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Dziemian
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Joined: September 12th, 2011, 10:08 am

Simple GARCH(1,1) Log Likelihood First Order Derivatives for Conditional Variance Functions Parameters

September 13th, 2011, 12:23 pm

Hi,This is actually my first post here so I would like to say 'Hello!' to everyone. Now let's get to the point.I'm working on GARCH(1,1) code in excel and I'm in need of analytical first order derivatives of GARCH(1,1) Log Likelihood for conditional variance function (their final form) to compare it to my own results or is it OK to obtain them using finite difference method? I would be grateful for any help.Additionally I have few other questions:- What is the approximately correct value of first order derivatives for each observation? Should it be close to zero (for example <0.01)?- Similar question about value of 'Direction Vector' in BHHH algorithm?- What is the best way to calcualte step size in algorith mentioned above?Many thanks in advance!
Last edited by Dziemian on September 12th, 2011, 10:00 pm, edited 1 time in total.
 
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AVt
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Joined: December 29th, 2001, 8:23 pm

Simple GARCH(1,1) Log Likelihood First Order Derivatives for Conditional Variance Functions Parameters

September 22nd, 2011, 6:57 pm

Guess you can find it in some of the library codes, anyway here some stuff in C
 
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Dziemian
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Joined: September 12th, 2011, 10:08 am

Simple GARCH(1,1) Log Likelihood First Order Derivatives for Conditional Variance Functions Parameters

September 26th, 2011, 2:58 pm

AVt,Many thanks for that. I'm going to try this out as soon as i get back from work .Regards,Dziemian
 
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Alan696
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Joined: February 17th, 2011, 1:43 am

Simple GARCH(1,1) Log Likelihood First Order Derivatives for Conditional Variance Functions Parameters

October 1st, 2011, 3:02 pm

I've got RATS Algo if needed
 
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Dziemian
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Joined: September 12th, 2011, 10:08 am

Simple GARCH(1,1) Log Likelihood First Order Derivatives for Conditional Variance Functions Parameters

October 4th, 2011, 12:13 pm

Alan969,It could be useful as well so feel free to post it here. Thanks in advance.
 
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Alan696
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Simple GARCH(1,1) Log Likelihood First Order Derivatives for Conditional Variance Functions Parameters

October 25th, 2011, 10:05 pm

There is actually an integrated command othwerwise check RATS manual 7.0. You can also check on www.estima.com