diff --git a/tests/k_order_perturbation/fs2000k++.mod b/tests/k_order_perturbation/fs2000k++.mod
new file mode 100644
index 000000000..be261e455
--- /dev/null
+++ b/tests/k_order_perturbation/fs2000k++.mod
@@ -0,0 +1,57 @@
+var m m_1 P P_1 c e W R k d n l gy_obs gp_obs y dA P2 c2;
+varexo e_a e_m;
+
+parameters alp bet gam mst rho psi del;
+
+alp = 0.33;
+bet = 0.99;
+gam = 0.003;
+mst = 1.011;
+rho = 0.7;
+psi = 0.787;
+del = 0.02;
+
+model;
+dA = exp(gam+e_a);
+log(m) = (1-rho)*log(mst) + rho*log(m_1(-1))+e_m;
+-P/(c(+1)*P(+1)*m)+bet*P(+1)*(alp*exp(-alp*(gam+log(e(+1))))*k^(alp-1)*n(+1)^(1-alp)+(1-del)*exp(-(gam+log(e(+1)))))/(c2(+1)*P2(+1)*m(+1))=0;
+W = l/n;
+-(psi/(1-psi))*(c*P/(1-n))+l/n = 0;
+R = P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(-alp)/W;
+1/(c*P)-bet*P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)/(m*l*c(+1)*P(+1)) = 0;
+c+k = exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)+(1-del)*exp(-(gam+e_a))*k(-1);
+P*c = m;
+m-1+d = l;
+e = exp(e_a);
+y = k(-1)^alp*n^(1-alp)*exp(-alp*(gam+e_a));
+gy_obs = dA*y/y(-1);
+gp_obs = (P/P_1(-1))*m_1(-1)/dA;
+P2 = P(+1);
+c2 = c(+1);
+m_1 = m;
+P_1 = P;
+end;
+
+initval;
+m = mst;
+m_1=mst;
+P = 2.25;
+P_1 = 2.25;
+c = 0.45;
+e = 1;
+W = 4;
+R = 1.02;
+k = 6;
+d = 0.85;
+n = 0.19;
+l = 0.86;
+y = 0.6;
+gy_obs = exp(gam);
+gp_obs = exp(-gam); 
+dA = exp(gam);
+  P2=P;
+  c2=c;
+end;
+
+vcov = [0.014, 0;0, 0.005];
+
diff --git a/tests/k_order_perturbation/fs2000k2.mod b/tests/k_order_perturbation/fs2000k2.mod
new file mode 100644
index 000000000..07eefba8f
--- /dev/null
+++ b/tests/k_order_perturbation/fs2000k2.mod
@@ -0,0 +1,83 @@
+// checks for order = 2 that use_k_order = 0 (fs2000k2a) and use_k_order = 1 (this file)
+// give the same results
+
+var m P c e W R k d n l gy_obs gp_obs y dA ;
+varexo e_a e_m;
+
+parameters alp bet gam mst rho psi del;
+
+alp = 0.33;
+bet = 0.99;
+gam = 0.003;
+mst = 1.011;
+rho = 0.7;
+psi = 0.787;
+del = 0.02;
+
+model (use_dll);
+dA = exp(gam+e_a);
+log(m) = (1-rho)*log(mst) + rho*log(m(-1))+e_m;
+-P/(c(+1)*P(+1)*m)+bet*P(+1)*(alp*exp(-alp*(gam+log(e(+1))))*k^(alp-1)*n(+1)^(1-alp)+(1-del)*exp(-(gam+log(e(+1)))))/(c(+2)*P(+2)*m(+1))=0;
+W = l/n;
+-(psi/(1-psi))*(c*P/(1-n))+l/n = 0;
+R = P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(-alp)/W;
+1/(c*P)-bet*P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)/(m*l*c(+1)*P(+1)) = 0;
+c+k = exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)+(1-del)*exp(-(gam+e_a))*k(-1);
+P*c = m;
+m-1+d = l;
+e = exp(e_a);
+y = k(-1)^alp*n^(1-alp)*exp(-alp*(gam+e_a));
+gy_obs = dA*y/y(-1);
+gp_obs = (P/P(-1))*m(-1)/dA;
+end;
+
+initval;
+m = mst;
+P = 2.25;
+c = 0.45;
+e = 1;
+W = 4;
+R = 1.02;
+k = 6;
+d = 0.85;
+n = 0.19;
+l = 0.86;
+y = 0.6;
+gy_obs = exp(gam);
+gp_obs = exp(-gam); 
+dA = exp(gam);
+end;
+
+shocks;
+var e_a; stderr 0.014;
+var e_m; stderr 0.005;
+end;
+
+steady;
+
+stoch_simul(order=2,use_k_order,periods=1000);
+
+oo1 = load('fs2000k2a_results','oo_');
+
+dr0 = oo1.oo_.dr;
+dr = oo_.dr;
+
+if max(max(abs(dr0.ghx - dr.ghx))) > 1e-12;
+   disp('error in ghx');
+end;
+if max(max(abs(dr0.ghu - dr.ghu))) > 1e-12;
+   disp('error in ghu');
+end;
+if max(max(abs(dr0.ghxx - dr.ghxx))) > 1e-12;
+   disp('error in ghxx');
+end;
+if max(max(abs(dr0.ghuu - dr.ghuu))) > 1e-12;
+   disp('error in ghuu');
+end;
+if max(max(abs(dr0.ghxu - dr.ghxu))) > 1e-12;
+   disp('error in ghxu');
+end;
+if max(max(abs(dr0.ghs2 - dr.ghs2))) > 1e-12;
+   disp('error in ghs2');
+end;
+
diff --git a/tests/k_order_perturbation/fs2000k2a.mod b/tests/k_order_perturbation/fs2000k2a.mod
new file mode 100644
index 000000000..3451779f6
--- /dev/null
+++ b/tests/k_order_perturbation/fs2000k2a.mod
@@ -0,0 +1,60 @@
+// checks for order = 2 that use_k_order = 0 (this file) and use_k_order = 1 (fs2000k2)
+// give the same results
+
+var m P c e W R k d n l gy_obs gp_obs y dA ;
+varexo e_a e_m;
+
+parameters alp bet gam mst rho psi del;
+
+alp = 0.33;
+bet = 0.99;
+gam = 0.003;
+mst = 1.011;
+rho = 0.7;
+psi = 0.787;
+del = 0.02;
+
+model;
+dA = exp(gam+e_a);
+log(m) = (1-rho)*log(mst) + rho*log(m(-1))+e_m;
+-P/(c(+1)*P(+1)*m)+bet*P(+1)*(alp*exp(-alp*(gam+log(e(+1))))*k^(alp-1)*n(+1)^(1-alp)+(1-del)*exp(-(gam+log(e(+1)))))/(c(+2)*P(+2)*m(+1))=0;
+W = l/n;
+-(psi/(1-psi))*(c*P/(1-n))+l/n = 0;
+R = P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(-alp)/W;
+1/(c*P)-bet*P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)/(m*l*c(+1)*P(+1)) = 0;
+c+k = exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)+(1-del)*exp(-(gam+e_a))*k(-1);
+P*c = m;
+m-1+d = l;
+e = exp(e_a);
+y = k(-1)^alp*n^(1-alp)*exp(-alp*(gam+e_a));
+gy_obs = dA*y/y(-1);
+gp_obs = (P/P(-1))*m(-1)/dA;
+end;
+
+initval;
+m = mst;
+P = 2.25;
+c = 0.45;
+e = 1;
+W = 4;
+R = 1.02;
+k = 6;
+d = 0.85;
+n = 0.19;
+l = 0.86;
+y = 0.6;
+gy_obs = exp(gam);
+gp_obs = exp(-gam); 
+dA = exp(gam);
+end;
+
+shocks;
+var e_a; stderr 0.014;
+var e_m; stderr 0.005;
+end;
+
+steady;
+
+stoch_simul(order=2);
+
+
diff --git a/tests/k_order_perturbation/fs2000k3.mod b/tests/k_order_perturbation/fs2000k3.mod
new file mode 100644
index 000000000..738c8ab0f
--- /dev/null
+++ b/tests/k_order_perturbation/fs2000k3.mod
@@ -0,0 +1,80 @@
+// checks whether second order coefficients are the same with order=2 and order=3 with use_k_order=1
+
+var m P c e W R k d n l gy_obs gp_obs y dA ;
+varexo e_a e_m;
+
+parameters alp bet gam mst rho psi del;
+
+alp = 0.33;
+bet = 0.99;
+gam = 0.003;
+mst = 1.011;
+rho = 0.7;
+psi = 0.787;
+del = 0.02;
+
+model (use_dll);
+dA = exp(gam+e_a);
+log(m) = (1-rho)*log(mst) + rho*log(m(-1))+e_m;
+-P/(c(+1)*P(+1)*m)+bet*P(+1)*(alp*exp(-alp*(gam+log(e(+1))))*k^(alp-1)*n(+1)^(1-alp)+(1-del)*exp(-(gam+log(e(+1)))))/(c(+2)*P(+2)*m(+1))=0;
+W = l/n;
+-(psi/(1-psi))*(c*P/(1-n))+l/n = 0;
+R = P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(-alp)/W;
+1/(c*P)-bet*P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)/(m*l*c(+1)*P(+1)) = 0;
+c+k = exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)+(1-del)*exp(-(gam+e_a))*k(-1);
+P*c = m;
+m-1+d = l;
+e = exp(e_a);
+y = k(-1)^alp*n^(1-alp)*exp(-alp*(gam+e_a));
+gy_obs = dA*y/y(-1);
+gp_obs = (P/P(-1))*m(-1)/dA;
+end;
+
+initval;
+m = mst;
+P = 2.25;
+c = 0.45;
+e = 1;
+W = 4;
+R = 1.02;
+k = 6;
+d = 0.85;
+n = 0.19;
+l = 0.86;
+y = 0.6;
+gy_obs = exp(gam);
+gp_obs = exp(-gam); 
+dA = exp(gam);
+end;
+
+shocks;
+var e_a; stderr 0.014;
+var e_m; stderr 0.005;
+end;
+
+steady;
+
+stoch_simul(order=3,periods=1000);
+
+if ~exist('fs2000k2a_results.mat','file');
+   error('fs2000k2a must be run first');
+end;
+
+oo1 = load('fs2000k2a_results','oo_');
+
+dr0 = oo1.oo_.dr;
+dr = oo_.dr;
+
+if max(max(abs(dr0.ghxx - dr.ghxx))) > 1e-12;
+   disp('error in ghxx');
+end;
+if max(max(abs(dr0.ghuu - dr.ghuu))) > 1e-12;
+   disp('error in ghuu');
+end;
+if max(max(abs(dr0.ghxu - dr.ghxu))) > 1e-12;
+   disp('error in ghxu');
+end;
+if max(max(abs(dr0.ghs2 - dr.ghs2))) > 1e-12;
+   disp('error in ghs2');
+end;
+
diff --git a/tests/k_order_perturbation/fs2000k_1.mod b/tests/k_order_perturbation/fs2000k_1.mod
new file mode 100644
index 000000000..c43f262f2
--- /dev/null
+++ b/tests/k_order_perturbation/fs2000k_1.mod
@@ -0,0 +1,89 @@
+var m P c e W R k d n l gy_obs gp_obs y dA ;
+varexo e_a e_m;
+
+parameters alp bet gam mst rho psi del;
+
+alp = 0.33;
+bet = 0.99;
+gam = 0.003;
+mst = 1.011;
+rho = 0.7;
+psi = 0.787;
+del = 0.02;
+
+model (use_dll);
+dA = exp(gam+e_a);
+log(m) = (1-rho)*log(mst) + rho*log(m(-1))+e_m;
+-P/(c(+1)*P(+1)*m)+bet*P(+1)*(alp*exp(-alp*(gam+log(e(+1))))*k^(alp-1)*n(+1)^(1-alp)+(1-del)*exp(-(gam+log(e(+1)))))/(c(+2)*P(+2)*m(+1))=0;
+W = l/n;
+-(psi/(1-psi))*(c*P/(1-n))+l/n = 0;
+R = P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(-alp)/W;
+1/(c*P)-bet*P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)/(m*l*c(+1)*P(+1)) = 0;
+c+k = exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)+(1-del)*exp(-(gam+e_a))*k(-1);
+P*c = m;
+m-1+d = l;
+e = exp(e_a);
+y = k(-1)^alp*n^(1-alp)*exp(-alp*(gam+e_a));
+gy_obs = dA*y/y(-1);
+gp_obs = (P/P(-1))*m(-1)/dA;
+end;
+
+initval;
+m = mst;
+P = 2.25;
+c = 0.45;
+e = 1;
+W = 4;
+R = 1.02;
+k = 6;
+d = 0.85;
+n = 0.19;
+l = 0.86;
+y = 0.6;
+gy_obs = exp(gam);
+gp_obs = exp(-gam); 
+dA = exp(gam);
+end;
+
+shocks;
+var e_a; stderr 0.014;
+var e_m; stderr 0.005;
+end;
+
+steady;
+
+stoch_simul(order=2,use_k_order,irf=0);
+
+if ~exist('fs2000k2_results.mat','file');
+   error('fs2000k2 must be run first');
+end;
+
+oo1 = load('fs2000k2_results','oo_');
+
+dr0 = oo1.oo_.dr;
+dr = oo_.dr;
+
+ikr = [15 1:3 16 4:7 12 10 11 13 14];
+ikc = [1 3 4 2];
+ikc2 = [1 3 4 2 9 11 12 10 13 15 16 14 5 7 8 6];
+ikc2u = [1 2 5 6 7 8 3 4];
+
+if max(max(abs(dr0.ghx(ikr,ikc) - dr.ghx(1:end-1,:)))) > 1e-12;
+   disp('error in ghx');
+end;
+if max(max(abs(dr0.ghu(ikr,:) - dr.ghu(1:end-1,:)))) > 1e-12;
+   disp('error in ghu');
+end;
+if max(max(abs(dr0.ghxx(ikr,ikc2) - dr.ghxx(1:end-1,:)))) > 1e-12;
+   disp('error in ghxx');
+end;
+if max(max(abs(dr0.ghuu(ikr,:) - dr.ghuu(1:end-1,:)))) > 1e-12;
+   disp('error in ghuu');
+end;
+if max(max(abs(dr0.ghxu(ikr,ikc2u) - dr.ghxu(1:end-1,:)))) > 1e-12;
+   disp('error in ghxu');
+end;
+if max(max(abs(dr0.ghs2(ikr,:) - dr.ghs2(1:end-1,:)))) > 1e-12;
+   disp('error in ghs2');
+end;
+
diff --git a/tests/k_order_perturbation/fs2000kb.mod b/tests/k_order_perturbation/fs2000kb.mod
new file mode 100644
index 000000000..c1d152b02
--- /dev/null
+++ b/tests/k_order_perturbation/fs2000kb.mod
@@ -0,0 +1,89 @@
+// checks whether second order coefficients are the same with order=2 and order=3 with use_k_order=1
+
+var m m_1 P P_1 c e W R k d n l gy_obs gp_obs y dA AUXv;
+varexo e_a e_m;
+
+parameters alp bet gam mst rho psi del;
+
+alp = 0.33;
+bet = 0.99;
+gam = 0.003;
+mst = 1.011;
+rho = 0.7;
+psi = 0.787;
+del = 0.02;
+
+model (use_dll);
+dA = exp(gam+e_a);
+log(m) = (1-rho)*log(mst) + rho*log(m_1(-1))+e_m;
+-P/(c(+1)*P(+1)*m)+AUXv(+1);
+W = l/n;
+-(psi/(1-psi))*(c*P/(1-n))+l/n = 0;
+R = P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(-alp)/W;
+1/(c*P)-bet*P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)/(m*l*c(+1)*P(+1)) = 0;
+c+k = exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)+(1-del)*exp(-(gam+e_a))*k(-1);
+P*c = m;
+m-1+d = l;
+e = exp(e_a);
+y = k(-1)^alp*n^(1-alp)*exp(-alp*(gam+e_a));
+gy_obs = dA*y/y(-1);
+gp_obs = (P/P_1(-1))*m_1(-1)/dA;
+m_1 = m;
+P_1 = P;
+AUXv = bet*P*(alp*exp(-alp*(gam+log(e)))*k(-1)^(alp-1)*n^(1-alp)+(1-del)*exp(-(gam+log(e))))/(c(+1)*P(+1)*m);
+end;
+
+initval;
+m = mst;
+m_1=mst;
+P = 2.25;
+P_1 = 2.25;
+c = 0.45;
+e = 1;
+W = 4;
+R = 1.02;
+k = 6;
+d = 0.85;
+n = 0.19;
+l = 0.86;
+y = 0.6;
+gy_obs = exp(gam);
+gp_obs = exp(-gam); 
+dA = exp(gam);
+AUXv = 1;
+end;
+
+shocks;
+var e_a; stderr 0.014;
+var e_m; stderr 0.005;
+end;
+
+steady;
+
+stoch_simul(order=2,use_k_order,periods=1000);
+
+if ~exist('fs2000k2a_results.mat','file');
+   error('fs2000k2a must be run first');
+end;
+
+oo1 = load('fs2000k2a_results','oo_');
+
+dr0 = oo1.oo_.dr;
+dr = oo_.dr;
+
+ikr = [2:10 1 13:17];
+ikc2 = [1 3 4 2 9 11 12 10 13 15 16 14 5 7 8 6];
+
+if max(max(abs(dr0.ghxx - dr.ghxx(ikr,ikc2)))) > 1e-12;
+   disp('error in ghxx');
+end;
+if max(max(abs(dr0.ghuu - dr.ghuu(ikr,:)))) > 1e-12;
+   disp('error in ghuu');
+end;
+if max(max(abs(dr0.ghxu - dr.ghxu(ikr,[1 2 5:8 3 4])))) > 1e-12;
+   disp('error in ghxu');
+end;
+if max(max(abs(dr0.ghs2 - dr.ghs2(ikr)))) > 1e-12;
+   disp('error in ghs2');
+end;
+