From 34522d2b85b212ace2f27d34b44f7885aafbca12 Mon Sep 17 00:00:00 2001 From: Jiani Gao <31349292+jennygjn@users.noreply.github.com> Date: Mon, 18 Sep 2017 22:42:11 -0400 Subject: [PATCH] . --- code for hw2q2.m | 53 +++++++++++++++++++++++++++++++++++ hmmm figure for value fn.fig | Bin 0 -> 12942 bytes hmmm figure for value fn.jpg | Bin 0 -> 13345 bytes hw2 question2.pdf | Bin 0 -> 88110 bytes 4 files changed, 53 insertions(+) create mode 100644 code for hw2q2.m create mode 100644 hmmm figure for value fn.fig create mode 100644 hmmm figure for value fn.jpg create mode 100644 hw2 question2.pdf diff --git a/code for hw2q2.m b/code for hw2q2.m new file mode 100644 index 0000000..d1c7299 --- /dev/null +++ b/code for hw2q2.m @@ -0,0 +1,53 @@ +close all +delta=0.025 %depreciation rate +alpha=0.35 %capital share of income +beta=0.99 %discount rate +sigma=2 %utility parameter + + +nbk=20 %number of data points int he grid +nba=2 %number of value for the shocks +crit=1 %convergence criterion +epsi=1e-1 %convergence parameter + + +PI=[phh 1-phh;1-pll,pll] %transition matrix +pihh=0.977 %this is pi hh +pill=0.926 %p ll +ah=1.1 +al=0.678 +A=[ah al] %stochastic matrix + + +kmin=0.1 +kmax=5 +k=linspace(kmin,kmax,nbk)% k grid +c=zeros(nbk,nba) +util=zeros(nbk,nba) +v=zeros(nbk,nba) +Tv=zeros(nbk,nba) + + +%%%%%%%%%%%%%%%%%%set up%%%%%%%%%%%%%%%%%%%%% + +while crit>epsi + for i=1:nbk + for j=1:nba + c=A(j)*k(i)^alpha+(1-delta)*k(i)-k + neg=find(c<0) + c(neg)=NaN + util(:,j)=(c.^(1-sigma))/(1-sigma) + util(neg,j)=-1e12 + end + [Tv(i,:),pl(1,:)]=max(util+beta*(v*PI)) + end + crit=max(abs(Tv-v)) + v=Tv + i=i+1 +end + +plot(v(:,1)) +hold on +plot(v(:,2)) + + diff --git a/hmmm figure for value fn.fig b/hmmm figure for value fn.fig new file mode 100644 index 0000000000000000000000000000000000000000..b8be872f33ab41604918f0acb14ae43c3694dc7c GIT binary patch literal 12942 zcma)hWl$Vk%q|p%!s6~wptwtMD^jeuyA*eKDemqLTZ+586}RH93oO3aqPOq&&7HYF zZ)7Hu{K=d%NuHdeD6Xy`Ew${PJkz8)MmAH}H74 zN|wNiR{0B%mJ-!&>R%Eyil$_d=BQay{;vBg(It-q|k2 z;%3bGu+_Eg3$fhlTFv5ygW1|b6l1XgtK7jg{?%@p(Iin(oSIes={xxA;2@-M?(|Yx zBQLG6jCvSZZi|*yC$+H3MFrL_dOw8|7gH;Va)P6aYA)7>LYqit)`GNIGv?c$Vqkk# z>_V>>^3(xWBW?4#-|blfT7FccB)5x zsg`kP`fWzgD)c-NOz{MabK$d?-~2nbnNT=(5A#hd1q?c%t$M3QAaYOl1B1UsaauEQ z4WslX_9j~?2IMAL73x-v9;`QVDh*%>1)mZsjrWBXMC@=`w`Q`0;6fDt3?XNDK+qsD z%1AKSycaF+P?5&UAvezaO<1~8Xi<$o(FF68{N zWFbiz-Rep;!N5?CXkor??M^T@~9B9 zp^)iIwuYfNad=C~-!40Q!dk4G(n=G)fxdMIdVy9mM#5`B>vy-E42HVPp84nZACNue z-<96^&QE;Y!MZ087=|F5iz0OteKXkU(qK_-z2(`zq&C((kBg7K^SvPu0VjcVfdB!I zvm2^gCWS~a?T|apo)5CKzr|keLs~pLRZR+}*3s)P{*k0*dXmCf;}K2YKv&?3E8LlNAGjz`O`CYfXxx2Gz zwr8SgsoQaPKOWN5vVR3tzjfDrzP|!e1Y8MK8)Ta*3318TIvR9)_IrjcjjVV&e55FD zmIRPKKaCPr$6a1^-;Bak`@26imvzWkpQB$4%nh^Zreqrh9OU!raxIN&>F94;%(a!x zk(+rrV9?QoQ2zc36aS#=4X0kt*IM8#_`#|$krcaJT3~7=KfQhn2k&(A$6Onk=^WxN zZj_Z}97x@G;aj$m>!bej`Ie^M)umlSn=kh92`9 zOg#r-SBt1GB7Dt??=`!1Ys`5Q2yUE6Yzp?os^63xE!q2nn4zh)oQP}z0<6Cs!xQDp z#!%P%5Gf*JVgP{lb>)RBq_hBK#LCpt#KH`;bFg=`d$>=4iHnVh!lkm8fJWN}hntTU zvW(Va;y zj+g3`*I>`0VMAB=GeFRO1lBGa9rK&1)C~a>yUvyQL=V& zRsn$}1_}u2V`&x>{9)*ig1@(ayKrZ^nqG?a>xxv|DP09+xwSCIk>>Kppx&%m!w3RV zY5kwl1S&qt9%0K9C@`FaM8O^~i2OUkNpWTRx~8A9wag4pu;mjX-T%$w_pvp@lZSz5<7Wd`d(V~_aNC6 zQKWDM6)_ANq5>h>x#2Q)}%GrE3G>tdZwe-=oRQgSx zjX((zPMicuyNZ$|KNA)Dp&&z8akAgdg9u@$h$)i(%WCKIe_7>f>!gs%VAU-8*Ub8_ z$=(Fp>6nc%O(6QQ3pQpnkN&V~CLpW;c6tCy^Di_#XKXY{TLjQoHURK4VHCT7t8tQk zI2m|jtc@e1D_Kj8B?YDPs^(&v--3|Js>!OV$+P?u0*RN09?bQfcDNBGlbY(GhyKSY zf5?z6&ULY)-3Mp@A!y}EQFv+Hv1}Bd-w3iG=%1Z20$90&as4C(34w9cRJCn*WYiHAWk; 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