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Eigenvalues

PostPosted: Mon Aug 11, 2014 9:07 am
by Daniel Bendel
Dear Dynare Users,

when Dynare gives me the eigenvalues of my forward looking variables, it just prints out the values, but does not tell me which eigenvalue belongs to which forward looking variable. How can I get this information?

Thanks!

Daniel

Re: Eigenvalues

PostPosted: Mon Aug 11, 2014 11:57 am
by Daniel Bendel
To make things clearer. If I have the following output:

EIGENVALUES:
Modulus Real Imaginary

3.73e-22 3.73e-22 0
2.12e-19 2.12e-19 0
3.849e-19 -3.849e-19 0
6.237e-17 -6.237e-17 0
7.352e-17 7.352e-17 0
8.535e-17 -8.535e-17 0
2.242e-16 -2.242e-16 0
3.164e-16 -3.164e-16 0
3.981e-16 3.981e-16 0
0.6095 0.6095 0
0.75 0.75 0
0.7786 0.7786 0
0.95 0.95 0
0.95 0.95 0
0.95 0.95 0
0.95 0.95 0
0.954 0.954 0
1 1 0
1.077 1.077 0
1.335 1.335 0
1.338 1.332 0.1294
1.338 1.332 -0.1294
1.177e+16 -1.177e+16 0
3.117e+16 -3.117e+16 0
3.728e+16 3.728e+16 0
8.808e+16 8.808e+16 0
9.744e+16 9.744e+16 0
7.368e+17 -7.368e+17 0
1.606e+18 -1.606e+18 0
1.727e+18 1.727e+18 0
2.652e+36 -2.652e+36 0
Inf Inf 0


Okay, I see I have a unit root. But for which variable? How do I get this information?

Re: Eigenvalues

PostPosted: Mon Aug 11, 2014 12:34 pm
by jpfeifer
You can't. Your system of equations is not decoupled. The eigenvalues belong to an interdependent system. Only if all equations were completely independent of each other could you say that a particular eigenvalue belongs to a particular equation and variable. This can be seen in Klein/Gomme (2011).

Re: Eigenvalues

PostPosted: Mon Aug 11, 2014 12:49 pm
by Daniel Bendel
As always: thank you very much!