//FmJ5lGm+ZQxq3BgfyttH8+ZpG4iIMtVtHP+hLQaF9MLIRa3ReHtLNF91Fcn1TvF0FRb+eBKROU1vJICDgwP61qmDGi9eYCunkxGRAcwsqRCFwH9mYYZbN4ys4IB8FQag62BvLNx1S+4eJxGxDb//UhW9Oz9WG0yPrijOITFagcPMiCgzSWex66cDqNn7IzS0L4hyHdzw+YZVWHr5uXqATjwiTnlies4O+ExtMTViSpkogPtyuV4iokwk3V+K2TM7Y2j7isifzwVtP6uGy7/twb5Y9YCXHuKU507k61FJvW16uFwvEaWFmSUVHuHa6XsoVbYo8iq3i8Cxagk8PXcLAcptnVDcXrse937pg0o51CYT1GHhQkTkzo08wcFcCYKIMleEP87s+AhVS9lpb9tVR7VW+3D61jPtbZ2Yw9jwXQ3M6FccJhxO0WrbNmUliCC5Q8yOMBFlnnhEXDuOde3Lo6qtKA5pBbuytdDx2CX4P9HPKkiICfgfJuT/Dt2q2EEj/2eKRG2FnE2bKsv1rvtQjAEjInozM0sqPMF/tyP05vNawdraGlJkdOI1+J+sxLCN/fBj9dfND9YSFXX1L1lRlKb6Tz8p24tjxihbIqJMEXIXd2L03gI01rCxkxAVrV/pNxpP9/yGte6dUCPv698uksZScclsZRo3RmS5cspoha1iFBhHfxFRpohBaNAjJAqnOW1hK0UjKlZK6LNKV+HzRTja9K0JNZWbLFFxPStjqaCMVpAfR+4bN3DrwAG1lYjo9cwsqZA8K4c86sgFIQjn5vuh1twmKPyGsxNJBP1LVgTvJu7uHLZLRCZBirWGvZ2NeksWuRNL5rTHpA+KpPhmkTSWiktW6LJ7N4ftEpFJiLfKA3tbjToeIR5R5+Zhdpch6Fco5c6pWMItq2OpshJEv37K9X/atmWSlojeyMySCsVQvJItgoJC1RoKMYh6HoUCFUuihHJb9nwntqxej5/K2MFK8y46rQnFxS7vIMeQbbimHmJqdMN2j2/YgODgYLWViCgDFSyPCjb3ce+JOs5Leo6w4xVQtVQ+7W2llsJSLPunB+pZW0Hz9iQsx/8w6e0aqLv5nnqMadEN2xUd4CVqh5iIKGPZoMDbpWBz+RHuqQNkpchQ3CtQFlUdcmob8ACnN63CP30qILfGBiW6noK0vBOq5/sK04JSHlWbVcQU3aic8uOX+6Vc/pyI3sTMkgqFUaleZYQcOI+zImkq3cTZv+PQqmFpWMecx/7ZB3DBpicmnNdleU9iY7f8qLruDuLmt0UF7Z2YHDFs92anTpgaEgJPT88sy0wTUTaSqy7q9TuM/WcDoUx4CDoIv+dd0a7sE20sjdHArtEmnFNiqXy5PxG9MRgT75/DCdeSyl2YIjFs9/f8+fG1jw8CAhJX2yEiMj4NclVuiiGnTsD3XjQkvMDjc8dwfnxDOEtq3zTmbTTwCEK8Ek+j8GBtHWh6b8T5sDkYW8R0q9XUXLECw+Stx6RJ7JsSUYrMLKlgjYIfz8H2sj+ha9/x+M5tIGa0WI2ZTnkRd2Mepoz6DX/ciFKOlIK2YuOCmdhxPhL3dqzHhJ03EKLsMU19Z8yAvb09tsyaxWG7RJQJKuGDCZPQZVJXNBk1Gv0+uYkCe9zQ6t7PmDxSG0u1XcgoPD42CyuW/YULOIdty9ZjydVwZY8pEqMVhs+erUxnm9Ktm9pKRJSBCg3AN3+FYteHg/DlmNZovWoAVgyoCesb8xP1TSFdw8k/v8fa7QHAhX8xbbEPDkea7of1BnIMdXZ2hp+fHzb+8YfaSkT0Ko3E1ONLojiOmMuWVea7uyOn3BmOLVcOQ65fV1uJyNKJ2BMXF5dlRbkygjgXEU+z6pzGFyiAisHBKDtrllK7hoiyh6yOPcYmziMru+r+/v7YVacO7HPkwOCYVxZwJyILZejnYjMbqWDZuowYId49WG2XiCidWk6cqGzPTZqk1FggIiLDOTk5Ib+6so6Xi4vaSkSUGJMKJuSVartERJQmupV18gQHw3vgQLWViIgM1WLpUuVLL66sQ0Svw6SCiemwaBGirK2VjvB+T0+1lYiIDFVDHa0QtGyZsiUiIsOJguKSszOsJQkbXV05+ouIXsGkggmq+vPPypbDdomI0k6MVojksF0ionRr5+WFGI0GNv7+nKJLRK9gUsEEvTJsl4kFIqI0aSF3hHXDdoPlmEpERIYTU3TztG+vXN/Zt6+yJSLSYVLBRIlhuyflreeuXeqybkREZCgxbDe+RQt4SxI8PDyytIo6EZE56+7tjVv58mHRjRvw9fVVW4mImFQwWWK0QmifPth39y4miWkQRESUJh1Wr8ZBe3vMnj0bAQEBaisRERnKcc4cnNJolCQtEZEOkwomTATsunLg1kydymq7RERp5ODgoMTTT+Xrf3fooG0kIiKDubm5oUejRqjp54ed48Zxii4RKTI2qRBzA35+jxCl3iTDODo6YpizMxyjo7XVdomIKE3c3d3RPGdO5DtzhivrEBGlw+BOnfCuvA345RdtAxFlexmYVIjB01398EG3efjzObOYaaVU27WyUqrt+q9dq7YSEZGhHEePVrbnv/1W2RIRkeHEFN3wYsW0K+s0a6a2ElF2ZsSkQjyiri7FDz/swuFICVLkI4TX9sSejUPxWR6NegwZSlTbLfXNN8r1w6LaLoeZERGlSYupUxFevDjsIiO1S0wynhIRpUn3I0eUJSY1fn780ouIjJlUuIujf3jifJNqqC1twfxPK8Lx7f748lwgQtlvS5cWP/2kZISVjjAzwkREadb98GF2hImI0kl/iUnlSy8iytaMmFR4gkf7u6Fz4xKIO7YAw6+Ox7LwfVj9ZCJm3Ynmsojp1Hr9enaEiYjSKVFHuF8/ZUtERIYTS0w+L1CAo7+IyJhJhTKo8ulpnLp6CUd9z8CmtwtaRPkjMPQubgRGq8dQWom11kVH+JF8fTqXmCQiSjOlI+zggEtyR9iTRRuJiNKs1datiLSywt7jx3GLS/YSZVtGTCoUQPV+rVF0sjM+OfYlfu5XGMfGtsBHv7+HqiVt1WMoPURH+B8XF6y5dIkdYSKidGh9+jRWqEtNBrAjTESUJuJLr6iZM7EiIgJ9OQ2CKNvSSDL1erZnZWWF+Ph49ZZpEp1fJycnDIiKwrB//0WZJk3UPURkrkTsiYuLg0ZjOUVtxbmIeGrK5ySSsytHjECn0qUx7tYt8aDVPURkrswh9hhCnIc5dNVdXFyQx88PPbt3R/dVq9RWIjJXhn4uztikQswN+B3Ki/ediyKX2mTKzCGpIKzu0QPRq1crw3c/f/ZMbSUic8WkQtaZJcfRgiEhsHF1VUaDEZF5M5fYk1riPMwhqXBh/36ccHZGjHz9w337lBEMRGS+DP1cbMTpD0nF4Omufvig2zz8+ZyDIYxJZIAjcudGnuBgrO7QQW0lIiJDNfvf/5Tt8y1bcOvAAeU6EREZplqTJpCcnWEtSfinbVsWbSTKZoyYVIhH1NWl+OGHXTgcKUGKfITw2p7Ys3EoPsvDIaXG1mDpUpG+VjrCT2/fVluJiMgQTl27vuwIb+/cWW0lIiJDufn4vPzSa+e336qtRJQdGDGpcBdH//DE+SbVUFvagvmfVoTj2/3x5blAhDJZaXT6HeHV9eszI0xElEZuvr6IsLND3sBA7Bw3jvGUiCiNlC+9ZHenT+eXXkTZiBGTCk/waH83dG5cAnHHFmD41fFYFr4Pq59MxKw70WAXzfh0GWGlI8yMMBFRmjVYskTZsiNMRJR24kuvaCenhC+9iChbMGJSoQyqfHoap65ewlHfM7Dp7YIWUf4IDL2LG4HR6jFkbNV/+kkpivPnnDkIDg7WNhIRkUF0HeFwuSM8edAgsyiMRkRkijpt3owoa2sEBAZis3ydiCyfEZMKBVC9X2sUneyMT459iZ/7FcaxsS3w0e/voWpJW/UYMrYm7u44P3y4sj6wm5ub2kpERIbq7OMDz9KlMevff9kRJiJKo4JyHK20axd+ka+7y/3UZ1ypjMjiZeySkmbGXJaUTEqMUKhduzaqBgRg+I8/4uMJE9Q9RGQOuKSk6fD19cUHH3yAYba2mHT5stI5JiLzYa6x53XEeZhrV10kFLbNno2v6tXD8GPH1FYiMgeGfi5mUkGPuSYVhMNr1uBq9+6Ikd98PvTzQ5kmTdQ9RGTqmFQwLfNatIDdrl147uCAz/kNG5FZMefYkxxxHubaVRdfev1ZtCjyRkcjf//+6LBokbqHiEydoZ+LjTj9gbJSg27dXq4GsUPuELPQGBFR2gzduVNZDUIsi+bl4sLVIIiI0sDBwQGNli8XmRE8WbIE/mvXqnuIyNKkL6kQtxsL366PLkdEgcBYhB2fjPEnEn+rIz0PRRj7Y5lCLIsWXqwY7CIjse7DD9VWIiIyVMudO5WRXxo/P+z39FRbiYjIEKIIrhilIL70OtqzJ54GBKh7iMiSpC+pYFUGVTvnQq7YJ7h58zxunNiAdSev48KFC8rl1q2TOD5jIGY+jOWSkpmk+5EjSsXd3DduwHvAAH7DRkSUBmUaN0apb75Rrl8ZNYqjv4iI0qjDwoWILFdO/rwQi9UNGqitRGRJ0l9TIeYM/H7ujoETLuGa2pTYYEy8PxcTS+SEqc9uM+eaCvrE8LIz3bop37K9v20banzyibqHiEwRayqYroW1a8PG3x8RuXNjaESE2kpEpspSYo+OOA9LKH8mErNrq1RRRtPauLqiu7e3uoeITFHm11SwrgXn8RdwMeQG7h8fBdd5J3Hj9Fas9T2DszdP4OhEFrnKbGKomQjYAfKb0LixY5VCOUREZLiBp08jpHBhHJY7wqKSOWsbExEZTqyk02DpUvxnbY3/bd4Mf39/dQ8RWQLjrv4Qcwa+v7phzGR/HA8vDvvu32DGpD7oVt4B+cwgYWwpIxV0XF1dsWXLFrRv355rrhOZMI5UMG0iMevo6IiQkBBs2rQJHTp0UPcQkamxpNgjiPOwpGSml5cX+vbtC3t7e9y6dQsFChRQ9xCRKcn8kQovReKB90C09XdD138u4ORNX5wY8RRnP1uPE7H8ZicriMDdpkYNvLtlC1aLTjC/YSMiMpioYC4Ss87y9budO+PWgQPaHUREZBA3NzcMHz4cXUJCsLpsWbWViMydEUcqXMbfTWbjqvccjHjLWm17gYcre2Fy3eWYWzkXaypkgXPbt+NomzZK1d1aq1fDqVs3dQ8RmQqOVDAPYnlJsRqEqK/Q9dIlZTgvEZkWS4s94jwsaaSCzjw7O6W+glgOXaxeRkSmJQtHKshyFEfhPDnVG0I4ngbdxuOQWPU2ZbYarVujUL9+yvWjvXqxgjkRURopy/YWL56wbC9HfxERpUnLXbsQI39o4bK9RJbBiEmFsmgw7ix+m78XPtfv4O71PTiwcgDGTmmJFlXsTH6UgiXrsGhRwlI+9eurrUREZKjuhw8jKmdO7bK9AweqrUREZIhEy/aOHImnAQHKdSIyT0ZMKtig4MezsTjfBHxTuzTeqdAcTWcXR7G/h6FvfuMOiCDDddmzBxF2dsgbGKgM4eU3bEREhhNTHt5fuVK5/mTJEmUJXyIiMlyLn35CtJOTMkV3bdWq7JsSmTHjrv6gkiLv4XJAbrxduRDym9EQBUusqaBPFBfb07SpErzz//wzOnz9tbqHiLISayqYH1H8NnrzZjywtsbQoCClmCMRZT1Liz3iPCyxpoK+PwoUQJ7gYDxt1AgjWAiXyCRkbU0FlSZ3SVSpYl4JhexADDWrumABlsrXO44ZA18WxiEiSpPu3t4Ifu89LIqJgYuLC549e6buISIiQ3Tz98e1t9/GyIMHldUhiMj8cF5CNtNwwAC4LV2qZL5ntG3LobtERGk0/OhRNOnTB2fOnMGkOnVYCJeIKA3EtLIBBw4oI772L1uGzV99xakQRGbGiNMf4hFxeCxGacZhXv0C2ibpPP79LQ61vqyFImYwasHSpz/o2/jHH3g2bJgYV4e6q1ZxqUmiLMTpD+YrODgYv1SrhgoPHigFcYdcv67uIaKsYGmxR5yHpU9/0PH398eeevXwVmws8vfvrxQaJ6KskQXTHyTEBPrj6K27ePLkMvb5X8eFCxeUy/37Z3F5ZneM8n8uH0WmpNPnnyNW7gCL+gqH+/Vj1V0iojQQ36yNPHRIKYQrVoSYX748v2EjIkoDJycnfKgWwg1dvJhLTRKZESOMVIjG013t0KjFTlxWWxKpMAJTfaZj7NvWaoPpyk4jFXREB1h0hCNy50bXS5eUIWhElLk4UsH8iakPm8qUURK1krMz3FizhihLWFrsEeeRXUYq6HgPGKAkFWLkc6+7ejWcunZV9xBRZjH0c7Fxpj9IoXhy8y5ehK/GoB0tMbVjUVhFR8s7csE2/1soWtIe+cwgtmfHpILwR8GCyPPsGZ47OOBzFhsjynRMKlgGUaPmRPfu2hV2OHSXKEtYWuwR53HrVhgcHfOqLdmD98CBCJVjqJJY4DRdokxn6Odi4xRq1ORHoXLVUKLWZGz7yhF2SkIBsLMLxtPFgzDzYSynP5iwbqdPK0N3xXI+c52cOHSXiCgNxLdp4lu1GPmNWHzLtvmHH9Q9RERp5+S0DR4e/uqt7KHDwoVKnRqRpN03cKBSv4aITJcRV3+IQdjZ4ehf6x2Ur14d1eVL2bJ18f4ktWgjmSwx5aHrxYsIKlgQs86cgfuIEeoeIiIyhEgsFOrXDyfl626//orTp09rdxARpcOkSWeU5IKvb6DaYvlE4dvnVapgU3i4snQvEwtEpsuISYUbOPj7epz4whcHbwXg/Pnz2sv1KRhZPCeyzwBY8yQSCx/t2YMn9vaYPXs2vH/5Rd1DRESGEN+w1Vm6FCEhIegnd4TPbd+u7iEiMpy/f1u4upbCmTNP0azZTri5HZA/YGtHBVu6zy9ehEaOo2Lp3q9btsx29SWIzIURl5S8jL8bjsPx9evgoVeUUXoeinC7/MatqRB2CHtWLsWCazXQYEAfDK9qb5SkRXatqaBPLOezvkEDVIyK0s4JljvHyEZzoomyQtbVVIhB+NUVWLV8D/bn7YH+w1rCJV8OdV/6WNq85rTw8PCAw6RJyCvmBLPYGFGmyLLYIwXi+q65WLkkCv9164/vXasYZTl1cR66rvrmzXfg7n4ct2+Hw97eBsHB3ZV2SydGKIyrWxfv3rihrFzGpXuJMl7W1FRQlEOTXwti75pjOHnrlrKk5K1bJ3F8xkCj1lSQQldh8nsbcbD5DCwa+hjXmn6Nb69FqHsFCbH3FsCzRyHklwOxJl8T1F18Fo+Y2EwVsZxPU3X6g5gTLArlEJElikHokX6oO9se1b7+DR4lp6HT4PU4mOjLrzDc39MHbk7WSsfWqt5XGHk2GNk79Zp6IqmQq3x5ZU6wKODov2aNuoeILMttHP+hLQaF9MLIRa3ReHtLNF91Ffq9U8Scge/02ngvn9w31ZSAw4AV2BEWp+5MHVfXd5RRC+7uVeDmVk5ttXxi6d4pe/YgJnful0v3ihV3iMh0GDGp8AD+27xxYHRj1C1bNoNqKkQh8J9ZmOHWDSMrOCBfhQHoOtgbC3fdkrvHOtF4fGAt1n9yALfjH+L6YhtoBs6G5+0X6n56kxY//YRacudXVNxVEgsDBqh7iMhiSGex66cDqNn7IzS0L4hyHdzw+YZVWHr5uXqAcA0HxubE2+ufIC7UBxuarIHn1B04xaxCqg25du1lsbETPXooK0QQkWWR7i/F7JmdMbR9ReTP54K2n1XD5d/2YF+seoDweAvGHBqDWQ+iEXZtKAYeGozhW28bnKR1cLDBrFnvwdPzPeW2mAZRoMBqpZCjJU+JUOp/XbqkFBYXiYW1VargaUCAupeIspoRkwrFUKFGHbTYdvVlPYWbN0/g6ERjLlH4CNdO30OpskWhXVinCByrlsDTc7eQEFZi8CK+B6Z0rIwCmmIo13EIOtvcxr2nCWkHerOkVcxFVpirQhBZkAh/nNnxEaqWstPetquOaq324fQtvZgt93Zz9xqFMRXyw0ruKLfr6gKbU4G4z6SCQcRQ3Wgnp4QRC0wsEFmQeERcO4517cujqq2Y72AFu7K10PHYJfg/ScgqxEeXRc+pbdAonzXylh+Crr3y4+HjMOjnHdJCV7hRV8hx6VLLnRqgKywekTs37CIjsbZqVY5YIDIRRkwq2KJYuzVY0bI8qlWrplzKlHkX9b5eiFFGK9T4BP/djtCbSmEFa2trSJHRSMjN5oVjj/5wya39F6X7p7Cv4Cf4tFIe5bY+MZxX/8LiL4kpiYVVq5QRCyIrPK1VK3UPEZm9kLu4E6P3FqCxho2dhKhovYyBVR20+6oq7JUbz/Hg6k0UHNQETXIqDS8ljaXiQokNPH0a+QcMUBILR3r0gK+Pj7qHiMxbDEKDHiFROM1pC1spGlGx0ss+q5VjT3xVNZ/2hnQdV5YXQPumZWCjbXlJzGM2JJaKKRG3bnVCnz7llFoL/fodhIvLDotdJeLliAU1sbC4Th2l5gIRZS0jJhXkIGqXC3En5+K3ccuxISgGiDyDf+9KyJvB/UsrhzzqyIUkYg5j7WdX4LijL9rmefVBiCSC/oUd4VfpRixctbXFuJ2i4rCbuoeILI0Uaw17u6RdXEFCbMBMjJozGEsGOaGg2qqTNJaKC71KFL4VBXDXxMej2QcfYOnSpeoeIrI08VZ5YG+rSeZLtVDcWeOB2V+twsza+dW2BKIwmqGxVEyJ8PJqjNOn28LFpSj8/B4pq0R4e99Rj7AsusRCmJMT5j99qiw3+eyZMUdGE5GhjJhUiMazA33RvdFSTF8xBX+cCYGUKwbPhnhhW7SxOpjFULySLYKCQtUaCjGIeh6FAhVLooRyW0+MP3YOnYpDfyzFbzUdjJs9yWZEYqHzkSNKEcf9y5ZhrryV3+nUvURklgqWRwWb+7j3RB3nJT1H2PEKqFpK/SbtJQkx9+di9IAS6L+3H1oaaXWI7KrDokVwW7pUSWIv69ePNWuIzJ4NCrxdCjaXH+GeWndRigzFvQJlUdUhybAuhOHBjqHo++xnbBtS2yirQ+hzcioIH5+W8PZuhvbtSymjGISAgHCLq7cgEgtfnD6NJn36KMtNzpZvc2oZUdYx4mftmzg0riA+vnsYARvfQ8izCEBTGmWbrsTWK5F6UxbSozAq1auMkAPncVbcoXQTZ/+OQ6uGpWEdcx77Zx/AhRh5h5JQ+B5/f7Ucs2saZ7nJ7E4kFHx8fDCkYEHkk4P37yVKcB4bkTnLVRf1+h3G/rOB2kJhQQfh97wr2pV9khBLdQmF3rnRclNfJhSMRIz4WrJkCXpq9IrhMlFLZKY0yFW5KYacOgHfe9Fy1HyBx+eO4fz4hnCW9PqmakKh180xWD20FopmYOdUJBM2b/4AugG4bm4H4Oi4EV5elldvwcvLC782aoQyYWGsWUOUhYyYVMgLh8KxsLXWu8uY0zi9XC0CZhTWKPjxHGwv+xO69h2P79wGYkaL1ZjplBdxN+Zhyqjf8Me1W/D7vg06L96G32oVgJUcUcU3QjmG7wA/AqePWNKn/6lTyjy2vIGB2sq7TCwQmalK+GDCJHSZ1BVNRo1Gv09uosAeN7S69zMmj5Rj6Y0oxAf9D5O7j8KcvQPRyj6nEks1Gic0/Msy5+pmJpFYUIrh6hILXL6XyHwVGoBv/grFrg8H4csxrdF61QCsGFAT1jfma/umN8IRtLcXenX5E3uHOaGolVozoeBozHpi2LKSaSFGMISERKNv34NKcsHSpkWMOHAAkVy+lyhLaSSjTX4Vc25/xOAWN1CsqR/mhbSFW8QKzLaahd0b3dDM2vTHC4jiOGIuG6VMJBJExV27iAglwSAq8RZ0dFT3EpGhROyJi4tTOpmWQpyLiKeWdE4ZQXyrJjrBojMslp4UK0UQUdpZWuwR52GMrrqYAiFGLIh6C4Kzc1F4eDjBxaWYctsSLKxdGzb+/kqyttKvv6KJu7u6h4gMZejnYiOOVNAgp+M4eG6qjnxxb6H4hYs4Uvl3rFnYwywSCpR6uiV9njs4KJV3N5Uty+FmRERpoL98r1hl548CBbj2OhEZnaNjXvj6toSPT4uXxRzFdAhLmnmlrLLTv7+SpL05YgRW9+jBqWVEmcSISYUXCNrtjt7zgPzfH8SFC3tw6Jc6sJ97CNf4erY4IrHw+bNnytrrImC7d+umzGsjIiLDiMTCh35+ysiv8OBg1HFxgb+/v7qXiMh4xMgEUcxRJBfESAUxoEMUcXR13WsRy1CKYrjFxo1TRiv8s3o13Pr25ZKTRJnAiEmFWzi54l/Et+2MziV1S5K9hQIYD88rUUYq1EimRmSFC/z+O/zt7dFXDtxTW7ZU9xARUWqVadxYWSLtSffuuH37trJE2uaxY/ktGxFlCJFcEKMXBDFiYcuWu8oylC4uO+Dv/1RpN1ctfvoJ7//1F87WqoVly5Zh5Pvv49aBA+peIsoIRi3UmN+2LGpXfxuFc+qmO/yHJw8f4XFIrHqbLFGnzz+Hr68vOhcvjhI7d2KenR0LOBIRGUiMAJu+ahVmzZqFgSEhCJk+HV7Nmql7iYgyhrt7VSxd2khJMohpEbVrbzP7kQs1WrdW+qaurq6oefUq9jRtiv1ybCWijGHEQo3xiDw7Am3WfIwx/WugavRZXNn/M8aObIahDyaif34j5i8yCAs1po9IJKypXRt5nj1Thp3VlTvHTt26qXuJ6HVYqJGS2u/piSsjRypzg8OLFUP3I0eUpAMRpczSYo84D6N11VNBjFrw8DiD27fDldve3s2UJSrNmZeLCzR+fsp1G1dXdPf2Vq4T0esZ+rnYiEmFcASd94bf8omYsDYAV+9I0NT9Eu6Lf8DMmg4wh9DOpIJxzC9fXik4JoiCOWJ+GxG9HpMKlBwxXHdHixYvV9ppsGQJE7VEb2BpsUecR2YmFXREckFcRHFHQUyJEBc3t/LKbXPjPWAAnsgxVLfSTpc9e5ioJUpBFiYVLmPHsPpwK7UDl74qiae3ciB/pWJwCLqCu4UroSyXlMxWRPAWa68LyjJp166Jd0blNhElxqQCvY4YAbbuww+VRK0YAVbqm2/QYupUdS8RJWVpsUecR1YkFZLq2/cAvLxuoHTpvJg4sZZ82/ySC2KlsqO9eiFXTIySqP3k8GG8U6uWupeI9Bn6udiIcxLKoWHvTigWeBdHH0qIwlOE3z2F0wsmYvnjOBZqzGbE6IRaa9YoneB7cmfYqXZtnD59Wt1LRESpIb5JG3L9ujJkV3zD9ue0aXB3d8ezZ8/UI4iIMl6fPuXlSzllWkS/fgfh4LAaHh7+ysoR5kKstNP52jVlSXTryEi0b9oUmzdvVvcSUXoYcaTCbewbXxsuPz1LkkAYjIn352JiiZwmPwWCIxWMT3zL9uVnn2HVwYNwyp8fYz75BN1XrVL3EpHAkQqUGofXrEGrIUMQEhKiFMb9cswYNHF3V/cSkWBpsUechymMVNAJCAjHpEn+yqgFnWfPusPBQbfym3mYL8fOz2fPVj6z/FS7NgZv2oSCjo7anURk8OdiIyYVXuDhmk/QL+88/FJGm7W0s4vC42U/Y/ugP5lUyOY8PT3xeNw4VIyKUjLErbZuRZkmTdS9RNkbkwqUWmK9dTc3N3y8ZQvyyLclZ2e4+fiIJ1x7AFE2Z2mxR5yHKSUVdERyQdRcEHUWNm/+QGkTq0WIdnOpu+Dv7495H3+Mho8fc3oZURJZmFSQOzcR/+GJTSG89XJJSbnteSjC7fIjnxnEdiYVMpZSdEwO3naRkUrwztO+PSvwEsmYVCBD7fz2W9ydNk2ZEqEUcVy6VBnaS5TdWVrsEedhikmF5JQps1FJKoi6C25u5ZSlKk19BIMYUbvR1RU2/v7K7WgnJ3SS+6YctUDZXZYmFYBwPDq6FOs226P4iO74NN9F7LrtiI8q23P1B3pJf2kfMWqh2+nTDN6UrTGpQGkhOsOr69dH3kDtWvIctUDEpEJWEiMVxOiFZcsSpkaIOgwiueDkVFBtMU1iGd+LX3+NXLGxiMqZE1VnzOD0MsrWsjCpEI1nBz5DJ5cbuFrsOSouPYg9zQOwrtlB5N71FdrZmH5wZ1Ih84gKvIf79lVGLYTkyIF3NmyAq6urupcoe2FSgdJjdceOeL55szJq4VqJEhhw8CAcmailbMrSYo84D3NJKujopkaIuguisKO9vQ2Cg7ure02X/mo7QpDcTx04cyYcChRQbhNlJ4Z+Ljbi6g83cWhcQXx89zACNr6HkGcRciQsjbJNV2LrlUiu/kCJiGG6QyMilG/Wdsofpjp06KAkFW7u368eQUREqdF90yZ8uG8fnhQtitUPHsDJyQlenBdMRFnE0TEvPDycEBDQCUuXNoKnZz11j3ZpSlfXvdi8+Y7aYjp0q+0UGzcO52xtMWbpUrg0a6YUySWilBkxqZAXDoVjYWutd5cxp3F6uZ16g+hVbr6++NrHB6XlQG69ZQv2Ojsr0yOIiCj1yjRujJGBgfhy1izl9t1vv8X/rK2xX71NRJQVRNFG/cKNvr6PsGXLXXTo4ANHx41wdz+mjGwwJS1++gkT5Hjavn17hJ05gwvdu+P34sVxi198Eb2WcaY/SKF4cjkMVtaLMOqTmyje1A/zQtrCLWIFZlvNwu6NbmhmzekP9Hqiorl3t26I27VLGcIr5rM5jh7NKryULXD6AxlTQEAA/m7Q4GWthfBixdB6/Xol8UBk6Swt9ojzMLfpD2+SXO2FWrUK4vTptvL5qg0mYtfkybg1aZJSa0EUGc/ZtCnaLVumjGogsmSGfi5Of1IhZj82ft4RbouiENPaHZ93zoMi+zZgxVF72LfqhxFff4rORW3Vg00bkwpZT6wQsdPN7eV8NmX5yW3b2Bkmi8akAmUEpfDYmDHIFROj3BbTzdgZJktnabFHnIelJRV0goOjlWkQnp6X4OiYB97eH8jnC6VN7HN1fcdkVo8Qo2hj9+3jF1+UbWRyUiEeEQc7obhHDQwf9QGahc7H5O+bY8K5/mYxMiEpJhVMh+gMnx8/HnYREcrtu0OG4As5eDs4OCi3iSwJkwqUkVZ36IDnW7YoneEH1tYovmAB3Nzc1L1ElsXSYo84D0tNKryOmBYhCjwK7duXUqZPiARDVkv6xdflatXQdeVKpY4NkaXJ5KTCCzxc0xr9iq3DPy6F5NuhuDKnK+Z87I3fK+fSHmJGmFQwPd4DBmDvn39iblQU7O3t4TVyJFy//17dS2QZmFSgjKZUNW/eHGuuX4dY0NfZ2Rk/9eyJhnKMJbIklhZ7xHlkt6SCv/9TZXrE5s13XyYXxAoSrq6lMHGiE8qUyau0ZRXxxdfxadMw6tEj5fb0vn0xYOJEjgIji2Lo5+L0F2qUrJE/t25oki3yv2WN0Mg49XYswg6txLYwflCntOmwaBF+fPgQ7u7uKB8Sgv/koC2Kj4lkAxERpY5S1fzaNXiePq0kFCr6+eHawIGYX748i48RkUlxcioIT8/3lNUjfHxaoE+fckq7SDKIlSUEXV0GMU0iszWR+6SiMO7SpUuVL7wkebupTBllisTTgAD1KKLsxQgjFVri0/CJcLd/jHz5YvD8TCie1asE+yf/wcEhEv/N3I4rS1ZiYomcMPWcMUcqmLY7Z8/iL7kznCc4WLkt5rQV6dNHSTwQmTOOVKDMtvPbbxEwY4ZSfEwQ9WtqTJyodJaJzJmlxR5xHtltpMLriBEMIuEgiGUpxSoSgpgi4eJSTJkioUs6ZBZRaHxzhw6I9fNTppixmCNZCkM/F6c/qbCuId7udkoOeGrTKwZj4v25TCqQ0YhhZ+cmTUqUXCg6ahRcRcEcfoAhM8SkAmUVMeorSO786icXas+bhwbduim3icyNpcUecR5MKrwquSkSglhFwtu7WaZPkRBTzLb26fOymKMuueDq7Q2HAgXUo4jMh6Gfi9M//SGmNHruu4nz58+/crl16xgOfBOkHkhkHOKbtM+fPUOtNWsQWa6c0hneNH06HMuUUYaiERFR6oiRXoNjYpC/f38lQWsTHIye3bvDxcUFPj4+6lFERKZFf4rErVudMGtWPSWhcObMU/UIbeLBze1ApkyTEKMS3Hx90fHWLUhy/BSu+/kpfVMPDw9lRAORJUvnSAUJMQ+u4G7hSiib7GoPb9pvWjhSwTyJaryT5I7xsmXL0Fq+3U43LWLhQo5cILPAkQpkKjb/8APclyzB7du3MV6+XYLTIsjMWFrsEefBkQqpFxAQ/nIKhKfnRYwcefzlaGqRdBDFHsVUCXHJSGLkwsp58zBx/nwUDAnB1/L7fK4mTeA8eTKXSSezYOjn4nQmFSwLkwrmLSAgAFu6doXDsWPKbTH0TKpVC81/+40BnEwakwpkary8vPBi0CDkiolRbkfkzo1iPXrA+bvvOE+YTJqlxR5xHuyqp50o6Lh58x15+yjRKIaJE2spK0mIPxP9RISxiREK68eOhWbBAmVahCBG2Vb74gsma8mkMamQDkwqWAbdOsI5b958GcDDixVDnVmzOE+YTBKTCmSqRM2Fhxs3vqxho0vWfuTtLXfCHZU2IlNiabFHnAe76sYhpkBoEwyBcHMr/3K0gkazTFmy0sWl6MtRDLqCkMai1FyQ+6Yv5D6qroaNUhNs6FC4TJrEugtkcphUSAcmFSyLCOA73d0R+tdfSgD/TW77r3RpTBw8GO179OC3bWQymFQgU6efrH0qdxu+kdvE0pTj5Vj60aBB2oOITIClxR5xHuyqZxwxSsHd/ZgykiEkJKHugi7J4O39gfw7UBuNZOe4cbgxf76SrD0o315nbw9XV1dMHDCAI2vJZDCpkA5MKliuw2vWYLp82bJlC76Ub9eU3yFiy5ZF/cmT4cTRC5TFmFQgcyGStX7r12PE3LlK3YW5clvOnDmRv00btPD0ZLKWspylxR5xHuyqZw5R2FGMYtBeHsHJqQB8fFrKvwPAw8NfadcfyeDgYKP+ZNqIZO2ff/6JX1avhlNICPrKbWIFnnJDhqCFWNGMKAsxqZAOTCpYPlF3YYf4tk1d8kcQw89Eh7j+qFHMEFOWYFKBzJGvry8u9OiBvA8fqi1QppqV+OQT1l6gLGNpsUecB7vqWUNMl9AlDlxd92LLlrvKdR1R+FGMZnB3r5qumgyi7oLvtGl4NHPmy6kRYqqZ8uXXlClw6tpVaSPKTEwqpAOTCtmLmCv84O+/kTcwUG0BjpQrh/cnTFCGoTk4OKitRBmLSQUyZ+LbNj85br44ePBlhzhS/ps+0quXEkvFhSizWFrsEefBrrppEFMlxGgF7YiGhMKPp061Re3aBZX9ffsegLOzdiSDuBiabNjv6YkLc+cmqgt2xd4eEW5ucHd3Zy0byjRMKqQDkwrZk+gQH5k5E49378bw8HClTSxN2Vr9xo1LU1JGY1KBLIX/2rU4Pm0azl6+jLlRUUrbKFtbVKpSBfXGjuU3bpThLC32iPNgV9106aZECKIIZMeOPvLvS7mpELUZxDQKURhSXAzhPXAgHvz1F9YHBsJPvl1WvgzPmxeFmzfn6FrKcEwqpAOTCiSmR3h6eqLI4sV4W00wiCFoL4oW1Q7pnTABBZklJiNjUoEs0ebNm5VL4+XLE003s6peHZX79OFyapQhLC32iPNgV918iCkTutoMYuvv/wy3b4ejT59yWLq0sfz7BFxcdijH6kYyiK0uMZEcMT1CxFL/SZNQW+6n6oj6CwVcXJhgoAzBpEI6MKlA+sQ3bkfGj080BE24XK0aig4YoAzp5TA0MgYmFciSKcUdf/zxlelmImF7oHdvuTPtwilnZDSWFnvEebCrbt5EokFcdFMhRFLBz++Rcl1f6dJ54e3dTJlKoUtOJE026EbXBu/cCbvISLUVuJ83L4L691diqYipROnFpEI6MKlAr6Mb0ht75QoWy0H8pNzmLF+6q9+6cVgvpQeTCpRdiATD8fnzcWv9ejyXr49WazCMli9l+K0bGYGlxR5xHuyqWybdaAZRi0FsRaLh6dPuKFDARtn3wQc7lakUItng6JhHSTDoRjaIiy7B8MzXF/7BwVio3u/sHDlg4+iIMp07o96QISyaS2nCpEI6MKlAqSGmSIhhaI8WLULlCxfU1oRpEgXr10eVbt2YZKBUY1KBsiuxgoSIp28vXIgiERFqq3aahCR3hNkpJkNZWuwR58GuevYjkgyenheVhEPSUQ3OzkVfLnU5YsQxPHsWjWLFbBERcR/BFy+g6d7vEo2wFdMk7GrVQjlXV047o1RjUiEdmFQgQ+mG9T6SO8b60yTOy5eF9vbayufFiqFWmzb85o1ei0kFooRhveJbtzzBwWorsE6+3Jc7xJ82aIB6cueYSQZKiaXFHnEe7KqTbjqEuOjXYGjWbAfEShRJFc2lwYjSfsh/Z7UyTeIOPkUcIjAJl+HsXAo9HR1Rt1UrfgFGr8WkQjowqUDpJaZJXFqzBmfkDvH806cREhKCpXK76Nrovnkr6uKCMh99xEBOLzGpQPQqsbTajc2b4SnH0zNnzshdYqCNdhcicudGzkqV8E7LlkwyUCKWFnvEebCrTikRUyV0SQcxskE7neIZfHxaKPUZNv92CB2HX1OmUui8i2coimhU0txAuaJblVG2djU6wXlkFzg42KhHUXbGpEI6MKlAxnZh/36c/fXXV755E8R0iZVNmyoFdVpUroxKDRqwY5xNMalAlDJR/fz40qUIWL5cqW2jX6BMEEXKjn34oRJP35OvNxwwQN1D2Y2lxR5xHuyqU3qIhIOYSiGIBERQUCQuXQpVbn+keYTPpG+U6wcxGgtRXbmeL188SpTIhUZl86HUeyWVkREprVBBlodJhXRgUoEymvjm7Z6fH54eOYKQ8HCMV5etFEXKRBjXjWawr1EDJZ2dOfctm2BSgcgwuoKPDw8fRsSZM4mKlP0uX/LIFzGP2NrRURnNUNTJiaPDsglLiz3iPNhVp4wgkg1iVAOu/Itb//6L/dvy4ex/JXAyXkIwiqpHabnbH0Utp4tKXQbnkQWUUQ+6ApKCLuHg4eGkbMV9c8SDeWNSIR2YVKDMJoo++vv7I3DWLMSfPfvKaAbhXIECuN60KZzkTvGHcie5ZN26rM9gYZhUIEo/EUtF4cdcc+dCevDgldEMwlJnZ2UpYJdKlVAud24mbi2QpcUecR7sqlNmEiPDRDy9tmYNHm14BM3TGBSRLsEGN5X96zANEfLf5YEchREba6W06UhSH2Xr5XUdffseVK7b29vIfdgCynWxeoWr6zvKRRBTNkQCQtSJYBLCtDCpkA5MKpAp0I1mCA8IQIx8WScHdz+5vax8+U6+iG6SmDoRbW+vfAuXV76IUQ013Ny4zruZYlKByPjEaIYL3t5KXYbnV64gOjISI0NClH0D5Usj5Zp2hFjsW28hT6VKKN6gAfLXqoUG3bqpe8ncWFrsEefBrjplNVFI9+rffyeMDnvxAgvVxO1EvIvc6siGfA6HYFWoEO7n6ozDUdUhFciDk9ciERISrewXJk6s9XJEQ3KFJmvVEgkGa3h6vqckG3TTN0RCQlx0OB0jYzGpkA5MKpCpEhnj/44dw71Vq5RgniM8HLnU9d2FZ/JlhHyxt7fHV8WKoYS8L1fJksowNY5sMH1MKhBlHjGa4cGGDXh+8KCSuE06QuykfPlNvpQuXRpfRUWhYOXKsC1QQEneVuvQgbVvTJylxR5xHuyqkynSjWgI8PBQErdWISGvjBATxcrFF2N9K1bEu6GhCC76Gco1fAdvV4xXRoqJEQ26VS2E4OAYnDmjvS4KTYrEgagD0azZTqUtKbG8pq9vS+W6uC9xEfQTDmIEhBgZoUtIiCkf+skJSh6TCunApAKZE923cGJUQ5T8Ml4mB3cxnaKn3F5BPUaf+DbufrlyCG3ZUhnR0FC+nTtvXg7/NQFMKhBlLfEt3L0TJ5RRDffy58duufMrOsuz1ZENSYnVJ9a+957ccXWBo62tMpUiX/HirNtgAiwt9ojzYFedzIkYcRvx6JEyqmGz3N8UfdO3z5xBF3W/PjHy9lmJEjhYt64yzddJ7g8VkmOwfgJXjFTQJR7EdUG3yoUYySBGNAgeHv6YNOmMcj0pMTpi4kQn+fUkXlPL1NYEIjkh6BIU4r51CQodXaJCJCnEv2vpmFRIByYVyFLoB3SRPdZERcFG7hx7yy/37eoxuqUudURRM8GuVi0EyB1lEdyL5cyJonI7RzpkLEtNKrz6V6YVH9/ntW/s+nRzM62slsnXlavJSs1xxrwvQXdcSueQmmOE1B6Xmucttc+tMX8HGfH7zMzfkyDOIUeOlO9rqfNSZaTYsGBPtSV583IORHzePCkeZ8jjMuXfk5DScYbeV2ofW8rHucnnyqQCkanRT95G3buH+CdPlJG3d2NjMUU9Zrp80S8RKRK4kq2tMqUCbdogl9w3FXVxHOQ+7uuSuLokhI5uZIIuKeDmdkBp09EfHaGLMW8aHeHj01J+bWrva9myG+qexPUj3N2rvqwdIRIeSemSE7rHpf+49UdaZBUmFdKBSQXKDsTQXzFkLdjTEzEhIcrw36TTKdzU7Zfy5V3tVWWkQ1xe7XAxkXiIlYN6TvEtnby1uX4dlT/6iMOC04hJheQZ+oHEmB9ujPEhKDXHCKk9LjXPW2qfW1P/sJqZvydBnMObkgqpva8Fmn6wkeLlOOqltrzqj9xDlY7ymxIUpv57ElI6ztD7Su1jS/k4JhWIzI0YGSb6pg8XLMCLBw+UBK7mxYtE0ynWyRfxxZjol4r+qY7uSzFRZ8za3l75YkyMIrMNDESxkiXT9MVY0sSE/m2RoHBzK69cd3c/liSB8Ry3b2sTFrrpG0JKMUsXm0Ui44MPdiYbK/UTGSNGHMPp0wn/po5IUIhEhm5qh34iI+noCt3j0o34SG70BZMK6cCkAmV3YkrF5X//RXT58kryoWRAAKK3bFH2iZEO1nrhQjfvWNDPLOuKSApSrlzI0bUrAuWArxsiLHCYcGKWmlSwpI49kaHEt3KB9+7hSlSU3GkLQDEfH2WVHyFpHQddZ7m1fNEfIqyfzLWqWROBzZop1xuXKAHbiAjlOuvmJGZpsUecB7vqlN2JEbjWct/0yPXryCXHU/z118uRDvpfiomSj99oryb6YkzQJR8Em/btcc/RUbn+ccmSiFOXeM+oKcEiYZCU7gO9blqGSE5s3nznZbs+kQTQHZdccUudvXtbyPu1CYPUJHxTmjIC9JWPY1IhTZhUIHozXS2HnMWK4WhgoJJZfnvLFmXEg5A0wIvEg0hAJO0s6wt6+238Lb9ZCE3lny0rd6R1RDV2u6LalIX4N4vXr6+MjrAkTCoQZU/+a9ci7OFDxDk5KYncYiLZoHaWBf3kQ0qdZR2R1L1TsSL2ybFS6CGmvuXKpVzXFZvUEf+m+DbP0lha7BHnwa460ZuJxEOOvHlxVe5DikSu+GLsxc6dyhTgpKMe9L8Ye92YMpHUXd1Iu05QBfk+GqmxVLCX+6xvVa+uXBf/pp1aEyIricSFGG0gRh3obuuIhIWuHoWgW31DHCMuSfcLfn6ts0FSIewQ9qxcigXXaqDBgD4YXtX+1QG2qTkmCSYViIxLdJiD1YTAsxMnECJ3lgXdXDpBBPowOdDrOsvj5UtyhSaF5N4E9L/J07nap48cVB2UDnouf+3wL/3khGAqbwJC1iUVYhB+dQVWLd+D/Xl7oP+wlnDJl0Pdp5OaY15laR17oqx2aNEiZRSZcN3LCznVRK4YJqwjkronY2OxUL2d/AQkLd00N/2Er27+ss7zPHnwfMAA5XppOZZq5JiaNDkhiG8Qi8kdbFNI+GZZ7JECcX3XXKxcEoX/uvXH965VUCTpQ0jNMUmI82BSgch4xJdjVw4fxotixZQvxsR0YEE3JVhHJHX7ylvx6kvpizH9hK9+H1Z/ZITwtEkTxNapo1x39PVVtvrJCR1TSfga+rnY7JIKUugqTHn/JOK3focRmImxDR4h/2FPTK1gpx6hd8wW+RjNTHxT/xHsD8/C1Ip51COSx6QCUdbTfXOnIwr66ETJgXaNmiToonakk07LEJLrLCel/yaQtDCQ/hSOy+XK4ayatBD/pigWJJbrTErM4RMaVaiAXI8fK9eTEiMtxJtY0jeLrEkqxCD0SD+8t8IVi39qhmLb2uO97cOw1asbGmmT3LLUHJO8LOvYE9FL4ps7nf/On0fI9YRq5v5yPBXzmGuGh6PyDW2hsaTTMlKKk/p00zeEpN/66Scq1tWqpWx1/6ZuDrQ+Se6I35Yfm0gMvyfHXt2w5KRel8jImthzG8cnfYpvqqzE5lb3sX1kX/zk8i+OfFYRCb1TcUxn+ZgV2CIf8/eofvjJeReOysdoJwYmT5wHkwpEWUs3SldHrLz24plY0F0bs/zkixgd8YkcY/M8f/7KqF1BP04amvDV0SUqRMJXN8JX/Jt2ch8yT6VKym19ot+sTEGW42S5JPFdn0hkiC/ZRNzVsfCkQhQerm2CygF/4P439ZBXDtD7xtdFxxK+eDisGqyTHHNPPiafOObbd9HpbV88GFZdPSZ5TCoQWQYxjFjIJQf1GLUTrZ+cEJJ7E9DRfzNIqbOsT5fNft2wZEF/pMU0+aKr7St+Ni6zO8HSSWxo/ynWjT+Dte/nh+b5YnxXYAsenliNRTXVBGxqjnmNrOnYE5Ex6dahF0RBXvEBP2lyQhAd1x1yLBXH6xK+OvqJiuSKACf1uno9Sb0uNot/I7Njj3TfA72q2KH946/R2VbCc982KDC2LbYeGIqW6mw+cUzvqnZoF6Q7pq18TBtsOzgULVIY/MWkApFl0BWjFHKocVU/OaGjS/g2FYUmHyXUTtCfwvG6/mRSqe3DJhebRd803oDYY2ZJhdvYN7Y+Pn/3KM53Fkt0ROLOn/XhuH8Krsxvow43STjmnHyMRjnmfZSRj7k8v+1rh1ULIqkwceJE5bqHhzbz7eGRMAxGt2/SpEnKVkh6XGqOEVI6buLEAPlNRLn6ynHGvC/BkH8ztfdl6HMmvO7fNMZ9CVn5b+qeN3FbVHj94YfXH6O9/ub70l5/82MTt0UxFmPcl5Ca44x5X0JKx+nOwZj3pb2e+Ljk7usD9du1vSEJ69gnd1+lfXyU7W21wJqQ9P48PDwy/wO4kiA4ihwBf2BiiZzym8FRrHFtgRn9zuNke3UkRmqOeQ1xLuJ51G0F3fOZ3O/BmG0Zff9C0raMvn8haVtG37+QtM3c719I2pbR9y8kbcvo+xeStpny/ScXT0uXLg1p82bcqV1bbXk1np4+fVrppDdLFF8zO57GaxMEi/vj9IqOqCa3SHfGobvjczg9/BVji4qsgjimDQouHoBTL4/5Vj4mHE6BszC2yOuzCuI8xDkJ6XmOk7YZ876E1LRl9P0LSdsy+v6FpG3mfv9C0raMvn8haVtG37+QtM3c719IGk+dnZ2VJEWIfnxNpm/qI7eJREaO7t2V2yLuGJImsFK3ZuIJ/rsdoXwbqGUFa2trSJHRSCgt8bpjYvSO0RKBWv/CTDARpZaoEJyaKsFuvr7KxeSE3MWdGL23AI01bOwkREXrjdZKzTGypLFUXIiIUiu5eOrm5oa+SUaYJY2nm+X9upFpWScGoUGPkChU5rSFrRSNqFhJ7Y8md4xNkmO0xBdcjKVElFZJ46mYcuueNL4m0zcVsfSHy5fVW4Yzs5EKp7CpezN81/EcLigjFV7g4bpGKHlwCm7ObgHtCvkJx4jRDBrlmIYoJR9zY3ZL9ZjkcfoDEWUFEXsyvabCAw/0eTsQZe7P1Y5CkGPnxs4fY6bbeRz6RB1Il5pjXkOcC6c/EFFmy/zYo+2Llvj7W5xfph2FIGJnr1JhqPNoOka8JUYqaPuib/89HueSHhP0M0YUSnmkAr/0IqLMZujnYjMbqVAMxSvZIigoFDHK7RhEPY9CgYolUUK5LaTmGCKibK5geVSwuY97T9QxXNJzhB2vgKql8mlvC6k5hogoW7NBgbdLwebyI9yL07ZIkaG4V6AsqjrolkdWj7mif0yYesybV9MhIjJ1ZpZUKIxK9Soj5MB5nBVJW+kmzv4dh1YNS8M65jz2zz6ACzFFEo4RyRVxzF9xaCmOUe6DiIiQqy7q9TuM/WcDoeShgw7C73lXtCv7RI2lcpB93TGVEuqZExFlbxrkqtwUQ06dgO+9aEh4gcfnjuH8+IZwlnR9UzmcVnZ+eYwYuaA7pjFzCkRkAcxuSUnE+GO3R28Mud8W3aXd8Gn8P2wa4IRCV4bhk+r/odx5L/xe7opyzFD5mG7KMQuwcUAtFH3DSDhOfyCirJAl0x/krm/M/T/wQzMv7GnrjMp+oXBY8jOm20xAm2qPUf6CF+ZWzoXYZI75pabDGzPSmT8EmYgoq2JPGB7s7Ie2w/KgQce7OBLQC5MX98JH94fLfdPH2r5p5Vj5mP7yMXaJjmmZL+WsgjgPTn8goswUEBqAsg5lDfpcbH5JhQzEpAIRZYWsSSpkrKzp2BNRdmdpsUecB7vqRNlT8Itg+Af5w9HeEY75tSuHidu6drHV51bd7eVxzdY2Q+IysAl8u2qLNHoc8sCkwwkrRyQyGgbFHiYV9DCpQERZwVKTCpghrmhv64sfJXf4xX8zUz5faZT27clqptVr3xiF1BxnzPsSdMeldA6pOUZI7XGped5S+9wa83eQEb/PzPw9CeIccszMYbT7etPzYcz7ElLzfGTE70lI6ThD7yu1jy3F4+SOMJMKRJSZfO++ugqNfiJAfHgXxAiAgJCE5ckFn64+SmzefH0zOm7pmGysbF++PbzbeyvHiWSB773kV73Z22UvmpXSLhOZmtjsdcELXue9lOv6HHI5YEuHLZDiUx97mFTQw6QCEWUFJhWSZ+gHEmN+uDHGh6DUHCOk9rjUPG+pfW5N/cNqZv6eBHEOTCpoGfrcpnScofeV2seW4nFMKhBRKiT9gC++9Xct76pcF/vEh23/x/4Ijko8GkDQJQJc1rrA756f2pqYTxcfuJRyUa6nFLN0sVmMPBjhM+KVWCnuQyQo3Kq5KbdFIkA8bgdbBzgVcVLadMRt0W4Mhn4uZlJBD5MKRJQVLDWpYEkdeyIyD5YWe8R5sKtOlDzx4V9/WoD4tl9HP2kgpgXoPpSn9AFfl7gUIw+ardN+459Un2p9sLTlUiURoPumP7kP8yJBofvQrz+SQZdoMHVMKqQDkwpElBWYVCAiMg5Liz3iPNhVp+xAv0aAuC4SAeKDurju7uOutAv6IwOcSzqnqj7AxAYTMbHhRCUR4LrFVRl9IIb4OxVO/E2/R0PtNIXkahlkN0wqpAOTCkSUFZhUICIyDkuLPeI82FUnc6X7hl73IV0Q39Trvq1PqT6AbvqA+LnaK2qrrUCtwrVejgoQ+3WJAPFviX9Hf8SAuYwKMEVMKqQDkwpElBWYVCAiMg5Liz3iPNhVJ1OjSxaID/zig7wuaZCaUQPD6wyHZzNP5XrfHX1xK+SWcl1/5IBIDOhGKlDWYFIhHZhUIKKswKQCEZFxWFrsEefBrjplpqQJA1GsUEwfqF1EO1ogNcVZxX2IxIJ+rQHdqAFxO2mBQTI9TCqkA5MKRJQVmFQgIjIOS4s94jzYVSdj0k0TEEkD/VUFOmzpkKjQob5fXX7FiHdHKNfFlIVaRbRTEPQTBJxqYFmYVEgHJhWIKCswqUBEZByWFnvEebCrTobQrXqg+5AvkgdiqcLkahfoFzpMupKBrkghRxZkT0wqpAOTCkSUFZhUICIyDkuLPeI82FWn1xGJAJFA0I0+OPP4jLoH2NtlL5qVaqYkGcouLIuahWu+TBDotiJpwIQBJYdJhXRgUoGIsgKTCkRExmFpsUecB7vq2ZcYZSCSArqtSCCIJMCsZrOU5RGTrp4gRh7oCh6KQofZdTlESj8mFdKBSQUiygpMKhARGYelxR5xHuyqW76kUxZEbYOOWzomWxCxT7U+WNpyqZJU0BVT1I0+IDIWJhXSgUkFIsoKTCoQERmHpcUecR7sqlsWMVVBfwSC3z0/dQ9wc+BNlMlfRjlG1EEobV9aGXXAqQqU2ZhUSAcmFYgoKzCpQERkHJYWe8R5sKtunnQrLIgEgRiBoBuF4LTcKVHtg9L5SyvJAk5ZIFPCpEI6MKlARFmBSQUiIuOwtNgjzoNddfMgRh6I1RP8H/sryYTbobfVPdpaBz5dfZQpC6K4YnCUdsoCl2EkU8WkQjowqUBEWYFJBSIi47C02CPOg1110yOSBiJ5IEYhiKKJBWwLKNc/WPfByzoIIpGgjEBQRyFw6gKZEyYV0oFJBSLKCkwqEBEZh6XFHnEe7KpnPZFEEMUTlXoIj/0R8iJE3ZOwdKOY7iCOYQKBLAGTCunApAIRZQUmFYiIjMPSYo84D3bVM5dIDojkgeBa3lXZuqx1eVlQUVcDwaWki3bLKQxkgZhUSAcmFYgoKzCpQERkHJYWe8R5sKuesXRJBN1FV0SxVuFaON37tFIHQbTrlm5kIUXKDphUSAcmFYgoKzCpQERkHJYWe8R5sKtuXCI5IDjYOijTGmqvqK3c1hHJBN1qDbqRCkTZDZMK6cCkAhFlBSYViIiMw9JijzgPdtXTT7e0o6h5IKYxLG25FG7V3JR9YmqDbhqDuIhkA1F2x6RCOjCpQERZgUkFIiLjsLTYI86DXfW0EUkEsXyj2Oov7yhqIng28+QoBKIUMKmQDkwqEFFWYFKBiMg4LC32iPNgVz11dKMR3N91V26LhEK/Hf2Q3za/dhRCSRe4VnBlTQSiVGBSIR2YVCCirMCkAhGRcVha7BHnwa7664lEgkgeiGkNutEIp3qdQu0itZXaCWK/SCgQkWGYVEgHJhWIKCswqUBEZByWFnvEebCr/iqPQx7wPOWJkBchagvQvnx7ZTSCW3U31kUgSidDPxdbqVsiIiIiIiKTI0YieJ70VG8lrOAgEgmi6OKzL55hc/vNytQHJhSIMh9HKujhSAUiygocqUBEZByWFnvEeWTXrrpIJOguuhEJT794igK2BZSkApMHRBnH0M/FTCroYVKBiLICkwpERMZhabFHnEd266q77XBLlEiwt7VXVmrQXYgo4xn6uZjTH4iIiIiIKEuIYooiiaCjm9rQp1ofeLf3RvAXwfBq6cWEApEJ40gFPRypQERZgSMViIiMw9JijzgPS+yqi8SBSCSIOglnHp9B6fylcWvgLWjk/wJCA7jsI1EWM/RzMZMKephUIKKswKQCEZFxWFrsEedhSV1137u+yhKQyy4sU1uAWoVrKQUW3aq5qS1ElNWYVEgHJhWIKCswqUBEZByWFnvEeVhSV73MwjLKSARRJ0EkEUQygaMSiEwPkwrpwKQCEWUFJhWIiIzD0mKPOA9z7aqL6Q1iVIJyvb22ZoKudgLrIxCZNiYV0oFJBSLKCkwqEBEZh6XFHnEe5tRVF7USvM57wfOUJ26H3lbaRL2EgIEBynUiMg9MKqQDkwpElBWYVCAiMg5Liz3iPMylq953R194X/d+uRRk+/Lt4V7HHS6lXJTbRGQ+DP1czCUliYiIiIjIYGI5SB3dUpATG0xUVnIQUx6YUCDKHjhSQQ9HKhBRVuBIBSIi47C02CPOw9S66iJ5IJaC1NVL0E1t4FKQRJaDIxWIiIiIiMioRDLB45AHHBc6YtLhSUrNBDESQSQTBCYUiLIvjlTQw5EKRJQVOFKBiMg4LC32iPMwha66SCaIRILA5SCJLB9HKhARERERUbroaiToiGSCqJcgpjt4NvNkQoGIXuJIBT0cqUBEWYEjFYiIjMPSYo84j8zuqvve9cWkQ5Pge89XKbgokge6BIODrYOyJSLLxpEKRERERERkEJFMcFnrgmbrmikJhdL5SyMgRFsvQSQTmFAgotfhSAU9HKlARFmBIxWIiIzD0mKPOI+M7qqLZSHdfdzhd89Pue1c0lmpl+Ba3lW5TUTZD0cqEBERERFRqoipDSKhIEYmLG25FL5dfZlQICKDcKSCHo5UIKKswJEKRETGYWmxR5yHsbvqYglIsZqDSBzokgebr29mIoGIXjL0czGTCnqYVCCirMCkAhGRcVha7BHnYayuui6ZsOzCMuV2+/Lt4d3eGxr5PyIifYZ+LjbP6Q9hh7Bn3kB0HTkHnhdDwKwIEVFaxCD86hIsmPAZek37G75hcWo7EREZRArE9Z0T4NF1NL7wvoQgE+qciukNIplQZmEZJaGgm+awuf1mJhSIyCjMLqkgha7C5Pc24mDzGVg09DGuNf0a316LUPcKEmLvLYBnj0LIr5FDZb4mqLv4LB4x80BEpCcGoUf6oe5se1T7+jd4lJyGToPX42C0ulsRhvt7+sDNyVr5tsyq3lcYeTYYHM9FRKTvNo7/0BaDQnph5KLWaLy9JZqvugr93ilizsB3em28l0/um2pKwGHACuzIpESu40JHTDo8Cfa29pjYYCL8e/vDrZqbupeIKP3MLKkQhcB/ZmGGWzeMrOCAfBUGoOtgbyzcdUvuHutE4/GBtVj/yQHcjn+I64ttoBk4G563X6j7iYgI0lns+ukAavb+CA3tC6JcBzd8vmEVll5+rh4gXMOBsTnx9voniAv1wYYma+A5dQdOMatARPSSdH8pZs/sjKHtKyJ/Phe0/awaLv+2B/ti1QOEx1sw5tAYzHoQjbBrQzHw0GAM33o7w5K0YqqDjkggDK8zHAEDA+DR0INLQxKR0ZlZUuERrp2+h1JliyKvcrsIHKuWwNNzt5AQOmPwIr4HpnSsjAKaYijXcQg629zGvacJaQciomwvwh9ndnyEqqXstLftqqNaq304feuZ9rYg93Zz9xqFMRXyw0ruKLfr6gKbU4G4z6QCEZEqHhHXjmNd+/KoaiumEljBrmwtdDx2Cf5PErIK8dFl0XNqGzTKZ4285Yega6/8ePg4DPp5B2MQyQTXLa5wWu6EZy+08dyzmadyYTKBiDKKmSUVnuC/2xF6NRSsYG1tDSkyGgkjdvPCsUd/uOTWzhGT7p/CvoKf4NNKeZTb+sRwXv0La1YSUbYRchd3YvTeAjTWsLGTEBWtlzGwqoN2X1WFvXLjOR5cvYmCg5qgSU6l4aWksVRciIiyhxiEBj1ConCa0xa2UjSiYqWXfVYrx574qmo+7Q3pOq4sL4D2TcvARtvykiiOlpZYKuomuPu4K3UTtlzfoiQQAkISvnIjIspIppNUiPbFhmFd0KVL8pce6y8jWh2fkJSVQ57k98QcxtrPrsBxR1+0zfNqYBZJBP0LO8JEZP4kvLg4HcOSiaPay3eYdkl/ikMCKdYa9nZJu7iChNiAmRg1ZzCWDHJCQbVVJ2ksFRciIvP3BJfX9ksmjqqXYRtxPDr5rnS8VR7Y22qSKYMYijtrPDD7q1WYWTu/2pZAVFs3NJZ6nvRU6ibMPjVbqZswy2WWMtWhdpHa6hFERBnLzJaUfIDDHk5oV3gvHgyrDmuE49bS+qgXsRYPh1WTb+uJ8cfOod/j769WYHZN+1TVtuWSkkSUFbJkScmolZhsvxYBJ9ZiYQ07+c1gP7zKjMGBrbuxqKb+yC4JMffn4us+udHSuy9a5suhtqdMnAuXlCSizJb5sUdC1MGOsB/5MbYeGooWcoiUbozEB++Xw9jAYWiRaGRXGB7sGIJeN8dg1dBaKJqKhyjOI6Wu+ubrm9FxS0f5UUhK3YSJDSeigG0BdS8RUdpY+JKShVGpXmWEHDiPsyK+Sjdx9u84tGpYGtYx57F/9gFciJF3vEwoLE91QoGIKFvJVRf1+h3G/rOB2kJhQQfh97wr2pV9khBL1YTC6N650XJT6hMKRETZhwa5KjfFkFMn4HsvWo6aL/D43DGcH98QzpJe31RJKAxVEgqrU5lQeB0x1UFXiNG1vKuSTLg18JZSN4EJBSLKCmY2UkEW44/dHr0x5H5bdJd2w6fx/7BpgBMKXRmGT6r/h3Jnp6LLiqZoO+2+HL4TWH31D27ObonS6u3kcKQCEWWFLBmpoCQM/sAPzbywp60zKvuFwmHJz5huMwFtqj1G+Qte+K3gMkz69Cv8sF+/0G0tNNi2A4faFFNvJy/zvy0kIsqq2BOGBzv7oe2wPGjQ8S6OBPTC5MW98NH94XLf9DHKnV+EiQ96obvrFuzV75wWGIVfr03HiEKvT9iK89DvqouRCSN8RijTHMTSkEREGcHQz8Xml1TIQEwqEFFWyJqkQsbKmo49EWV3lhZ7xHmIrroYmSAKMYoijEKfan3g1dJLuU5EZGxMKqQDkwpElBWYVCAiMg5Liz3iPCYenAjPU54IeRGCWoVrYVazWWhWqpl6BBGR8TGpkA5MKhBRVmBSgYjIOCwt9ijn8QuU6Q7uddzh0dBD3UNElHGYVEgHJhWIKCswqUBEZByWFnvEebTf3F4ZnVAmfxm1lYgoYzGpkA5MKhBRVmBSgYjIOCwt9ojzYFediDKboZ+LzWxJSSIiIiIiIiIyFUwqEBEREREREVGaMKlARERERERERGnCpAIRERERERERpQkLNeoRBSn4dBBRVrC0ooYs0EhEWcXSCjUSEWUFQz4XM6mgx9xXfzD3CsHi8ZtzR8Cc/374t5+1xPPP1R9Mizm/Jsz99cC/nazFvx/Twt9H1uLrOWuZ899Pdvvb5/QHIiIiIiIiIkoTJhWIiIiIiIiIKE2YVCAiIiIiIiKiNGFSgYiIiIiIiIjShIUaiYiIiIiIiChNOFKBiIiIiIiIiNKESQUiIiIiIiIiShMmFRQxCL+6BAsmfIZe0/6Gb1ic2k4ZQ/t8r5hYCw49NuK8/gQcKRDXd06AR9fR+ML7EoJMcnJOwuMv0GMDLqit5o+vgyxlFn/7qWAp52EuxPO9ayymfFoCNdbfRaKnO+wQ9swbiK4j58DzYkjifaYi0eO/ozZaAL4OspY5/O2/Ed+TM538d+Oz6FP0KDAIHg9i1UaZubyedY/fQfv4LSbsWMTr2VylPg4xqSA/WaFH+qHubHtU+/o3eJSchk6D1+NgtLrb5J3Cxp65YKXRQKNeck0/jhfqXlMUd7ofnCv/hKnrryDEWqO2Crdx/Id2GBTSC6MWtUbjf1qh+aqriFT3moq40/3RtJL28QfrP/4HHuij93vQaJqhy9FwEwt+Ybi/pw/61rZWHqNVva8w8mww4s3mdSAevxvcnPQe/5ln8nP8Ag/XvQsrK73nv/wMrNfrE5gE6SqOe9bDe/nEYywBhwErsUMJ0Obxt/9mZn4eZvEa1vcE/r++i4qf78Kff0XLr+MEUugqTH5vIw5+OAOLhj7G1SZf49urz9W9pkI8/rqooHv8L59o8Xquq/d7kC+m+HqOOQPf6U6veT23VV4HI8XrYHtL5XUQof0p06E+/vf1Hv8/oeLxm0e/QgpahT/6FkY+8RjzNUHdRWeUD3sv//aba//2rzWV//avmdyz/wba9+R68nty9THa9+RP5ffkQzHqbpOX3Gv4F9N7DeuL24I5jZug1a/ncCxY/+ORmbye1cffWjz+EP3Hbw6vZwmx9xbAs0chM309q4+/eyHk1z3+xWe1ySez6FdE4fGRoRis/9lA7lsb/NlAFGrM1uJPSOvbOkqdj4RI8eJ2+CJpgnVbqf+ZcGW36Tspra3VXxrhd0hat26dfNkibb0Rqj0XExX/6ID078Nw6cHaOhJ6b5TOqQ82/t5EqWf+6dK6KNEQJ4X7tJas3/9D2hGr3W8q9B+/Rn7859V26f5EqVbnxdKf//yj/i4OSydDTezBy38va+r2k769EizFhfpIG0cUljTdVkvHY83ldSA//nry478qP07l8ReRrLqtkk7Ex0gPVrtIDRf6qM+9fPG7KQWZ2Ash/voYqd7EI9Kj+HgpOnCuNL5cfqnBX4FSnJn87b+JubyGX0t9Da806dewvkjpke9R6X70CWljt/xS1XV31NgfKT1YU1f6f3t3AldT+sYB/Hdvi6JFopJtZC+UFpSlkGSLQTGWUnY1WSKyG+sY+zIzDMaSfQtjyZp1CNkia5SiWyLdQbpu7/+cew+irP/5fOYcnu98ms89x5Xn3t7nOc9573tOJtNjWbZm+y47EmHOSi68zHI122LxbvxJwv4cLp+bMFeR5zNLncic265lx7NzmfLmT2xYdUNWNfI2e8nlQTfj/HnQUpMHe1TavyYaQvzHnuSLf/UtbgxJoa9Qstu/ezG/05lcXEqmiG7D6usMZbMfvhn7Ss3zuLE/qiQzXxgvsrH/Ea9607+ztNvcMXmsPndMvvRUuy16Esnh/PIS2Zn991kudxwIkPVj41O1Ccsf1ySRz/ni94c2fu3bLYV85sdLM+YWeZU9znvAbm1oylzkQWzkXa7XlkQ+a+N3jUxgjzTxN2POMj7+FyxPCucGeUfZUpfpbOMTLq7cS+xAhBXTCd3DFOrPOzeglQrPLuDi3uawLVdUu120JuxaHsX5O4+121KgUwmurq7w9fXlvnzQ1sYY+T//FxuZRQN4WukKW6/k4dnNWGz0qQzbInz0chS1sUeH2ASczxTXkr/C49fSsa2Fjt7ews+iPhyNdYQ/EYk8wLBHGMKrmkJu7AGfzh7Qj0tDrlIiecDH352Lv4oJZK/iP69AKv8RLSuCsrWchPee+2pcEaXElgilemHlUGdYyGTQK1ERVurv4V7ViBv7ZyQx9j+Mz2Hpvw5NDrcQcQ6/xQAW7nVh/daKL54CN8+noJyNJYw02xb4zs4ajy7fwV3Ntli8L36OJp+dRZ3Pebk26DG9DRoY68Gocn909jfGg4xs/MPnQbuCeXAhU1wf076Kv6HJm/jTHiqhyVbR9xVFULLxEix0KcHFVQxm1tZQtHFCPRNlwbFvK8ax/xGF9Ka2LY/hfKKEelMJ5PBbZBXh7FkaesKmlnBck0A+Fx6/QPT5rMKLvB8wpUN1FJdZoVKH/uikn4SUR5kSyWdt/FM7VIOZJv5+8NXEr11aJPpzA1SH28oB6GTCxaVnDStLC9jVrYjizz/v3IAmFZ7cQ7Iq39sg04N+UYac3PwLScVNXnEh/mhRVLtkxSMcERezRLxc931UyE5X4K0fha4+irBc5Lxkknk9VX4NRjsbOfezKA+LgesQLbZrIOWO8Am1halm4ynu30hEib6NYP9MInlQWPx9GqIRX591shAzqDYq88vLjL3QYNVl0V33KDOpihpGFxA9phMiuvpjZHMvNLfShfIrGPtfUw63ryTiHP4kmXiY9Czfey6Hnp4e2HMVJHNlnyafa4k6n+XfdUeorbF2g93C9ZVmaNe4HJ4WyIMiosyDwuL3aVQR/JS5+PsKPZjUqADzpF8xdXhz9Gh4BCV8aqGm7r33jP1c6Yx93lfQmxbI4dXxosvhjyvsuPYmn6VC/PlshO+69oKHoXaqg6XG4ViJ1uhULVci+fxu/OdxVBM/955z26I/N5CVQo0actzbPRATBzdGu9FuaO5gCd3PrEP5nkleYS/1YFpUX9gSOVYMlo03Y1H0U7Dcc9jttAIzpu9BnOQKd+Hy5MVgWoQ7IAnbYsZ0HOC2ZTuiEtXITRmEnod7IXRHkvZTH9FheHl3FsLm98Pyvg4oJuzNT9x5oI1/2IK+WNanDszwEjoWvbFo+zXcYtlIXS+DKnAu5iSLsI1Um6G4/3JMXb4Zq4oNQethfyH5zcXkr0lp7H8I5bB4yIsXFT7tETvG5XMv/Po6n+XizWeNbCSvn4i5g9ZjVh3TQse6uPOAj3+CJv6Zjqbc2y+VvoJBbVAPrcbtwdKz3eAe1hbNtmcXmq/y4sUkMvbfT1K9aSE5nBswR5PDX0N7+iqfJUFq5wmqv7Gh23VU2N0TPkWzhZ1vE3U+8/F3v4bv9gZy8csk1Vfomw/DoDkHEb38Bva6TMTqxIJ3xPpQHaJJhRKVUUU/FSmZQrPCnkJ5pgpsywmz92Inq4ZGoa6owi8f1XOEp58H9BOz8FBCk9la+jArUw761xVIETKNPVcixcwGtsXFvPz4DZlle4Q2Kg0Drm3UK+MPP39TZGY9F2HhYFClLsSw3tbodSgI3vwyLEnlgTb+sF7WCDrAxc8v1+KXUXv0RifLItxjY1i34B7rK5CRLcK7QunZoF5V4fKNLu5gMclQWUp77GtRDouHFUpXK4L09GxoF1+qkPM0B2ZVy8Jasy127+ZzL/HmM5S4v3cAgh5Px67+DrCQ6Wjz4Fr+PMgW8qDwy+b+W3z8AxH4eIYmfkv+PEkyfQWXp1ZOcBAuP/khPAfX7zJYSXrsC953TC4vkd60kBz2FW0Of4hwXJNMPhdCSucJqguI7j8VJ3/9E/PtzbgMl9ixjI9/wDScXLQcC2oX10wiS6evMIJVPZvXl5/4s8s4gIafdW5AkwoGznAJ+hvHLqXxl2sD6Sdw5Gln+FQTrh8RtRykrg/BT3dzhO1spF7PQO0wL7hL6VxEQwaD6u7oH3cWMSn84H2BjMuxiB/thoZSeC0sDpt6bsI5lTD1q7qBa1tbIaR1pcKvb/vPaE/IhwcYwntroHZCgSeZPBAmRPwN0TKKi18zocBJnYOAyNvCbxng78J7EZvr9cCA6oaaPeLwAootHdHhxCMuQt5zpN9NRekfm8GptoTH/mt8DjeWdg4HSCGHP0UpVHOpjifH43GJT2iWiEt/qeHtVkEar4XL555cPmuPbGLNZx5/Qt4fPRLDsWYAP6HA73s7D/jfTPMqDxqI7hxEG79/4jCsG2AvxC+RvoJdwjbPSYh88upMLwl3NljBr5kj7F6NfT6V+bG/S42WUhn7rwjH5OOX3xyTjz71447JYsuB9ygkhzcJOawZZpIhpXwujITOEzQn5OOwa1Ak5tU2FU5Q8x3LxJ7PmgmRsdgVugpzhQkFyZwbKGbAc/BxPBAmmljaFZwq3QHdHOt83rmBcMPGb1gey01ZyMZUcWauQ8NYoFMfNuTiY6YW/lTs8lKmsCCL1sw9dAgLaNKDdd9whaWJ+e66vLwb7GxkOJsTUILBKYj5/nqQnXzGB53NUvf6MsdKASx4eFPm5Psn2yPGO6/ni1/2Ov4XLHWrB7NoHsKCBrVkTVpNZtOuZIns7rpc6Irf2LhGeprS/ObLnrnuvC+JPNDE31i/kPhPsu3+5Vnl/qPZ8B5NWdOJUeyQCMdO3t0I5mvQknuPR7P+fdsz39lHWXyuhMb+R0n5dTzjcthd9Dn8rjzFdrZ5cVfWp6YeM+k6lYVF32Ka+8Xnnmf7R9VilQNGsTH+dVmDJRdEeWx4O/4pmvif5Z1j2wMqsEqizufnTHGwPWtilL8WcV9mYWxWhpLLg04izwM+/naFxr/q3AQJ9BX/sKTV9szQK5j5BAezgT6D2Y8xKdyr4ghjv9LrsX+eKcSeyAUIvWnVfMfkC49EX49ek0QOv+s5Sz89m62a6sSc4MpqTlzJ/rjB/84B/rgm9nzmFR6/JM4T8q6ymJFlmXH+WsR9yUP3snQp5LMQv1GB+Hew81LoK/JOsrU+ZqxcnzEsKKgjV1N/Z6vv8dX0886RZfz/uBdOCCGEEEIIIYQQ8lno8gdCCCGEEEIIIYR8EZpUIIQQQgghhBBCyBehSQVCCCGEEEIIIYR8EZpUIIQQQgghhBBCyBehSQVCCCGEEEIIIYR8EZpUIIQQQgghhBBCyBehSQVCCCGEEEIIIYR8ERnjCI8J+fqx+7i2ORyTJuUh07M0asnioVibhPMDZmDekNZoaqwjPJEQQsiHMOVBbP95AsYnOqGqTiZszeKxfkMN2C8ai4Uda8BCJjyREELIB6igvDobs8dvRHQJT9SW3YSp8gxWqIIxZMIAjLA1BZVTInY0qUC+HSwFF2Y1R6tHc7Fvohdq6gklWhWHvSO90fpSBNZtCYWfyb80scDuI2H9VERWnYwpTsWFnYQQIn1MuRlzak3C/sU7sbVFeRhq90KVOhtjWozGqu5HEDeiHkr/S50wP4GxKfQeDBcFoG1Raq8JIV8LFZTn+sO7TVl0PRuB4DIGwn4l7u/yRbu2BrD5eznW1SvxLy0v5ycw5iD0pBdm93aAmbCXkP8XXf5AvhFcs3ttOiaEO6FLkPubCQWeniO8w4ei7+F5GLszCXnC7v+b+gR2BsbhpopWPxBCviaPcGPtGAxzCMPY5q8mFHgy6JUJwdDJjng6agnmJ70Q9v//1FeXwH9dOnL0aUKBEPIVUR3GhrEbkTqtBwa8nlDgGcO61QyM630Am+buQ9y/1pxm4fqOWVj36CWKCnsI+TfQpAL5RjzFvVMHsd3GAfUr5C/aAosGcGv9ALdObMa83lXhZtAQfqf/AbIjMatDeTjJ+2PC/ZdgLA23ogZisJ8DnHotxLJ7fNOswuND3dC1iSnkHUZjVnBpyG2mYuf1s7itzsSV6K2YFr5fe0BQnsTB3/qgy7gVWHYjG+zRMkz1Kcd9/w7oO7khPOQe8DuVBeWN5Vgypht6TFuD5fzzNEESQogIsCuI3ZUIfTdbOBboIorAolZ9NGXncHD5dIS0sICBwQxsVOUh+1gguvF10n8zrvBPVR7DX7PbolutNmg6KwaXVXylu4kjPznAq2pR2IRPxJCG+jD4eT9uXE2EWh2PTWuWInxfMtTv1lJNHe6OH4Q6PFNTh3/BJlU2bkWPwYTOwxC87DD+Vqr5f5kQQkSBJe/Frr3OqFvDquBJmcwGdq7lwKIPYcsMD3SobwiDGWe5ancXJ6c5o1lFI9htTNbUv39uLMDCAW6o1SoEfQ6mIIf/+/l7zEnaHtM3+iau3XoOdfxhLIyYjWV3uT62QD3l63Cdt+vwjDNQCc/rPHQmJnDfJ4OaU5IPTSqQb8RzPFJkCo8LISuGoiZysDxbdP19CtrLhClhk+4IWxiEmkLhfBk7Ej8oh+KXNeuwoNIc9Bv7F+KZLoztguDvWRIsQQVVxFmcaCfDswwl9GT6MLUujyrd7VHjwXwMc9mKE56/YGmXCzjoNByj0pqhYx9XWCMNV2quwpbj7miimIaBLTJhNmIFfmt3Br+uv45c7T9PCCH/PXUaFFdVwkZBMkMTmOIF1I69MPcnD2GvHCaNfsfMAZW5J/CthxJnJk/BiQ4bseJAR3jvbYeuUUlcM1satp0C0LySGmk5ThgSFYkBOZl49EQGmcwMZW3s0a14JEY4v6qlF3HAkaulN1UwsgtEgKe5tg6P5OuwGUyifNA8ri0GrQ9DyPMpmHf1mTYcQggRAfXDFMQLjwvSg2GxooDKACaB2zCqvbFmrxrfwS1iCYLr6/ALxLjmNAqzu5qj/oJDOBSRhTSvyZieqgIz9tD0mKUZ32Ou5HrMRqjw8AGUenLIzKxQuklzeLPfMaxAPS3J1WH/13V48DauDpdIwo4e/bDEaQbWTbSD5agoxNAcLcmHJhXIN8IY1jblYXT7Ak4laeZv35b3GFn3ASunyigl7CqMbr0ViG3/BLE7tiPxGVfMY+4gQS2DrmVD2FcxA+rWR9uyZeA6JwKdGzZBebkxytZyRqfaubjwx2QsCuqMEVWKw6jGD2jrtQ5bzgNVnWxhjtpoXrc8zN0mop/NI1xTnEHk6iisygjArJ7VoS/8+4QQ8p/TsYGNqwFenEwodEluXnYG0lAL9auZC3sKYwyXn3diNNuL6AOX8cI4FzfvZCAXRihl645KZoao2Mge5Uv6Yc74LqjvWhFyOVdbXSvj2e55WNiri1BLu8DHay22xKZDp0Ad7oiyiiQo4qLx0+o4xNedj7G2tOCXECIeOmVt0Uh2A7EJaYVcfvsCysdPADcH1C+pK+wrhK4vxp3xRMmTf+LoDSWKIAFXU14AepVQ7a0ecxJmdmsMlwpFIC9TA35eZkheObWQevoE5vnrcCmuDgcWg+JGMs7v2Irp+4xh80cXeNDVvSQfmlQg3wgDlHZrg07yGGzZfQ1ciX4Lu3cAe2NDMNyn8geSQoWMw11QIzAWqQ2HoEtbB+gpPvUit3Tcv5UNVUwkuvXqBb/Oi7DbeT5GuJQscEdfec1JWL+pPJwuTsDGQCc0CVmD6Oe0xowQIhIyW9RvUxPGO3Zhefy7l2c9RcrZEzgRGojQam/utlAAu40jo1zQZLslqvmNR8u6xp94d/Ms3L/N19LVb2qpywJNLS1Yu81gFxCJKPcrQFQQIuq1Rqs/Lxeo/4QQ8l+RWbdB6+5ZSN56EPve7fXYFZyLeooGoS3grlPIB2ICpliCcdWHYYr+92gb0B119d6/kuxtXG/6qfVUxxP+22dgmDoSV35pDm/34YiIV75T/8m3jCYVyDdDVjYMU3Y7otLQEfh+fQLSNZWQQaVYi3md7sDy+CgMtnw1E5yFjCd8AVfi/ukjiNXsU+D06miw773ha5kLRVIy1OYfa4Nf4oWKXx9mhQp25oCJC4b8vgwbN67C6mHeaGFVsOlWx83FbKsJGLf4CmKursJPB+8iMZfKNiFELAxh3eEPbA0/jhWDfsbEK1lCY/kP0k8NR8d5wdg82QvVhA7DXP0YGU+5OvjyMs4evcPtYTDL2IR10x3h+b0zquA6km8/1z75A4oxFV68NEMFW76W1v1oLQUycW7EGeT034A5W9MQf9weD+9lgi6AIISIhswJPlOnYXTGEASM3opD2cI1BapriJ09ArN99mBrqzKvT9jUD7PxiHG9a8o+HDmQy5XTl3j495+YXKcVBtSzhDwtAYnqjy8hYLkvuQ6V600/tZ6q9yB8jjN6TjuMNadu4+TgWNx+8O/djJdIH00qkG+IMaxbrMX6k43R9kQAguz1IJM1gONiOay3rcRCezPtJ2W6DdHiZ4Yk7xYo19gPvkd1UBEJ2LchAcU8HaDXpxvsus/ErttqFFNcxuaYW3h0cwW2HU4CEo5izsY43OY7bJ1KqNHjOnY2bopay7NgF7IUkVZj0czYDZU928O533rsfXAJMRv2IYFx33/9buxIV3EHmAfYFBqGdiHBCG25DJe3BCPIlFKVECIieg7wnHQQpwMVeP5LHbgYyyBzHoSQBH+sONkb3sbapla3VleM8ZqH0GZtUbnebzgjKwaWcAzjLzigWf+/MK+zP9wiTiBZVw51/HGsuPkAt/cvwZGrz5AaswM/n0nXLAnWKWuPzuXHokftkVjTOBJrLEe/XUuVucjR1OFkTR2eu4mvw0Wga7MQIQPH4scf26FnuAt+GdQQpTWREUKIGPC/NedHjItai3mllmNTxxIwlpWAac8obHddh2MDHGChaU7NYevVDi1XeqNG0zawG/cQ+nUYUo/sw1mDxgiJ7QPvjsHotO0f6MrScGX/KcRlntD2mHwP+6rHhBHKVK+KCmObw6zHIbCeiwupp48L1GHG/VdlUxg8wsZgZEh3DMNiLGhi/okrzMi3QMY4wmNCvhE5SD/UF/3Cz0KmewfbHjaGY8c28HYsjzLFa6Jbi0owFZ5JCCHkA1gCjkwMwpST6Xhx4y5Olw1Ci+8bwcPaAKWcWqF7VSPhiYQQQj6EpS/FlF7zcD5XgYv7ikPp3xUd69dETVYcdQKbwdWQTuGJeNGkAvnGqfDPnb9wNHonlm6vgkbzgzG4ignNvBJCyOdi6bh7fAMOHzmAjS/7YsxQbzQwoTt5EULI52LKczh1aCtiFichod94zPSpIqxYIEScaFKBEEIIIYQQQgghX4Qu1CaEEEIIIYQQQsgXoUkFQgghhBBCCCGEfBGaVCCEEEIIIYQQQsgXoUkFQgghhBBCCCGEfBGaVCCEEEIIIYQQQsgXoUkFQgghhBBCCCGEfAHgfxPXikvmhkj0AAAAAElFTkSuQmCC" - } - }, "cell_type": "markdown", "id": "4ae147cb", "metadata": {}, @@ -373,7 +410,12 @@ "In each model, Impulse response of output to a 1% exchange rate shock is decomposed as in the figure below.\n", "\n", "![figure03.png](attachment:figure03.png)" - ] + ], + "attachments": { + "figure03.png": { + "image/png": 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" + } + } }, { "cell_type": "markdown", @@ -392,18 +434,18 @@ ] }, { - "attachments": { - "figure03.png": { - "image/png": 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" - } - }, "cell_type": "markdown", "id": "311d70df", "metadata": {}, "source": [ "This figure shows the contemporaneous response of output (left) and consumption (right) to an exchange rate shock at different level of $\\chi$.\n", "![figure03.png](attachment:figure03.png)" - ] + ], + "attachments": { + "figure03.png": { + "image/png": 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" + } + } }, { "cell_type": "markdown", @@ -439,11 +481,6 @@ ] }, { - "attachments": { - "figure06.png": { - "image/png": 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" - } - }, "cell_type": "markdown", "id": "16ce1a1a", "metadata": {}, @@ -451,7 +488,12 @@ "This figure shows an example of the proposition.\n", "\n", "![figure06.png](attachment:figure06.png)" - ] + ], + "attachments": { + "figure06.png": { + "image/png": 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" + } + } }, { "cell_type": "markdown", @@ -485,4 +527,4 @@ }, "nbformat": 4, "nbformat_minor": 5 -} +} \ No newline at end of file diff --git a/models/We-Would-Like-In-Econ-ARK/OpenHA/index.md b/models/We-Would-Like-In-Econ-ARK/OpenHA/index.md new file mode 100644 index 00000000..b2459e28 --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/OpenHA/index.md @@ -0,0 +1,15 @@ +--- +title: "Exchange rates and monetary policy with heterogeneous agents: Sizing up the real income channel — Ballpark Entry" +--- + +```{include} OpenHA_intro.ipynb +``` + +```{include} OpenHA_prior-literature.ipynb +``` + +```{include} OpenHA_summary.ipynb +``` + +```{include} OpenHA_subsequent-literature.ipynb +``` diff --git a/models/We-Would-Like-In-Econ-ARK/OpenHA/myst.yml b/models/We-Would-Like-In-Econ-ARK/OpenHA/myst.yml new file mode 100644 index 00000000..f52b5b39 --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/OpenHA/myst.yml @@ -0,0 +1,13 @@ +version: 1 + +project: + title: "Exchange rates and monetary policy with heterogeneous agents: Sizing up the real income channel — Ballpark Entry" + bibliography: + - self.bib + - references.bib + - subsequent-literature.bib + toc: + - file: index.md + +site: + title: "Exchange rates and monetary policy with heterogeneous agents: Sizing up the real income channel — Ballpark Entry" diff --git a/models/We-Would-Like-In-Econ-ARK/OpenHA/references.bib b/models/We-Would-Like-In-Econ-ARK/OpenHA/references.bib new file mode 100644 index 00000000..899a61ea --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/OpenHA/references.bib @@ -0,0 +1,1817 @@ +@ARTICLE{Zhou2021-cr, + title = "Open economy, redistribution, and the aggregate impact of + external shocks", + author = "Zhou, Haonan", + journal = "SSRN Electron. J.", + publisher = "Elsevier BV", + year = 2021, + language = "en" +} + +@ARTICLE{Woodford2011-hq, + title = "Simple analytics of the government expenditure multiplier", + author = "Woodford, Michael", + journal = "Am. Econ. J. Macroecon.", + publisher = "American Economic Association", + volume = 3, + number = 1, + pages = "1--35", + month = jan, + year = 2011 +} + +@TECHREPORT{Werning2015-vz, + title = "Incomplete markets and aggregate demand", + author = "Werning, Iván", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + abstract = "I study aggregate consumption dynamics under incomplete + markets, focusing on the relationship between consumption and + the path for interest rates. I first provide a general + aggregation result under extreme illiquidity (no borrowing and + no outside assets), deriving a generalized Euler relation + involving the real interest rate, current and future aggregate + consumption. This provides a tractable way of incorporating + incomplete markets in macroeconomic models, dealing only with + aggregates. Although this relation does not necessarily + coincide with the standard representative-agent Euler equation, + I show that it does for an important benchmark specification. + When this is the case, idiosyncratic uncertainty and incomplete + markets leave their imprint by affecting the discount factor in + this representation, but the sensitivity of consumption to + current and future interest rates is unaffected. An immediate + corollary is that “forward guidance” (lower future interest + rates) is as powerful as in representative agent models. I show + that the same representation holds with positive liquidity + (borrowing and outside assets) when utility is logarithmic. I + show that away from these benchmark cases, consumption is + likely to become more sensitive to interest rate, and + especially future interest rates. Finally, I apply my approach + to a real business cycle economy, providing an exact analytical + aggregation result that complements existing numerical results.", + month = aug, + year = 2015 +} + +@BOOK{Uribe2017-qj, + title = "Open economy macroeconomics", + author = "Uribe, Martin and Schmitt-Grohe, Stephanie", + publisher = "Princeton University Press", + address = "Princeton, NJ", + month = apr, + year = 2017, + language = "en" +} + +@ARTICLE{Tille2001-jj, + title = "The role of consumption substitutability in the international + transmission of monetary shocks", + author = "Tille, Cédric", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 53, + number = 2, + pages = "421--444", + abstract = "This paper develops a general framework to analyze the impact of + monetary shocks in an open economy, focusing on the role of the + degree of substitutability between goods produced in different + countries. We extend the contributions by Obstfeld and Rogoff + [Obstfeld, M., Rogoff, K., 1995. Exchange rate dynamics redux. + Journal of Political Economy 103, 624–659] and Corsetti and + Pesenti [Corsetti, G., Pesenti, P., 1997. Welfare and + Macroeconomic Interdependence, NBER Working Paper 6307] to show + that the welfare impact differs across countries when the degree + of substitutability between goods produced in different countries + is different from the degree of substitutability between goods + produced in the same country. A shock that would be beneficial in + a closed economy can have an adverse ‘beggar-thyself’ effect in + the country where it takes place, or an adverse + ‘beggar-thy-neighbor’ effect on its neighbor.", + month = apr, + year = 2001, + language = "en" +} + +@ARTICLE{Sokolova2023-cx, + title = "Marginal propensity to consume and unemployment: A meta-analysis", + author = "Sokolova, Anna", + journal = "Rev. Econ. Dyn.", + publisher = "Elsevier BV", + volume = 51, + pages = "813--846", + month = dec, + year = 2023, + language = "en" +} + +@ARTICLE{Rouwenhorst1995-ow, + title = "Asset pricing implications of equilibrium business cycle models", + author = "Rouwenhorst, K Geert", + editor = "Cooley, Thomas F", + journal = "Frontiers of business cycle research", + publisher = "Princeton University Press", + volume = 1, + pages = "294--330", + year = 1995 +} + +@ARTICLE{Polak1947-pi, + title = "The foreign trade multiplier", + author = "Polak, J J", + journal = "Am. Econ. Rev.", + volume = 37, + number = 5, + pages = "889--897", + year = 1947 +} + +@PHDTHESIS{Otten2021-we, + title = "Household Heterogeneity and the Adjustment to External Shocks", + author = "Otten, Julia Isabelle", + year = 2021, + school = "Humboldt-Universität zu Berlin" +} + +@ARTICLE{Oskolkov2023-yw, + title = "Exchange rate policy and heterogeneity in small open economies", + author = "Oskolkov, Aleksei", + journal = "J. Int. Econ.", + volume = 142, + pages = 103750, + year = 2023 +} + +@ARTICLE{Obstfeld1995-wg, + title = "Exchange Rate Dynamics Redux", + author = "Obstfeld, Maurice and Rogoff, Kenneth", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 103, + number = 3, + pages = "624--660", + month = jun, + year = 1995 +} + +@ARTICLE{Monacelli2005-zv, + title = "Monetary policy in a Low Pass-through environment", + author = "Monacelli, Tommaso", + journal = "J. Money Credit Bank.", + publisher = "Johns Hopkins University Press", + volume = 37, + number = 6, + pages = "1047--1066", + abstract = "We study the effects on the optimal monetary policy design + problem of allowing for deviations from the law of one price in + import goods prices. We reach three basic results. First, we show + that incomplete pass-through renders the analysis of monetary + policy of an open economy fundamentally different from the one of + a closed economy, unlike canonical models with perfect + pass-through which emphasize a type of isomorphism. Second, and + in response to efficient productivity shocks, incomplete + pass-through has the effect of generating endogenously a + short-run tradeoff between the stabilization of inflation and of + the output gap. This holds independently of the measure of + inflation being targeted by the monetary authority. Third, in + studying the optimal program under commitment relative to + discretion, we show that the former entails a smoothing of the + deviations from the law of one price, in stark contrast with the + established empirical evidence. In addition, an optimal + commitment policy always requires, relative to discretion, more + stable nominal and real exchange rates.", + year = 2005 +} + +@TECHREPORT{Mian2020-kr, + title = "Indebted Demand", + author = "Mian, Atif and Straub, Ludwig and Sufi, Amir", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + volume = 136, + pages = "2243--2307", + month = apr, + year = 2020 +} + +@ARTICLE{McKay2016-ss, + title = "The power of forward guidance revisited", + author = "McKay, Alisdair and Nakamura, Emi and Steinsson, Jón", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 106, + number = 10, + pages = "3133--3158", + abstract = "In recent years, central banks have increasingly turned to + forward guidance as a central tool of monetary policy. Standard + monetary models imply that far future forward guidance has huge + effects on current outcomes, and these effects grow with the + horizon of the forward guidance. We present a model in which the + power of forward guidance is highly sensitive to the assumption + of complete markets. When agents face uninsurable income risk and + borrowing constraints, a precautionary savings effect tempers + their responses to changes in future interest rates. As a + consequence, forward guidance has substantially less power to + stimulate the economy. (JEL E21, E40, E50)", + month = oct, + year = 2016, + language = "en" +} + +@ARTICLE{McKay2021-jw, + title = "Lumpy durable consumption demand and the limited ammunition of + monetary policy", + author = "McKay, Alisdair and Wieland, Johannes F", + journal = "Econometrica", + volume = 89, + number = 6, + pages = "2717--2749", + year = 2021 +} + +@UNPUBLISHED{de-Magalhaes2022-sw, + title = "Transfer Progressivity and Development", + author = "de Magalhães, Leandro and Martorell-Toledano, Enric and + Santaeulàlia-Llopis, Raül", + year = 2022 +} + +@ARTICLE{Laursen1950-jl, + title = "Flexible exchange rates and the theory of employment", + author = "Laursen, Svend and Metzler, Lloyd A", + journal = "Rev. Econ. Stat.", + publisher = "JSTOR", + volume = 32, + number = 4, + pages = 281, + month = nov, + year = 1950 +} + +@ARTICLE{Lane2010-fu, + title = "Financial exchange rates and international currency exposures", + author = "Lane, Philip R and Shambaugh, Jay C", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 100, + number = 1, + pages = "518--540", + abstract = "In order to gain a better empirical understanding of the + international financial implications of currency movements, we + construct a database of international currency exposures for a + large panel of countries over 1990-2004. We show that + trade-weighted exchange rate indices are insufficient to + understand the financial impact of currency movements and that + our currency measures have high explanatory power for the + valuation term in net foreign asset dynamics. Exchange rate + valuation shocks are sizable, not quickly reversed, and may + entail substantial wealth redistributions. Further, we show that + many developing countries have substantially reduced their + negative foreign currency positions over the last decade. (F31, + F32, G15)", + month = mar, + year = 2010, + language = "en" +} + +@ARTICLE{Krugman1978-yz, + title = "Contractionary effects of devaluation", + author = "Krugman, Paul and Taylor, Lance", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 8, + number = 3, + pages = "445--456", + abstract = "A simple model is developed to illustrate a number of + contractionary effects of currency devaluation, some of which + have been noted previously. In a Keynesian model, it is shown + that depreciation can lead to a reduction in national output if + (i) imports initially exceed exports: (ii) there are differences + in consumption propensities from profits and wages; (iii) + government revenues are increased by devaluation, e.g. when there + are significant export taxes. Similar effects are also shown to + exist in monetarist models, via reductions in both real balances + and the nominal money supply. A numerical example illustrates the + results for an economy ‘typical’ of semi-industrialized + countries.", + month = aug, + year = 1978, + language = "en" +} + +@TECHREPORT{Krugman1987-rc, + title = "Adjustment in the World Economy", + author = "Krugman, Paul", + institution = "National Bureau of Economic Research", + year = 1987 +} + +@ARTICLE{Kaplan2018-to, + title = "Monetary policy according to {HANK}", + author = "Kaplan, Greg and Moll, Benjamin and Violante, Giovanni L", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 108, + number = 3, + pages = "697--743", + abstract = "We revisit the transmission mechanism from monetary policy to + household consumption in a Heterogeneous Agent New Keynesian + (HANK) model. The model yields empirically realistic + distributions of wealth and marginal propensities to consume + because of two features: uninsurable income shocks and multiple + assets with different degrees of liquidity and different returns. + In this environment, the indirect effects of an unexpected cut in + interest rates, which operate through a general equilibrium + increase in labor demand, far outweigh direct effects such as + intertemporal substitution. This finding is in stark contrast to + small- and medium-scale Representative Agent New Keynesian (RANK) + economies, where the substitution channel drives virtually all of + the transmission from interest rates to consumption. Failure of + Ricardian equivalence implies that, in HANK models, the fiscal + reaction to the monetary expansion is a key determinant of the + overall size of the macroeconomic response. (JEL D31, E12, E21, + E24, E43, E52, E62)", + month = mar, + year = 2018, + language = "en" +} + +@ARTICLE{Kamin2000-wv, + title = "Output and the real exchange rate in developing countries: An + application to Mexico", + author = "Kamin, Steven B and Rogers, John H", + journal = "J. Dev. Econ.", + volume = 61, + number = 1, + pages = "85--109", + year = 2000 +} + +@ARTICLE{Johnson2006-lq, + title = "Household expenditure and the income tax rebates of 2001", + author = "Johnson, David S and Parker, Jonathan A and Souleles, Nicholas S", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 96, + number = 5, + pages = "1589--1610", + abstract = "Using questions expressly added to the Consumer Expenditure + Survey, we estimate the change in consumption expenditures caused + by the 2001 federal income tax rebates and test the permanent + income hypothesis. We exploit the unique, randomized timing of + rebate receipt across households. Households spent 20 to 40 + percent of their rebates on nondurable goods during the + three-month period in which their rebates arrived, and roughly + two-thirds of their rebates cumulatively during this period and + the subsequent three-month period. The implied effects on + aggregate consumption demand are substantial. Consistent with + liquidity constraints, responses are larger for households with + low liquid wealth or low income.", + month = nov, + year = 2006, + language = "en" +} + +@ARTICLE{Jappelli2014-hg, + title = "Fiscal Policy and {MPC} Heterogeneity", + author = "Jappelli, Tullio and Pistaferri, Luigi", + journal = "Am. Econ. J. Macroecon.", + publisher = "American Economic Association", + volume = 6, + number = 4, + pages = "107--136", + abstract = "We use responses to survey questions in the 2010 Italian Survey + of Household Income and Wealth that ask consumers how much of an + unexpected transitory income change they would consume. We find + that the marginal propensity to consume (MPC) is 48 percent on + average, and that there is substantial heterogeneity in the + distribution. We find that households with low cash-on-hand + exhibit a much lower MPC than affluent households, which is in + agreement with models with precautionary savings where income + risk plays an important role. The results have important + implications for the evaluation of fiscal policy, and for + predicting household responses to tax reforms and redistributive + policies. In particular, we find that a debt-financed increase in + transfers of 1 percent of national disposable income targeted to + the bottom decile of the cash-on-hand distribution would increase + aggregate consumption by 0.82 percent. Furthermore, we find that + redistributing 1\% of national disposable from the top to the + bottom decile of the income distribution would boost aggregate + consumption by 0.1\%.", + month = oct, + year = 2014 +} + +@ARTICLE{Itskhoki2021-ly, + title = "Exchange rate disconnect in general equilibrium", + author = "Itskhoki, Oleg and Mukhin, Dmitry", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 129, + number = 8, + pages = "2183--2232", + month = aug, + year = 2021, + language = "en" +} + +@ARTICLE{Itskhoki2021-lk, + title = "The story of the real exchange rate", + author = "Itskhoki, Oleg", + journal = "Annu. Rev. Econom.", + publisher = "Annual Reviews", + volume = 13, + number = 1, + pages = "423--455", + abstract = "The real exchange rate (RER) measures relative price levels + across countries, capturing deviations from purchasing power + parity (PPP). RER is a key variable in international + macroeconomic models as it is central to equilibrium conditions + in both goods and asset markets. It is also one of the most + starkly behaving variables empirically, tightly comoving with the + nominal exchange rate and virtually uncorrelated with most other + macroeconomic variables, nominal or real. This review lays out an + equilibrium framework of RER determination, focusing separately + on each building block and discussing corresponding empirical + evidence. We emphasize home bias and incomplete pass-through into + prices with expenditure switching and goods market clearing, + imperfect international risk sharing, country budget constraint, + and monetary policy regime. We show that RER is inherently a + general equilibrium variable that depends on the full model + structure and policy regime, and therefore partial theories like + PPP are insufficient to explain it. We also discuss issues of + stationarity and predictability of exchange rates.", + month = aug, + year = 2021, + language = "en" +} + +@ARTICLE{Ilzetzki2019-sj, + title = "Exchange arrangements entering the twenty-first century: Which + anchor will hold?", + author = "Ilzetzki, Ethan and Reinhart, Carmen M and Rogoff, Kenneth S", + journal = "Q. J. Econ.", + publisher = "Oxford University Press (OUP)", + volume = 134, + number = 2, + pages = "599--646", + abstract = "Abstract This article provides a comprehensive history of anchor + or reference currencies, exchange rate arrangements, and a new + measure of foreign exchange restrictions for 194 countries and + territories over 1946–2016. We find that the often cited + post–Bretton Woods transition from fixed to flexible arrangements + is overstated; regimes with limited flexibility remain in the + majority. Even if central bankers’ communications jargon has + evolved considerably in recent decades, it is apparent that many + still place a large implicit weight on the exchange rate. The + U.S. dollar scores as the world's dominant anchor currency by a + very large margin. By some metrics, its use is far wider today + than 70 years ago. In contrast, the global role of the euro + appears to have stalled. We argue that in addition to the usual + safe assets story, the record accumulation of reserves since 2002 + may also have to do with many countries’ desire to stabilize + exchange rates in an environment of markedly reduced exchange + rate restrictions or, more broadly, capital controls: an + important amendment to the conventional portrayal of the + macroeconomic trilemma.", + month = may, + year = 2019, + language = "en" +} + +@BOOK{Hooper2000-gb, + title = "Trade Elasticities for the {G}-7 Countries", + author = "Hooper, Peter and Johnson, Karen H and Marquez, Jaime R", + publisher = "Princeton University", + series = "Princeton Studies in International Economics", + year = 2000 +} + +@ARTICLE{Hong2023-ba, + title = "{MPCs} in an emerging economy: Evidence from Peru", + author = "Hong, Seungki", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 140, + number = 103712, + pages = 103712, + month = jan, + year = 2023, + language = "en" +} + +@ARTICLE{Ruhl2008-tq, + title = "The international elasticity puzzle", + author = "Ruhl, Kim J and {Others}", + publisher = "mimeo", + abstract = "goods—the Armington elasticity—determines the behavior of trade + flows and international prices. International real business cycle + models need low elasticities, in the range of 1 to 2, to", + year = 2008 +} + +@ARTICLE{Mendoza1991-vv, + title = "Real business cycles in a small open economy", + author = "Mendoza, Enrique G", + journal = "Am. Econ. Rev.", + volume = 81, + number = 4, + pages = "797--818", + year = 1991 +} + +@TECHREPORT{Kalemli-Ozcan2019-ad, + title = "{U}.{S}. monetary policy and international risk spillovers", + author = "Kalemli-Özcan, Ṣebnem", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + month = sep, + year = 2019 +} + +@ARTICLE{Heathcote2002-tv, + title = "Financial autarky and international business cycles", + author = "Heathcote, Jonathan and Perri, Fabrizio", + journal = "J. Monet. Econ.", + publisher = "Elsevier BV", + volume = 49, + number = 3, + pages = "601--627", + abstract = "We present a two-country, two-good model in which there do not + exist any markets for international trade in financial assets. We + compare the predictions of this model to those of two other + models, one in which markets are complete and a second in which a + single non-contingent bond is traded. We find that only the + financial autarky model can generate volatility in the terms of + trade similar to that in data for the floating rate period and, + at the same time, account for observed cross-country output, + consumption, investment and employment correlations. We interpret + our findings as evidence that the extent of international + borrowing and lending opportunities is important for the + international business cycle.", + month = apr, + year = 2002, + language = "en" +} + +@ARTICLE{Harberger1950-dy, + title = "Currency depreciation, income, and the balance of trade", + author = "Harberger, Arnold C", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 58, + number = 1, + pages = "47--60", + month = feb, + year = 1950 +} + +@ARTICLE{Guvenen2022-re, + title = "The global repository of income dynamics", + author = "Guvenen, Fatih and Pistaferri, Luigi and Violante, G L", + year = 2022 +} + +@ARTICLE{Guo2023-jr, + title = "Monetary policy and redistribution in open economies", + author = "Guo, Xing and Ottonello, Pablo and Perez, Diego J", + journal = "Journal of Political Economy Macroeconomics", + publisher = "University of Chicago Press", + volume = 1, + number = 1, + pages = "000--000", + month = apr, + year = 2023, + language = "en" +} + +@INCOLLECTION{Gourinchas2007-sp, + title = "From world banker to world venture capitalist: {US} external + adjustment and the exorbitant privilege", + author = "Gourinchas, Pierre-Olivier and Rey, Helene", + booktitle = "G7 current account imbalances: sustainability and adjustment", + publisher = "University of Chicago Press", + pages = "11--66", + abstract = "the world venture capitalist. We find that a nonnegligible + fraction of the exorbitant privilege though the major part of the + exorbitant privilege comes from return differentials between US", + year = 2007 +} + +@ARTICLE{Gourinchas2018-rm, + title = "Monetary policy transmission in emerging markets: an application to + Chile", + author = "Gourinchas, P", + journal = "Research Papers in Economics", + volume = 25, + pages = "279--324", + year = 2018 +} + +@ARTICLE{Gopinath2020-qa, + title = "Dominant currency paradigm", + author = "Gopinath, Gita and Boz, Emine and Casas, Camila and Díez, + Federico J and Gourinchas, Pierre-Olivier and Plagborg-Møller, + Mikkel", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 110, + number = 3, + pages = "677--719", + month = mar, + year = 2020, + language = "en" +} + +@TECHREPORT{Gopinath2015-et, + title = "The international price system", + author = "Gopinath, Gita", + institution = "National Bureau of Economic Research", + abstract = "International Price System” in global trade employing data for + thirty-five developed and developing countries. This price + system Second, international prices, in their currency of + invoicing", + year = 2015 +} + +@ARTICLE{Giagheddu2020-pb, + title = "The distributional implications of fiscal devaluations", + author = "Giagheddu, Marta", + journal = "SSRN Electron. J.", + publisher = "Elsevier BV", + year = 2020, + language = "en" +} + +@ARTICLE{Gali2004-kj, + title = "Monetary policy and exchange rate volatility in a small open + economy", + author = "Galí, Jordi and Monacelli, Tommaso", + journal = "SSRN Electron. J.", + publisher = "Elsevier BV", + volume = 72, + number = 3, + pages = "707--734", + abstract = "We lay out a small open economy version of the Calvo sticky price + model, and show how the equilibrium dynamics can be reduced to + simple representation in domestic inflation and the output gap. + We use the resulting framework to analyze the macroeconomic + implications of three alternative rule-based policy regimes for + the small open economy: domestic inflation and CPI-based Taylor + rules, and an exchange rate peg. We show that a key difference + among these regimes lies in the relative amount of exchange rate + volatility that they entail. We also discuss a special case for + which domestic inflation targeting constitutes the optimal + policy, and where a simple second order approximation to the + utility of the representative consumer can be derived and used to + evaluate the welfare losses associated with the suboptimal rules.", + year = 2004, + language = "en" +} + +@BOOK{Gali2008-tb, + title = "Monetary Policy, Inflation, and the Business Cycle: An + Introduction to the New Keynesian Framework", + author = "Galí, Jordi", + publisher = "Princeton University Press", + address = "Princeton, NJ", + year = 2008 +} + +@ARTICLE{Gabaix2015-rf, + title = "International liquidity and exchange rate dynamics", + author = "Gabaix, Xavier and Maggiori, Matteo", + journal = "Q. J. Econ.", + volume = 130, + number = 3, + pages = "1369--1420", + year = 2015 +} + +@TECHREPORT{Fukui2023-sk, + title = "The macroeconomic consequences of exchange rate depreciations", + author = "Fukui, Masao and Nakamura, Emi and Steinsson, Jón", + publisher = "National Bureau of Economic Research", + address = "Cambridge, MA", + month = may, + year = 2023 +} + +@ARTICLE{Frankel2005-to, + title = "Mundell-Fleming lecture: Contractionary currency crashes in + developing countries", + author = "Frankel, Jeffrey A", + journal = "IMF Staff Pap.", + publisher = "Springer Science and Business Media LLC", + volume = 52, + number = 2, + pages = "149--192", + month = apr, + year = 2005, + language = "en" +} + +@ARTICLE{Fitzgerald2018-ro, + title = "Exporters and shocks", + author = "Fitzgerald, Doireann and Haller, Stefanie", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 113, + pages = "154--171", + abstract = "We use micro data for Ireland to estimate the responses of export + entry, export exit, and the export revenue of incumbent exporters + to changes in tariffs and real exchange rates. Entry and revenue + are much more responsive to tariffs than they are to real + exchange rates. Our estimates translate into an elasticity of + aggregate exports with respect to tariff changes of between −1.5 + and −3.5 on impact, and between −2 and −5 in the long run. + Comparable elasticities for real exchange rate changes are around + 0.5 on impact, and between 0.6 and 0.8 in the long run. These + estimates are consistent with estimates in the literature based + on aggregate data. They provide further evidence that workhorse + models of international trade and business cycles which impose + identical responses must be modified in order to answer policy + questions touching on both international trade and the current + account.", + month = jul, + year = 2018, + language = "en" +} + +@ARTICLE{Feenstra2018-ot, + title = "In search of the Armington elasticity", + author = "Feenstra, Robert C and Luck, Philip and Obstfeld, Maurice and + Russ, Katheryn N", + journal = "Rev. Econ. Stat.", + publisher = "MIT Press", + volume = 100, + number = 1, + pages = "135--150", + year = 2018 +} + +@ARTICLE{Farhi2019-ud, + title = "Monetary policy, bounded rationality, and incomplete markets", + author = "Farhi, Emmanuel and Werning, Iván", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 109, + number = 11, + pages = "3887--3928", + abstract = "This paper extends the benchmark New-Keynesian model by + introducing two frictions: (i) agent heterogeneity with + incomplete markets, uninsurable idiosyncratic risk, and + occasionally-binding borrowing constraints; and (ii) bounded + rationality in the form of level-k thinking. Compared to the + benchmark model, we show that the interaction of these two + frictions leads to a powerful mitigation of the effects of + monetary policy, which is more pronounced at long horizons, and + offers a potential rationalization of the “forward guidance + puzzle.” Each of these frictions, in isolation, would lead to no + or much smaller departures from the benchmark model. (JEL D52, + D81, E12, E52)", + month = nov, + year = 2019, + language = "en" +} + +@ARTICLE{Farhi2017-mk, + title = "Fiscal unions", + author = "Farhi, Emmanuel and Werning, Iván", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 107, + number = 12, + pages = "3788--3834", + abstract = "We study cross-country risk sharing as a second-best problem for + members of a currency union using an open economy model with + nominal rigidities and provide two key results. First, we show + that if financial markets are incomplete, the value of gaining + access to any given level of aggregate risk sharing is greater + for countries that are members of a currency union. Second, we + show that even if financial markets are complete, privately + optimal risk sharing is constrained inefficient. A role emerges + for government intervention in risk sharing both to guarantee its + existence and to influence its operation. The constrained + efficient risk-sharing arrangement can be implemented by + contingent transfers within a fiscal union. We find that the + benefits of such a fiscal union are larger, the more asymmetric + the shocks affecting the members of the currency union, the more + persistent these shocks, and the less open the member economies. + Finally, we compare the performance of fiscal unions and of other + macroeconomic stabilization instruments available in currency + unions such as capital controls, government spending, fiscal + deficits, and redistribution. (JEL E62, F31, F32, F41, F45)", + month = dec, + year = 2017, + language = "en" +} + +@ARTICLE{Fanelli2022-hd, + title = "Corrigendum to: A theory of foreign exchange interventions", + author = "Fanelli, Sebastián and Straub, Ludwig", + journal = "Rev. Econ. Stud.", + publisher = "Oxford University Press (OUP)", + volume = 89, + number = 2, + pages = "1038--1038", + month = mar, + year = 2022, + language = "en" +} + +@ARTICLE{Fagereng2021-eb, + title = "{MPC} heterogeneity and household balance sheets", + author = "Fagereng, Andreas and Holm, Martin B and Natvik, Gisle J", + journal = "Am. Econ. J. Macroecon.", + publisher = "American Economic Association", + volume = 13, + number = 4, + pages = "1--54", + abstract = "We use sizable lottery prizes in Norwegian administrative panel + data to explore how transitory income shocks are spent and saved + over time and how households’ marginal propensities to consume + (MPCs) vary with household characteristics and shock size. We + find that spending peaks in the year of winning and gradually + reverts to normal within five years. Controlling for all items on + households’ balance sheets and characteristics such as education + and income, it is the amount won, age, and liquid assets that + vary systematically with MPCs. Low-liquidity winners of the + smallest prizes (around US$1,500) are estimated to spend all + within the year of winning. The corresponding estimate for + high-liquidity winners of large prizes (US$8, 300–150,000) is + slightly below one-half. While conventional models will struggle + to account for such high MPC levels, we show that a two-asset + life cycle model with a realistic earnings profile and a luxury + bequest motive can account for both the time profile of + consumption responses and their systematic covariation with + observables. (JEL D12, D15, E21, G51, H24)", + month = oct, + year = 2021, + language = "en" +} + +@TECHREPORT{Druedahl2022-dk, + title = "The transmission of foreign demand shocks", + author = "Druedahl, Jeppe and Ravn, Søren Hove and Sunder-Plassmann, + Laura and Sundram, Jacob Marott and Waldstrøm, Nicolai", + institution = "Working paper", + abstract = "Our analysis is complementary: we focus less on inequality and + more on the transmission channels of foreign demand shocks, + including their empirical validation and implications for", + year = 2022 +} + +@TECHREPORT{Drozd2020-zd, + title = "The Trade-Comovement Puzzle", + author = "Drozd, Lukasz A and Kolbin, Sergey and Nosal, Jaromir B", + publisher = "Federal Reserve Bank of Philadelphia", + institution = "Federal Reserve Bank of Philadelphia", + volume = 13, + pages = "78--120", + series = "Working paper (Federal Reserve Bank of Philadelphia)", + month = jan, + year = 2020 +} + +@BOOK{Dornbusch1980-hg, + title = "Open Economy Macroeconomics", + author = "Dornbusch, Rudiger", + publisher = "Basic Books", + address = "London, England", + month = nov, + year = 1980 +} + +@ARTICLE{Doepke2006-rf, + title = "Inflation and the redistribution of nominal wealth", + author = "Doepke, Matthias and Schneider, Martin", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 114, + number = 6, + pages = "1069--1097", + abstract = "This study quantitatively assesses the effects of inflation + through changes in the value of nominal assets. It documents + nominal asset positions in the United States across sectors and + groups of households and estimates the wealth redistribution + caused by a moderate inflation episode. The main losers from + inflation are rich, old households, the major bondholders in the + economy. The main winners are young, middle-class households with + fixed-rate mortgage debt. Besides transferring resources from the + old to the young, inflation is a boon for the government and a + tax on foreigners. Lately, the amount of U.S. nominal assets held + by foreigners has grown dramatically, increasing the potential + for a large inflation-induced wealth transfer from foreigners to + domestic households.", + month = dec, + year = 2006 +} + +@ARTICLE{Diaz-Alejandro1963-zf, + title = "A note on the impact of devaluation and the redistributive effect", + author = "Díaz-Alejandro, Carlos F", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 71, + number = 6, + pages = "577--580", + month = dec, + year = 1963 +} + +@ARTICLE{de-Ferra2020-ai, + title = "Household heterogeneity and the transmission of foreign shocks", + author = "de Ferra, Sergio and Mitman, Kurt and Romei, Federica", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 124, + number = 103303, + pages = 103303, + month = may, + year = 2020, + language = "en" +} + +@UNPUBLISHED{Cugat2022-ux, + title = "Emerging Markets, Household Heterogeneity, and Exchange Rate Policy", + author = "Cugat, Gabriela", + year = 2022 +} + +@ARTICLE{Cravino2016-hl, + title = "The distributional consequences of large devaluations", + author = "Cravino, Javier and Levchenko, Andrei A", + journal = "SSRN Electron. J.", + publisher = "Elsevier BV", + volume = 107, + number = 11, + pages = "3477--3509", + year = 2016, + language = "en" +} + +@ARTICLE{Corsetti2000-zx, + title = "Competitive devaluations: toward a welfare-based approach", + author = "Corsetti, Giancarlo and Pesenti, Paolo and Roubini, Nouriel and + Tille, Cédric", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 51, + number = 1, + pages = "217--241", + abstract = "This paper revisits the international transmission of exchange + rate shocks in a multicountry economy, providing a + choice-theoretic framework for the policy analysis of competitive + devaluations. As opposed to the traditional view, a devaluation + by one country does not necessarily have an adverse + beggar-thy-neighbor effect on its trading partners, because they + can benefit from an improvement in their terms of trade. + Furthermore, a retaliatory devaluation need not be the optimal + strategy for the neighbor countries, as the induced terms of + trade deterioration can be large enough to offset the gains from + defending their export market share.The concern over competitive + devaluations reflected in the Fund's charter, and the system-wide + implications of changes in exchange rates, still motivate Fund + policy recommendations. A major Fund concern in the Asian crisis + has been the fear that Asian currencies would become so + undervalued and current account surpluses so large as to damage + the economies of other countries, developing countries included. + This is one reason the Fund has stressed the need first to + stabilize and then to strengthen exchange rates in the Asian + countries now in crisis — and for this purpose, not to cut + interest rates until the currency stabilizes and begins to + appreciate.", + month = jun, + year = 2000, + language = "en" +} + +@ARTICLE{Corsetti2008-pw, + title = "International risk sharing and the transmission of productivity + shocks", + author = "Corsetti, Giancarlo and Dedola, Luca and Leduc, Sylvain", + journal = "Rev. Econ. Stud.", + volume = 75, + number = 2, + pages = "443--473", + year = 2008 +} + +@ARTICLE{Corsetti2001-dc, + title = "Welfare and macroeconomic interdependence", + author = "Corsetti, G and Pesenti, P", + journal = "Q. J. Econ.", + publisher = "Oxford University Press (OUP)", + volume = 116, + number = 2, + pages = "421--445", + abstract = "The paper develops a simple choice-theoretic model suitable for + carrying out welfare`` analyses of the international transmission + of monetary and fiscal policies. The model can be'' solved in + closed form and illustrated in terms of the simplest graphical + apparatus provide the analysis of macroeconomic interdependence, + structural spillovers strategic complementarities with rigorous + but intuitive micro-foundations. In contrast with the`` + traditional literature, our findings emphasize the positive + externalities of foreign monetary'' expansions and foreign fiscal + contractions on domestic welfare, while highlighting the`` + ambiguous welfare effects of domestic policy shocks.", + month = may, + year = 2001, + language = "en" +} + +@ARTICLE{Cole1991-pn, + title = "Commodity trade and international risk sharing", + author = "Cole, Harold L and Obstfeld, Maurice", + journal = "J. Monet. Econ.", + publisher = "Elsevier BV", + volume = 28, + number = 1, + pages = "3--24", + abstract = "This paper evaluates the social gains from international risk + sharing in some simple general-equilibrium models with output + uncertainty. A simulation model calibrated to selected moments of + U.S. and Japanese data estimates the incremental loss from a ban + on international portfolio diversification to be on the order of + 0.20 percent of output per year. Even the theoretical gains from + asset trade may disappear under alternative sets of assumptions + on preferences and technology. The paper argues that the small + magnitude of potential trade gains may help explain the + apparently inconsistent findings of empirical studies on the + degree of international capital mobility.", + month = aug, + year = 1991, + language = "en" +} + +@ARTICLE{Clarida2002-gd, + title = "A simple framework for international monetary policy analysis", + author = "Clarida, Richard and Galı́, Jordi and Gertler, Mark", + journal = "J. Monet. Econ.", + publisher = "Elsevier BV", + volume = 49, + number = 5, + pages = "879--904", + abstract = "We study the international monetary policy design problem within + an optimizing two-country sticky price model, where each country + faces a short run tradeoff between output and inflation. The + model is sufficiently tractable to solve analytically. We find + that in the Nash equilibrium, the policy problem for each central + bank is isomorphic to the one it would face if it were a closed + economy. Gains from cooperation arise, however, that stem from + the impact of foreign economic activity on the domestic marginal + cost of production. While under Nash central banks need only + adjust the interest rate in response to domestic inflation, under + cooperation they should respond to foreign inflation as well. In + either scenario, flexible exchange rates are desirable.", + month = jul, + year = 2002, + language = "en" +} + +@ARTICLE{Clarida2000-zr, + title = "Monetary Policy Rules and Macroeconomic Stability: Evidence and + Some Theory", + author = "Clarida, Richard and Galí, Jordi and Gertler, Mark", + journal = "Q. J. Econ.", + volume = 115, + number = 1, + pages = "147--180", + year = 2000 +} + +@ARTICLE{Cespedes2004-tg, + title = "Balance sheets and exchange rate policy", + author = "Céspedes, Luis Felipe and Chang, Roberto and Velasco, Andrés", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 94, + number = 4, + pages = "1183--1193", + abstract = "We study the relation among exchange rates, balance sheets, and + macroeconomic outcomes in a small open economy. Because + liabilities are dollarized,' a real devaluation has detrimental + effects on entreprenurial net worth, which in turn constrains + investment due to financial frictions. But there is an offsetting + effect, int hat devaluation expands home output and the return to + domestic investment, which are also components of net worth. We + show that the impact of an adverse foreign shock can be strongly + magnified by the balance sheet effect of the associated real + devaluation. But the fall in output employment, and investment is + stronger under fixed exchange rates than under flexible rates. + Hence the conventional wisdom, that flexible exchange rates are + better absorbers of real foreign shocks than are fixed rates, + holds in spite of potentially large balance sheet effects.", + month = sep, + year = 2004, + language = "en" +} + +@ARTICLE{Cavallo2021-jt, + title = "Tariff passthrough at the border and at the store: Evidence from + {US} trade policy", + author = "Cavallo, Alberto and Gopinath, Gita and Neiman, Brent and Hnilo, + Florencia and Barnatchez, Keith and Xu, Menglu and Ospital, Augusto", + journal = "Am. Econ. Rev. Insights", + volume = 3, + number = 1, + pages = "19--34", + year = 2021 +} + +@ARTICLE{Carroll2020-up, + title = "On the heterogeneous welfare gains and losses from trade", + author = "Carroll, Daniel R and Hur, Sewon", + journal = "J. Monet. Econ.", + publisher = "Elsevier BV", + volume = 109, + pages = "1--16", + month = jan, + year = 2020, + language = "en" +} + +@ARTICLE{Caliendo2015-je, + title = "Estimates of the trade and welfare effects of {NAFTA}", + author = "Caliendo, Lorenzo and Parro, Fernando", + journal = "Rev. Econ. Stud.", + volume = 82, + number = 1, + pages = "1--44", + year = 2015 +} + +@TECHREPORT{Caballero2020-ra, + title = "A model of endogenous risk intolerance and {LSAPs}: Asset + prices and aggregate demand in a “covid-19” shock", + author = "Caballero, Ricardo and Simsek, Alp", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + volume = 34, + pages = "5522--5580", + month = apr, + year = 2020 +} + +@ARTICLE{Burstein2005-np, + title = "Large devaluations and the real exchange rate", + author = "Burstein, Ariel and Eichenbaum, Martin and Rebelo, Sergio", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 113, + number = 4, + pages = "742--784", + month = aug, + year = 2005 +} + +@INCOLLECTION{Burstein2014-eq, + title = "International Prices and Exchange Rates", + author = "Burstein, Ariel and Gopinath, Gita", + editor = "Helpman, Elhanan and Rogoff, Kenneth and Gopinath, Gita", + booktitle = "Handbook of International Economics", + publisher = "Elsevier", + volume = 4, + pages = "391--451", + series = "Handbook of International Economics", + year = 2014 +} + +@ARTICLE{Broer2020-jk, + title = "The new Keynesian transmission mechanism: A heterogeneous-agent + perspective", + author = "Broer, Tobias and Hansen, Niels-Jakob Harbo and Krusell, Per and + Öberg, Erik", + journal = "Rev. Econ. Stud.", + volume = 87, + number = 1, + pages = "77--101", + year = 2020 +} + +@ARTICLE{Boz2022-gm, + title = "Patterns of invoicing currency in global trade: New evidence", + author = "Boz, Emine and Casas, Camila and Georgiadis, Georgios and + Gopinath, Gita and Le Mezo, Helena and Mehl, Arnaud and Nguyen, + Tra", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 136, + number = 103604, + pages = 103604, + month = may, + year = 2022, + language = "en" +} + +@TECHREPORT{Borusyak2021-ad, + title = "The distributional effects of trade: Theory and evidence from + the United States", + author = "Borusyak, Kirill and Jaravel, Xavier", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + month = jun, + year = 2021 +} + +@ARTICLE{Boppart2018-ua, + title = "Exploiting {MIT} shocks in heterogeneous-agent economies: the + impulse response as a numerical derivative", + author = "Boppart, Timo and Krusell, Per and Mitman, Kurt", + journal = "J. Econ. Dyn. Control", + publisher = "Elsevier BV", + volume = 89, + pages = "68--92", + abstract = "We propose a new method for computing equilibria in + heterogeneous-agent models with aggregate uncertainty. The idea + relies on an assumption that linearization offers a good + approximation; we share this assumption with existing + linearization methods. However, unlike those methods, the + approach here does not rely on direct derivation of first-order + Taylor terms. It also does not use recursive methods, whereby + aggregates and prices would be expressed as linear functions of + the state, usually a very high-dimensional object (such as the + wealth distribution). Rather, we rely merely on solving + nonlinearly for a deterministic transition path: we study the + equilibrium response to a single, small “MIT shock” carefully. We + then regard this impulse response path as a numerical derivative + in sequence space and hence provide our linearized solution + directly using this path. The method can easily be extended to + the case of many shocks and computation time rises linearly in + the number of shocks. We also propose a set of checks on whether + linearization is a good approximation. We assert that our method + is the simplest and most transparent linearization technique + among currently known methods. The key numerical tool required to + implement it is value-function iteration, using a very limited + set of state variables.This article is part of a Special Issue + entitled “Fiscal and Monetary Policies”.", + month = apr, + year = 2018, + language = "en" +} + +@ARTICLE{Boehm2023-cc, + title = "The long and Short (Run) of trade elasticities", + author = "Boehm, Christoph E and Levchenko, Andrei A and Pandalai-Nayar, + Nitya", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 113, + number = 4, + pages = "861--905", + abstract = "When countries change most favored nation (MFN) tariffs, partners + that trade on MFN terms experience plausibly exogenous tariff + changes. Using this variation, we estimate the trade elasticity + at short and long horizons with local projections. We find that + the elasticity of tariff-exclusive trade flows is −0.76 in the + short run, and approximately −2 in the long run. Our long-run + estimates are smaller than typical in the literature, and it + takes 7 to10 years to converge to the long run, implying that (i) + the welfare gains from trade are high and (ii) there are + substantial convexities in the costs of adjusting exports. (JEL + C51, F13, F14)", + month = apr, + year = 2023, + language = "en" +} + +@UNPUBLISHED{Bianchi2023-zm, + title = "Liquidity Traps, Prudential Policies and International Spillovers", + author = "Bianchi, Javier and Coulibaly, Louphou", + year = 2023 +} + +@INCOLLECTION{Bianchi2022-hf, + title = "The prudential use of capital controls and foreign currency + reserves", + author = "Bianchi, Javier and Lorenzoni, Guido", + editor = "Gopinath, Gita and Helpman, Elhanan and Rogoff, Kenneth", + booktitle = "Handbook of International Economics", + publisher = "Elsevier", + volume = 6, + pages = "237--289", + series = "Handbook of International Economics", + year = 2022, + language = "en" +} + +@TECHREPORT{Bhandari2023-wu, + title = "A perturbational approach for approximating heterogeneous agent + models", + author = "Bhandari, Anmol and Bourany, Thomas and Evans, David and Golosov, + Mikhail", + publisher = "National Bureau of Economic Research", + address = "Cambridge, MA", + month = sep, + year = 2023 +} + +@TECHREPORT{Juvenal2019-by, + title = "Cross-border currency exposures. New evidence based on an + enhanced and updated dataset", + author = "Juvenal, Luciana and Gautam, Deepali and Bénétrix, Agustín and + Schmitz, Martin", + institution = "Technical report, IMF Working Paper 19/299), https://www. imf. + org/en …", + abstract = "Cross-Border Currency Exposures. New evidence based on an + enhanced and updated dataset IMF Working Papers describe + research in progress by the author(s) and are published", + year = 2019 +} + +@ARTICLE{Bems2016-us, + title = "Income-induced expenditure switching", + author = "Bems, Rudolfs and di Giovanni, Julian", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 106, + number = 12, + pages = "3898--3931", + abstract = "This paper shows that an income effect can drive expenditure + switching between domestic and imported goods. We use a unique + Latvian scanner-level dataset, covering the 2008–2009 crisis, to + document several empirical findings. First, expenditure switching + accounted for one-third of the fall in imports, and took place + within narrowly defined product groups. Second, there was no + corresponding within-group change in relative prices. Third, + consumers substituted from expensive imports to cheaper domestic + alternatives. These findings motivate us to estimate a model of + nonhomothetic consumer demand, which explains two-thirds of the + observed expenditure switching. Estimated switching is driven by + income, not changes in relative prices. (JEL E21, F14, F31, F32, + I11, L81)", + month = dec, + year = 2016, + language = "en" +} + +@TECHREPORT{Baxter1994-mu, + title = "Business cycles and the asset structure of foreign trade", + author = "Baxter, Marianne and Crucini, Mario", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + volume = 36, + pages = "821--854", + abstract = "the international transmission of business cycles, asset trade + and provides a detailed analysis of the channels through which + these financial linkages affect international business cycles", + month = dec, + year = 1994 +} + +@ARTICLE{Barbiero2020-ba, + title = "The valuation effects of trade", + author = "Barbiero, Omar", + journal = "SSRN Electron. J.", + publisher = "Elsevier BV", + year = 2020, + language = "en" +} + +@ARTICLE{Baldwin1989-bw, + title = "Persistent trade effects of large exchange rate shocks", + author = "Baldwin, Richard and Krugman, Paul", + journal = "Q. J. Econ.", + publisher = "Oxford University Press (OUP)", + volume = 104, + number = 4, + pages = 635, + month = nov, + year = 1989 +} + +@ARTICLE{Backus1994-fn, + title = "Dynamics of the Trade Balance and the Terms of Trade: The + {J}-Curve?", + author = "Backus, David K and Kehoe, Patrick J and Kydland, Finn E", + journal = "Am. Econ. Rev.", + volume = 84, + number = 1, + pages = "84--103", + year = 1994 +} + +@ARTICLE{Auer2019-zy, + title = "Exports and invoicing: Evidence from the 2015 Swiss franc + appreciation", + author = "Auer, Raphael and Burstein, Ariel and Erhardt, Katharina and + Lein, Sarah M", + journal = "AEA Pap. Proc.", + publisher = "American Economic Association", + volume = 109, + pages = "533--538", + abstract = "Do differences in border price adjustment by currency of + invoicing carry over to allocations? We document the + cross-industry variation in the response of Swiss export prices + and export values by currency of invoicing of border prices in + the aftermath of the large and abrupt Swiss franc (CHF) + appreciation in January 2015. Industries with higher + CHF-invoicing shares (and a larger increase in foreign-currency + denominated prices) experienced substantially weaker export + growth in the two-year period after January 2015.", + month = may, + year = 2019, + language = "en" +} + +@ARTICLE{Auer2021-wj, + title = "Exchange Rates and Prices: Evidence from the 2015 Swiss Franc + Appreciation", + author = "Auer, Raphael and Burstein, Ariel and Lein, Sarah M", + journal = "Am. Econ. Rev.", + volume = 111, + number = 2, + pages = "652--686", + year = 2021 +} + +@ARTICLE{Rigato2024-li, + title = "New pricing models, same old Phillips curves?", + author = "Rigato, Rodolfo and Rognlie, Matthew and Straub, Ludwig", + journal = "Q. J. Econ.", + volume = 139, + number = 1, + pages = "121--186", + year = 2024 +} + +@UNPUBLISHED{Auclert2024-vf, + title = "When do Endogenous Portfolios Matter for {HANK}?", + author = "Auclert, Adrien and Rognlie, Matthew and Straub, Ludwig and Tapák, + Tomáš", + year = 2024 +} + +@ARTICLE{Auclert2024-wc, + title = "The intertemporal Keynesian cross", + author = "Auclert, Adrien and Rognlie, Matthew and Straub, Ludwig", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 132, + number = 12, + pages = "4068--4121", + month = dec, + year = 2024, + language = "en" +} + +@TECHREPORT{Auclert2020-xk, + title = "Micro jumps, macro humps: Monetary policy and business cycles + in an estimated {HANK} model", + author = "Auclert, Adrien and Rognlie, Matthew and Straub, Ludwig", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + month = jan, + year = 2020 +} + +@ARTICLE{Auclert2021-jz, + title = "Using the Sequence-Space Jacobian to Solve and Estimate + Heterogeneous-Agent Models", + author = "Auclert, Adrien and Bardóczy, Bence and Rognlie, Matthew and + Straub, Ludwig", + journal = "Econometrica", + volume = 89, + number = 5, + pages = "2375--2408", + year = 2021 +} + +@ARTICLE{Auclert2023-wk, + title = "{MPCs}, {MPEs}, and multipliers: A trilemma for New Keynesian + models", + author = "Auclert, Adrien and Bardóczy, Bence and Rognlie, Matthew", + journal = "Rev. Econ. Stat.", + publisher = "MIT Press", + volume = 105, + number = 3, + pages = "700--712", + abstract = "Abstract We show that New Keynesian models with frictionless + labor supply face a challenge: given standard parameters, they + cannot simultaneously match plausible estimates of marginal + propensities to consume (MPCs), marginal propensities to earn + (MPEs), and fiscal multipliers. A HANK model with sticky wages + provides a solution to this trilemma.", + month = may, + year = 2023, + language = "en" +} + +@ARTICLE{Auclert2019-js, + title = "Monetary policy and the redistribution channel", + author = "Auclert, Adrien", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 109, + number = 6, + pages = "2333--2367", + abstract = "This paper evaluates the role of redistribution in the + transmission mechanism of monetary policy to consumption. Three + channels affect aggregate spending when winners and losers have + different marginal propensities to consume: an earnings + heterogeneity channel from unequal income gains, a Fisher channel + from unexpected inflation, and an interest rate exposure channel + from real interest rate changes. Sufficient statistics from + Italian and US data suggest that all three channels are likely to + amplify the effects of monetary policy. (JEL E21, E31, E43, E52)", + month = jun, + year = 2019, + language = "en" +} + +@ARTICLE{Kortum2011-el, + title = "Staggered adjustment and trade dynamics", + author = "Kortum, Samuel and Eaton, J and Arkolakis, Costas", + journal = "Res. Pap. Econ. Fin.", + year = 2011 +} + +@ARTICLE{An2014-qq, + title = "Is devaluation expansionary or contractionary: Evidence based on + vector autoregression with sign restrictions", + author = "An, Lian and Kim, Gil and Ren, Xiaomei", + journal = "J. Asian Econ.", + publisher = "Elsevier BV", + volume = 34, + pages = "27--41", + abstract = "The purpose of the paper is to examine the impact of real + exchange rate changes – real devaluation or real depreciation – + on outputs in 16 countries that fall within one of the three + groups: Latin American countries, Asian countries, and non-G3 + developed countries. For the first time in the contractionary + devaluation literature, the analysis is based on a Vector + Autoregression (VAR) model with sign restrictions method by Uhlig + (2005) and Fry and Pagan (2011). The exchange rate shock is + identified by imposing restrictions on the signs of impulse + responses for a small subset of variables. The findings are as + follows: (1) whether output increases after a real devaluation or + not has little to do with whether the current account improves or + not; (2) Latin American countries are quite homogenous in that + the current account generally improves while output decreases + after real devaluation; and (3) contractionary devaluation could + happen in developed countries as well as in developing countries.", + month = oct, + year = 2014, + language = "en" +} + +@ARTICLE{Amiti2022-gu, + title = "Dominant currencies: How firms choose currency invoicing and why it + matters", + author = "Amiti, M and Itskhoki, O and Konings, J", + journal = "Q. J. Econ.", + volume = 137, + number = 3, + pages = "1435--1493", + year = 2022 +} + +@ARTICLE{Alvarez2009-lc, + title = "Time-varying risk, interest rates, and exchange rates in general + equilibrium", + author = "Alvarez, Fernando and Atkeson, Andrew and Kehoe, Patrick J", + journal = "Rev. Econ. Stud.", + publisher = "Wiley-Blackwell", + volume = 76, + number = 3, + pages = "851--878", + year = 2009 +} + +@TECHREPORT{Alessandria2020-ey, + title = "Firm dynamics and trade", + author = "Alessandria, George and Arkolakis, Costas and Ruhl, Kim", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + volume = 13, + pages = "253--280", + month = oct, + year = 2020 +} + +@ARTICLE{Alessandria2021-bm, + title = "The dynamics of the {U}.{S}. trade balance and real exchange + rate: The {J} curve and trade costs?", + author = "Alessandria, George and Choi, Horag", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 132, + number = 103511, + pages = 103511, + month = sep, + year = 2021, + language = "en" +} + +@ARTICLE{Aghion2004-lf, + title = "A corporate balance-sheet approach to currency crises", + author = "Aghion, Philippe and Bacchetta, Philippe and Banerjee, Abhijit", + journal = "J. Econ. Theory", + publisher = "Elsevier BV", + volume = 119, + number = 1, + pages = "6--30", + abstract = "This paper presents a general equilibrium currency crisis model + of the ‘third generation’, in which the possibility of currency + crises is driven by the interplay between private firms’ + credit-constraints and nominal price rigidities. Despite our + emphasis on microfoundations, the model remains sufficiently + simple that the policy analysis can be conducted graphically. The + analysis hinges on four main features (i) ex post deviations from + purchasing power parity; (ii) credit constraints a la + Bernanke–Gertler; (iii) foreign currency borrowing by domestic + firms; (iv) a competitive banking sector lending to firms and + holding reserves and a monetary policy conducted either through + open market operations or short-term lending facilities. We + derive sufficient conditions for the existence of a sunspot + equilibrium with currency crises. We show that an interest rate + increase intended to support the currency in a crisis may not be + effective, but that a relaxation of short-term lending facilities + can make this policy effective by attenuating the rise in + interest rates relevant to firms.", + month = nov, + year = 2004, + language = "en" +} + +@ARTICLE{Aggarwal2023-jd, + title = "Excess savings and twin deficits: The transmission of fiscal + stimulus in open economies", + author = "Aggarwal, Rishabh and Auclert, Adrien and Rognlie, Matthew and + Straub, Ludwig", + journal = "NBER Macroecon. Annu.", + publisher = "University of Chicago Press", + volume = 37, + pages = "325--412", + month = may, + year = 2023, + language = "en" +} + +@ARTICLE{Gertler2007-gb, + title = "External constraints on monetary policy and the financial + accelerator", + author = "Gertler, Mark and Gilchrist, Simon and Natalucci, Fabio M", + journal = "J. Money Credit Bank.", + publisher = "Wiley", + volume = 39, + number = "2-3", + pages = "295--330", + abstract = "We develop a small open economy macroeconomic model where + financial conditions influence aggregate behavior. Our goal is to + explore the connection between the exchange rate regime and + financial distress. We first show that a calibrated version of + the model captures well the behavior of the Korean economy during + its financial crisis period of 1997–98. In particular, the model + accounts for the sharp increase in lending rates and the large + drop in output, employment, investment, and measured + productivity. The financial market frictions play an important + role, further, explaining roughly half the decline in overall + economic activity. We then perform some counterfactual exercises + to illustrate how the fixed exchange rate regime likely + exacerbated the crisis by tying the hands of monetary policy.", + month = mar, + year = 2007, + language = "en" +} + +@INCOLLECTION{Farhi2016-kf, + title = "Fiscal multipliers", + author = "Farhi, E and Werning, I", + editor = "Uhlig, Harald and Taylor, John B", + booktitle = "Handbook of Macroeconomics", + publisher = "Elsevier", + volume = 2, + pages = "2417--2492", + series = "Handbook of Macroeconomics", + year = 2016, + language = "en" +} + +@ARTICLE{Drozd2012-cm, + title = "Understanding international prices: Customers as capital", + author = "Drozd, Lukasz A and Nosal, Jaromir B", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 102, + number = 1, + pages = "364--395", + abstract = "The article develops a new theory of pricing to market driven by + dynamic frictions of building market shares. Our key innovation + is a capital theoretic model of marketing in which relations with + customers are valuable. We discipline the introduced friction + using data on differences between short-run and long-run price + elasticity of international trade flows. We show that the model + accounts for several pricing “puzzles” of international + macroeconomics. (JEL E13, F14, F31, F41, F44, M31)", + month = feb, + year = 2012, + language = "en" +} + +@ARTICLE{Campa2005-ow, + title = "Exchange rate pass-through into import prices", + author = "Campa, José Manuel and Goldberg, Linda S", + journal = "Rev. Econ. Stat.", + publisher = "MIT Press - Journals", + volume = 87, + number = 4, + pages = "679--690", + month = nov, + year = 2005, + language = "en" +} + +@TECHREPORT{Blanco2024-kz, + title = "Nominal Devaluations, Inflation and Inequality", + author = "Blanco, Andrés and Drenik, Andrés and Zaratiegui, Emilio", + institution = "National Bureau of Economic Research", + year = 2024 +} + +@TECHREPORT{Baldwin1988-wi, + title = "Hysteresis in import prices: The beachhead effect", + author = "Baldwin, Richard", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + volume = 78, + number = 2545, + pages = "773--785", + abstract = "International economists typically assume that temporary real + exchange rate shocks can have only temporary real effects -and + no effect at all on the underlying structure of the economy. + This paper shows that even in a simple ``off-the-shelf'' + industrial organization model, this assumption is unfounded; if + market-entry costs are sunk, exchange rate shocks can alter + domestic market structure and thereby have lasting real + effects. In other words, a sufficiently large exchange rate + shock can cause hysteresis in import prices and quantities. + This simple idea has strong implications for exchange rate + theory (Baldwin and Krugman 1986 shows this), for trade policy + (Dixit 1987a discusses this), and for the estimation of trade + equations as the present paper shows. To show that the + theoretical point is not just empirically empty theorizing, we + present evidence which suggests that the recent dollar + overvaluation is an example of a hysteresis-inducing shock. To + this end we demonstrate that the pass-through relationship + shifted in a manner that 13 consistent with the nature and + timing of the market structure changes predicted by the model. + In particular, we find evidence that the structural break + occurred during the rising dollar phase rather than In 1985 as + is commonly asserted. A direct test of the model is not + performed due to data limitations.", + series = "Working Paper Series", + month = mar, + year = 1988 +} + +@TECHREPORT{Auclert2018-zw, + title = "Inequality and aggregate demand", + author = "Auclert, Adrien and Rognlie, Matthew", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + abstract = "We explore the quantitative effects of transitory and + persistent increases in income inequality on equilibrium + interest rates and output. Our starting point is a + Bewley-Huggett-Aiyagari model featuring rich heterogeneity and + earnings dynamics as well as downward nominal wage rigidities. + A temporary rise in inequality, if not accommodated by monetary + policy, has an immediate effect on output that can be + quantified using the empirical covariance between income and + marginal propensities to consume. A permanent rise in + inequality can lead to a permanent Keynesian recession, which + is not fully offset by monetary policy due to a lower bound on + interest rates. We show that the magnitude of the real interest + rate fall and the severity of the steady-state slump can be + approximated by simple formulas involving quantifiable + elasticities and shares, together with two parameters that + summarize the effect of idiosyncratic uncertainty and real + interest rates on aggregate savings. For plausible + parametrizations the rise in inequality can push the economy + into a liquidity trap and create a deep recession. Capital + investment and deficit-financed fiscal policy mitigate the fall + in real interest rates and the severity of the slump.", + month = feb, + year = 2018 +} + +@TECHREPORT{Cooper1968-qp, + title = "Devaluation and Aggregate Demand", + author = "Cooper, Richard", + institution = "Center Discussion Paper", + abstract = "Bd may be negative, implying a reduction in aggregate money + demand in the devaluing - a condition usually met in devaluing + countries, Most analysis of devaluation has neglected this", + year = 1968 +} diff --git a/models/We-Would-Like-In-Econ-ARK/OpenHA/self.bib b/models/We-Would-Like-In-Econ-ARK/OpenHA/self.bib new file mode 100644 index 00000000..fb5afc35 --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/OpenHA/self.bib @@ -0,0 +1,10 @@ +@ARTICLE{Auclert2021-ki, + title = "Exchange rates and monetary policy with heterogeneous agents: + Sizing up the real income channel", + author = "Auclert, Adrien and Rognlie, Matthew and Souchier, Martin and + Straub, Ludwig", + journal = "SSRN Electron. J.", + publisher = "Elsevier BV", + year = 2021, + language = "en" +} diff --git a/models/We-Would-Like-In-Econ-ARK/OpenHA/subsequent-literature.bib b/models/We-Would-Like-In-Econ-ARK/OpenHA/subsequent-literature.bib new file mode 100644 index 00000000..2ad222a9 --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/OpenHA/subsequent-literature.bib @@ -0,0 +1,373 @@ +% Exported from Litmaps (https://www.litmaps.com) + +@article{open_zhou_2021, + title = {Open Economy, Redistribution, and the Aggregate Impact of External Shocks}, + doi = {10.2139/ssrn.3902121}, + author = {Zhou, Hao}, + journal = {SSRN Electronic Journal}, + year = {2021}, + litmapsId = {155623852} +} + + +@article{real_campos_2023, + title = {The real income channel and contractionary devaluations in a heterogeneous agent model for Latin America}, + doi = {10.53479/30030}, + author = {Campos, Rodolfo and Paz, Peter}, + journal = {The Economic Bulletin}, + year = {2023}, + litmapsId = {261818038} +} + + +@article{devaluations_ferrante_2022, + title = {Devaluations, Deposit Dollarization, and Household Heterogeneity}, + doi = {10.17016/ifdp.2022.1336}, + author = {Ferrante, F. and Gornemann, Nils}, + journal = {International Finance Discussion Paper}, + year = {2022}, + litmapsId = {54457504} +} + + +@article{monetary_nuo_2025, + title = {Monetary policy with persistent supply shocks}, + doi = {10.53479/40165}, + author = {Nuño, Galo and Renner, Philipp and Scheidegger, Simon}, + journal = {Documento de trabajo}, + year = {2025}, + litmapsId = {288203356} +} + + +@article{dsge_polbin_2022, + title = {DSGE models with heterogeneous economic agents: A new notion at the characteristics of the functioning of the economy}, + doi = {10.32609/0042-8736-2022-9-53-72}, + author = {Polbin, Andrey and Fokin, N. D. and Polbin, Andrey and Fokin, N. D.}, + journal = {Voprosy Ekonomiki}, + year = {2022}, + litmapsId = {235844148} +} + + +@article{purchase_boitier_2022, + title = {Purchase Obligations and Hedging*}, + author = {Boitier, Alvaro}, + year = {2022}, + litmapsId = {250053842} +} + + +@article{hankmmlmath_bayer_2024, + title = {A HANK2 model of monetary unions}, + doi = {10.1016/j.jmoneco.2024.103579}, + author = {Bayer, Christian and Kriwoluzky, Alexander and Ga, Müller and Seyrich, Fabian}, + journal = {Journal of monetary economics (Print)}, + year = {2024}, + litmapsId = {270917476} +} + + +@article{interest_wolf_2024, + title = {Interest Rate Cuts vs. Stimulus Payments: An Equivalence Result}, + doi = {10.1086/734096}, + author = {Wolf, Christian K.}, + journal = {Journal of Political Economy}, + year = {2024}, + litmapsId = {281561165} +} + + +@article{prudential_bianchi_2021, + title = {The Prudential Use of Capital Controls and Foreign Currency Reserves}, + doi = {10.21034/wp.787}, + author = {Bianchi, Javier and Lorenzoni, G.}, + journal = {Social Science Research Network}, + year = {2021}, + litmapsId = {281180715} +} + + +@article{monetary_deleo_2022, + title = {Monetary Policy Cyclicality in Emerging Economies}, + doi = {10.3386/w30458}, + author = {Leo, Pierre De and Gopinath, G. and Kalemli-Özcan, Ṣebnem}, + journal = {Social Science Research Network}, + year = {2022}, + litmapsId = {252069564} +} + + +@article{sanctions_itskhoki_2022, + title = {Sanctions and the Exchange Rate}, + doi = {10.1007/s10272-022-1050-9}, + author = {Itskhoki, Oleg and Mukhin, D.}, + journal = {Intereconomics. Review of European Economic Policy}, + year = {2022}, + litmapsId = {277820190} +} + + +@article{spillovers_acharya_2024, + title = {Spillovers and Spillbacks}, + doi = {10.2139/ssrn.4762952}, + author = {Acharya, Sushant and Pesenti, Paolo A.}, + journal = {Social Science Research Network}, + year = {2024}, + litmapsId = {270744693} +} + + +@article{tank_camara_2022, + title = {TANK meets Diaz-Alejandro: Household heterogeneity, non-homothetic preferences&policy design}, + author = {Camara, Santiago}, + year = {2022}, + litmapsId = {240710056} +} + + +@article{twocountry_yang_2023, + title = {Two-Country HANK and trade friction}, + doi = {10.1371/journal.pone.0288976}, + author = {Yang, Yujie and Zhang, Chenxing and Hou, Wenwen}, + journal = {PLoS ONE}, + year = {2023}, + litmapsId = {264839459} +} + + +@article{mpcs_hong_2022, + title = {MPCs in an emerging economy: Evidence from Peru}, + doi = {10.1016/j.jinteco.2022.103712}, + author = {Hong, Seung-je}, + journal = {Journal of International Economics}, + year = {2022}, + litmapsId = {250701305} +} + + +@article{macroeconomic_domnguezdaz_2025, + title = {The macroeconomic effects of unemployment insurance extensions: A policy rule-based identification approach}, + doi = {10.53479/39665}, + author = {Domínguez-Díaz, Rubén and Zhang, Donghai}, + journal = {Documento de trabajo}, + year = {2025}, + litmapsId = {286807841} +} + + +@article{optimal_mckay_2022, + title = {Optimal Policy Rules in HANK}, + author = {McKay, A. and Wolf, Christian K.}, + year = {2022}, + litmapsId = {263461850} +} + + +@article{consumer_bruhin_2025, + title = {Consumer spending in Switzerland: insights from a novel transactional data index}, + doi = {10.1186/s41937-025-00146-5}, + author = {Bruhin, Jonas and Fengler, Matthias R. and Koeniger, Winfried and Rohrkemper, Robert}, + journal = {Zeitschrift für schweizerische Statistik und Volkswirtschaft/Schweizerische Zeitschrift für Volkswirtschaft und Statistik/Swiss journal of economics and statistics}, + year = {2025}, + litmapsId = {296445725} +} + + +@article{global_georgiadis_2024, + title = {Global Risk and the Dollar}, + doi = {10.2139/ssrn.3988519}, + author = {Georgiadis, Georgios P. and Müller, Gernot and Schumann, B.}, + journal = {Social Science Research Network}, + year = {2024}, + litmapsId = {213809436} +} + + +@article{navigating_campos_2024, + title = {Navigating by Falling Stars: Monetary Policy with Fiscally Driven Natural Rates}, + doi = {10.2139/ssrn.4754764}, + author = {Campos, Rodolfo G. and Fernández-Villaverde, Jesús and Nũno, Galo and Paz, Peter}, + journal = {Social Science Research Network}, + year = {2024}, + litmapsId = {270317335} +} + + +@article{quantitative_kyriazis_2023, + title = {Quantitative Easing Spillovers}, + doi = {10.2139/ssrn.4499714}, + author = {Kyriazis, Antzelos}, + journal = {Social Science Research Network}, + year = {2023}, + litmapsId = {263389971} +} + + +@article{exposed_hottman_2023, + title = {Who's Most Exposed to International Shocks? Estimating Differences in Import Price Sensitivity across U.S. Demographic Groups}, + doi = {10.17016/ifdp.2023.1380}, + author = {Hottman, Colin J. and Monarch, Ryan}, + journal = {International Finance Discussion Paper}, + year = {2023}, + litmapsId = {265847663} +} + + +@article{managing_auclert_2023, + title = {Managing an Energy Shock: Fiscal and Monetary Policy}, + doi = {10.3386/w31543}, + author = {Auclert, Adrien and Monnery, Hugo and Rognlie, M. and Straub, Ludwig}, + journal = {Social Science Research Network}, + year = {2023}, + litmapsId = {263545254} +} + + +@article{transmission_camara_2022, + title = {The Transmission of US Monetary Policy Shocks: The Role of Investment&Financial Heterogeneity}, + author = {Camara, Santiago and Venegas, S.}, + year = {2022}, + litmapsId = {249791732} +} + + +@article{monetary_signe_2026, + title = {Monetary Policy with Heterogeneous Agents in Developing Countries : The Case of CEMAC Zone}, + doi = {10.1007/s10614-026-11331-w}, + author = {Signe, Franck Xavier and Poutineau, Jean-Christophe and Gankou, Jean Marie}, + journal = {Computational Economics}, + year = {2026}, + litmapsId = {298801043} +} + + +@article{exchange_oskolkov_2021, + title = {Exchange Rate Policy and Heterogeneity in Small Open Economies}, + doi = {10.2139/ssrn.3923784}, + author = {Oskolkov, A.}, + journal = {Social Science Research Network}, + year = {2021}, + litmapsId = {160469382} +} + + +@article{debt_chen_2025, + title = {Debt targets and fiscal consolidation in a Euro Area HANK model}, + doi = {10.3982/qe2340}, + author = {Chen, Xiaoshan and Lazarakis, Spyridon and Varthalitis, Petros}, + journal = {Quantitative Economics}, + year = {2025}, + litmapsId = {294352067} +} + + +@article{nominal_blanco_2025, + title = {Nominal Devaluations, Inflation, and Inequality}, + doi = {10.1257/mac.20230002}, + author = {Blanco, Andrés and Drenik, Andrés and Zaratiegui, Emilio}, + journal = {American Economic Journal Macroeconomics}, + year = {2025}, + litmapsId = {288434811} +} + + +@article{excess_aggarwal_2023, + title = {Excess Savings and Twin Deficits: The Transmission of Fiscal Stimulus in Open Economies}, + doi = {10.1086/723586}, + author = {Aggarwal, Rishabh and Auclert, Adrien and Rognlie, M. and Straub, Ludwig}, + journal = {NBER macroeconomics annual}, + year = {2023}, + litmapsId = {205544963} +} + + +@article{real_mullen_2025, + title = {Real exchange rate and net trade dynamics: Financial and trade shocks}, + doi = {10.1016/j.jinteco.2025.104141}, + author = {Mullen, Marcos Mac and Woo, Soo Kyung}, + journal = {Journal of International Economics}, + year = {2025}, + litmapsId = {289998868} +} + + +@article{interest_wolf_2021, + title = {Interest Rate Cuts vs. Stimulus Payments: An Equivalence Result}, + doi = {10.3386/w29193}, + author = {Wolf, Christian K.}, + journal = {Social Science Research Network}, + year = {2021}, + litmapsId = {226120934} +} + + +@article{long_boehm_2020, + title = {The Long and Short (Run) of Trade Elasticities}, + doi = {10.3386/w27064}, + author = {Boehm, Christoph E. and Levchenko, A. and Pandalai-Nayar, Nitya}, + journal = {Social Science Research Network}, + year = {2020}, + litmapsId = {279291112} +} + + +@article{monetary_bellifemine_2025, + title = {Monetary unions with heterogeneous fiscal space}, + doi = {10.1016/j.jinteco.2025.104092}, + author = {Bellifemine, Marco and Couturier, Adrien and Jamilov, Rustam}, + journal = {Journal of International Economics}, + year = {2025}, + litmapsId = {286874227} +} + + +@article{energy_pieroni_2023, + title = {Energy shortages and aggregate demand: Output loss and unequal burden from HANK}, + doi = {10.1016/j.euroecorev.2023.104428}, + author = {Pieroni, Valerio}, + journal = {European Economic Review}, + year = {2023}, + litmapsId = {255532418} +} + + +@article{anatomy_gyongyosi_2021, + title = {The Anatomy of Consumption in a Household Foreign Currency Debt Crisis}, + doi = {10.2139/ssrn.3989915}, + author = {Gyongyosi, Gyozo and Rariga, Judit and Verner, Emil}, + journal = {SSRN Electronic Journal}, + year = {2021}, + litmapsId = {94721411} +} + + +@article{spillovers_camara_2021, + title = {Spillovers of Us Interest Rates: Monetary Policy & Information Effects}, + doi = {10.2139/ssrn.4017195}, + author = {Camara, Santiago}, + journal = {Social Science Research Network}, + year = {2021}, + litmapsId = {221837180} +} + + +@article{household_gerke_2024, + title = {On Household Labour Supply in Sticky-Wage HANK models}, + doi = {10.2139/ssrn.4744547}, + author = {Gerke, Rafael and Giesen, Sebastian and Lozej, Matija and Röttger, Joost}, + journal = {Social Science Research Network}, + year = {2024}, + litmapsId = {270220264} +} + + +@article{interest_wolf_2021, + title = {Interest Rate Cuts vs. Stimulus Payments: An Equivalence Result}, + doi = {10.3386/w29193}, + author = {Wolf, Christian K.}, + journal = {Social Science Research Network}, + year = {2021}, + litmapsId = {276279874} +} + diff --git a/models/We-Would-Like-In-Econ-ARK/SSJ_2021/OpenHA.bib b/models/We-Would-Like-In-Econ-ARK/SSJ_2021/OpenHA.bib new file mode 100644 index 00000000..67f7719c --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/SSJ_2021/OpenHA.bib @@ -0,0 +1,1817 @@ +@ARTICLE{Aggarwal2023-jd, + title = "Excess savings and twin deficits: The transmission of fiscal + stimulus in open economies", + author = "Aggarwal, Rishabh and Auclert, Adrien and Rognlie, Matthew and + Straub, Ludwig", + journal = "NBER Macroecon. Annu.", + publisher = "University of Chicago Press", + volume = 37, + pages = "325--412", + month = may, + year = 2023, + language = "en" +} + +@ARTICLE{Alessandria2021-bm, + title = "The dynamics of the {U}.{S}. trade balance and real exchange + rate: The {J} curve and trade costs?", + author = "Alessandria, George and Choi, Horag", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 132, + number = 103511, + pages = 103511, + month = sep, + year = 2021, + language = "en" +} + +@TECHREPORT{Alessandria2020-ey, + title = "Firm dynamics and trade", + author = "Alessandria, George and Arkolakis, Costas and Ruhl, Kim", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + volume = 13, + pages = "253--280", + month = oct, + year = 2020 +} + +@ARTICLE{Alvarez2009-lc, + title = "Time-varying risk, interest rates, and exchange rates in general + equilibrium", + author = "Alvarez, Fernando and Atkeson, Andrew and Kehoe, Patrick J", + journal = "Rev. Econ. Stud.", + publisher = "Wiley-Blackwell", + volume = 76, + number = 3, + pages = "851--878", + year = 2009 +} + +@ARTICLE{Amiti2022-gu, + title = "Dominant currencies: How firms choose currency invoicing and why it + matters", + author = "Amiti, M and Itskhoki, O and Konings, J", + journal = "Q. J. Econ.", + volume = 137, + number = 3, + pages = "1435--1493", + year = 2022 +} + +@ARTICLE{Auclert2019-js, + title = "Monetary policy and the redistribution channel", + author = "Auclert, Adrien", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 109, + number = 6, + pages = "2333--2367", + abstract = "This paper evaluates the role of redistribution in the + transmission mechanism of monetary policy to consumption. Three + channels affect aggregate spending when winners and losers have + different marginal propensities to consume: an earnings + heterogeneity channel from unequal income gains, a Fisher channel + from unexpected inflation, and an interest rate exposure channel + from real interest rate changes. Sufficient statistics from + Italian and US data suggest that all three channels are likely to + amplify the effects of monetary policy. (JEL E21, E31, E43, E52)", + month = jun, + year = 2019, + language = "en" +} + +@ARTICLE{Kortum2011-el, + title = "Staggered adjustment and trade dynamics", + author = "Kortum, Samuel and Eaton, J and Arkolakis, Costas", + journal = "Res. Pap. Econ. Fin.", + year = 2011 +} + +@ARTICLE{Auclert2023-wk, + title = "{MPCs}, {MPEs}, and multipliers: A trilemma for New Keynesian + models", + author = "Auclert, Adrien and Bardóczy, Bence and Rognlie, Matthew", + journal = "Rev. Econ. Stat.", + publisher = "MIT Press", + volume = 105, + number = 3, + pages = "700--712", + abstract = "Abstract We show that New Keynesian models with frictionless + labor supply face a challenge: given standard parameters, they + cannot simultaneously match plausible estimates of marginal + propensities to consume (MPCs), marginal propensities to earn + (MPEs), and fiscal multipliers. A HANK model with sticky wages + provides a solution to this trilemma.", + month = may, + year = 2023, + language = "en" +} + +@ARTICLE{Auclert2021-jz, + title = "Using the Sequence-Space Jacobian to Solve and Estimate + Heterogeneous-Agent Models", + author = "Auclert, Adrien and Bardóczy, Bence and Rognlie, Matthew and + Straub, Ludwig", + journal = "Econometrica", + volume = 89, + number = 5, + pages = "2375--2408", + year = 2021 +} + +@TECHREPORT{Auclert2020-xk, + title = "Micro jumps, macro humps: Monetary policy and business cycles + in an estimated {HANK} model", + author = "Auclert, Adrien and Rognlie, Matthew and Straub, Ludwig", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + month = jan, + year = 2020 +} + +@ARTICLE{Auclert2024-wc, + title = "The intertemporal Keynesian cross", + author = "Auclert, Adrien and Rognlie, Matthew and Straub, Ludwig", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 132, + number = 12, + pages = "4068--4121", + month = dec, + year = 2024, + language = "en" +} + +@UNPUBLISHED{Auclert2024-vf, + title = "When do Endogenous Portfolios Matter for {HANK}?", + author = "Auclert, Adrien and Rognlie, Matthew and Straub, Ludwig and Tapák, + Tomáš", + year = 2024 +} + +@ARTICLE{Rigato2024-li, + title = "New pricing models, same old Phillips curves?", + author = "Rigato, Rodolfo and Rognlie, Matthew and Straub, Ludwig", + journal = "Q. J. Econ.", + volume = 139, + number = 1, + pages = "121--186", + year = 2024 +} + +@ARTICLE{Auer2021-wj, + title = "Exchange Rates and Prices: Evidence from the 2015 Swiss Franc + Appreciation", + author = "Auer, Raphael and Burstein, Ariel and Lein, Sarah M", + journal = "Am. Econ. Rev.", + volume = 111, + number = 2, + pages = "652--686", + year = 2021 +} + +@ARTICLE{Backus1994-fn, + title = "Dynamics of the Trade Balance and the Terms of Trade: The + {J}-Curve?", + author = "Backus, David K and Kehoe, Patrick J and Kydland, Finn E", + journal = "Am. Econ. Rev.", + volume = 84, + number = 1, + pages = "84--103", + year = 1994 +} + +@ARTICLE{Baldwin1989-bw, + title = "Persistent trade effects of large exchange rate shocks", + author = "Baldwin, Richard and Krugman, Paul", + journal = "Q. J. Econ.", + publisher = "Oxford University Press (OUP)", + volume = 104, + number = 4, + pages = 635, + month = nov, + year = 1989 +} + +@ARTICLE{Barbiero2020-ba, + title = "The valuation effects of trade", + author = "Barbiero, Omar", + journal = "SSRN Electron. J.", + publisher = "Elsevier BV", + year = 2020, + language = "en" +} + +@TECHREPORT{Baxter1994-mu, + title = "Business cycles and the asset structure of foreign trade", + author = "Baxter, Marianne and Crucini, Mario", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + volume = 36, + pages = "821--854", + abstract = "the international transmission of business cycles, asset trade + and provides a detailed analysis of the channels through which + these financial linkages affect international business cycles", + month = dec, + year = 1994 +} + +@TECHREPORT{Juvenal2019-by, + title = "Cross-border currency exposures. New evidence based on an + enhanced and updated dataset", + author = "Juvenal, Luciana and Gautam, Deepali and Bénétrix, Agustín and + Schmitz, Martin", + institution = "Technical report, IMF Working Paper 19/299), https://www. imf. + org/en …", + abstract = "Cross-Border Currency Exposures. New evidence based on an + enhanced and updated dataset IMF Working Papers describe + research in progress by the author(s) and are published", + year = 2019 +} + +@TECHREPORT{Bhandari2023-wu, + title = "A perturbational approach for approximating heterogeneous agent + models", + author = "Bhandari, Anmol and Bourany, Thomas and Evans, David and Golosov, + Mikhail", + publisher = "National Bureau of Economic Research", + address = "Cambridge, MA", + month = sep, + year = 2023 +} + +@INCOLLECTION{Bianchi2022-hf, + title = "The prudential use of capital controls and foreign currency + reserves", + author = "Bianchi, Javier and Lorenzoni, Guido", + editor = "Gopinath, Gita and Helpman, Elhanan and Rogoff, Kenneth", + booktitle = "Handbook of International Economics", + publisher = "Elsevier", + volume = 6, + pages = "237--289", + series = "Handbook of International Economics", + year = 2022, + language = "en" +} + +@UNPUBLISHED{Bianchi2023-zm, + title = "Liquidity Traps, Prudential Policies and International Spillovers", + author = "Bianchi, Javier and Coulibaly, Louphou", + year = 2023 +} + +@TECHREPORT{Blanco2024-kz, + title = "Nominal Devaluations, Inflation and Inequality", + author = "Blanco, Andrés and Drenik, Andrés and Zaratiegui, Emilio", + institution = "National Bureau of Economic Research", + year = 2024 +} + +@ARTICLE{Boz2022-gm, + title = "Patterns of invoicing currency in global trade: New evidence", + author = "Boz, Emine and Casas, Camila and Georgiadis, Georgios and + Gopinath, Gita and Le Mezo, Helena and Mehl, Arnaud and Nguyen, + Tra", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 136, + number = 103604, + pages = 103604, + month = may, + year = 2022, + language = "en" +} + +@ARTICLE{Broer2020-jk, + title = "The new Keynesian transmission mechanism: A heterogeneous-agent + perspective", + author = "Broer, Tobias and Hansen, Niels-Jakob Harbo and Krusell, Per and + Öberg, Erik", + journal = "Rev. Econ. Stud.", + volume = 87, + number = 1, + pages = "77--101", + year = 2020 +} + +@INCOLLECTION{Burstein2014-eq, + title = "International Prices and Exchange Rates", + author = "Burstein, Ariel and Gopinath, Gita", + editor = "Helpman, Elhanan and Rogoff, Kenneth and Gopinath, Gita", + booktitle = "Handbook of International Economics", + publisher = "Elsevier", + volume = 4, + pages = "391--451", + series = "Handbook of International Economics", + year = 2014 +} + +@ARTICLE{Burstein2005-np, + title = "Large devaluations and the real exchange rate", + author = "Burstein, Ariel and Eichenbaum, Martin and Rebelo, Sergio", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 113, + number = 4, + pages = "742--784", + month = aug, + year = 2005 +} + +@TECHREPORT{Caballero2020-ra, + title = "A model of endogenous risk intolerance and {LSAPs}: Asset + prices and aggregate demand in a “covid-19” shock", + author = "Caballero, Ricardo and Simsek, Alp", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + volume = 34, + pages = "5522--5580", + month = apr, + year = 2020 +} + +@ARTICLE{Caliendo2015-je, + title = "Estimates of the trade and welfare effects of {NAFTA}", + author = "Caliendo, Lorenzo and Parro, Fernando", + journal = "Rev. Econ. Stud.", + volume = 82, + number = 1, + pages = "1--44", + year = 2015 +} + +@ARTICLE{Campa2005-ow, + title = "Exchange rate pass-through into import prices", + author = "Campa, José Manuel and Goldberg, Linda S", + journal = "Rev. Econ. Stat.", + publisher = "MIT Press - Journals", + volume = 87, + number = 4, + pages = "679--690", + month = nov, + year = 2005, + language = "en" +} + +@ARTICLE{Carroll2020-up, + title = "On the heterogeneous welfare gains and losses from trade", + author = "Carroll, Daniel R and Hur, Sewon", + journal = "J. Monet. Econ.", + publisher = "Elsevier BV", + volume = 109, + pages = "1--16", + month = jan, + year = 2020, + language = "en" +} + +@ARTICLE{Cavallo2021-jt, + title = "Tariff passthrough at the border and at the store: Evidence from + {US} trade policy", + author = "Cavallo, Alberto and Gopinath, Gita and Neiman, Brent and Hnilo, + Florencia and Barnatchez, Keith and Xu, Menglu and Ospital, Augusto", + journal = "Am. Econ. Rev. Insights", + volume = 3, + number = 1, + pages = "19--34", + year = 2021 +} + +@TECHREPORT{Borusyak2021-ad, + title = "The distributional effects of trade: Theory and evidence from + the United States", + author = "Borusyak, Kirill and Jaravel, Xavier", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + month = jun, + year = 2021 +} + +@ARTICLE{Clarida2000-zr, + title = "Monetary Policy Rules and Macroeconomic Stability: Evidence and + Some Theory", + author = "Clarida, Richard and Galí, Jordi and Gertler, Mark", + journal = "Q. J. Econ.", + volume = 115, + number = 1, + pages = "147--180", + year = 2000 +} + +@ARTICLE{Corsetti2008-pw, + title = "International risk sharing and the transmission of productivity + shocks", + author = "Corsetti, Giancarlo and Dedola, Luca and Leduc, Sylvain", + journal = "Rev. Econ. Stud.", + volume = 75, + number = 2, + pages = "443--473", + year = 2008 +} + +@ARTICLE{Cravino2016-hl, + title = "The distributional consequences of large devaluations", + author = "Cravino, Javier and Levchenko, Andrei A", + journal = "SSRN Electron. J.", + publisher = "Elsevier BV", + volume = 107, + number = 11, + pages = "3477--3509", + year = 2016, + language = "en" +} + +@UNPUBLISHED{Cugat2022-ux, + title = "Emerging Markets, Household Heterogeneity, and Exchange Rate Policy", + author = "Cugat, Gabriela", + year = 2022 +} + +@ARTICLE{de-Ferra2020-ai, + title = "Household heterogeneity and the transmission of foreign shocks", + author = "de Ferra, Sergio and Mitman, Kurt and Romei, Federica", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 124, + number = 103303, + pages = 103303, + month = may, + year = 2020, + language = "en" +} + +@ARTICLE{Diaz-Alejandro1963-zf, + title = "A note on the impact of devaluation and the redistributive effect", + author = "Díaz-Alejandro, Carlos F", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 71, + number = 6, + pages = "577--580", + month = dec, + year = 1963 +} + +@BOOK{Dornbusch1980-hg, + title = "Open Economy Macroeconomics", + author = "Dornbusch, Rudiger", + publisher = "Basic Books", + address = "London, England", + month = nov, + year = 1980 +} + +@ARTICLE{Drozd2012-cm, + title = "Understanding international prices: Customers as capital", + author = "Drozd, Lukasz A and Nosal, Jaromir B", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 102, + number = 1, + pages = "364--395", + abstract = "The article develops a new theory of pricing to market driven by + dynamic frictions of building market shares. Our key innovation + is a capital theoretic model of marketing in which relations with + customers are valuable. We discipline the introduced friction + using data on differences between short-run and long-run price + elasticity of international trade flows. We show that the model + accounts for several pricing “puzzles” of international + macroeconomics. (JEL E13, F14, F31, F41, F44, M31)", + month = feb, + year = 2012, + language = "en" +} + +@TECHREPORT{Drozd2020-zd, + title = "The Trade-Comovement Puzzle", + author = "Drozd, Lukasz A and Kolbin, Sergey and Nosal, Jaromir B", + publisher = "Federal Reserve Bank of Philadelphia", + institution = "Federal Reserve Bank of Philadelphia", + volume = 13, + pages = "78--120", + series = "Working paper (Federal Reserve Bank of Philadelphia)", + month = jan, + year = 2020 +} + +@TECHREPORT{Druedahl2022-dk, + title = "The transmission of foreign demand shocks", + author = "Druedahl, Jeppe and Ravn, Søren Hove and Sunder-Plassmann, + Laura and Sundram, Jacob Marott and Waldstrøm, Nicolai", + institution = "Working paper", + abstract = "Our analysis is complementary: we focus less on inequality and + more on the transmission channels of foreign demand shocks, + including their empirical validation and implications for", + year = 2022 +} + +@ARTICLE{Fanelli2022-hd, + title = "Corrigendum to: A theory of foreign exchange interventions", + author = "Fanelli, Sebastián and Straub, Ludwig", + journal = "Rev. Econ. Stud.", + publisher = "Oxford University Press (OUP)", + volume = 89, + number = 2, + pages = "1038--1038", + month = mar, + year = 2022, + language = "en" +} + +@INCOLLECTION{Farhi2016-kf, + title = "Fiscal multipliers", + author = "Farhi, E and Werning, I", + editor = "Uhlig, Harald and Taylor, John B", + booktitle = "Handbook of Macroeconomics", + publisher = "Elsevier", + volume = 2, + pages = "2417--2492", + series = "Handbook of Macroeconomics", + year = 2016, + language = "en" +} + +@ARTICLE{Feenstra2018-ot, + title = "In search of the Armington elasticity", + author = "Feenstra, Robert C and Luck, Philip and Obstfeld, Maurice and + Russ, Katheryn N", + journal = "Rev. Econ. Stat.", + publisher = "MIT Press", + volume = 100, + number = 1, + pages = "135--150", + year = 2018 +} + +@ARTICLE{Gabaix2015-rf, + title = "International liquidity and exchange rate dynamics", + author = "Gabaix, Xavier and Maggiori, Matteo", + journal = "Q. J. Econ.", + volume = 130, + number = 3, + pages = "1369--1420", + year = 2015 +} + +@BOOK{Gali2008-tb, + title = "Monetary Policy, Inflation, and the Business Cycle: An + Introduction to the New Keynesian Framework", + author = "Galí, Jordi", + publisher = "Princeton University Press", + address = "Princeton, NJ", + year = 2008 +} + +@TECHREPORT{Fukui2023-sk, + title = "The macroeconomic consequences of exchange rate depreciations", + author = "Fukui, Masao and Nakamura, Emi and Steinsson, Jón", + publisher = "National Bureau of Economic Research", + address = "Cambridge, MA", + month = may, + year = 2023 +} + +@ARTICLE{Gopinath2020-qa, + title = "Dominant currency paradigm", + author = "Gopinath, Gita and Boz, Emine and Casas, Camila and Díez, + Federico J and Gourinchas, Pierre-Olivier and Plagborg-Møller, + Mikkel", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 110, + number = 3, + pages = "677--719", + month = mar, + year = 2020, + language = "en" +} + +@ARTICLE{Gourinchas2018-rm, + title = "Monetary policy transmission in emerging markets: an application to + Chile", + author = "Gourinchas, P", + journal = "Research Papers in Economics", + volume = 25, + pages = "279--324", + year = 2018 +} + +@INCOLLECTION{Gourinchas2007-sp, + title = "From world banker to world venture capitalist: {US} external + adjustment and the exorbitant privilege", + author = "Gourinchas, Pierre-Olivier and Rey, Helene", + booktitle = "G7 current account imbalances: sustainability and adjustment", + publisher = "University of Chicago Press", + pages = "11--66", + abstract = "the world venture capitalist. We find that a nonnegligible + fraction of the exorbitant privilege though the major part of the + exorbitant privilege comes from return differentials between US", + year = 2007 +} + +@ARTICLE{Guo2023-jr, + title = "Monetary policy and redistribution in open economies", + author = "Guo, Xing and Ottonello, Pablo and Perez, Diego J", + journal = "Journal of Political Economy Macroeconomics", + publisher = "University of Chicago Press", + volume = 1, + number = 1, + pages = "000--000", + month = apr, + year = 2023, + language = "en" +} + +@ARTICLE{Guvenen2022-re, + title = "The global repository of income dynamics", + author = "Guvenen, Fatih and Pistaferri, Luigi and Violante, G L", + year = 2022 +} + +@TECHREPORT{Kalemli-Ozcan2019-ad, + title = "{U}.{S}. monetary policy and international risk spillovers", + author = "Kalemli-Özcan, Ṣebnem", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + month = sep, + year = 2019 +} + +@BOOK{Hooper2000-gb, + title = "Trade Elasticities for the {G}-7 Countries", + author = "Hooper, Peter and Johnson, Karen H and Marquez, Jaime R", + publisher = "Princeton University", + series = "Princeton Studies in International Economics", + year = 2000 +} + +@ARTICLE{Hong2023-ba, + title = "{MPCs} in an emerging economy: Evidence from Peru", + author = "Hong, Seungki", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 140, + number = 103712, + pages = 103712, + month = jan, + year = 2023, + language = "en" +} + +@ARTICLE{Itskhoki2021-ly, + title = "Exchange rate disconnect in general equilibrium", + author = "Itskhoki, Oleg and Mukhin, Dmitry", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 129, + number = 8, + pages = "2183--2232", + month = aug, + year = 2021, + language = "en" +} + +@ARTICLE{Harberger1950-dy, + title = "Currency depreciation, income, and the balance of trade", + author = "Harberger, Arnold C", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 58, + number = 1, + pages = "47--60", + month = feb, + year = 1950 +} + +@TECHREPORT{Gopinath2015-et, + title = "The international price system", + author = "Gopinath, Gita", + institution = "National Bureau of Economic Research", + abstract = "International Price System” in global trade employing data for + thirty-five developed and developing countries. This price + system Second, international prices, in their currency of + invoicing", + year = 2015 +} + +@ARTICLE{Kamin2000-wv, + title = "Output and the real exchange rate in developing countries: An + application to Mexico", + author = "Kamin, Steven B and Rogers, John H", + journal = "J. Dev. Econ.", + volume = 61, + number = 1, + pages = "85--109", + year = 2000 +} + +@ARTICLE{Frankel2005-to, + title = "Mundell-Fleming lecture: Contractionary currency crashes in + developing countries", + author = "Frankel, Jeffrey A", + journal = "IMF Staff Pap.", + publisher = "Springer Science and Business Media LLC", + volume = 52, + number = 2, + pages = "149--192", + month = apr, + year = 2005, + language = "en" +} + +@TECHREPORT{Krugman1987-rc, + title = "Adjustment in the World Economy", + author = "Krugman, Paul", + institution = "National Bureau of Economic Research", + year = 1987 +} + +@ARTICLE{Laursen1950-jl, + title = "Flexible exchange rates and the theory of employment", + author = "Laursen, Svend and Metzler, Lloyd A", + journal = "Rev. Econ. Stat.", + publisher = "JSTOR", + volume = 32, + number = 4, + pages = 281, + month = nov, + year = 1950 +} + +@UNPUBLISHED{de-Magalhaes2022-sw, + title = "Transfer Progressivity and Development", + author = "de Magalhães, Leandro and Martorell-Toledano, Enric and + Santaeulàlia-Llopis, Raül", + year = 2022 +} + +@ARTICLE{McKay2021-jw, + title = "Lumpy durable consumption demand and the limited ammunition of + monetary policy", + author = "McKay, Alisdair and Wieland, Johannes F", + journal = "Econometrica", + volume = 89, + number = 6, + pages = "2717--2749", + year = 2021 +} + +@ARTICLE{Mendoza1991-vv, + title = "Real business cycles in a small open economy", + author = "Mendoza, Enrique G", + journal = "Am. Econ. Rev.", + volume = 81, + number = 4, + pages = "797--818", + year = 1991 +} + +@TECHREPORT{Mian2020-kr, + title = "Indebted Demand", + author = "Mian, Atif and Straub, Ludwig and Sufi, Amir", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + volume = 136, + pages = "2243--2307", + month = apr, + year = 2020 +} + +@ARTICLE{Obstfeld1995-wg, + title = "Exchange Rate Dynamics Redux", + author = "Obstfeld, Maurice and Rogoff, Kenneth", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 103, + number = 3, + pages = "624--660", + month = jun, + year = 1995 +} + +@ARTICLE{Oskolkov2023-yw, + title = "Exchange rate policy and heterogeneity in small open economies", + author = "Oskolkov, Aleksei", + journal = "J. Int. Econ.", + volume = 142, + pages = 103750, + year = 2023 +} + +@PHDTHESIS{Otten2021-we, + title = "Household Heterogeneity and the Adjustment to External Shocks", + author = "Otten, Julia Isabelle", + year = 2021, + school = "Humboldt-Universität zu Berlin" +} + +@ARTICLE{Polak1947-pi, + title = "The foreign trade multiplier", + author = "Polak, J J", + journal = "Am. Econ. Rev.", + volume = 37, + number = 5, + pages = "889--897", + year = 1947 +} + +@BOOK{Uribe2017-qj, + title = "Open economy macroeconomics", + author = "Uribe, Martin and Schmitt-Grohe, Stephanie", + publisher = "Princeton University Press", + address = "Princeton, NJ", + month = apr, + year = 2017, + language = "en" +} + +@ARTICLE{Zhou2021-cr, + title = "Open economy, redistribution, and the aggregate impact of + external shocks", + author = "Zhou, Haonan", + journal = "SSRN Electron. J.", + publisher = "Elsevier BV", + year = 2021, + language = "en" +} + +@ARTICLE{Woodford2011-hq, + title = "Simple analytics of the government expenditure multiplier", + author = "Woodford, Michael", + journal = "Am. Econ. J. Macroecon.", + publisher = "American Economic Association", + volume = 3, + number = 1, + pages = "1--35", + month = jan, + year = 2011 +} + +@ARTICLE{Sokolova2023-cx, + title = "Marginal propensity to consume and unemployment: A meta-analysis", + author = "Sokolova, Anna", + journal = "Rev. Econ. Dyn.", + publisher = "Elsevier BV", + volume = 51, + pages = "813--846", + month = dec, + year = 2023, + language = "en" +} + +@TECHREPORT{Werning2015-vz, + title = "Incomplete markets and aggregate demand", + author = "Werning, Iván", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + abstract = "I study aggregate consumption dynamics under incomplete + markets, focusing on the relationship between consumption and + the path for interest rates. I first provide a general + aggregation result under extreme illiquidity (no borrowing and + no outside assets), deriving a generalized Euler relation + involving the real interest rate, current and future aggregate + consumption. This provides a tractable way of incorporating + incomplete markets in macroeconomic models, dealing only with + aggregates. Although this relation does not necessarily + coincide with the standard representative-agent Euler equation, + I show that it does for an important benchmark specification. + When this is the case, idiosyncratic uncertainty and incomplete + markets leave their imprint by affecting the discount factor in + this representation, but the sensitivity of consumption to + current and future interest rates is unaffected. An immediate + corollary is that “forward guidance” (lower future interest + rates) is as powerful as in representative agent models. I show + that the same representation holds with positive liquidity + (borrowing and outside assets) when utility is logarithmic. I + show that away from these benchmark cases, consumption is + likely to become more sensitive to interest rate, and + especially future interest rates. Finally, I apply my approach + to a real business cycle economy, providing an exact analytical + aggregation result that complements existing numerical results.", + month = aug, + year = 2015 +} + +@ARTICLE{Rouwenhorst1995-ow, + title = "Asset pricing implications of equilibrium business cycle models", + author = "Rouwenhorst, K Geert", + editor = "Cooley, Thomas F", + journal = "Frontiers of business cycle research", + publisher = "Princeton University Press", + volume = 1, + pages = "294--330", + year = 1995 +} + +@ARTICLE{Tille2001-jj, + title = "The role of consumption substitutability in the international + transmission of monetary shocks", + author = "Tille, Cédric", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 53, + number = 2, + pages = "421--444", + abstract = "This paper develops a general framework to analyze the impact of + monetary shocks in an open economy, focusing on the role of the + degree of substitutability between goods produced in different + countries. We extend the contributions by Obstfeld and Rogoff + [Obstfeld, M., Rogoff, K., 1995. Exchange rate dynamics redux. + Journal of Political Economy 103, 624–659] and Corsetti and + Pesenti [Corsetti, G., Pesenti, P., 1997. Welfare and + Macroeconomic Interdependence, NBER Working Paper 6307] to show + that the welfare impact differs across countries when the degree + of substitutability between goods produced in different countries + is different from the degree of substitutability between goods + produced in the same country. A shock that would be beneficial in + a closed economy can have an adverse ‘beggar-thyself’ effect in + the country where it takes place, or an adverse + ‘beggar-thy-neighbor’ effect on its neighbor.", + month = apr, + year = 2001, + language = "en" +} + +@ARTICLE{Monacelli2005-zv, + title = "Monetary policy in a Low Pass-through environment", + author = "Monacelli, Tommaso", + journal = "J. Money Credit Bank.", + publisher = "Johns Hopkins University Press", + volume = 37, + number = 6, + pages = "1047--1066", + abstract = "We study the effects on the optimal monetary policy design + problem of allowing for deviations from the law of one price in + import goods prices. We reach three basic results. First, we show + that incomplete pass-through renders the analysis of monetary + policy of an open economy fundamentally different from the one of + a closed economy, unlike canonical models with perfect + pass-through which emphasize a type of isomorphism. Second, and + in response to efficient productivity shocks, incomplete + pass-through has the effect of generating endogenously a + short-run tradeoff between the stabilization of inflation and of + the output gap. This holds independently of the measure of + inflation being targeted by the monetary authority. Third, in + studying the optimal program under commitment relative to + discretion, we show that the former entails a smoothing of the + deviations from the law of one price, in stark contrast with the + established empirical evidence. In addition, an optimal + commitment policy always requires, relative to discretion, more + stable nominal and real exchange rates.", + year = 2005 +} + +@ARTICLE{McKay2016-ss, + title = "The power of forward guidance revisited", + author = "McKay, Alisdair and Nakamura, Emi and Steinsson, Jón", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 106, + number = 10, + pages = "3133--3158", + abstract = "In recent years, central banks have increasingly turned to + forward guidance as a central tool of monetary policy. Standard + monetary models imply that far future forward guidance has huge + effects on current outcomes, and these effects grow with the + horizon of the forward guidance. We present a model in which the + power of forward guidance is highly sensitive to the assumption + of complete markets. When agents face uninsurable income risk and + borrowing constraints, a precautionary savings effect tempers + their responses to changes in future interest rates. As a + consequence, forward guidance has substantially less power to + stimulate the economy. (JEL E21, E40, E50)", + month = oct, + year = 2016, + language = "en" +} + +@ARTICLE{Krugman1978-yz, + title = "Contractionary effects of devaluation", + author = "Krugman, Paul and Taylor, Lance", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 8, + number = 3, + pages = "445--456", + abstract = "A simple model is developed to illustrate a number of + contractionary effects of currency devaluation, some of which + have been noted previously. In a Keynesian model, it is shown + that depreciation can lead to a reduction in national output if + (i) imports initially exceed exports: (ii) there are differences + in consumption propensities from profits and wages; (iii) + government revenues are increased by devaluation, e.g. when there + are significant export taxes. Similar effects are also shown to + exist in monetarist models, via reductions in both real balances + and the nominal money supply. A numerical example illustrates the + results for an economy ‘typical’ of semi-industrialized + countries.", + month = aug, + year = 1978, + language = "en" +} + +@ARTICLE{Lane2010-fu, + title = "Financial exchange rates and international currency exposures", + author = "Lane, Philip R and Shambaugh, Jay C", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 100, + number = 1, + pages = "518--540", + abstract = "In order to gain a better empirical understanding of the + international financial implications of currency movements, we + construct a database of international currency exposures for a + large panel of countries over 1990-2004. We show that + trade-weighted exchange rate indices are insufficient to + understand the financial impact of currency movements and that + our currency measures have high explanatory power for the + valuation term in net foreign asset dynamics. Exchange rate + valuation shocks are sizable, not quickly reversed, and may + entail substantial wealth redistributions. Further, we show that + many developing countries have substantially reduced their + negative foreign currency positions over the last decade. (F31, + F32, G15)", + month = mar, + year = 2010, + language = "en" +} + +@ARTICLE{Kaplan2018-to, + title = "Monetary policy according to {HANK}", + author = "Kaplan, Greg and Moll, Benjamin and Violante, Giovanni L", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 108, + number = 3, + pages = "697--743", + abstract = "We revisit the transmission mechanism from monetary policy to + household consumption in a Heterogeneous Agent New Keynesian + (HANK) model. The model yields empirically realistic + distributions of wealth and marginal propensities to consume + because of two features: uninsurable income shocks and multiple + assets with different degrees of liquidity and different returns. + In this environment, the indirect effects of an unexpected cut in + interest rates, which operate through a general equilibrium + increase in labor demand, far outweigh direct effects such as + intertemporal substitution. This finding is in stark contrast to + small- and medium-scale Representative Agent New Keynesian (RANK) + economies, where the substitution channel drives virtually all of + the transmission from interest rates to consumption. Failure of + Ricardian equivalence implies that, in HANK models, the fiscal + reaction to the monetary expansion is a key determinant of the + overall size of the macroeconomic response. (JEL D31, E12, E21, + E24, E43, E52, E62)", + month = mar, + year = 2018, + language = "en" +} + +@ARTICLE{Johnson2006-lq, + title = "Household expenditure and the income tax rebates of 2001", + author = "Johnson, David S and Parker, Jonathan A and Souleles, Nicholas S", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 96, + number = 5, + pages = "1589--1610", + abstract = "Using questions expressly added to the Consumer Expenditure + Survey, we estimate the change in consumption expenditures caused + by the 2001 federal income tax rebates and test the permanent + income hypothesis. We exploit the unique, randomized timing of + rebate receipt across households. Households spent 20 to 40 + percent of their rebates on nondurable goods during the + three-month period in which their rebates arrived, and roughly + two-thirds of their rebates cumulatively during this period and + the subsequent three-month period. The implied effects on + aggregate consumption demand are substantial. Consistent with + liquidity constraints, responses are larger for households with + low liquid wealth or low income.", + month = nov, + year = 2006, + language = "en" +} + +@ARTICLE{Jappelli2014-hg, + title = "Fiscal Policy and {MPC} Heterogeneity", + author = "Jappelli, Tullio and Pistaferri, Luigi", + journal = "Am. Econ. J. Macroecon.", + publisher = "American Economic Association", + volume = 6, + number = 4, + pages = "107--136", + abstract = "We use responses to survey questions in the 2010 Italian Survey + of Household Income and Wealth that ask consumers how much of an + unexpected transitory income change they would consume. We find + that the marginal propensity to consume (MPC) is 48 percent on + average, and that there is substantial heterogeneity in the + distribution. We find that households with low cash-on-hand + exhibit a much lower MPC than affluent households, which is in + agreement with models with precautionary savings where income + risk plays an important role. The results have important + implications for the evaluation of fiscal policy, and for + predicting household responses to tax reforms and redistributive + policies. In particular, we find that a debt-financed increase in + transfers of 1 percent of national disposable income targeted to + the bottom decile of the cash-on-hand distribution would increase + aggregate consumption by 0.82 percent. Furthermore, we find that + redistributing 1\% of national disposable from the top to the + bottom decile of the income distribution would boost aggregate + consumption by 0.1\%.", + month = oct, + year = 2014 +} + +@ARTICLE{Itskhoki2021-lk, + title = "The story of the real exchange rate", + author = "Itskhoki, Oleg", + journal = "Annu. Rev. Econom.", + publisher = "Annual Reviews", + volume = 13, + number = 1, + pages = "423--455", + abstract = "The real exchange rate (RER) measures relative price levels + across countries, capturing deviations from purchasing power + parity (PPP). RER is a key variable in international + macroeconomic models as it is central to equilibrium conditions + in both goods and asset markets. It is also one of the most + starkly behaving variables empirically, tightly comoving with the + nominal exchange rate and virtually uncorrelated with most other + macroeconomic variables, nominal or real. This review lays out an + equilibrium framework of RER determination, focusing separately + on each building block and discussing corresponding empirical + evidence. We emphasize home bias and incomplete pass-through into + prices with expenditure switching and goods market clearing, + imperfect international risk sharing, country budget constraint, + and monetary policy regime. We show that RER is inherently a + general equilibrium variable that depends on the full model + structure and policy regime, and therefore partial theories like + PPP are insufficient to explain it. We also discuss issues of + stationarity and predictability of exchange rates.", + month = aug, + year = 2021, + language = "en" +} + +@ARTICLE{Ilzetzki2019-sj, + title = "Exchange arrangements entering the twenty-first century: Which + anchor will hold?", + author = "Ilzetzki, Ethan and Reinhart, Carmen M and Rogoff, Kenneth S", + journal = "Q. J. Econ.", + publisher = "Oxford University Press (OUP)", + volume = 134, + number = 2, + pages = "599--646", + abstract = "Abstract This article provides a comprehensive history of anchor + or reference currencies, exchange rate arrangements, and a new + measure of foreign exchange restrictions for 194 countries and + territories over 1946–2016. We find that the often cited + post–Bretton Woods transition from fixed to flexible arrangements + is overstated; regimes with limited flexibility remain in the + majority. Even if central bankers’ communications jargon has + evolved considerably in recent decades, it is apparent that many + still place a large implicit weight on the exchange rate. The + U.S. dollar scores as the world's dominant anchor currency by a + very large margin. By some metrics, its use is far wider today + than 70 years ago. In contrast, the global role of the euro + appears to have stalled. We argue that in addition to the usual + safe assets story, the record accumulation of reserves since 2002 + may also have to do with many countries’ desire to stabilize + exchange rates in an environment of markedly reduced exchange + rate restrictions or, more broadly, capital controls: an + important amendment to the conventional portrayal of the + macroeconomic trilemma.", + month = may, + year = 2019, + language = "en" +} + +@ARTICLE{Heathcote2002-tv, + title = "Financial autarky and international business cycles", + author = "Heathcote, Jonathan and Perri, Fabrizio", + journal = "J. Monet. Econ.", + publisher = "Elsevier BV", + volume = 49, + number = 3, + pages = "601--627", + abstract = "We present a two-country, two-good model in which there do not + exist any markets for international trade in financial assets. We + compare the predictions of this model to those of two other + models, one in which markets are complete and a second in which a + single non-contingent bond is traded. We find that only the + financial autarky model can generate volatility in the terms of + trade similar to that in data for the floating rate period and, + at the same time, account for observed cross-country output, + consumption, investment and employment correlations. We interpret + our findings as evidence that the extent of international + borrowing and lending opportunities is important for the + international business cycle.", + month = apr, + year = 2002, + language = "en" +} + +@ARTICLE{Gali2004-kj, + title = "Monetary policy and exchange rate volatility in a small open + economy", + author = "Galí, Jordi and Monacelli, Tommaso", + journal = "SSRN Electron. J.", + publisher = "Elsevier BV", + volume = 72, + number = 3, + pages = "707--734", + abstract = "We lay out a small open economy version of the Calvo sticky price + model, and show how the equilibrium dynamics can be reduced to + simple representation in domestic inflation and the output gap. + We use the resulting framework to analyze the macroeconomic + implications of three alternative rule-based policy regimes for + the small open economy: domestic inflation and CPI-based Taylor + rules, and an exchange rate peg. We show that a key difference + among these regimes lies in the relative amount of exchange rate + volatility that they entail. We also discuss a special case for + which domestic inflation targeting constitutes the optimal + policy, and where a simple second order approximation to the + utility of the representative consumer can be derived and used to + evaluate the welfare losses associated with the suboptimal rules.", + year = 2004, + language = "en" +} + +@ARTICLE{Farhi2019-ud, + title = "Monetary policy, bounded rationality, and incomplete markets", + author = "Farhi, Emmanuel and Werning, Iván", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 109, + number = 11, + pages = "3887--3928", + abstract = "This paper extends the benchmark New-Keynesian model by + introducing two frictions: (i) agent heterogeneity with + incomplete markets, uninsurable idiosyncratic risk, and + occasionally-binding borrowing constraints; and (ii) bounded + rationality in the form of level-k thinking. Compared to the + benchmark model, we show that the interaction of these two + frictions leads to a powerful mitigation of the effects of + monetary policy, which is more pronounced at long horizons, and + offers a potential rationalization of the “forward guidance + puzzle.” Each of these frictions, in isolation, would lead to no + or much smaller departures from the benchmark model. (JEL D52, + D81, E12, E52)", + month = nov, + year = 2019, + language = "en" +} + +@ARTICLE{Fitzgerald2018-ro, + title = "Exporters and shocks", + author = "Fitzgerald, Doireann and Haller, Stefanie", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 113, + pages = "154--171", + abstract = "We use micro data for Ireland to estimate the responses of export + entry, export exit, and the export revenue of incumbent exporters + to changes in tariffs and real exchange rates. Entry and revenue + are much more responsive to tariffs than they are to real + exchange rates. Our estimates translate into an elasticity of + aggregate exports with respect to tariff changes of between −1.5 + and −3.5 on impact, and between −2 and −5 in the long run. + Comparable elasticities for real exchange rate changes are around + 0.5 on impact, and between 0.6 and 0.8 in the long run. These + estimates are consistent with estimates in the literature based + on aggregate data. They provide further evidence that workhorse + models of international trade and business cycles which impose + identical responses must be modified in order to answer policy + questions touching on both international trade and the current + account.", + month = jul, + year = 2018, + language = "en" +} + +@ARTICLE{Farhi2017-mk, + title = "Fiscal unions", + author = "Farhi, Emmanuel and Werning, Iván", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 107, + number = 12, + pages = "3788--3834", + abstract = "We study cross-country risk sharing as a second-best problem for + members of a currency union using an open economy model with + nominal rigidities and provide two key results. First, we show + that if financial markets are incomplete, the value of gaining + access to any given level of aggregate risk sharing is greater + for countries that are members of a currency union. Second, we + show that even if financial markets are complete, privately + optimal risk sharing is constrained inefficient. A role emerges + for government intervention in risk sharing both to guarantee its + existence and to influence its operation. The constrained + efficient risk-sharing arrangement can be implemented by + contingent transfers within a fiscal union. We find that the + benefits of such a fiscal union are larger, the more asymmetric + the shocks affecting the members of the currency union, the more + persistent these shocks, and the less open the member economies. + Finally, we compare the performance of fiscal unions and of other + macroeconomic stabilization instruments available in currency + unions such as capital controls, government spending, fiscal + deficits, and redistribution. (JEL E62, F31, F32, F41, F45)", + month = dec, + year = 2017, + language = "en" +} + +@ARTICLE{Doepke2006-rf, + title = "Inflation and the redistribution of nominal wealth", + author = "Doepke, Matthias and Schneider, Martin", + journal = "J. Polit. Econ.", + publisher = "University of Chicago Press", + volume = 114, + number = 6, + pages = "1069--1097", + abstract = "This study quantitatively assesses the effects of inflation + through changes in the value of nominal assets. It documents + nominal asset positions in the United States across sectors and + groups of households and estimates the wealth redistribution + caused by a moderate inflation episode. The main losers from + inflation are rich, old households, the major bondholders in the + economy. The main winners are young, middle-class households with + fixed-rate mortgage debt. Besides transferring resources from the + old to the young, inflation is a boon for the government and a + tax on foreigners. Lately, the amount of U.S. nominal assets held + by foreigners has grown dramatically, increasing the potential + for a large inflation-induced wealth transfer from foreigners to + domestic households.", + month = dec, + year = 2006 +} + +@ARTICLE{Corsetti2000-zx, + title = "Competitive devaluations: toward a welfare-based approach", + author = "Corsetti, Giancarlo and Pesenti, Paolo and Roubini, Nouriel and + Tille, Cédric", + journal = "J. Int. Econ.", + publisher = "Elsevier BV", + volume = 51, + number = 1, + pages = "217--241", + abstract = "This paper revisits the international transmission of exchange + rate shocks in a multicountry economy, providing a + choice-theoretic framework for the policy analysis of competitive + devaluations. As opposed to the traditional view, a devaluation + by one country does not necessarily have an adverse + beggar-thy-neighbor effect on its trading partners, because they + can benefit from an improvement in their terms of trade. + Furthermore, a retaliatory devaluation need not be the optimal + strategy for the neighbor countries, as the induced terms of + trade deterioration can be large enough to offset the gains from + defending their export market share.The concern over competitive + devaluations reflected in the Fund's charter, and the system-wide + implications of changes in exchange rates, still motivate Fund + policy recommendations. A major Fund concern in the Asian crisis + has been the fear that Asian currencies would become so + undervalued and current account surpluses so large as to damage + the economies of other countries, developing countries included. + This is one reason the Fund has stressed the need first to + stabilize and then to strengthen exchange rates in the Asian + countries now in crisis — and for this purpose, not to cut + interest rates until the currency stabilizes and begins to + appreciate.", + month = jun, + year = 2000, + language = "en" +} + +@ARTICLE{Corsetti2001-dc, + title = "Welfare and macroeconomic interdependence", + author = "Corsetti, G and Pesenti, P", + journal = "Q. J. Econ.", + publisher = "Oxford University Press (OUP)", + volume = 116, + number = 2, + pages = "421--445", + abstract = "The paper develops a simple choice-theoretic model suitable for + carrying out welfare`` analyses of the international transmission + of monetary and fiscal policies. The model can be'' solved in + closed form and illustrated in terms of the simplest graphical + apparatus provide the analysis of macroeconomic interdependence, + structural spillovers strategic complementarities with rigorous + but intuitive micro-foundations. In contrast with the`` + traditional literature, our findings emphasize the positive + externalities of foreign monetary'' expansions and foreign fiscal + contractions on domestic welfare, while highlighting the`` + ambiguous welfare effects of domestic policy shocks.", + month = may, + year = 2001, + language = "en" +} + +@ARTICLE{Cole1991-pn, + title = "Commodity trade and international risk sharing", + author = "Cole, Harold L and Obstfeld, Maurice", + journal = "J. Monet. Econ.", + publisher = "Elsevier BV", + volume = 28, + number = 1, + pages = "3--24", + abstract = "This paper evaluates the social gains from international risk + sharing in some simple general-equilibrium models with output + uncertainty. A simulation model calibrated to selected moments of + U.S. and Japanese data estimates the incremental loss from a ban + on international portfolio diversification to be on the order of + 0.20 percent of output per year. Even the theoretical gains from + asset trade may disappear under alternative sets of assumptions + on preferences and technology. The paper argues that the small + magnitude of potential trade gains may help explain the + apparently inconsistent findings of empirical studies on the + degree of international capital mobility.", + month = aug, + year = 1991, + language = "en" +} + +@ARTICLE{Clarida2002-gd, + title = "A simple framework for international monetary policy analysis", + author = "Clarida, Richard and Galı́, Jordi and Gertler, Mark", + journal = "J. Monet. Econ.", + publisher = "Elsevier BV", + volume = 49, + number = 5, + pages = "879--904", + abstract = "We study the international monetary policy design problem within + an optimizing two-country sticky price model, where each country + faces a short run tradeoff between output and inflation. The + model is sufficiently tractable to solve analytically. We find + that in the Nash equilibrium, the policy problem for each central + bank is isomorphic to the one it would face if it were a closed + economy. Gains from cooperation arise, however, that stem from + the impact of foreign economic activity on the domestic marginal + cost of production. While under Nash central banks need only + adjust the interest rate in response to domestic inflation, under + cooperation they should respond to foreign inflation as well. In + either scenario, flexible exchange rates are desirable.", + month = jul, + year = 2002, + language = "en" +} + +@ARTICLE{Cespedes2004-tg, + title = "Balance sheets and exchange rate policy", + author = "Céspedes, Luis Felipe and Chang, Roberto and Velasco, Andrés", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 94, + number = 4, + pages = "1183--1193", + abstract = "We study the relation among exchange rates, balance sheets, and + macroeconomic outcomes in a small open economy. Because + liabilities are dollarized,' a real devaluation has detrimental + effects on entreprenurial net worth, which in turn constrains + investment due to financial frictions. But there is an offsetting + effect, int hat devaluation expands home output and the return to + domestic investment, which are also components of net worth. We + show that the impact of an adverse foreign shock can be strongly + magnified by the balance sheet effect of the associated real + devaluation. But the fall in output employment, and investment is + stronger under fixed exchange rates than under flexible rates. + Hence the conventional wisdom, that flexible exchange rates are + better absorbers of real foreign shocks than are fixed rates, + holds in spite of potentially large balance sheet effects.", + month = sep, + year = 2004, + language = "en" +} + +@ARTICLE{Boppart2018-ua, + title = "Exploiting {MIT} shocks in heterogeneous-agent economies: the + impulse response as a numerical derivative", + author = "Boppart, Timo and Krusell, Per and Mitman, Kurt", + journal = "J. Econ. Dyn. Control", + publisher = "Elsevier BV", + volume = 89, + pages = "68--92", + abstract = "We propose a new method for computing equilibria in + heterogeneous-agent models with aggregate uncertainty. The idea + relies on an assumption that linearization offers a good + approximation; we share this assumption with existing + linearization methods. However, unlike those methods, the + approach here does not rely on direct derivation of first-order + Taylor terms. It also does not use recursive methods, whereby + aggregates and prices would be expressed as linear functions of + the state, usually a very high-dimensional object (such as the + wealth distribution). Rather, we rely merely on solving + nonlinearly for a deterministic transition path: we study the + equilibrium response to a single, small “MIT shock” carefully. We + then regard this impulse response path as a numerical derivative + in sequence space and hence provide our linearized solution + directly using this path. The method can easily be extended to + the case of many shocks and computation time rises linearly in + the number of shocks. We also propose a set of checks on whether + linearization is a good approximation. We assert that our method + is the simplest and most transparent linearization technique + among currently known methods. The key numerical tool required to + implement it is value-function iteration, using a very limited + set of state variables.This article is part of a Special Issue + entitled “Fiscal and Monetary Policies”.", + month = apr, + year = 2018, + language = "en" +} + +@ARTICLE{Bems2016-us, + title = "Income-induced expenditure switching", + author = "Bems, Rudolfs and di Giovanni, Julian", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 106, + number = 12, + pages = "3898--3931", + abstract = "This paper shows that an income effect can drive expenditure + switching between domestic and imported goods. We use a unique + Latvian scanner-level dataset, covering the 2008–2009 crisis, to + document several empirical findings. First, expenditure switching + accounted for one-third of the fall in imports, and took place + within narrowly defined product groups. Second, there was no + corresponding within-group change in relative prices. Third, + consumers substituted from expensive imports to cheaper domestic + alternatives. These findings motivate us to estimate a model of + nonhomothetic consumer demand, which explains two-thirds of the + observed expenditure switching. Estimated switching is driven by + income, not changes in relative prices. (JEL E21, F14, F31, F32, + I11, L81)", + month = dec, + year = 2016, + language = "en" +} + +@ARTICLE{Auer2019-zy, + title = "Exports and invoicing: Evidence from the 2015 Swiss franc + appreciation", + author = "Auer, Raphael and Burstein, Ariel and Erhardt, Katharina and + Lein, Sarah M", + journal = "AEA Pap. Proc.", + publisher = "American Economic Association", + volume = 109, + pages = "533--538", + abstract = "Do differences in border price adjustment by currency of + invoicing carry over to allocations? We document the + cross-industry variation in the response of Swiss export prices + and export values by currency of invoicing of border prices in + the aftermath of the large and abrupt Swiss franc (CHF) + appreciation in January 2015. Industries with higher + CHF-invoicing shares (and a larger increase in foreign-currency + denominated prices) experienced substantially weaker export + growth in the two-year period after January 2015.", + month = may, + year = 2019, + language = "en" +} + +@ARTICLE{An2014-qq, + title = "Is devaluation expansionary or contractionary: Evidence based on + vector autoregression with sign restrictions", + author = "An, Lian and Kim, Gil and Ren, Xiaomei", + journal = "J. Asian Econ.", + publisher = "Elsevier BV", + volume = 34, + pages = "27--41", + abstract = "The purpose of the paper is to examine the impact of real + exchange rate changes – real devaluation or real depreciation – + on outputs in 16 countries that fall within one of the three + groups: Latin American countries, Asian countries, and non-G3 + developed countries. For the first time in the contractionary + devaluation literature, the analysis is based on a Vector + Autoregression (VAR) model with sign restrictions method by Uhlig + (2005) and Fry and Pagan (2011). The exchange rate shock is + identified by imposing restrictions on the signs of impulse + responses for a small subset of variables. The findings are as + follows: (1) whether output increases after a real devaluation or + not has little to do with whether the current account improves or + not; (2) Latin American countries are quite homogenous in that + the current account generally improves while output decreases + after real devaluation; and (3) contractionary devaluation could + happen in developed countries as well as in developing countries.", + month = oct, + year = 2014, + language = "en" +} + +@ARTICLE{Aghion2004-lf, + title = "A corporate balance-sheet approach to currency crises", + author = "Aghion, Philippe and Bacchetta, Philippe and Banerjee, Abhijit", + journal = "J. Econ. Theory", + publisher = "Elsevier BV", + volume = 119, + number = 1, + pages = "6--30", + abstract = "This paper presents a general equilibrium currency crisis model + of the ‘third generation’, in which the possibility of currency + crises is driven by the interplay between private firms’ + credit-constraints and nominal price rigidities. Despite our + emphasis on microfoundations, the model remains sufficiently + simple that the policy analysis can be conducted graphically. The + analysis hinges on four main features (i) ex post deviations from + purchasing power parity; (ii) credit constraints a la + Bernanke–Gertler; (iii) foreign currency borrowing by domestic + firms; (iv) a competitive banking sector lending to firms and + holding reserves and a monetary policy conducted either through + open market operations or short-term lending facilities. We + derive sufficient conditions for the existence of a sunspot + equilibrium with currency crises. We show that an interest rate + increase intended to support the currency in a crisis may not be + effective, but that a relaxation of short-term lending facilities + can make this policy effective by attenuating the rise in + interest rates relevant to firms.", + month = nov, + year = 2004, + language = "en" +} + +@ARTICLE{Gertler2007-gb, + title = "External constraints on monetary policy and the financial + accelerator", + author = "Gertler, Mark and Gilchrist, Simon and Natalucci, Fabio M", + journal = "J. Money Credit Bank.", + publisher = "Wiley", + volume = 39, + number = "2-3", + pages = "295--330", + abstract = "We develop a small open economy macroeconomic model where + financial conditions influence aggregate behavior. Our goal is to + explore the connection between the exchange rate regime and + financial distress. We first show that a calibrated version of + the model captures well the behavior of the Korean economy during + its financial crisis period of 1997–98. In particular, the model + accounts for the sharp increase in lending rates and the large + drop in output, employment, investment, and measured + productivity. The financial market frictions play an important + role, further, explaining roughly half the decline in overall + economic activity. We then perform some counterfactual exercises + to illustrate how the fixed exchange rate regime likely + exacerbated the crisis by tying the hands of monetary policy.", + month = mar, + year = 2007, + language = "en" +} + +@ARTICLE{Ruhl2008-tq, + title = "The international elasticity puzzle", + author = "Ruhl, Kim J and {Others}", + publisher = "mimeo", + abstract = "goods—the Armington elasticity—determines the behavior of trade + flows and international prices. International real business cycle + models need low elasticities, in the range of 1 to 2, to", + year = 2008 +} + +@ARTICLE{Giagheddu2020-pb, + title = "The distributional implications of fiscal devaluations", + author = "Giagheddu, Marta", + journal = "SSRN Electron. J.", + publisher = "Elsevier BV", + year = 2020, + language = "en" +} + +@ARTICLE{Fagereng2021-eb, + title = "{MPC} heterogeneity and household balance sheets", + author = "Fagereng, Andreas and Holm, Martin B and Natvik, Gisle J", + journal = "Am. Econ. J. Macroecon.", + publisher = "American Economic Association", + volume = 13, + number = 4, + pages = "1--54", + abstract = "We use sizable lottery prizes in Norwegian administrative panel + data to explore how transitory income shocks are spent and saved + over time and how households’ marginal propensities to consume + (MPCs) vary with household characteristics and shock size. We + find that spending peaks in the year of winning and gradually + reverts to normal within five years. Controlling for all items on + households’ balance sheets and characteristics such as education + and income, it is the amount won, age, and liquid assets that + vary systematically with MPCs. Low-liquidity winners of the + smallest prizes (around US$1,500) are estimated to spend all + within the year of winning. The corresponding estimate for + high-liquidity winners of large prizes (US$8, 300–150,000) is + slightly below one-half. While conventional models will struggle + to account for such high MPC levels, we show that a two-asset + life cycle model with a realistic earnings profile and a luxury + bequest motive can account for both the time profile of + consumption responses and their systematic covariation with + observables. (JEL D12, D15, E21, G51, H24)", + month = oct, + year = 2021, + language = "en" +} + +@TECHREPORT{Cooper1968-qp, + title = "Devaluation and Aggregate Demand", + author = "Cooper, Richard", + institution = "Center Discussion Paper", + abstract = "Bd may be negative, implying a reduction in aggregate money + demand in the devaluing - a condition usually met in devaluing + countries, Most analysis of devaluation has neglected this", + year = 1968 +} + +@ARTICLE{Boehm2023-cc, + title = "The long and Short (Run) of trade elasticities", + author = "Boehm, Christoph E and Levchenko, Andrei A and Pandalai-Nayar, + Nitya", + journal = "Am. Econ. Rev.", + publisher = "American Economic Association", + volume = 113, + number = 4, + pages = "861--905", + abstract = "When countries change most favored nation (MFN) tariffs, partners + that trade on MFN terms experience plausibly exogenous tariff + changes. Using this variation, we estimate the trade elasticity + at short and long horizons with local projections. We find that + the elasticity of tariff-exclusive trade flows is −0.76 in the + short run, and approximately −2 in the long run. Our long-run + estimates are smaller than typical in the literature, and it + takes 7 to10 years to converge to the long run, implying that (i) + the welfare gains from trade are high and (ii) there are + substantial convexities in the costs of adjusting exports. (JEL + C51, F13, F14)", + month = apr, + year = 2023, + language = "en" +} + +@TECHREPORT{Baldwin1988-wi, + title = "Hysteresis in import prices: The beachhead effect", + author = "Baldwin, Richard", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + volume = 78, + number = 2545, + pages = "773--785", + abstract = "International economists typically assume that temporary real + exchange rate shocks can have only temporary real effects -and + no effect at all on the underlying structure of the economy. + This paper shows that even in a simple ``off-the-shelf'' + industrial organization model, this assumption is unfounded; if + market-entry costs are sunk, exchange rate shocks can alter + domestic market structure and thereby have lasting real + effects. In other words, a sufficiently large exchange rate + shock can cause hysteresis in import prices and quantities. + This simple idea has strong implications for exchange rate + theory (Baldwin and Krugman 1986 shows this), for trade policy + (Dixit 1987a discusses this), and for the estimation of trade + equations as the present paper shows. To show that the + theoretical point is not just empirically empty theorizing, we + present evidence which suggests that the recent dollar + overvaluation is an example of a hysteresis-inducing shock. To + this end we demonstrate that the pass-through relationship + shifted in a manner that 13 consistent with the nature and + timing of the market structure changes predicted by the model. + In particular, we find evidence that the structural break + occurred during the rising dollar phase rather than In 1985 as + is commonly asserted. A direct test of the model is not + performed due to data limitations.", + series = "Working Paper Series", + month = mar, + year = 1988 +} + +@TECHREPORT{Auclert2018-zw, + title = "Inequality and aggregate demand", + author = "Auclert, Adrien and Rognlie, Matthew", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + abstract = "We explore the quantitative effects of transitory and + persistent increases in income inequality on equilibrium + interest rates and output. Our starting point is a + Bewley-Huggett-Aiyagari model featuring rich heterogeneity and + earnings dynamics as well as downward nominal wage rigidities. + A temporary rise in inequality, if not accommodated by monetary + policy, has an immediate effect on output that can be + quantified using the empirical covariance between income and + marginal propensities to consume. A permanent rise in + inequality can lead to a permanent Keynesian recession, which + is not fully offset by monetary policy due to a lower bound on + interest rates. We show that the magnitude of the real interest + rate fall and the severity of the steady-state slump can be + approximated by simple formulas involving quantifiable + elasticities and shares, together with two parameters that + summarize the effect of idiosyncratic uncertainty and real + interest rates on aggregate savings. For plausible + parametrizations the rise in inequality can push the economy + into a liquidity trap and create a deep recession. Capital + investment and deficit-financed fiscal policy mitigate the fall + in real interest rates and the severity of the slump.", + month = feb, + year = 2018 +} diff --git a/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/.gitignore b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/.gitignore new file mode 100644 index 00000000..69fa449d --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/.gitignore @@ -0,0 +1 @@ +_build/ diff --git a/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/de-Ferra2019-co_intro.ipynb b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/de-Ferra2019-co_intro.ipynb new file mode 100644 index 00000000..c50b9567 --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/de-Ferra2019-co_intro.ipynb @@ -0,0 +1,28 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## de Ferra, Mitman, and Romei (2019) — Ballpark Entry\n", + "\n", + "**Paper:** Sergio de Ferra, Kurt Mitman, and Federica Romei, \"Household heterogeneity and the transmission of foreign shocks,\" National Bureau of Economic Research, NBER Working Paper 124, 2019.\n", + "\n", + "**Original ballpark author:** Siying Li — 2025-02-23\n", + "\n", + "**Updated by:** Siying Li — 2025-02-23" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.11.0" + } + } +} \ No newline at end of file diff --git a/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/de-Ferra2019-co_prior-literature.ipynb b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/de-Ferra2019-co_prior-literature.ipynb new file mode 100644 index 00000000..4d1c76e6 --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/de-Ferra2019-co_prior-literature.ipynb @@ -0,0 +1,46 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Prior Literature\n", + "\n", + "### Overview\n", + "\n", + "{cite:t}`de-Ferra2019-co` sits at the intersection of two large literatures: **heterogeneous-agent macroeconomics** and **open-economy monetary/exchange-rate policy**. On the domestic side, the paper builds on the incomplete-markets tradition of {cite:t}`Aiyagari1994`, {cite:t}`Huggett1993`, and {cite:t}`Imrohoroglu1989`, where households face uninsurable idiosyncratic income risk and borrowing constraints. A recent wave of work embedded this household heterogeneity into New Keynesian frameworks — notably {cite:t}`KaplanMollViolante2018AER` (\"HANK\"), {cite:t}`AuclertRedistributionChannel2019` on the redistribution channel of monetary policy, {cite:t}`GornemannKuesterNakajima2012`, {cite:t}`Luetticke2015`, and {cite:t}`BayerLuettickePhamDaoTjaden2019` — showing that the distribution of wealth and income matters for how monetary policy transmits to aggregate demand. {cite:t}`KruegerMitmanPerri2016` survey the broader role of household heterogeneity in macroeconomics, and {cite:t}`KaplanViolante2018JEP` provide an accessible overview of these mechanisms.\n", + "\n", + "On the open-economy side, the paper draws on the classic insight of {cite:t}`DiazAlejandro1963` and {cite:t}`KrugmanTaylor1978` that exchange-rate depreciations can be contractionary when they redistribute income from high- to low-spending agents. The standard small-open-economy New Keynesian framework of {cite:t}`GaliMonacelli2005` and {cite:t}`ObstfeldRogoff2000` provides the benchmark setting, while {cite:t}`CespedesChangVelasco2004` and {cite:t}`AghionBacchettaBanerjee2004` introduced balance-sheet effects of exchange-rate movements. {cite:t}`SchmittGroheUribe2016a` studied how downward nominal wage rigidity interacts with currency pegs, {cite:t}`CalvoReinhart2002` documented emerging-market \"fear of floating,\" and {cite:t}`Fornaro2015` analyzed exchange-rate policy during financial crises. By combining heterogeneous-agent incomplete markets with an open-economy setting featuring foreign-currency debt, {cite:t}`de-Ferra2019-co` bridges these two literatures and provides a framework in which household balance-sheet heterogeneity shapes the macroeconomic consequences of foreign shocks and the optimal choice of exchange-rate regime.\n", + "\n", + "### Key Foundational Papers\n", + "\n", + "- {cite:t}`Aiyagari1994` — Canonical incomplete-markets model with idiosyncratic earnings risk and borrowing constraints; foundational for the household side of the model.\n", + "\n", + "- {cite:t}`KaplanMollViolante2018AER` — \"Monetary Policy According to HANK\": showed that household heterogeneity fundamentally alters monetary policy transmission, motivating the extension to an open-economy setting.\n", + "\n", + "- {cite:t}`AuclertRedistributionChannel2019` — Formalized the redistribution channel of monetary policy, decomposing how interest-rate changes affect agents differently depending on their balance sheets.\n", + "\n", + "- {cite:t}`DiazAlejandro1963` and {cite:t}`KrugmanTaylor1978` — Classic papers on contractionary devaluations through redistribution, the open-economy mechanism at the heart of {cite:t}`de-Ferra2019-co`.\n", + "\n", + "- {cite:t}`GaliMonacelli2005` — Benchmark small-open-economy New Keynesian model that provides the standard framework for analyzing exchange-rate regimes.\n", + "\n", + "- {cite:t}`SchmittGroheUribe2016a` — Analyzed how downward nominal wage rigidity makes currency pegs costly, a key trade-off that {cite:t}`de-Ferra2019-co` re-examines with heterogeneous agents.\n", + "\n", + "- {cite:t}`BoppartKrusellMitman2018` — Developed the MIT-shock computational method for heterogeneous-agent economies used to solve the model." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.11.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} \ No newline at end of file diff --git a/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/de-Ferra2019-co_subsequent-literature.ipynb b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/de-Ferra2019-co_subsequent-literature.ipynb new file mode 100644 index 00000000..fcf7283e --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/de-Ferra2019-co_subsequent-literature.ipynb @@ -0,0 +1,45 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Subsequent Literature\n", + "\n", + "### Overview of how the paper has been built upon\n", + "\n", + "The subsequent literature has largely turned {cite:t}`de-Ferra2019-co`’s core contribution into a broader **open-economy HANK** research program. A major line of work extends heterogeneous-agent New Keynesian models to open economies to study exchange rates, redistribution, and optimal policy. Examples include work that sizes up the real income channel of exchange rates {cite:t}`exchange_auclert_2021`, derives optimal monetary policy in open economies with inequality {cite:t}`inequality_acharya_2025`, and studies consumption heterogeneity in open economies {cite:t}`consumption_chen_2023`. Related contributions examine redistribution and monetary policy in open economies {cite:t}`monetary_guo_2020` and provide a microfounded theory of “fear of floating” that builds on household balance-sheet heterogeneity {cite:t}`theory_bianchi_2025`. The framework is also increasingly used for **fiscal questions** in open economies, including fiscal multipliers {cite:t}`fiscal_druedahl_2025` and debt consolidation in multi-country settings {cite:t}`debt_chen_2025`.\n", + "\n", + "A second strand connects household heterogeneity to **financial crises and capital flows**, especially sudden stops. This work studies how inequality and balance sheets interact with asset prices and crisis dynamics (e.g., {cite:p}`inequality_villalvazo_2025`; {cite:p}`sudden_vaughn_2025`) and asks broader questions about international capital allocation {cite:t}`capital_deferra_2021`. On the empirical side, {cite:t}`anatomy_gyongyosi_2021` and {cite:t}`foreign_gyngysi_2025` provide micro-level evidence from foreign-currency debt crises that directly speak to the mechanisms in {cite:t}`de-Ferra2019-co`.\n", + "\n", + "A third strand applies the open-economy HANK toolkit to **contemporary policy shocks** such as energy shocks and trade fragmentation (e.g., {cite:p}`managing_auclert_2023`; {cite:p}`trade_ambrosino_2026`; {cite:p}`energy_bobau_2025`). Across these themes, key open questions remain: endogenous household currency composition of debt, nonlinear crisis dynamics with occasionally binding constraints, joint optimal policy across multiple instruments, and broader cross-country empirical validation.\n", + "\n", + "### Key subsequent papers and their contributions\n", + "\n", + "1. **{cite:t}`inequality_acharya_2025`**: Derives optimal monetary policy in an open-economy setting with inequality/heterogeneity, pushing the literature from positive analysis toward normative policy design.\n", + "\n", + "2. **{cite:t}`theory_bianchi_2025`**: Provides a microfounded explanation for why emerging markets avoid floating exchange rates, grounded in balance-sheet heterogeneity and the distribution of foreign-currency exposure.\n", + "\n", + "3. **{cite:t}`fiscal_auclert_2024`**: A comprehensive policy framework for heterogeneous-agent models that open-economy extensions build on.\n", + "\n", + "4. **{cite:t}`fiscal_druedahl_2025`**: Extends the heterogeneous-household approach to open-economy fiscal policy, strengthening the case for these models as policy tools.\n", + "\n", + "5. **{cite:t}`inequality_villalvazo_2025`**: Connects household heterogeneity to crisis dynamics and asset pricing in sudden-stop episodes, linking open-economy HANK to international finance and crises." + ], + "id": "e1e46152" + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.11.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} \ No newline at end of file diff --git a/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/de-Ferra2019-co_summary.ipynb b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/de-Ferra2019-co_summary.ipynb new file mode 100644 index 00000000..fe16898a --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/de-Ferra2019-co_summary.ipynb @@ -0,0 +1,36 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Summary\n", + "\n", + "This notebook summarizes {cite:t}`de-Ferra2019-co`.\n", + "\n", + "For a detailed discussion of the foundational literature, see the\n", + "[Prior Literature](de-Ferra2019-co_prior-literature.ipynb) notebook.\n", + "\n", + "For how later work builds on these ideas, see the\n", + "[Subsequent Literature](de-Ferra2019-co_subsequent-literature.ipynb) notebook.\n", + "\n", + "## Notes for completing this summary\n", + "\n", + "- Summarize the main findings, model, and methodology.\n", + "- Fix only clear typos/grammar if you are editing copied text.\n", + "- Use MyST citations whenever you mention specific papers by name." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.11.0" + } + } +} \ No newline at end of file diff --git a/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/index.md b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/index.md new file mode 100644 index 00000000..ce4034f0 --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/index.md @@ -0,0 +1,15 @@ +--- +title: "Household heterogeneity and the transmission of foreign shocks — Ballpark Entry" +--- + +```{include} de-Ferra2019-co_intro.ipynb +``` + +```{include} de-Ferra2019-co_prior-literature.ipynb +``` + +```{include} de-Ferra2019-co_summary.ipynb +``` + +```{include} de-Ferra2019-co_subsequent-literature.ipynb +``` diff --git a/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/myst.yml b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/myst.yml new file mode 100644 index 00000000..4da85b64 --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/myst.yml @@ -0,0 +1,16 @@ +version: 1 + +project: + title: "Household heterogeneity and the transmission of foreign shocks — Ballpark Entry" + bibliography: + - self.bib + - references.bib + - subsequent-literature.bib + toc: + - file: de-Ferra2019-co_intro.ipynb + - file: de-Ferra2019-co_prior-literature.ipynb + - file: de-Ferra2019-co_summary.ipynb + - file: de-Ferra2019-co_subsequent-literature.ipynb + +site: + title: "Household heterogeneity and the transmission of foreign shocks — Ballpark Entry" diff --git a/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/references.bib b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/references.bib new file mode 100644 index 00000000..cd465781 --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/references.bib @@ -0,0 +1,466 @@ +@article{AghionBacchettaBanerjee2004, + author = {Aghion, Philippe and Bacchetta, Philippe and Banerjee, Abhijit}, + title = {A Corporate Balance-Sheet Approach to Currency Crises}, + journal = {Journal of Economic Theory}, + year = {2004}, + volume = {119}, + pages = {6--30} +} + +@article{Aiyagari1994, + author = {Aiyagari, S. Rao}, + title = {Uninsured Idiosyncratic Risk and Aggregate Saving}, + journal = {Quarterly Journal of Economics}, + year = {1994}, + volume = {109}, + pages = {659--684} +} + +@article{Aiyagari1995, + author = {Aiyagari, S. 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O.}, + title = {Open-Economy Inflation Targeting}, + journal = {Journal of International Economics}, + year = {2000}, + volume = {50}, + pages = {155--183} +} + +@unpublished{WernerGyongyosi2018, + author = {Werner, E. and Gy{\"o}ngy{\"o}si, G.}, + title = {Household Debt Revaluation and the Real Economy: Evidence from a Foreign Currency Debt Crisis}, + year = {2018}, + note = {Working paper} +} diff --git a/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/self.bib b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/self.bib new file mode 100644 index 00000000..b5955e7d --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/self.bib @@ -0,0 +1,11 @@ +@TECHREPORT{de-Ferra2019-co, + title = "Household heterogeneity and the transmission of foreign shocks", + author = "de Ferra, Sergio and Mitman, Kurt and Romei, Federica", + publisher = "National Bureau of Economic Research", + institution = "National Bureau of Economic Research", + address = "Cambridge, MA", + volume = 124, + pages = "1--18", + month = oct, + year = 2019 +} diff --git a/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/subsequent-literature.bib b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/subsequent-literature.bib new file mode 100644 index 00000000..0683ecf8 --- /dev/null +++ b/models/We-Would-Like-In-Econ-ARK/de-Ferra2019-co/subsequent-literature.bib @@ -0,0 +1,500 @@ +% Exported from Litmaps (https://www.litmaps.com) + +@article{debt_chen_2023, + title = {Debt Targets and Fiscal Consolidation in a Two-Country HANK Model: The Case of Euro Area}, + doi = {10.2139/ssrn.4343870}, + author = {Chen, Xiaoshan and Lazarakis, Spyridon and Varthalitis, Petros}, + journal = {Social Science Research Network}, + year = {2023}, + litmapsId = {253427963} +} + + +@article{trade_ambrosino_2026, + title = {Trade fragmentation, inflationary pressures and monetary policy}, + doi = {10.1016/j.jinteco.2026.104219}, + author = {Ambrosino, Ludovica and Chan, Jenny and Tenreyro, Silvana}, + journal = {Journal of International Economics}, + year = {2026}, + litmapsId = {297845143} +} + + +@article{crosssectional_ferra_2022, + title = {Cross-Sectional Facts for International Macroeconomists CONFERENCE DRAFT}, + author = {Ferra, Sergio}, + year = {2022}, + litmapsId = {236097959} +} + + +@article{fiscal_auclert_2024, + title = {Fiscal and Monetary Policy with Heterogeneous Agents}, + doi = {10.3386/w32991}, + author = {Auclert, Adrien and Rognlie, M. and Straub, Ludwig}, + journal = {Social Science Research Network}, + year = {2024}, + litmapsId = {278341176} +} + + +@article{open_zhou_2021, + title = {Open Economy, Redistribution, and the Aggregate Impact of External Shocks}, + doi = {10.2139/ssrn.3902121}, + author = {Zhou, Hao}, + journal = {SSRN Electronic Journal}, + year = {2021}, + litmapsId = {155623852} +} + + +@article{sudden_vaughn_2025, + title = {Sudden Stops with Heterogeneous Agents}, + doi = {10.2139/ssrn.5760741}, + author = {Vaughn, Mitchell and Vaughn, Mitchell}, + journal = {SSRN Electronic Journal}, + year = {2025}, + litmapsId = {293896888} +} + + +@article{essays_hong_2021, + title = {Essays on Micro-Level Consumption Behavior and Open Economy Macroeconomics}, + doi = {10.7916/d8-6ytk-m656}, + author = {Hong, Seungki}, + year = {2021}, + litmapsId = {53394525} +} + + +@article{liquidity_bianchi_2021, + title = {Liquidity Traps, Prudential Policies, and International Spillovers}, + doi = {10.21034/wp.780}, + author = {Bianchi, Javier and Coulibaly, Louphou}, + journal = {SSRN Electronic Journal}, + year = {2021}, + litmapsId = {39965579} +} + + +@article{sudden_vaughn_2025, + title = {Sudden Stops with Heterogeneous Agents}, + doi = {10.2139/ssrn.5760741}, + author = {Vaughn, Mitchell and Vaughn, Mitchell}, + journal = {SSRN Electronic Journal}, + year = {2025}, + litmapsId = {293758027} +} + + +@article{spousal_bardczy_2020, + title = {Spousal Insurance and the Amplification of Business Cycles}, + author = {Bardóczy, Bence}, + year = {2020}, + litmapsId = {245023951} +} + + +@article{inequality_villalvazo_2025, + title = {Inequality and asset prices during sudden stops}, + doi = {10.1016/j.jmoneco.2025.103872}, + author = {Villalvazo, Sergio}, + journal = {Journal of Monetary Economics}, + year = {2025}, + litmapsId = {293913767} +} + + +@article{us_dash_2020, + title = {U.S. monetary policy and income inequality in small open economies}, + doi = {10.2139/ssrn.3755250}, + author = {Dash, Pradyumna and Kumar, Ankit and Subramanian, Chetan}, + journal = {Social Science Research Network}, + year = {2020}, + litmapsId = {67245040} +} + + +@article{foreign_gyngysi_2025, + title = {The Foreign Currency Fisher Channel: Evidence from Households}, + doi = {10.2139/ssrn.5487020}, + author = {Gyöngyösi, Győző and Rariga, Judit and Verner, Emil}, + journal = {SSRN Electronic Journal}, + year = {2025}, + litmapsId = {290834750} +} + + +@article{sanctions_itskhoki_2022, + title = {Sanctions and the Exchange Rate}, + doi = {10.1007/s10272-022-1050-9}, + author = {Itskhoki, Oleg and Mukhin, D.}, + journal = {Intereconomics. Review of European Economic Policy}, + year = {2022}, + litmapsId = {277820190} +} + + +@article{spillovers_acharya_2024, + title = {Spillovers and Spillbacks}, + doi = {10.2139/ssrn.4762952}, + author = {Acharya, Sushant and Pesenti, Paolo A.}, + journal = {Social Science Research Network}, + year = {2024}, + litmapsId = {270744693} +} + + +@article{tank_camara_2022, + title = {TANK meets Diaz-Alejandro: Household heterogeneity, non-homothetic preferences&policy design}, + author = {Camara, Santiago}, + year = {2022}, + litmapsId = {240710056} +} + + +@article{twocountry_yang_2023, + title = {Two-Country HANK and trade friction}, + doi = {10.1371/journal.pone.0288976}, + author = {Yang, Yujie and Zhang, Chenxing and Hou, Wenwen}, + journal = {PLoS ONE}, + year = {2023}, + litmapsId = {264839459} +} + + +@article{consumption_chen_2022, + title = {Consumption Heterogeneity and Monetary Policy in an Open Economy}, + doi = {10.3386/w29835}, + author = {Chen, Sihao and Devereux, Michael and Shi, K. and Xu, Jenny}, + journal = {Social Science Research Network}, + year = {2022}, + litmapsId = {285425113} +} + + +@article{fiscal_domnguezdaz_2025, + title = {Fiscal stimulus and productivity: simulating the NGEU program with an endogenous growth model}, + doi = {10.1007/s13209-025-00304-1}, + author = {Domínguez-Díaz, Rubén and Hurtado, Samuel and Menéndez, Carolina}, + journal = {SERIEs}, + year = {2025}, + litmapsId = {284480917} +} + + +@article{consumption_chen_2023, + title = {Consumption Heterogeneity and Monetary Policy in an Open Economy}, + doi = {10.1016/j.jmoneco.2023.07.001}, + author = {Chen, Sihao and Devereux, Michael B. and Shi, Kang and Xu, Juanyi}, + journal = {Journal of Monetary Economics}, + year = {2023}, + litmapsId = {223004096} +} + + +@article{mpcs_hong_2022, + title = {MPCs in an emerging economy: Evidence from Peru}, + doi = {10.1016/j.jinteco.2022.103712}, + author = {Hong, Seung-je}, + journal = {Journal of International Economics}, + year = {2022}, + litmapsId = {250701305} +} + + +@article{macroeconomic_domnguezdaz_2025, + title = {The macroeconomic effects of unemployment insurance extensions: A policy rule-based identification approach}, + doi = {10.53479/39665}, + author = {Domínguez-Díaz, Rubén and Zhang, Donghai}, + journal = {Documento de trabajo}, + year = {2025}, + litmapsId = {286807841} +} + + +@article{international_dash_2025, + title = {International spillovers of US monetary policy on inequality}, + doi = {10.1016/j.econmod.2025.107439}, + author = {Dash, Pradyumna and Kumar, Ankit and Subramanian, Chetan}, + journal = {Economic Modelling}, + year = {2025}, + litmapsId = {294960365} +} + + +@article{distributional_giagheddu_2020, + title = {The Distributional Implications of Fiscal Devaluations}, + doi = {10.2139/ssrn.3651258}, + author = {Giagheddu, Marta}, + year = {2020}, + litmapsId = {210535803} +} + + +@article{role_albacete_2025, + title = {The Role of MPC Heterogeneity for Fiscal Policy in the Euro Area}, + doi = {10.1016/j.jmacro.2025.103719}, + author = {Albacete, Nicolás and Fessler, Pirmin and Pekanov, Atanas}, + journal = {Journal of Macroeconomics}, + year = {2025}, + litmapsId = {290473103} +} + + +@article{reprint_acharya_2025, + title = {Reprint of: Inequality and optimal monetary policy in the open economy}, + doi = {10.1016/j.jinteco.2025.104132}, + author = {Acharya, Sushant and Challe, Édouard}, + journal = {Journal of International Economics}, + year = {2025}, + litmapsId = {289749269} +} + + +@article{inequality_acharya_2025, + title = {Inequality and optimal monetary policy in the open economy}, + doi = {10.1016/j.jinteco.2025.104076}, + author = {Acharya, Sushant and Challe, Édouard}, + journal = {Journal of International Economics}, + year = {2025}, + litmapsId = {285169859} +} + + +@article{monetary_guo_2020, + title = {Monetary Policy and Redistribution in Open Economies}, + doi = {10.1086/723410}, + author = {Guo, Xing and Ottonello, Pablo and Perez, D.}, + journal = {Journal of Political Economy Macroeconomics}, + year = {2020}, + litmapsId = {278541451} +} + + +@article{managing_auclert_2023, + title = {Managing an Energy Shock: Fiscal and Monetary Policy}, + doi = {10.3386/w31543}, + author = {Auclert, Adrien and Monnery, Hugo and Rognlie, M. and Straub, Ludwig}, + journal = {Social Science Research Network}, + year = {2023}, + litmapsId = {263545254} +} + + +@article{hank_boehl_2025, + title = {HANK on Speed: Robust Nonlinear Solutions using Automatic Differentiation}, + doi = {10.1016/j.jet.2025.106106}, + author = {Boehl, Gregor}, + journal = {Journal of Economics Theory}, + year = {2025}, + litmapsId = {292385069} +} + + +@article{theory_bianchi_2025, + title = {A theory of fear of floating}, + doi = {10.1016/j.jmoneco.2025.103869}, + author = {Bianchi, Javier and Coulibaly, Louphou}, + journal = {Journal of Monetary Economics}, + year = {2025}, + litmapsId = {293827534} +} + + +@article{exchange_oskolkov_2021, + title = {Exchange Rate Policy and Heterogeneity in Small Open Economies}, + doi = {10.2139/ssrn.3923784}, + author = {Oskolkov, A.}, + journal = {Social Science Research Network}, + year = {2021}, + litmapsId = {160469382} +} + + +@article{debt_chen_2025, + title = {Debt targets and fiscal consolidation in a Euro Area HANK model}, + doi = {10.3982/qe2340}, + author = {Chen, Xiaoshan and Lazarakis, Spyridon and Varthalitis, Petros}, + journal = {Quantitative Economics}, + year = {2025}, + litmapsId = {294352067} +} + + +@article{energy_bobau_2025, + title = {Energy price shocks, monetary policy and inequality}, + doi = {10.1016/j.euroecorev.2025.104986}, + author = {Bobașu, Alina and Dobrew, Michael and Repele, Amalia}, + journal = {European Economic Review}, + year = {2025}, + litmapsId = {284371583} +} + + +@article{excess_aggarwal_2023, + title = {Excess Savings and Twin Deficits: The Transmission of Fiscal Stimulus in Open Economies}, + doi = {10.1086/723586}, + author = {Aggarwal, Rishabh and Auclert, Adrien and Rognlie, M. and Straub, Ludwig}, + journal = {NBER macroeconomics annual}, + year = {2023}, + litmapsId = {205544963} +} + + +@article{capital_deferra_2021, + title = {Why Does Capital Flow from Equal to Unequal Countries}, + author = {Ferra, Sergio de and Mitman, Kurt and Romei, Federica}, + journal = {Research Papers in Economics}, + year = {2021}, + litmapsId = {213002182} +} + + +@article{heterogeneous_fan_2024, + title = {Heterogeneous impacts of sudden stops of international capital flows on economic growth}, + doi = {10.1111/roie.12759}, + author = {Fan, Xiaoyun and Wang, Wei and Xu, Zitong and Yang, Haoxi}, + journal = {Review of International Economics}, + year = {2024}, + litmapsId = {272182321} +} + + +@article{exchange_auclert_2021, + title = {Exchange Rates and Monetary Policy with Heterogeneous Agents: Sizing up the Real Income Channel}, + doi = {10.3386/w28872}, + author = {Auclert, Adrien and Rognlie, M. and Souchier, Martin and Straub, Ludwig}, + journal = {Social Science Research Network}, + year = {2021}, + litmapsId = {197701648} +} + + +@article{inequality_villalvazo_2024, + title = {Inequality and Asset Prices during Sudden Stops}, + doi = {10.17016/ifdp.2024.1388}, + author = {Villalvazo, Sergio}, + journal = {International Finance Discussion Paper}, + year = {2024}, + litmapsId = {271602771} +} + + +@article{iq_dacunto_2019, + title = {IQ, Expectations, and Choice}, + doi = {10.2139/ssrn.3326123}, + author = {D’Acunto, Francesco and Hoang, Daniel and Paloviita, Maritta and Weber, Michael}, + journal = {Social Science Research Network}, + year = {2019}, + litmapsId = {281191596} +} + + +@article{theory_bianchi_2025, + title = {A theory of fear of floating}, + doi = {10.1016/j.jmoneco.2025.103869}, + author = {Bianchi, Javier and Coulibaly, Louphou}, + journal = {Journal of Monetary Economics}, + year = {2025}, + litmapsId = {293381521} +} + + +@article{longterm_doan_2025, + title = {Long-term interactions among food prices, exchange rate and household real income in Türkiye}, + doi = {10.3897/ejfa.2025.127736}, + author = {Doğan, H. and Ağızan, Kemalettin and Bayramoğlu, Zeki and Candemir, Serhan}, + journal = {Emirates Journal of Food and Agriculture}, + year = {2025}, + litmapsId = {285965630} +} + + +@article{monetary_bellifemine_2025, + title = {Monetary unions with heterogeneous fiscal space}, + doi = {10.1016/j.jinteco.2025.104092}, + author = {Bellifemine, Marco and Couturier, Adrien and Jamilov, Rustam}, + journal = {Journal of International Economics}, + year = {2025}, + litmapsId = {286874227} +} + + +@article{complex_nwogugu_2021, + title = {Complex Systems, Pandemics/Epidemics and the Welfare-State, Part-1: “Policy-Contagion” And Cross-Border Spillovers}, + doi = {10.1007/978-3-030-71419-2_6}, + author = {Nwogugu, Michael I.C.}, + journal = {Springer eBooks}, + year = {2021}, + litmapsId = {121432384} +} + + +@article{fiscal_druedahl_2025, + title = {Fiscal Multipliers in Small Open Economies with Heterogeneous Households}, + doi = {10.1057/s41308-025-00281-2}, + author = {Druedahl, Jeppe and Ravn, S. H. and Sunder-Plassmann, Laura and Sundram, Jacob and Waldstrøm, Nicolai}, + journal = {IMF Economic Review}, + year = {2025}, + litmapsId = {292207287} +} + + +@article{anatomy_gyongyosi_2021, + title = {The Anatomy of Consumption in a Household Foreign Currency Debt Crisis}, + doi = {10.2139/ssrn.3989915}, + author = {Gyongyosi, Gyozo and Rariga, Judit and Verner, Emil}, + journal = {SSRN Electronic Journal}, + year = {2021}, + litmapsId = {94721411} +} + + +@article{global_yildirim_2022, + title = {Global financial risk, the risk-taking channel, and monetary policy in emerging markets}, + doi = {10.1016/j.econmod.2022.106042}, + author = {Yildirim, Zekeriya and Yildirim, Zekeriya}, + journal = {Economic Modelling}, + year = {2022}, + litmapsId = {230094187} +} + + +@article{household_gerke_2024, + title = {On Household Labour Supply in Sticky-Wage HANK models}, + doi = {10.2139/ssrn.4744547}, + author = {Gerke, Rafael and Giesen, Sebastian and Lozej, Matija and Röttger, Joost}, + journal = {Social Science Research Network}, + year = {2024}, + litmapsId = {270220264} +} + + +@article{openeconomy_cavallino_2020, + title = {The Open-Economy Elb: Contractionary Monetary Easing and the Trilemma}, + author = {Cavallino, Paolo and Sandri, Damiano}, + year = {2020}, + litmapsId = {40912385} +} + + +@article{export_tumaini_2025, + title = {Export And Economic Growth in Tanzania: Co-Integration and Causality Analysis}, + doi = {10.26437/ajar.v11i1.883}, + author = {Tumaini, J. 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