113 lines
3.1 KiB
Modula-2
113 lines
3.1 KiB
Modula-2
@#define NumberOfCountries = 2
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var log_kappa;
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@#for Country in 1:NumberOfCountries
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var mu@{Country}, logit_l@{Country}, k@{Country}, a@{Country};
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@#endfor
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parameters alpha beta varrho delta theta rhoA sigmaA;
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alpha = 0.3;
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beta = 0.99;
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varrho = 1.5;
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delta = 0.025;
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theta = 0.9;
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rhoA = 0.95;
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sigmaA = 0.05;
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@#for Country in 1:NumberOfCountries
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varexo epsilonA@{Country};
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@#endfor
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model;
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#kappa = exp( log_kappa );
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#LEAD_kappa = exp( log_kappa(+1) );
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#min_A = theta ^ ( 1/alpha );
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#mean_a = log( 1 - min_A );
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@#for Country in 1:NumberOfCountries
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#K@{Country} = exp( k@{Country} );
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#LAG_K@{Country} = exp( k@{Country}(-1) );
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#LEAD_A@{Country} = min_A + exp( a@{Country}(+1) );
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#A@{Country} = min_A + exp( a@{Country} );
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#LAG_A@{Country} = min_A + exp( a@{Country}(-1) );
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#L@{Country} = 1 / ( 1 + exp( -logit_l@{Country} ) );
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#LEAD_L@{Country} = 1 / ( 1 + exp( -logit_l@{Country}(+1) ) );
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#C@{Country} = kappa ^ ( -1/varrho ) - theta / ( 1-alpha ) * ( A@{Country}*(1-L@{Country}) ) ^ ( 1-alpha );
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#LEAD_phi@{Country} = ( 1 - theta * ( LEAD_A@{Country}*(1-LEAD_L@{Country}) ) ^ ( -alpha ) ) * LEAD_kappa;
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#I@{Country} = K@{Country} - ( 1-delta ) * LAG_K@{Country};
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@#endfor
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@#for Country in 1:NumberOfCountries
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( a@{Country} - mean_a ) = rhoA * ( a@{Country}(-1) - mean_a ) - sigmaA * epsilonA@{Country};
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L@{Country} = min( LAG_K@{Country} / A@{Country}, 1 - theta ^ ( 1/alpha ) / A@{Country} );
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kappa - mu@{Country} = beta * ( ( 1-delta ) * ( LEAD_kappa - mu@{Country}(+1) ) + LEAD_phi@{Country} );
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kappa = max( beta * ( ( 1-delta ) * ( LEAD_kappa - mu@{Country}(+1) ) + LEAD_phi@{Country} ), ( theta / ( 1-alpha ) * ( A@{Country}*(1-L@{Country}) ) ^ ( 1-alpha )
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@#for OtherCountry in 1:NumberOfCountries
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+ A@{OtherCountry} * L@{OtherCountry}
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@#if OtherCountry != Country
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- C@{OtherCountry} - I@{OtherCountry}
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@#endif
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@#endfor
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) ^ ( -varrho ) );
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@#endfor
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0 = 0
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@#for OtherCountry in 1:NumberOfCountries
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+ A@{OtherCountry} * L@{OtherCountry}
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- C@{OtherCountry} - I@{OtherCountry}
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@#endfor
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;
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end;
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steady_state_model;
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a = log( 1 - theta ^ ( 1/alpha ) );
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mu = 0;
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L = 1 - ( 1/theta * ( 2 - 1/beta - delta ) ) ^ ( -1/alpha );
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K = L;
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I = delta * K;
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C = ( 1 - delta ) * L;
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kappa_ = ( C + theta / ( 1-alpha ) * ( 1-L ) ^ ( 1-alpha ) ) ^ ( -varrho );
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log_kappa = log( kappa_ );
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@#for Country in 1:NumberOfCountries
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mu@{Country} = mu;
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logit_l@{Country} = log( L / ( 1 - L ) );
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k@{Country} = log( K );
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a@{Country} = a;
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@#endfor
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end;
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steady;
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check;
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shocks;
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var epsilonA1; periods 1; values 2;
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@#for Country in 2:NumberOfCountries
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var epsilonA@{Country}; periods 1; values 0;
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@#endfor
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end;
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perfect_foresight_setup(periods=400);
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perfect_foresight_solver(robust_lin_solve);
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if ~oo_.deterministic_simulation.status
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error('Model did not solve')
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end
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