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problem in deriving unconditional std dev (asymp.sd) in garch

To: s-news@lists.biostat.wustl.edu
Subject: problem in deriving unconditional std dev (asymp.sd) in garch
From: "Abhijit Sarkar" <abhijit.sarkar@iitb.ac.in>
Date: Sat, 5 Aug 2006 05:45:01 +0530 (IST)
Importance: Normal
Reply-to: abhijit.sarkar@iitb.ac.in
User-agent: SquirrelMail/1.4.5
Hi!

Why does the
>estimated.eqn$asymp.sd
command for deriving unconditional std dev of GARCH residuals returns
1[NA] whenever exogeneous explanatory variables are included in the
conditional variance equation?

eg. command including exogeneous explanatory variables in conditional
variance equation, returning an NA:

>private.egarch<-garch(private~1, x=ytmfin, z=sigma.ytmfin,
+ series.start=2, x.start=2, z.start=2, ~egarch(1,1),leverage=T)
>usd=private.egarch$asymp.sd
>usd
[1]NA

but once you drop z (ie. the exogoneous explanatory variable in
conditional volatility equation), the problem disappears:

>private.egarch.noZ<-garch(private~1, x=ytmfin,
+ series.start=2, x.start=2, ~egarch(1,1),leverage=T)
> usd.noZ = private.egarch.noZ$asymp.sd
> usd.noZ
[1] 0.0374903

I was basically trying to estimate the news impact curve. The above
problem persists with tgarch and pgarch also (...and garch too).

-- 
Abhijit Sarkar
UGC-SRF (Economics)
Dept. of Humanities and Social Sciences
IIT Bombay
Powai, Mumbai,
Maharashtra, India, 400076



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