Hi
I would not say that the ECT terms have to be between 0 and -1. it was not
clear to me whether you are referring to the cointegrating parameters (the
betas) or the speed adjustment (alphas)? For the betas, the values from
these vectors can take any value, but need to be normalised for
identification purpose.
For the alphas, the expected sign depends precisely on the corresponding
value in the cointegrating vector. The reasoning in the bi-variate case can
be simply extended to the k-variate. Taking a vector: y= b1 x - b2z, (with
b1 and b2 positive):
With a positive shocks, so that y > b1 x - b2z, if variables are "error
correcting" you expect:
-y to have negative alpha coefficient (should decrease the y to "reduce"
the inequality by reducing the left)
-x to have a positive coefficient (should increase the x in order to
"reduce" the inequality by increasing the right)
-z to have a negative coefficient (should increase the z in order to
"reduce" the inequality by increasing the right)
So I do not think one can say that the values should be bezween 0 and -1.
Best
Matthieu
2012/10/15 Claudio Shikida (敷田治誠 クラウジオ) <cdshikida(a)gmail.com>
Dear Asongu,
In Vinod, H.D. (2008)'s "Hands-on Intermediate Econometrics Using R", in
sections 3.4.2 to 3.4.5 I've found some hints for your question. The author
uses a bivariate ECM. If you consider no a priori knowledge for the
relationship between, say, x and y, so we have a system of two equations,
both with ECM's.
In this case, says the author: "If the equilibrium error experienced by
economic agent at time t-1 is positive, in inequality (yt-1 > bxt-1) must
hold. During the current period t decreasing the left-hand side (yt < yt-1
or deltayt < 0) and increasing the right-hand side (bxt > bxt-1, deltaxt >
0, since b >0) of the inequality reduces the equilibrium error. If the
agent learns from past errors in predictable ways, we have seen that this
implications on the signs of coefficients in [number of equation] implying
nonrejection of two hypothesis, gama1 > 0 and gama2 <0".
Gama1 and 2 are, respectively, the coefficients of the long-run
relationship in t-1 (as usual in VECM). The gama 1 is for delta xt's
equation and the gama 2 for the delta yt's one).
So, in this case, you should expect a positive coefficient for the
coefficient. Is that what you asked? Hope to have helped you.
Best Wishes,
Claudio D. Shikida
http://www.shikida.net and
http://works.bepress.com/claudio_shikida/
Esta mensagem pode conter informação confidencial e/ou privilegiada. Se
você não for o destinatário ou a pessoa autorizada a receber esta mensagem,
não poderá usar, copiar ou divulgar as informações nela contidas ou tomar
qualquer ação baseada nessas informações. Se você recebeu esta mensagem por
engano, por favor avise imediatamente o remetente, respondendo o presente
e-mail e apague-o em seguida.
This message may contain confidential and/or privileged information. If
you are not the addressee or authorized to receive this for the addressee,
you must not use, copy, disclose or take any action based on this message
or any information herein. If you have received this message in error,
please advise the sender immediately by reply e-mail and delete this
message.
On Sat, Oct 13, 2012 at 8:31 AM, Anutechia Asongu <
simplice_peace(a)yahoo.com> wrote:
>
> Hi All,
> I understand within a bivariate VECM framework, the Error
> Correction Terms(ECTs) have to be negative and situated within the
> interval: 0 and -1. Does this principle on sign and interval apply to a
> multivariate VECM framework?
> Cheers
>
>
> _______________________________________________
> Gretl-users mailing list
> Gretl-users(a)lists.wfu.edu
>
http://lists.wfu.edu/mailman/listinfo/gretl-users
>
_______________________________________________
Gretl-users mailing list
Gretl-users(a)lists.wfu.edu
http://lists.wfu.edu/mailman/listinfo/gretl-users