130 lines
3.3 KiB
Modula-2
130 lines
3.3 KiB
Modula-2
// This file replicates the estimation of the CIA model from
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// Frank Schorfheide (2000) "Loss function-based evaluation of DSGE models"
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// Journal of Applied Econometrics, 15, 645-670.
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// the data are the ones provided on Schorfheide's web site with the programs.
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// http://www.econ.upenn.edu/~schorf/programs/dsgesel.ZIP
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// You need to have fsdat.m in the same directory as this file.
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// This file replicates:
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// -the posterior mode as computed by Frank's Gauss programs
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// -the parameter mean posterior estimates reported in the paper
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// -the model probability (harmonic mean) reported in the paper
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// This file was tested with dyn_mat_test_0218.zip
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// the smooth shocks are probably stil buggy
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//
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// The equations are taken from J. Nason and T. Cogley (1994)
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// "Testing the implications of long-run neutrality for monetary business
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// cycle models" Journal of Applied Econometrics, 9, S37-S70.
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// Note that there is an initial minus sign missing in equation (A1), p. S63.
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//
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// Michel Juillard, February 2004
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var m P c e W R k d n l gy_obs gp_obs y dA vv ww;
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varexo e_a e_m;
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parameters alp bet gam mst rho psi del;
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alp = 0.33;
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bet = 0.99;
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gam = 0.003;
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mst = 1.011;
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rho = 0.7;
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psi = 0.787;
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del = 0.02;
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toto = [2 3];
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model(block, bytecode);
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//model(sparse);
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//model;
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/*0*/ exp(gam+e_a) = dA ;
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/*1*/ log(m) = (1-rho)*log(mst) + rho*log(m(-1))+e_m;
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/*2*/ -P/(c(+1)*P(+1)*m)+bet*P(+1)*(alp*exp(-alp*(gam+log(e(+1))))*k^(alp-1)*n(+1)^(1-alp)+(1-del)*exp(-(gam+log(e(+1)))))/(c(+2)*P(+2)*m(+1))=0;
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/*3*/ l/n = W;
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/*4*/ -(psi/(1-psi))*(c*P/(1-n))+l/n = 0;
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/*5*/ R = P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(-alp)/W;
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/*6*/ 1/(c*P)-bet*P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)/(m*l*c(+1)*P(+1)) = 0;
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/*7*/ c+k = exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)+(1-del)*exp(-(gam+e_a))*k(-1);
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/*8*/ P*c = m;
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/*9*/ m-1+d = l;
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/*10*/ e = exp(e_a);
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/*11*/ k(-1)^alp*n^(1-alp)*exp(-alp*(gam+e_a)) = y ;
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/*12*/ gy_obs = dA*y/y(-1);
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/*13*/ gp_obs = (P/P(-1))*m(-1)/dA;
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/*14*/ vv = 0.2*ww+0.5*vv(-1)+1+c(-1)+e_a;
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/*15*/ ww = 0.1*vv+0.5*ww(-1)+2;
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/* A lt=
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0.5*vv-0.2*ww = 1
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-0.1*vv+0.5*ww = 2
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[ 0.5 -0.2][vv] [1]
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=
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[-0.1 0.5][ww] [2]
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det = 0.25-0.02 = 0.23
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[vv] [0.5 0.2] [1] [0.9] [3.91304]
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= 1/0.23* = 1/0.23* =
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[ww] [0.1 0.5] [2] [1.1] [4.7826]
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*/
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end;
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initval;
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k = 6;
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m = mst;
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P = 2.25;
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c = 0.45;
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e = 1;
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W = 4;
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R = 1.02;
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d = 0.85;
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n = 0.19;
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l = 0.86;
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y = 0.6;
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gy_obs = exp(gam);
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gp_obs = exp(-gam);
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dA = exp(gam);
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e_a=0;
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e_m=0;
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vv = 0;
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ww = 0;
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end;
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shocks;
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var e_a; stderr 0.014;
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var e_m; stderr 0.005;
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end;
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//options_.solve_tolf=1e-10;
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options_.maxit_=10;
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steady;//(block_mfs);
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model_info;
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//check;
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shocks;
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var e_a;
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periods 1;
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values 0.16;
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end;
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disp(toto(1,2));
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simul(periods=20, method=lu);
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//stoch_simul(periods=200,order=1);
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rplot y;
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rplot k;
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rplot c;
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/*estimated_params;
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alp, beta_pdf, 0.356, 0.02;
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bet, beta_pdf, 0.993, 0.002;
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gam, normal_pdf, 0.0085, 0.003;
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mst, normal_pdf, 1.0002, 0.007;
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rho, beta_pdf, 0.129, 0.223;
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psi, beta_pdf, 0.65, 0.05;
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del, beta_pdf, 0.01, 0.005;
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stderr e_a, inv_gamma_pdf, 0.035449, inf;
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stderr e_m, inv_gamma_pdf, 0.008862, inf;
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end;
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varobs gp_obs gy_obs;
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estimation(datafile=fsdat,nobs=192,loglinear,mh_replic=2000,mh_nblocks=5,mh_jscale=0.8);
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*/
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