103 lines
2.7 KiB
Modula-2
103 lines
2.7 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_obs P_obs y dA;
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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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model;
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dA = exp(gam+e_a);
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log(m) = (1-rho)*log(mst) + rho*log(m(-1))+e_m;
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-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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W = l/n;
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-(psi/(1-psi))*(c*P/(1-n))+l/n = 0;
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R = P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(-alp)/W;
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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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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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P*c = m;
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m-1+d = l;
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e = exp(e_a);
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y = k(-1)^alp*n^(1-alp)*exp(-alp*(gam+e_a));
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gy_obs = dA*y/y(-1);
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gp_obs = (P/P(-1))*m(-1)/dA;
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Y_obs/Y_obs(-1) = gy_obs;
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P_obs/P_obs(-1) = gp_obs;
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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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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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steady;
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check;
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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 P_obs Y_obs;
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observation_trends;
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P_obs (log(mst)-gam);
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Y_obs (gam);
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end;
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unit_root_vars P_obs Y_obs;
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//stoch_simul(order=1,nomoments,irf=0);
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estimation(datafile=fsdat,nobs=192,loglinear,mh_replic=0,mh_nblocks=2,mh_drop=0.45,mode_compute=0,mode_file=fs2000b_mode,load_mh_file);
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stab_map_;
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