Problem calculating a FEVD
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Hey guys
I'm kind of struggling with calculating the FEVDs of two shocks (GDP shock and monetary policy shock) to the two variables up to horizon h = 20.
Here is my code:
cholesky=chol(sigma,'lower')
cholesky_inv = inv(cholesky);
I=eye(2);
% First compute the 0th until 20th power of B%
coef=B(2:3,:);
coef_power=zeros(2,2,21);
for n=1:21
coef_power(:,:,n)=coef^(n-1);
end
% First compute MSE(h,y) en MSE(r,y)
MSE= zeros(2,2,21)
MSE(:,:,1)= coef*cholesky_inv * I * cholesky_inv'*coef'
for n=1:21
MSE(:,:,n)=coef_power(:,:,n)*cholesky_inv * I * cholesky_inv' * coef_power(:,:,n)'
end
MSE_hy= MSE(1,1,:);
MSE_ry= MSE(2,2,:);
% compute MSE(h,y/Ey,t = 0)
cholesky2=chol(sigma,'upper');
cholesky2_inv=inv(cholesky2);
MSE2= zeros(2,2,21)
MSE2(:,:,1)= coef*cholesky_inv * I * cholesky_inv'*coef'
for n=1:21
MSE2(:,:,n)=coef_power(:,:,n)*cholesky2_inv * I * cholesky2_inv' * coef_power(:,:,n)'
end
MSE2_hy= MSE2(1,1,:);
MSE2_ry= MSE2(2,2,:);
FEVD_y = MSE2_hy./MSE_hy
FEVD_r = MSE2_ry./MSE_ry
Can anyone help me out?
Cheers
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