periods 5000;
var c,a1,k1,a2,k2,a3,k3,a4,k4,a5,k5,a6,k6,a7,k7,a8,k8,a9,k9,a10,k10,a11,k11,a12,k12,a13,k13,a14,k14,a15,k15,a16,k16,a17,k17,a18,k18,a19,k19,a20,k20,a21,k21,a22,k22,a23,k23,a24,k24,a25,k25,a26,k26,a27,k27,a28,k28,a29,k29,a30,k30,a31,k31,a32,k32,a33,k33,a34,k34,a35,k35,a36,k36,a37,k37,a38,k38,a39,k39,a40,k40,a41,k41,a42,k42,a43,k43,a44,k44,a45,k45,a46,k46,a47,k47,a48,k48,a49,k49,a50,k50;
varexo e,e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50;
parameters beta, gamma, phi, delta, alpha, rho, zeta, sigma, N;
alpha = 0.36;
delta = 0.1;
phi = 2;
gamma = 1;
beta = 0.99;
rho = 0.95;
zeta = 2;
sigma = 2;
N = 50;
model;
c^(-gamma)*(1+phi*zeta*(k1-k1(-1))^(zeta-1)/(2*k1(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k1-k1(-1))^(zeta-1)/(2*k1(-1))+phi*(k1-k1(-1))^zeta/(2*k1(-1)^2)-delta+alpha*a1(+1)*k1^(alpha-1));
log(a1) = rho*log(a1(-1))+sigma*(e+e1);
c^(-gamma)*(1+phi*zeta*(k2-k2(-1))^(zeta-1)/(2*k2(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k2-k2(-1))^(zeta-1)/(2*k2(-1))+phi*(k2-k2(-1))^zeta/(2*k2(-1)^2)-delta+alpha*a2(+1)*k2^(alpha-1));
log(a2) = rho*log(a2(-1))+sigma*(e+e2);
c^(-gamma)*(1+phi*zeta*(k3-k3(-1))^(zeta-1)/(2*k3(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k3-k3(-1))^(zeta-1)/(2*k3(-1))+phi*(k3-k3(-1))^zeta/(2*k3(-1)^2)-delta+alpha*a3(+1)*k3^(alpha-1));
log(a3) = rho*log(a3(-1))+sigma*(e+e3);
c^(-gamma)*(1+phi*zeta*(k4-k4(-1))^(zeta-1)/(2*k4(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k4-k4(-1))^(zeta-1)/(2*k4(-1))+phi*(k4-k4(-1))^zeta/(2*k4(-1)^2)-delta+alpha*a4(+1)*k4^(alpha-1));
log(a4) = rho*log(a4(-1))+sigma*(e+e4);
c^(-gamma)*(1+phi*zeta*(k5-k5(-1))^(zeta-1)/(2*k5(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k5-k5(-1))^(zeta-1)/(2*k5(-1))+phi*(k5-k5(-1))^zeta/(2*k5(-1)^2)-delta+alpha*a5(+1)*k5^(alpha-1));
log(a5) = rho*log(a5(-1))+sigma*(e+e5);
c^(-gamma)*(1+phi*zeta*(k6-k6(-1))^(zeta-1)/(2*k6(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k6-k6(-1))^(zeta-1)/(2*k6(-1))+phi*(k6-k6(-1))^zeta/(2*k6(-1)^2)-delta+alpha*a6(+1)*k6^(alpha-1));
log(a6) = rho*log(a6(-1))+sigma*(e+e6);
c^(-gamma)*(1+phi*zeta*(k7-k7(-1))^(zeta-1)/(2*k7(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k7-k7(-1))^(zeta-1)/(2*k7(-1))+phi*(k7-k7(-1))^zeta/(2*k7(-1)^2)-delta+alpha*a7(+1)*k7^(alpha-1));
log(a7) = rho*log(a7(-1))+sigma*(e+e7);
c^(-gamma)*(1+phi*zeta*(k8-k8(-1))^(zeta-1)/(2*k8(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k8-k8(-1))^(zeta-1)/(2*k8(-1))+phi*(k8-k8(-1))^zeta/(2*k8(-1)^2)-delta+alpha*a8(+1)*k8^(alpha-1));
log(a8) = rho*log(a8(-1))+sigma*(e+e8);
c^(-gamma)*(1+phi*zeta*(k9-k9(-1))^(zeta-1)/(2*k9(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k9-k9(-1))^(zeta-1)/(2*k9(-1))+phi*(k9-k9(-1))^zeta/(2*k9(-1)^2)-delta+alpha*a9(+1)*k9^(alpha-1));
log(a9) = rho*log(a9(-1))+sigma*(e+e9);
c^(-gamma)*(1+phi*zeta*(k10-k10(-1))^(zeta-1)/(2*k10(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k10-k10(-1))^(zeta-1)/(2*k10(-1))+phi*(k10-k10(-1))^zeta/(2*k10(-1)^2)-delta+alpha*a10(+1)*k10^(alpha-1));
log(a10) = rho*log(a10(-1))+sigma*(e+e10);
c^(-gamma)*(1+phi*zeta*(k11-k11(-1))^(zeta-1)/(2*k11(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k11-k11(-1))^(zeta-1)/(2*k11(-1))+phi*(k11-k11(-1))^zeta/(2*k11(-1)^2)-delta+alpha*a11(+1)*k11^(alpha-1));
log(a11) = rho*log(a11(-1))+sigma*(e+e11);
c^(-gamma)*(1+phi*zeta*(k12-k12(-1))^(zeta-1)/(2*k12(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k12-k12(-1))^(zeta-1)/(2*k12(-1))+phi*(k12-k12(-1))^zeta/(2*k12(-1)^2)-delta+alpha*a12(+1)*k12^(alpha-1));
log(a12) = rho*log(a12(-1))+sigma*(e+e12);
c^(-gamma)*(1+phi*zeta*(k13-k13(-1))^(zeta-1)/(2*k13(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k13-k13(-1))^(zeta-1)/(2*k13(-1))+phi*(k13-k13(-1))^zeta/(2*k13(-1)^2)-delta+alpha*a13(+1)*k13^(alpha-1));
log(a13) = rho*log(a13(-1))+sigma*(e+e13);
c^(-gamma)*(1+phi*zeta*(k14-k14(-1))^(zeta-1)/(2*k14(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k14-k14(-1))^(zeta-1)/(2*k14(-1))+phi*(k14-k14(-1))^zeta/(2*k14(-1)^2)-delta+alpha*a14(+1)*k14^(alpha-1));
log(a14) = rho*log(a14(-1))+sigma*(e+e14);
c^(-gamma)*(1+phi*zeta*(k15-k15(-1))^(zeta-1)/(2*k15(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k15-k15(-1))^(zeta-1)/(2*k15(-1))+phi*(k15-k15(-1))^zeta/(2*k15(-1)^2)-delta+alpha*a15(+1)*k15^(alpha-1));
log(a15) = rho*log(a15(-1))+sigma*(e+e15);
c^(-gamma)*(1+phi*zeta*(k16-k16(-1))^(zeta-1)/(2*k16(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k16-k16(-1))^(zeta-1)/(2*k16(-1))+phi*(k16-k16(-1))^zeta/(2*k16(-1)^2)-delta+alpha*a16(+1)*k16^(alpha-1));
log(a16) = rho*log(a16(-1))+sigma*(e+e16);
c^(-gamma)*(1+phi*zeta*(k17-k17(-1))^(zeta-1)/(2*k17(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k17-k17(-1))^(zeta-1)/(2*k17(-1))+phi*(k17-k17(-1))^zeta/(2*k17(-1)^2)-delta+alpha*a17(+1)*k17^(alpha-1));
log(a17) = rho*log(a17(-1))+sigma*(e+e17);
c^(-gamma)*(1+phi*zeta*(k18-k18(-1))^(zeta-1)/(2*k18(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k18-k18(-1))^(zeta-1)/(2*k18(-1))+phi*(k18-k18(-1))^zeta/(2*k18(-1)^2)-delta+alpha*a18(+1)*k18^(alpha-1));
log(a18) = rho*log(a18(-1))+sigma*(e+e18);
c^(-gamma)*(1+phi*zeta*(k19-k19(-1))^(zeta-1)/(2*k19(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k19-k19(-1))^(zeta-1)/(2*k19(-1))+phi*(k19-k19(-1))^zeta/(2*k19(-1)^2)-delta+alpha*a19(+1)*k19^(alpha-1));
log(a19) = rho*log(a19(-1))+sigma*(e+e19);
c^(-gamma)*(1+phi*zeta*(k20-k20(-1))^(zeta-1)/(2*k20(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k20-k20(-1))^(zeta-1)/(2*k20(-1))+phi*(k20-k20(-1))^zeta/(2*k20(-1)^2)-delta+alpha*a20(+1)*k20^(alpha-1));
log(a20) = rho*log(a20(-1))+sigma*(e+e20);
c^(-gamma)*(1+phi*zeta*(k21-k21(-1))^(zeta-1)/(2*k21(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k21-k21(-1))^(zeta-1)/(2*k21(-1))+phi*(k21-k21(-1))^zeta/(2*k21(-1)^2)-delta+alpha*a21(+1)*k21^(alpha-1));
log(a21) = rho*log(a21(-1))+sigma*(e+e21);
c^(-gamma)*(1+phi*zeta*(k22-k22(-1))^(zeta-1)/(2*k22(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k22-k22(-1))^(zeta-1)/(2*k22(-1))+phi*(k22-k22(-1))^zeta/(2*k22(-1)^2)-delta+alpha*a22(+1)*k22^(alpha-1));
log(a22) = rho*log(a22(-1))+sigma*(e+e22);
c^(-gamma)*(1+phi*zeta*(k23-k23(-1))^(zeta-1)/(2*k23(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k23-k23(-1))^(zeta-1)/(2*k23(-1))+phi*(k23-k23(-1))^zeta/(2*k23(-1)^2)-delta+alpha*a23(+1)*k23^(alpha-1));
log(a23) = rho*log(a23(-1))+sigma*(e+e23);
c^(-gamma)*(1+phi*zeta*(k24-k24(-1))^(zeta-1)/(2*k24(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k24-k24(-1))^(zeta-1)/(2*k24(-1))+phi*(k24-k24(-1))^zeta/(2*k24(-1)^2)-delta+alpha*a24(+1)*k24^(alpha-1));
log(a24) = rho*log(a24(-1))+sigma*(e+e24);
c^(-gamma)*(1+phi*zeta*(k25-k25(-1))^(zeta-1)/(2*k25(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k25-k25(-1))^(zeta-1)/(2*k25(-1))+phi*(k25-k25(-1))^zeta/(2*k25(-1)^2)-delta+alpha*a25(+1)*k25^(alpha-1));
log(a25) = rho*log(a25(-1))+sigma*(e+e25);
c^(-gamma)*(1+phi*zeta*(k26-k26(-1))^(zeta-1)/(2*k26(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k26-k26(-1))^(zeta-1)/(2*k26(-1))+phi*(k26-k26(-1))^zeta/(2*k26(-1)^2)-delta+alpha*a26(+1)*k26^(alpha-1));
log(a26) = rho*log(a26(-1))+sigma*(e+e26);
c^(-gamma)*(1+phi*zeta*(k27-k27(-1))^(zeta-1)/(2*k27(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k27-k27(-1))^(zeta-1)/(2*k27(-1))+phi*(k27-k27(-1))^zeta/(2*k27(-1)^2)-delta+alpha*a27(+1)*k27^(alpha-1));
log(a27) = rho*log(a27(-1))+sigma*(e+e27);
c^(-gamma)*(1+phi*zeta*(k28-k28(-1))^(zeta-1)/(2*k28(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k28-k28(-1))^(zeta-1)/(2*k28(-1))+phi*(k28-k28(-1))^zeta/(2*k28(-1)^2)-delta+alpha*a28(+1)*k28^(alpha-1));
log(a28) = rho*log(a28(-1))+sigma*(e+e28);
c^(-gamma)*(1+phi*zeta*(k29-k29(-1))^(zeta-1)/(2*k29(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k29-k29(-1))^(zeta-1)/(2*k29(-1))+phi*(k29-k29(-1))^zeta/(2*k29(-1)^2)-delta+alpha*a29(+1)*k29^(alpha-1));
log(a29) = rho*log(a29(-1))+sigma*(e+e29);
c^(-gamma)*(1+phi*zeta*(k30-k30(-1))^(zeta-1)/(2*k30(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k30-k30(-1))^(zeta-1)/(2*k30(-1))+phi*(k30-k30(-1))^zeta/(2*k30(-1)^2)-delta+alpha*a30(+1)*k30^(alpha-1));
log(a30) = rho*log(a30(-1))+sigma*(e+e30);
c^(-gamma)*(1+phi*zeta*(k31-k31(-1))^(zeta-1)/(2*k31(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k31-k31(-1))^(zeta-1)/(2*k31(-1))+phi*(k31-k31(-1))^zeta/(2*k31(-1)^2)-delta+alpha*a31(+1)*k31^(alpha-1));
log(a31) = rho*log(a31(-1))+sigma*(e+e31);
c^(-gamma)*(1+phi*zeta*(k32-k32(-1))^(zeta-1)/(2*k32(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k32-k32(-1))^(zeta-1)/(2*k32(-1))+phi*(k32-k32(-1))^zeta/(2*k32(-1)^2)-delta+alpha*a32(+1)*k32^(alpha-1));
log(a32) = rho*log(a32(-1))+sigma*(e+e32);
c^(-gamma)*(1+phi*zeta*(k33-k33(-1))^(zeta-1)/(2*k33(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k33-k33(-1))^(zeta-1)/(2*k33(-1))+phi*(k33-k33(-1))^zeta/(2*k33(-1)^2)-delta+alpha*a33(+1)*k33^(alpha-1));
log(a33) = rho*log(a33(-1))+sigma*(e+e33);
c^(-gamma)*(1+phi*zeta*(k34-k34(-1))^(zeta-1)/(2*k34(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k34-k34(-1))^(zeta-1)/(2*k34(-1))+phi*(k34-k34(-1))^zeta/(2*k34(-1)^2)-delta+alpha*a34(+1)*k34^(alpha-1));
log(a34) = rho*log(a34(-1))+sigma*(e+e34);
c^(-gamma)*(1+phi*zeta*(k35-k35(-1))^(zeta-1)/(2*k35(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k35-k35(-1))^(zeta-1)/(2*k35(-1))+phi*(k35-k35(-1))^zeta/(2*k35(-1)^2)-delta+alpha*a35(+1)*k35^(alpha-1));
log(a35) = rho*log(a35(-1))+sigma*(e+e35);
c^(-gamma)*(1+phi*zeta*(k36-k36(-1))^(zeta-1)/(2*k36(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k36-k36(-1))^(zeta-1)/(2*k36(-1))+phi*(k36-k36(-1))^zeta/(2*k36(-1)^2)-delta+alpha*a36(+1)*k36^(alpha-1));
log(a36) = rho*log(a36(-1))+sigma*(e+e36);
c^(-gamma)*(1+phi*zeta*(k37-k37(-1))^(zeta-1)/(2*k37(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k37-k37(-1))^(zeta-1)/(2*k37(-1))+phi*(k37-k37(-1))^zeta/(2*k37(-1)^2)-delta+alpha*a37(+1)*k37^(alpha-1));
log(a37) = rho*log(a37(-1))+sigma*(e+e37);
c^(-gamma)*(1+phi*zeta*(k38-k38(-1))^(zeta-1)/(2*k38(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k38-k38(-1))^(zeta-1)/(2*k38(-1))+phi*(k38-k38(-1))^zeta/(2*k38(-1)^2)-delta+alpha*a38(+1)*k38^(alpha-1));
log(a38) = rho*log(a38(-1))+sigma*(e+e38);
c^(-gamma)*(1+phi*zeta*(k39-k39(-1))^(zeta-1)/(2*k39(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k39-k39(-1))^(zeta-1)/(2*k39(-1))+phi*(k39-k39(-1))^zeta/(2*k39(-1)^2)-delta+alpha*a39(+1)*k39^(alpha-1));
log(a39) = rho*log(a39(-1))+sigma*(e+e39);
c^(-gamma)*(1+phi*zeta*(k40-k40(-1))^(zeta-1)/(2*k40(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k40-k40(-1))^(zeta-1)/(2*k40(-1))+phi*(k40-k40(-1))^zeta/(2*k40(-1)^2)-delta+alpha*a40(+1)*k40^(alpha-1));
log(a40) = rho*log(a40(-1))+sigma*(e+e40);
c^(-gamma)*(1+phi*zeta*(k41-k41(-1))^(zeta-1)/(2*k41(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k41-k41(-1))^(zeta-1)/(2*k41(-1))+phi*(k41-k41(-1))^zeta/(2*k41(-1)^2)-delta+alpha*a41(+1)*k41^(alpha-1));
log(a41) = rho*log(a41(-1))+sigma*(e+e41);
c^(-gamma)*(1+phi*zeta*(k42-k42(-1))^(zeta-1)/(2*k42(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k42-k42(-1))^(zeta-1)/(2*k42(-1))+phi*(k42-k42(-1))^zeta/(2*k42(-1)^2)-delta+alpha*a42(+1)*k42^(alpha-1));
log(a42) = rho*log(a42(-1))+sigma*(e+e42);
c^(-gamma)*(1+phi*zeta*(k43-k43(-1))^(zeta-1)/(2*k43(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k43-k43(-1))^(zeta-1)/(2*k43(-1))+phi*(k43-k43(-1))^zeta/(2*k43(-1)^2)-delta+alpha*a43(+1)*k43^(alpha-1));
log(a43) = rho*log(a43(-1))+sigma*(e+e43);
c^(-gamma)*(1+phi*zeta*(k44-k44(-1))^(zeta-1)/(2*k44(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k44-k44(-1))^(zeta-1)/(2*k44(-1))+phi*(k44-k44(-1))^zeta/(2*k44(-1)^2)-delta+alpha*a44(+1)*k44^(alpha-1));
log(a44) = rho*log(a44(-1))+sigma*(e+e44);
c^(-gamma)*(1+phi*zeta*(k45-k45(-1))^(zeta-1)/(2*k45(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k45-k45(-1))^(zeta-1)/(2*k45(-1))+phi*(k45-k45(-1))^zeta/(2*k45(-1)^2)-delta+alpha*a45(+1)*k45^(alpha-1));
log(a45) = rho*log(a45(-1))+sigma*(e+e45);
c^(-gamma)*(1+phi*zeta*(k46-k46(-1))^(zeta-1)/(2*k46(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k46-k46(-1))^(zeta-1)/(2*k46(-1))+phi*(k46-k46(-1))^zeta/(2*k46(-1)^2)-delta+alpha*a46(+1)*k46^(alpha-1));
log(a46) = rho*log(a46(-1))+sigma*(e+e46);
c^(-gamma)*(1+phi*zeta*(k47-k47(-1))^(zeta-1)/(2*k47(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k47-k47(-1))^(zeta-1)/(2*k47(-1))+phi*(k47-k47(-1))^zeta/(2*k47(-1)^2)-delta+alpha*a47(+1)*k47^(alpha-1));
log(a47) = rho*log(a47(-1))+sigma*(e+e47);
c^(-gamma)*(1+phi*zeta*(k48-k48(-1))^(zeta-1)/(2*k48(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k48-k48(-1))^(zeta-1)/(2*k48(-1))+phi*(k48-k48(-1))^zeta/(2*k48(-1)^2)-delta+alpha*a48(+1)*k48^(alpha-1));
log(a48) = rho*log(a48(-1))+sigma*(e+e48);
c^(-gamma)*(1+phi*zeta*(k49-k49(-1))^(zeta-1)/(2*k49(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k49-k49(-1))^(zeta-1)/(2*k49(-1))+phi*(k49-k49(-1))^zeta/(2*k49(-1)^2)-delta+alpha*a49(+1)*k49^(alpha-1));
log(a49) = rho*log(a49(-1))+sigma*(e+e49);
c^(-gamma)*(1+phi*zeta*(k50-k50(-1))^(zeta-1)/(2*k50(-1))) = beta*c(+1)^(-gamma)*(1+phi*zeta*(k50-k50(-1))^(zeta-1)/(2*k50(-1))+phi*(k50-k50(-1))^zeta/(2*k50(-1)^2)-delta+alpha*a50(+1)*k50^(alpha-1));
log(a50) = rho*log(a50(-1))+sigma*(e+e50);
N*c+k1+phi*(k1-k1(-1))^zeta/(2*k1)-(1-delta)*k1(-1)+k2+phi*(k2-k2(-1))^zeta/(2*k2)-(1-delta)*k2(-1)+k3+phi*(k3-k3(-1))^zeta/(2*k3)-(1-delta)*k3(-1)+k4+phi*(k4-k4(-1))^zeta/(2*k4)-(1-delta)*k4(-1)+k5+phi*(k5-k5(-1))^zeta/(2*k5)-(1-delta)*k5(-1)+k6+phi*(k6-k6(-1))^zeta/(2*k6)-(1-delta)*k6(-1)+k7+phi*(k7-k7(-1))^zeta/(2*k7)-(1-delta)*k7(-1)+k8+phi*(k8-k8(-1))^zeta/(2*k8)-(1-delta)*k8(-1)+k9+phi*(k9-k9(-1))^zeta/(2*k9)-(1-delta)*k9(-1)+k10+phi*(k10-k10(-1))^zeta/(2*k10)-(1-delta)*k10(-1)+k11+phi*(k11-k11(-1))^zeta/(2*k11)-(1-delta)*k11(-1)+k12+phi*(k12-k12(-1))^zeta/(2*k12)-(1-delta)*k12(-1)+k13+phi*(k13-k13(-1))^zeta/(2*k13)-(1-delta)*k13(-1)+k14+phi*(k14-k14(-1))^zeta/(2*k14)-(1-delta)*k14(-1)+k15+phi*(k15-k15(-1))^zeta/(2*k15)-(1-delta)*k15(-1)+k16+phi*(k16-k16(-1))^zeta/(2*k16)-(1-delta)*k16(-1)+k17+phi*(k17-k17(-1))^zeta/(2*k17)-(1-delta)*k17(-1)+k18+phi*(k18-k18(-1))^zeta/(2*k18)-(1-delta)*k18(-1)+k19+phi*(k19-k19(-1))^zeta/(2*k19)-(1-delta)*k19(-1)+k20+phi*(k20-k20(-1))^zeta/(2*k20)-(1-delta)*k20(-1)+k21+phi*(k21-k21(-1))^zeta/(2*k21)-(1-delta)*k21(-1)+k22+phi*(k22-k22(-1))^zeta/(2*k22)-(1-delta)*k22(-1)+k23+phi*(k23-k23(-1))^zeta/(2*k23)-(1-delta)*k23(-1)+k24+phi*(k24-k24(-1))^zeta/(2*k24)-(1-delta)*k24(-1)+k25+phi*(k25-k25(-1))^zeta/(2*k25)-(1-delta)*k25(-1)+k26+phi*(k26-k26(-1))^zeta/(2*k26)-(1-delta)*k26(-1)+k27+phi*(k27-k27(-1))^zeta/(2*k27)-(1-delta)*k27(-1)+k28+phi*(k28-k28(-1))^zeta/(2*k28)-(1-delta)*k28(-1)+k29+phi*(k29-k29(-1))^zeta/(2*k29)-(1-delta)*k29(-1)+k30+phi*(k30-k30(-1))^zeta/(2*k30)-(1-delta)*k30(-1)+k31+phi*(k31-k31(-1))^zeta/(2*k31)-(1-delta)*k31(-1)+k32+phi*(k32-k32(-1))^zeta/(2*k32)-(1-delta)*k32(-1)+k33+phi*(k33-k33(-1))^zeta/(2*k33)-(1-delta)*k33(-1)+k34+phi*(k34-k34(-1))^zeta/(2*k34)-(1-delta)*k34(-1)+k35+phi*(k35-k35(-1))^zeta/(2*k35)-(1-delta)*k35(-1)+k36+phi*(k36-k36(-1))^zeta/(2*k36)-(1-delta)*k36(-1)+k37+phi*(k37-k37(-1))^zeta/(2*k37)-(1-delta)*k37(-1)+k38+phi*(k38-k38(-1))^zeta/(2*k38)-(1-delta)*k38(-1)+k39+phi*(k39-k39(-1))^zeta/(2*k39)-(1-delta)*k39(-1)+k40+phi*(k40-k40(-1))^zeta/(2*k40)-(1-delta)*k40(-1)+k41+phi*(k41-k41(-1))^zeta/(2*k41)-(1-delta)*k41(-1)+k42+phi*(k42-k42(-1))^zeta/(2*k42)-(1-delta)*k42(-1)+k43+phi*(k43-k43(-1))^zeta/(2*k43)-(1-delta)*k43(-1)+k44+phi*(k44-k44(-1))^zeta/(2*k44)-(1-delta)*k44(-1)+k45+phi*(k45-k45(-1))^zeta/(2*k45)-(1-delta)*k45(-1)+k46+phi*(k46-k46(-1))^zeta/(2*k46)-(1-delta)*k46(-1)+k47+phi*(k47-k47(-1))^zeta/(2*k47)-(1-delta)*k47(-1)+k48+phi*(k48-k48(-1))^zeta/(2*k48)-(1-delta)*k48(-1)+k49+phi*(k49-k49(-1))^zeta/(2*k49)-(1-delta)*k49(-1)+k50+phi*(k50-k50(-1))^zeta/(2*k50)-(1-delta)*k50(-1)= a1*k1(-1)^alpha+a2*k2(-1)^alpha+a3*k3(-1)^alpha+a4*k4(-1)^alpha+a5*k5(-1)^alpha+a6*k6(-1)^alpha+a7*k7(-1)^alpha+a8*k8(-1)^alpha+a9*k9(-1)^alpha+a10*k10(-1)^alpha+a11*k11(-1)^alpha+a12*k12(-1)^alpha+a13*k13(-1)^alpha+a14*k14(-1)^alpha+a15*k15(-1)^alpha+a16*k16(-1)^alpha+a17*k17(-1)^alpha+a18*k18(-1)^alpha+a19*k19(-1)^alpha+a20*k20(-1)^alpha+a21*k21(-1)^alpha+a22*k22(-1)^alpha+a23*k23(-1)^alpha+a24*k24(-1)^alpha+a25*k25(-1)^alpha+a26*k26(-1)^alpha+a27*k27(-1)^alpha+a28*k28(-1)^alpha+a29*k29(-1)^alpha+a30*k30(-1)^alpha+a31*k31(-1)^alpha+a32*k32(-1)^alpha+a33*k33(-1)^alpha+a34*k34(-1)^alpha+a35*k35(-1)^alpha+a36*k36(-1)^alpha+a37*k37(-1)^alpha+a38*k38(-1)^alpha+a39*k39(-1)^alpha+a40*k40(-1)^alpha+a41*k41(-1)^alpha+a42*k42(-1)^alpha+a43*k43(-1)^alpha+a44*k44(-1)^alpha+a45*k45(-1)^alpha+a46*k46(-1)^alpha+a47*k47(-1)^alpha+a48*k48(-1)^alpha+a49*k49(-1)^alpha+a50*k50(-1)^alpha;
end;
initval;
c=1;
e=0;
a1=1;
e1=0;
k1=10;
a2=1;
e2=0;
k2=10;
a3=1;
e3=0;
k3=10;
a4=1;
e4=0;
k4=10;
a5=1;
e5=0;
k5=10;
a6=1;
e6=0;
k6=10;
a7=1;
e7=0;
k7=10;
a8=1;
e8=0;
k8=10;
a9=1;
e9=0;
k9=10;
a10=1;
e10=0;
k10=10;
a11=1;
e11=0;
k11=10;
a12=1;
e12=0;
k12=10;
a13=1;
e13=0;
k13=10;
a14=1;
e14=0;
k14=10;
a15=1;
e15=0;
k15=10;
a16=1;
e16=0;
k16=10;
a17=1;
e17=0;
k17=10;
a18=1;
e18=0;
k18=10;
a19=1;
e19=0;
k19=10;
a20=1;
e20=0;
k20=10;
a21=1;
e21=0;
k21=10;
a22=1;
e22=0;
k22=10;
a23=1;
e23=0;
k23=10;
a24=1;
e24=0;
k24=10;
a25=1;
e25=0;
k25=10;
a26=1;
e26=0;
k26=10;
a27=1;
e27=0;
k27=10;
a28=1;
e28=0;
k28=10;
a29=1;
e29=0;
k29=10;
a30=1;
e30=0;
k30=10;
a31=1;
e31=0;
k31=10;
a32=1;
e32=0;
k32=10;
a33=1;
e33=0;
k33=10;
a34=1;
e34=0;
k34=10;
a35=1;
e35=0;
k35=10;
a36=1;
e36=0;
k36=10;
a37=1;
e37=0;
k37=10;
a38=1;
e38=0;
k38=10;
a39=1;
e39=0;
k39=10;
a40=1;
e40=0;
k40=10;
a41=1;
e41=0;
k41=10;
a42=1;
e42=0;
k42=10;
a43=1;
e43=0;
k43=10;
a44=1;
e44=0;
k44=10;
a45=1;
e45=0;
k45=10;
a46=1;
e46=0;
k46=10;
a47=1;
e47=0;
k47=10;
a48=1;
e48=0;
k48=10;
a49=1;
e49=0;
k49=10;
a50=1;
e50=0;
k50=10;
end;

vcov = [
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1];

order = 2;