Fast and Accurate Exercise Policies for Bermudan Swaptions in Libor Market Model
24 Pages Posted: 27 May 2015 Last revised: 1 Jun 2015
Date Written: April 25, 2013
Abstract
This paper describes an American Monte Carlo approach for obtaining fast and accurate exercise policies for pricing of callable LIBOR Exotics (e.g., Bermudan swaptions) in the LIBOR market model using the Stochastic Grid Bundling Method (SGBM). SGBM is a bundling and regression based Monte Carlo method where the continuation value is projected onto a space where the distribution is known. We also demonstrate an algorithm to obtain accurate and tight lower-upper bound values without the need for nested Monte Carlo simulations.
Keywords: Applied mathematical finance; Bermudan swaptions; Computational finance; Derivative pricing models; Interest rate modelling; LIBOR Market Model
JEL Classification: C63, C61, C15
Suggested Citation: Suggested Citation