[R-SIG-Finance] cointegration using Johansen for VAR
algotr8der
algotr8der at gmail.com
Tue Apr 26 20:11:43 CEST 2011
Hi Dr. Bernhard,
Thank you for the clarification on the lag terms. I will use your advice in
building my model.
That being said, the output of ca.jo still confuses me. THe cointegration
vector should describe the long-run (in my case) equilibrium in the levels
of the variables and I guess the 'l17' suffix attached to the variables in
the output of ca.jo is confusing me. This is not explained in the
documentation.
Eigenvectors, normalised to first column:
(These are the cointegration relations)
V1.l17 V2.l17 V3.l17 V4.l17
constant
V1.l17 1.0000000 1.0000000 1.0000000 1.0000000 1.00000000
V2.l17 -0.2041193 -1.1345264 -0.3982231 -0.4862289 -0.21197975
V3.l17 -0.2584363 2.6858123 -0.8965070 -0.7727329 -0.43277884
V4.l17 -0.5167626 -0.8169243 -0.4955091 0.5102647 0.06214863
constant 5.2281138 -65.4213338 84.4998981 28.3856062 0.05660371
My understanding is that the long-run equilibrium cointegration relationship
is in the levels of the variables as follows:
V1 - 0.2041193*V2 - 0.2584363*V3 - 0.5167626*V4 + 5.2281138 = residuals
Would this be an accurate statement? Thank you kindly for your help.
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