Perpetual American options in models with default risk and random dividends

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Event details

Date 01.04.2009
Hour 16:15
Speaker Dr. Pavel Gapeev
Location
CM 09
Category Conferences - Seminars
We present closed form solutions to the problems of pricing of perpetual American standard options in two diffusion models of financial markets with presence of default risk. The method of proof is based on reducing the initial discounted optimal stopping problems to equivalent free-boundary problems and solving the latter by means of smooth-fit conditions. Applying the recently derived change-of-variable formula with local time on surfaces, we verify that the obtained solutions of the free-boundary problems turn out to be solutions of the initial optimal stopping problems. For more information, please see http://documents.epfl.ch/groups/s/se/seminar.prob/www/index.html .

Practical information

  • General public
  • Free

Contact

  • Prof. Robert Dalang

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