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Looking for an article...
Posted: April 29th, 2003, 8:55 am
by nono
I look for the following article: "A correction note on the first passage time of an Ornstein-Ulhenbeck process to a boundary"by: O. Renault, O.Scaillet, B. LeblancAny help appreciated
Looking for an article...
Posted: April 29th, 2003, 9:13 am
by richg
I don't have a PDF of the paper, but in case you have access to this journal, I believe that the paper was published in Finance and Stochastics in 2000.richg.
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Posted: April 30th, 2003, 11:21 am
by pb273
Here you go ..
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Posted: April 30th, 2003, 11:22 am
by pb273
I hope I am not breaking any rules ...
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Posted: April 30th, 2003, 2:15 pm
by nono
pb, thanks a million for the article
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Posted: May 30th, 2003, 7:27 am
by Soren
Word of advice, "A correction note on the first passage time of an Ornstein-Ulhenbeck process to a boundary"has an error in the expression for the passage time density if your boundary <> 0. If you try to plug it into excel and do a fast numerical integration you will be lucky if it integrates to 1...See:"A clarification note about hitting times densities for Ornstein-Uhlenbeck processes" (2002) by Anja Göing-Jaeschke and Marc Yor (publicly available from
www.MaPhySto.dk)The abstract says it all:In this note, we point out that the formula given in the correction note by Leblanc et al. [5] for the distribution of the first hitting time of b by an Ornstein-Uhlenbeck process starting from a is only true in case b=0. The catch, there is always a catch..., is that Göing-Jaeschke and Yor do not derive the hitting time density for an arbitrary boundary, but only for the 0 case. At first this might be ok, but normally what we need in finance is the hitting time density for the Vasicek type which requires a time and position change to fit the setup of Göing-Jaeschke and Yor, rendering the boundary b<>0. If anyone should have the expression for the density for a general Vasicek type process for a nonzero boundary I would be delighted to see it!
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Posted: May 30th, 2003, 12:37 pm
by Martingale
A related(relatively recent) article is by Patie
http://www.risklab.ch/Papers.html#FirstPassageTimesGOUI believe Duffie etal also has been doing things for affine processes and he should have some write ups in his homepage.