76 lines
1.5 KiB
Modula-2
76 lines
1.5 KiB
Modula-2
var Y K I L q KL_ratio Profit d;
|
|
|
|
predetermined_variables K;
|
|
|
|
varexo eta;
|
|
|
|
parameters alpha beta delta psi w Pi A r;
|
|
alpha = 1/3;
|
|
delta = 0.02;
|
|
beta = 0.98;
|
|
psi = 0.0003393;
|
|
Pi = 1;
|
|
A = 4.942921;
|
|
w = 20.2966;
|
|
r = 0.02;
|
|
|
|
model;
|
|
|
|
//[name = 'FOC wrt L', mcp = 'L>0']
|
|
(1-alpha)*A*((K)^alpha)*(L^(-alpha)) = w*(1-eta);
|
|
|
|
[name = 'FOC wrt K(+1)', mcp = 'q>0']
|
|
beta*alpha*A*(K(+1)^(alpha-1))*(L(+1)^(1-alpha)) + beta*(1-delta)*q(+1) = q;
|
|
|
|
KL_ratio = K/L;
|
|
|
|
//[name = 'FOC wrt I', mcp = 'I>0']
|
|
I = (1/psi)*(1 - (Pi/q));
|
|
|
|
//[name = 'Law of Motion for K', mcp = 'K>0']
|
|
K(+1) = (1-delta)*K + I - (psi/2)*(I^2);
|
|
|
|
//[name = 'Output Function', mcp = 'Y>0']
|
|
Y = A*(K^alpha)*(L^(1-alpha));
|
|
|
|
Profit = Y - w*L - Pi*I;
|
|
|
|
//[name = 'dividend definition', mcp = 'd>0']
|
|
d = Profit;
|
|
|
|
end;
|
|
|
|
steady_state_model;
|
|
KL_ratio = ( (w*(1-eta))/((1-alpha)*A) )^(1/alpha);
|
|
q = (beta*alpha*A*(KL_ratio^(alpha-1))) / (1-beta*(1-delta));
|
|
I = (1/psi) * (1 - (Pi/q));
|
|
K = (1/delta)*(I - (psi/2)*(I^2));
|
|
L = (1/KL_ratio) * K;
|
|
Y = A*(K^(alpha))*(L^(1-alpha));
|
|
Profit = Y - w*L - Pi*I;
|
|
d = Profit;
|
|
end;
|
|
|
|
initval;
|
|
K = 5000;
|
|
end;
|
|
|
|
endval;
|
|
eta = 0;
|
|
K = 1000;
|
|
I = 1938.246;
|
|
q = 1.07481;
|
|
L = 42.43821;
|
|
KL_ratio = 233.6644;
|
|
Y = 36641.31;
|
|
end;
|
|
|
|
perfect_foresight_setup(periods=200);
|
|
|
|
if oo_.endo_simul(strmatch('K',M_.endo_names,'exact'),1)~=5000
|
|
error('initval does not match')
|
|
end
|
|
|
|
if oo_.endo_simul(strmatch('K',M_.endo_names,'exact'),end)~=1000
|
|
error('endval does not match')
|
|
end |