A Dynamic Programming Approach for Pricing Options Embedded in Bonds

Hatem Ben-Ameur and Michèle Breton

No 237, Computing in Economics and Finance 2004 from Society for Computational Economics

Abstract: The aim of this paper is to price options embedded in bonds in a Dynamic Programming (DP) framework, the focus being on call and put options with advance notice. The pricing of interest rate derivatives was usually done via trees or finite differences. Trees are not really very efficient as they deform crudely the dynamic of the underlying asset(s), here the short term risk-free interest rate. They can be interpreted as elementary DP procedures with fixed grid sizes. For a long time, finite differences presented poor accuracy because of the discontinuities of the bond's value that may arise at decision dates. Recently, remedies were given by d'Halluin et al (2001) via techniques related to flux limiters. DP does not suffer from discontinuities that may arise at decision dates and does not require a time discretization. It may also be implemented in discrete-time models. Results show efficiency and robustness. Suggestions to combine DP and finite differences are also formulated

Keywords: Dynamic Programming; Stochastic Processes; Options Embedded in Bonds; American Options (search for similar items in EconPapers)
JEL-codes: C61 (search for similar items in EconPapers)
Date: 2004-08-11
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Citations: View citations in EconPapers (3)

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