Variance equation in EGARCH command

For econometric discussions not necessarily related to EViews.

Moderators: EViews Gareth, EViews Moderator

strypste
Posts: 53
Joined: Tue Jan 24, 2012 8:54 am

Variance equation in EGARCH command

Postby strypste » Tue Jan 24, 2012 9:35 am

Dear all

Why does Eviews uses equation 7.22 in the manual(page 209) as the variance equation in the EGARCH model
and not the original Nelson (1991) specification as in the equation below equation 7.22 (also on page 209)?

Also, in the manual they explain that this will only affect the intercept.
They argue with p=1 and normal distribution the difference will be alpha_1*(2/pi)^(1/2). Could somebody explain this?

Cheers
S

EViews Glenn
EViews Developer
Posts: 2682
Joined: Wed Oct 15, 2008 9:17 am

Re: Variance equation in EGARCH command

Postby EViews Glenn » Tue Jan 24, 2012 11:05 am

It's a relatively harmless normalization that simplifies the calculation since we don't need to compute the expected value term for all possible distributions.

Having said that, I'm glad you pointed this out as I notice that there's an error in the documentation. The correct terms with respect to alpha are

|e/sigma| - E(|e/sigma|)

They put the absolute values in the wrong place in our docs.

The absolute value is why you get the sqrt(2/pi) term for the normal.

strypste
Posts: 53
Joined: Tue Jan 24, 2012 8:54 am

Re: Variance equation in EGARCH command

Postby strypste » Wed Jan 25, 2012 9:28 am

Ok, Thanks!

Now it is indeed consistent with Nelson (1991).

S


Return to “Econometric Discussions”

Who is online

Users browsing this forum: No registered users and 2 guests