function planner_objective_value = evaluate_planner_objective(M,options,oo) %function oo1 = evaluate_planner_objective(dr,M,oo,options) % computes value of planner objective function % % INPUTS % M: (structure) model description % options: (structure) options % oo: (structure) output results % % SPECIAL REQUIREMENTS % none % Copyright (C) 2007-2020 Dynare Team % % This file is part of Dynare. % % Dynare is free software: you can redistribute it and/or modify % it under the terms of the GNU General Public License as published by % the Free Software Foundation, either version 3 of the License, or % (at your option) any later version. % % Dynare is distributed in the hope that it will be useful, % but WITHOUT ANY WARRANTY; without even the implied warranty of % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the % GNU General Public License for more details. % % You should have received a copy of the GNU General Public License % along with Dynare. If not, see . if options.order>1 fprintf('\nevaluate_planner_objective: order>1 not yet supported\n') planner_objective_value = NaN; return end dr = oo.dr; exo_nbr = M.exo_nbr; nstatic = M.nstatic; nspred = M.nspred; if nspred > 180 fprintf('\nevaluate_planner_objective: model too large, can''t evaluate planner objective\n') planner_objective_value = NaN; return end beta = get_optimal_policy_discount_factor(M.params, M.param_names); Gy = dr.ghx(nstatic+(1:nspred),:); Gu = dr.ghu(nstatic+(1:nspred),:); gy(dr.order_var,:) = dr.ghx; gu(dr.order_var,:) = dr.ghu; ys = oo.dr.ys; [U,Uy,Uyy] = feval([M.fname '.objective.static'],ys,zeros(1,exo_nbr), ... M.params); %second order terms Uyy = full(Uyy); Uyygygy = A_times_B_kronecker_C(Uyy,gy,gy); Uyygugu = A_times_B_kronecker_C(Uyy,gu,gu); Uyygygu = A_times_B_kronecker_C(Uyy,gy,gu); Wbar =U/(1-beta); %steady state welfare Wy = Uy*gy/(eye(nspred)-beta*Gy); Wu = Uy*gu+beta*Wy*Gu; Wyy = Uyygygy/(eye(nspred*nspred)-beta*kron(Gy,Gy)); Wyygugu = A_times_B_kronecker_C(Wyy,Gu,Gu); Wyygygu = A_times_B_kronecker_C(Wyy,Gy,Gu); Wuu = Uyygugu+beta*Wyygugu; Wyu = Uyygygu+beta*Wyygygu; Wss = beta*Wuu*M.Sigma_e(:)/(1-beta); % at period 0, we are in steady state, so the deviation term only starts in period 1, thus the beta in front % initialize yhat1 at the steady state yhat1 = oo.steady_state; if options.ramsey_policy % initialize le Lagrange multipliers to 0 in yhat2 yhat2 = zeros(M.endo_nbr,1); yhat2(1:M.orig_endo_nbr) = oo.steady_state(1:M.orig_endo_nbr); end if ~isempty(M.endo_histval) % initialize endogenous state variable to histval if necessary yhat1(1:M.orig_endo_nbr) = M.endo_histval(1:M.orig_endo_nbr); if options.ramsey_policy yhat2(1:M.orig_endo_nbr) = M.endo_histval(1:M.orig_endo_nbr); end end yhat1 = yhat1(dr.order_var(nstatic+(1:nspred)),1)-dr.ys(dr.order_var(nstatic+(1:nspred))); u = oo.exo_simul(1,:)'; Wyyyhatyhat1 = A_times_B_kronecker_C(Wyy,yhat1,yhat1); Wuuuu = A_times_B_kronecker_C(Wuu,u,u); Wyuyhatu1 = A_times_B_kronecker_C(Wyu,yhat1,u); planner_objective_value(1) = Wbar+Wy*yhat1+Wu*u+Wyuyhatu1 ... + 0.5*(Wyyyhatyhat1 + Wuuuu+Wss); if options.ramsey_policy yhat2 = yhat2(dr.order_var(nstatic+(1:nspred)),1)-dr.ys(dr.order_var(nstatic+(1:nspred))); Wyyyhatyhat2 = A_times_B_kronecker_C(Wyy,yhat2,yhat2); Wyuyhatu2 = A_times_B_kronecker_C(Wyu,yhat2,u); planner_objective_value(2) = Wbar+Wy*yhat2+Wu*u+Wyuyhatu2 ... + 0.5*(Wyyyhatyhat2 + Wuuuu+Wss); end if ~options.noprint fprintf('\nApproximated value of planner objective function\n') if options.ramsey_policy fprintf(' - with initial Lagrange multipliers set to 0: %10.8f\n', ... planner_objective_value(2)) fprintf(' - with initial Lagrange multipliers set to steady state: %10.8f\n\n', ... planner_objective_value(1)) elseif options.discretionary_policy fprintf('with discretionary policy: %10.8f\n\n',planner_objective_value(1)) end end