GARCH(1,1) with constraints

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DiederikvanGemert
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Joined: Sat Feb 07, 2015 6:13 am

GARCH(1,1) with constraints

Postby DiederikvanGemert » Sat Feb 07, 2015 6:27 am

Hello everybody,

I am modelling volatility through different GARCH models, in order to find the best fitting volatility for a VAR estimation. I am quite new to EViews and have been looking around this forum for an answer to my question, unfortunately I haven't found an answer to my question.

When doing a GARCH(1,1) on NASDAQ returns I get a result where (A+B)>1. I read on this forum that I should impose restrictions on alpha en beta by adding exp(alpha) and exp(beta) but then I get a near singular matrix (see image). My equation is as follows: Y c AR(1). How can I get my combined alpha and beta to be lower than 1? Same holds when I am performing an EGARCH model.

Any help is appreciated.
Attachments
volatility modelling 1995-2014.WF1
Workfile
(170.28 KiB) Downloaded 182 times
nearsingularmatrix.png
Near singular matrix
nearsingularmatrix.png (38.97 KiB) Viewed 2469 times
GARCH.png
GARCH
GARCH.png (34.2 KiB) Viewed 2469 times

trubador
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Posts: 1520
Joined: Thu Nov 20, 2008 12:04 pm

Re: GARCH(1,1) with constraints

Postby trubador » Sat Feb 07, 2015 4:44 pm

1) A+B>1 is a condition to check the stability of your GARCH model ex-post.
2) GARCH model requires the residuals of the mean equation to be stationary.
3) You will soon discover that the return formula of nasdaq_100 is incorrect.


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