Tid: 4 september 2000 kl 1515-1600
Plats : Seminarierummet 3733, Institutionen för matematik, KTH, Lindstedts väg 25, plan 7. Karta!
Föredragshållare: Andreas Mattson .
Titel: Pricing of Bermudan Swaptions Using a Monte Carlo Simulation Approach
Sammanfattning:
This work presents an implementation of a Monte Carlo method using least squares for pricing Bermudan swaptions. The first part of the work describes the model used for the evolution of the interest rate structure, the Brace-Gatarek-Musiela model. The second part discusses the pricing of Bermudan swaptions in general, and a method proposed by Longstaff and Schwartz in detail. The method uses least squares to get a conditional expected value of continuation at each possible exercise date, which in turn is used to estimate the optimal stopping rule and to price the instrument. Using a Monte Carlo method, one can avoid difficulties of path dependency and problems with many factors experienced in a tree approach.