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pavelgrib
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Joined: September 12th, 2003, 3:29 am

modeling mean-reversion parameter

January 5th, 2005, 3:39 pm

Hello all,I am trying to model the mean reversion parameter lambda from the Ohrenstein-Uhlenbeck SDE ( dS = lambda ( S - Sbar ) dt + sigma dW. I have a large time-series to work with. Any guidance is appreciated. Thanks.
 
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gnatty8
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Joined: July 14th, 2002, 3:00 am

modeling mean-reversion parameter

January 7th, 2005, 1:54 pm

I would probably start by searching these forums for "mean reversion calibration" as I recall seeing many threads dealing with this over the past few years. Dixit and Pindyck also discuss methods in their "Investment Under Uncertainty". I also recall seeing many articles related ot calibrating mean reversion parameters written by Clewlow and Strickland, primarily for the commodity sector. Try googling "Clewlow Strickland Mean Reversion" and I think you will have some luck. Generally, regression is a good start, but other methods like MLE can yield better estimates.