var c k dc s;
varexo x;

parameters alph gam delt bet aa;
alph=0.5;
gam=0.5;
delt=0.02;
bet=0.05;
aa=0.5;


model;
c + k - aa*x*k(-1)^alph - (1-delt)*k(-1);
c^(-gam) - (1+bet)^(-1)*(aa*alph*x(+1)*k^(alph-1) + 1 - delt)*c(+1)^(-gam);
dc = c - c(-1);
s = (dc>=0)-(dc<0);
end;

initval;
x  = 1;
k  = ((delt+bet)/(1.0*aa*alph))^(1/(alph-1));
c  = aa*k^alph-delt*k;
dc = 0;
s  = 1;
end;

steady;

check;

shocks;
var x;
periods 1;
values 1.2;
end;

perfect_foresight_setup(periods=200);
perfect_foresight_solver;

dynasave('myfile') c x k;
dynatype('myfile1.txt') c x k;

rplot c;
rplot k;
rplot dc;
rplot s;
