Sydney Financial Mathematics Workshop

Sponsored by

Westpac


Rapid Computation of Prices and Greeks in the Li Model

Mark Joshi
Royal Bank of Scotland

Time: 5:15--7:00 pm
Date: Wednesday 29 Spetember 2004
Venue: Edith Lamb Room, Westpac Conference Centre, Ground Floor, 60 Martin Place, Sydney

Abstract

New techniques are introduced for pricing nth to default credit swaps and tranched CDOs in the Li model. We demonstrate the use of importance sampling to greatly increase the rate of convergence of Monte Carlo simulations for pricing. This technique is combined with the likelihood ratio and pathwise methods for computing the sensitivities of these products to changes in the hazard rates of the underlying obligors. In particular, the extension of the pathwise method has wider significance in that it is shown that the method can be used even when the pay-off is discontinuous.

Presentation


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