307 lines
7.7 KiB
Matlab
307 lines
7.7 KiB
Matlab
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function [ys,params,check1] = Q3_steadystate(junk, exs, M_, options_)
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for j=1:size(M_.param_names,1)
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eval([M_.param_names{j},' = M_.params(j);'])
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assignin('base',M_.param_names{j},M_.params(j));
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end
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check1=0;
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if isempty(DDYN), DDYN=1; end
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E_EX_RW = E_EX_INOMW - GPW0;
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E_EX_R = 1/BETAE-1;
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% if SIMFLAG==0,
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E_EX_RW = E_EX_R;
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E_EX_INOMW = E_EX_RW + GPW0;
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% end
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GTFP0 = (ALPHAE+ALPHAGE-1)/ALPHAE*GY0-(2-ALPHAE-ALPHAGE)/ALPHAE*GPCPI0;
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GYW0 = GY0;
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% DELTAKE = (DELTAE+GPOP0)/(1+GPOP0);
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% DELTAKGE = (DELTAGE+GPOP0)/(1+GPOP0);
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DELTAKE = (DELTAE+GPOP0);
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DELTAKGE = (DELTAGE+GPOP0);
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M_.params(strcmp('E_EX_RW', M_.param_names)) = E_EX_RW;
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M_.params(strcmp('GYW0', M_.param_names)) = GYW0;
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M_.params(strcmp('GTFP0', M_.param_names)) = GTFP0;
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% end;
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%SE=0.5*(SESUM+SEDIFF);
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SWE=SE;
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E_ETA =(1-TAUE);
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% E_DEPRAT = DEPRAT0;
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% E_DEPRAT1 = DEPRAT0;
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% E_DEPRAT2 = DEPRAT0;
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E_GC = GY0;
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E_GCL = GY0+GPOP0;
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E_GCLC = GY0;
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E_GCNLC = GY0;
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E_GE = GP0 - GPW0;
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E_GER =0;
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E_GEX=GY0;
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E_GEXL = GY0+GPOP0+DGEX;
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E_GG =GY0;
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E_GGL =GY0+GPOP0;
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E_GI =GY0+GPCPI0;
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E_GIG = E_GI;
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E_GIL =GY0+GPCPI0+GPOP0;
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E_GIM=GY0;
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E_GIML = GY0+GPOP0+DGIM;
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E_GK =E_GI;
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E_GKG =E_GI;
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E_GL =0;
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E_GPOPA = GPOP0;
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E_GTFP = (ALPHAE+ALPHAGE-1)/ALPHAE*GY0-(2-ALPHAE-ALPHAGE)/ALPHAE*GPCPI0;
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E_GTFPUCAP = ALPHAE*E_GTFP;
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E_GUC = 0;
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E_GUCAP = 0;
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E_GWRY = 0;
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E_GY=GY0;
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E_GYL=GY0+GPOP0;
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E_GTAX = GY0+GP0;
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E_GTR = GY0;
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E_GYPOT=GY0;
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E_GYW=GYW0;
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E_INOM = E_EX_R+GP0;
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E_INOMW =E_EX_INOMW;
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E_LOL = 0;
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% E_NPART = NPART0;
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E_BWRY = (E_EX_RW - E_EX_R)/RPREME;
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TBYN = (-E_INOM+GPOP0+GP0+GY0)*E_BWRY;
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E_TBYN=TBYN;
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E_LYWY = LYWY0;
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M_.params(strcmp('LYWY0', M_.param_names)) = LYWY0;
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YWY = exp(LYWY0);
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% E_LIK = log(DELTAKE+GY0+GPCPI0)-(GY0+GPCPI0);
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% E_LIKG = log(DELTAKGE+GY0+GPCPI0)-(GY0+GPCPI0);
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% IK = (DELTAKE+GY0+GPCPI0)/exp(GY0+GPCPI0);
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E_LIK = log(DELTAKE+GY0+GPCPI0);
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E_LIKG = log(DELTAKGE+GY0+GPCPI0);
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IK = (DELTAKE+GY0+GPCPI0);
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if DDYN==0,
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E_LYKPPI = E_LIK-log(ISN);
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YKN = IK/ISN;
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else
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YKN = (E_EX_R+RPREMK+DELTAE)/(1-TP)/(1-TAUE)/(1-ALPHAE);
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E_LYKPPI=log(YKN);
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ISN=IK/YKN;
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M_.params(strcmp('ISN', M_.param_names)) = ISN;
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assignin('base','ISN',ISN);
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end
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% if SIMFLAG == 1,
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% UCAP0 = (1-TAUE)*(1-ALPHAE)*exp(E_LYKPPI)/A1E;
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% set_param_value('UCAP0',UCAP0);
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% % assignin('base','UCAP0',UCAP0);
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% % M_.params(strmatch('UCAP0',M_.param_names,'exact')) = UCAP0;
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% set_param_value('SIMFLAG',-1);
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% if abs(E_EX_RW - E_EX_R)<1.e-8,
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% pname={'L0'};
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% eqind=10;
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% % L0 = fzero(@(x) quest1_steadystate_util(x, pname, eqind),L0);
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% L0 = fzero(@(x) quest1_steadystate_util(x, pname),L0);
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% LER0=0;
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% else
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% while abs(quest1_steadystate_util)>options_.dynatol,
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% pname={'L0'};
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% eqind=10;
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% L0 = fzero(@(x) quest1_steadystate_util(x, pname, eqind),L0);
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% pname={'LER0'};
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% eqind=30;
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% LER0 = fzero(@(x) quest1_steadystate_util(x, pname, eqind),LER0);
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% end
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% % if quest1_steadystate_util>options_.dynatol,
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% % opt=optimset('fminsearch');
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% % % opt.Display='iter';
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% % opt.TolX=1.e-4;
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% % opt.TolFun=1.e-4;
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% % opt.MaxFunEvals=1000;
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% % pname={'L0','LER0'};
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% % xx = fminsearch(@(x) quest1_steadystate_util(x, pname),[L0; LER0],opt);
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% % % xx = dynare_solve('quest1_steadystate_util',[L0 LER0],0,{'L0','LER0'},[10 30]);
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% %
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% % L0=xx(1);
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% % LER0=xx(2);
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% % end
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% set_param_value('LER0',LER0);
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% end
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% set_param_value('L0',L0);
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% set_param_value('SIMFLAG',1);
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%
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%
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% end
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E_L =L0;
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E_LL =log(L0);
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E_LL0 =log(L0);
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% if SIMFLAG==0 | abs(E_EX_RW - E_EX_R)<1.e-8,
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LER0=0;
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% end
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E_ER=exp(LER0);
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E_LER = LER0;
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PMP = (E_ER^ALPHAX);
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E_LPMP = log(PMP);
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%PCP = PMP^(1-SE);
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PCP = (SE+(1-SE)*PMP^(1-SIGIME))^(1/(1-SIGIME));
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E_LPCP= log(PCP);
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%E_LPCP = (1-SE)*E_LPMP - SE*(1-SE)*E_LPMP^2*(SIGIME-1)/2;
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%PCP=exp(E_LPCP);
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E_LPCPM0 = E_LPCP-E_LPMP;
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PXP = 1; %PCP^(S0*(1-SXDE));
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E_LPXP = 0; %(1-SXDE)*S0*E_LPCP;
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% E_LIMYN = log(1-SE);
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% E_LEXYN = log(1-SWE);
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IMYN = (1-SE)*exp(E_LPCP-E_LPMP)^(SIGIME-1)*(1-TBYN);
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E_LIMYN = log(IMYN);
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EXYN = (1-SE)*exp(E_LER*(ALPHAX*SE))^SIGEXE*exp(E_LYWY)^ALPHAX;
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E_LEXYN = log(EXYN);
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E_LIGSN = log(IGSN);
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E_ZEPS_IG = 0;
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E_LGSN = log(GSN);
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E_LISN = log(ISN);
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CSN = 1-(IGSN+GSN+ISN+TBYN);
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M_.params(strcmp('CSN', M_.param_names)) = CSN;
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E_LCSN = log(CSN);
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E_LBGYN=log(BGTAR);
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YWR = 1/((1-TAUE)*ALPHAE/L0*(1+E_LOL)) ;
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E_LYWR = log(YWR) ;
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E_LWPTU = 0;
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E_TW = 0.2;
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%E_TW=TW0*(E_WPTU)^TW1;
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% TW0=E_TW/(E_WPTU)^TW1;
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M_.params(strcmp('TW0', M_.param_names)) = TW0;
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E_TRW = TRSN;
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E_WS = exp(E_LL-E_LYWR);
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E_TAXYN = (E_INOM-GP0-GY0-GPOP0)*BGTAR+IGSN+GSN+TRSN*E_WS ...
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-(E_TW+SSC)*E_L/YWR -TP*(1-E_L/YWR) -TVAT*CSN;
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CLCSN = ((1-E_TW-SSC)*E_L/YWR + TRSN*E_WS - E_TAXYN)/(1+TVAT);
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E_LCLCSN = log(CLCSN);
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CNLCSN = (CSN-CLCSN*SLC*SLCFLAG)/(1-SLC*SLCFLAG);
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E_LCNLCSN = log(CNLCSN);
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UCTERM = ((1-SLCFLAG*SLC)*(CNLCSN*(1-HABE))^(-SIGC)+SLCFLAG*SLC*CLCSN^(-SIGC))/((1-SLCFLAG*SLC)*(CNLCSN*(1-HABE))^(1-SIGC)+SLCFLAG*SLC*CLCSN^(1-SIGC));
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A = (THETAE-1)/THETAE*(1-E_TW-SSC)/(1+TVAT)*E_WS*UCTERM/L0;
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% if SIMFLAG==0,
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OMEGE = A/(KAPPAE*(L0*(1-HABLE))^(KAPPAE-1)+A*(L0*(1-HABLE))^KAPPAE);
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% end
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UCYN = (CNLCSN*(1-HABE))^(-SIGC)*(1-OMEGE*(L0*(1-HABLE))^KAPPAE)^(1-SIGC);
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E_LUCYN = log(UCYN);
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UCLCYN = (CLCSN)^(-SIGC)*(1-OMEGE*(L0*(1-HABLE))^KAPPAE)^(1-SIGC);
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E_LUCLCYN = log(UCLCYN);
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E_VL = (CNLCSN*(1-HABE))^(1-SIGC)*(1-OMEGE*(L0*(1-HABLE))^KAPPAE)^(-SIGC)*KAPPAE*OMEGE*(L0*(1-HABLE))^(KAPPAE-1);
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E_VLLC = (CLCSN)^(1-SIGC)*(1-OMEGE*(L0*(1-HABLE))^KAPPAE)^(-SIGC)*KAPPAE*OMEGE*(L0*(1-HABLE))^(KAPPAE-1);
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E_LYGAP = 0 ;
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E_LYGAP1 = 0 ;
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E_LCY = E_LCSN-E_LPCP;
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E_LGY = E_LGSN-E_LPCP;
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E_LWS = log(E_WS);
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E_CLCSN = exp(E_LCLCSN);
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E_TRYN = E_TRW*exp(E_LL-E_LYWR) ;
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E_LTRYN = log(E_TRYN);
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E_TRTAXYN = E_TRW*exp(E_LL-E_LYWR) - E_TAXYN;
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E_BGYN = exp(E_LBGYN);
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E_GSN = exp(E_LGSN);
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E_WSW = (1-E_TW-SSC)*E_WS;
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E_MRY = (1+E_INOM)^(-ZETE);
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E_PHI=GP0;
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E_PHIC=GP0;
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E_PHIPI=GPCPI0;
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E_PHIM=GP0;
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E_PHIML=GP0+DGPM;
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E_PHIW=GPW0;
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E_PHIX=GP0;
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E_PHIXL=GP0+DGPX;
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E_Q = 1 ;
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E_R = E_EX_R;
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E_TI = 0;
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E_UCAP =UCAP0;
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E_UCAP0 =UCAP0;
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E_WPHI = GP0+GY0;
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E_WRPHI = GY0;
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E_ZEPS_C = 0;
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E_ZEPS_CLC = 0;
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E_ZEPS_EQ = 0;
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E_ZEPS_ETA = 0;
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E_ZEPS_ETAM = 0;
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E_ZEPS_ETAX = 0;
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E_ZEPS_EX = 0;
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E_ZEPS_G = 0;
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E_ZEPS_I = 0;
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E_ZEPS_IM = 0;
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E_ZEPS_L = 0;
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E_ZEPS_M = 0;
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E_ZEPS_PC = 0;
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E_ZEPS_PPI = 0;
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E_ZEPS_POP = 0;
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E_ZEPS_PX = 0;
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E_ZEPS_RPREME = 0;
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E_ZEPS_RPREMK = 0;
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E_ZEPS_SLC = 0;
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E_ZEPS_TFP = 0;
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E_ZEPS_TR = 0;
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E_ZEPS_W = 0;
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E_ZEPS_Y = 0;
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E_ZEPS_YW = 0;
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E_DBGYN = 0;
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E_ZEPS_YGAP = 0;
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E_ZPHIT = GP0;
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% modelbase variables
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interest = ((E_INOM+1)^4-interestq_exog^4)/interestq_exog^4;
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inflationq = (4*E_PHIC+1-inflationannual_exog)/inflationannual_exog;
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inflation = (1/4)*(inflationq+inflationq+inflationq+inflationq);
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outputgap = E_LYGAP;
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ys=zeros(M_.orig_endo_nbr,1);
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for k=1:M_.orig_endo_nbr
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ys(k,1)=eval(M_.endo_names{k});
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end
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A1E = (1-TAUE)*(1-ALPHAE)*exp(E_LYKPPI)/UCAP0;
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assignin('base','A1E',A1E);
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M_.params(strcmp('A1E', M_.param_names)) = A1E;
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M_.params(strcmp('OMEGE', M_.param_names)) = OMEGE;
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assignin('base','OMEGE',OMEGE);
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if DDYN==0
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RPREMK = (1-TAUE)*(1-ALPHAE)*(1-TP)*exp(E_LYKPPI) - DELTAE-E_EX_R;
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M_.params(strcmp('RPREMK', M_.param_names)) = RPREMK;
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assignin('base','RPREMK',RPREMK);
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end
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params = M_.params;
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%PAR1 = 1/((1-TP)*(1/exp(E_LISN)-(1/exp(E_LISN))*(1/exp(E_LYWR))- SHCRED*E_INOM*exp(E_LIK)));
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%PAR1 = exp(E_LIK)/((1-TP)*(exp(E_LYKPPI) -exp(E_LYKPPI)/exp(E_LYWR)-SHCRED*(E_INOM+RPREMK)));
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%M_.params(strmatch('PAR1',M_.param_names,'exact')) = PAR1;
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% exs = M_.exo_nbr;
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% ex_ = zeros(1,exs);
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%
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% [fmax, iff] = max(abs(quest1_static(ys, ex_, M_.params)));
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%
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% if fmax>1.e-8; %options_.dynatol;
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% disp(['The analytic steady state is not correct! ',num2str(fmax)])
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% disp(['Equation ',int2str(iff),', discrepancy ',num2str(fmax)])
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% check1=1;
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% end
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% if SIMFLAG==1,
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% exs = M_.exo_nbr;
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% ex_ = zeros(1,exs);
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% disp(num2str(max(abs( quest1_static(ys, ex_, M_.params))))),
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% end
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