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jamaicaman
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Black-Scholes with Stochastic Intrerest Rates

March 17th, 2008, 11:15 pm

When interest rates are assumed to be stochastic Black Scholes framework still holds for pricing vanilla european equity puts/calls. Obviously using stochastic rates vs. constant rate leads to different prices or alternatively different implied volatilities.Would you be so kind to point me to a paper that shows a closed form solution for the volatility adjustment factor when rates follow Hull-White 1 factor model?
Last edited by jamaicaman on March 17th, 2008, 11:00 pm, edited 1 time in total.
 
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rplat
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Black-Scholes with Stochastic Intrerest Rates

March 19th, 2008, 5:17 am

It is in Appendix B in the book of Brigo & Mercurio.
 
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jamaicaman
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Black-Scholes with Stochastic Intrerest Rates

March 19th, 2008, 4:07 pm

Thank you!