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PAPERS

Weak Approximation of Stochastic Differential Equations and Application to Derivative Pricing

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Pages 107-121 | Received 24 Apr 2006, Accepted 05 Feb 2007, Published online: 17 Mar 2008
 

Abstract

A new, simple algorithm of order 2 is presented to approximate weakly stochastic differential equations. It is then applied to the problem of pricing Asian options under the Heston stochastic volatility model.

2000 Mathematics Subject Classification, 65C30, 65C05.

Acknowledgement

This research was partially supported by the Japanese Ministry of Education, Science, Sports and Culture, Grant‐in‐Aid for Scientific Research (C), 15540110, 2003.

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