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question for GARCH model

To: <s-news@wubios.wustl.edu>
Subject: question for GARCH model
From: "Wu Yuan-Kang" <yk.wu@eee.strath.ac.uk>
Date: Sun, 21 Dec 2003 18:20:54 -0000

Dear Prof.,

   I am very sorry to disturb you for my question. I am a PhD student in Electrical Engineering of Strathclyde University. It is no doubted that you are an expert on the GARCH modelling. In my research, I used GARCH(1,1) model to evaluate the volatility on electricity price in the deregulated power market because the time series of electricity price consist of fat tail and volatility clustering characteristic. However, when using the GARCH model to evaluate the price volatility, it needs to compare the modelled volatility values and the real ones? That is, it would be convenient to include some numerical quantification of the accuracy of the GARCH method: mean error, maximum error, and residual distribution? How to define the real volatility?

My second question is :

In general, the volatility of electricity price is defined as the rate of electricity price returns. However, the definition of  volatility on GARCH model is referred as the next period variance? What is the difference?

I am very sorry that I am not a student of financial department. However, this topic will play an important role in the future power market.

Thanks you very much

Best regards,

---------------------------------------------------------------------------------
Wu Yuan-Kang
Power Systems Research Group
Department of Electronic and Electrical Engineering
University of Strathclyde
204 George Street, Glasgow G1 1XW, United Kingdom
 
Tel: 44 141 5482638
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