Advances in Mathematical Economics Volume 18 pp 61-99

Part of the Advances in Mathematical Economics book series (MATHECON, volume 18) | Cite as

Stochastic Mesh Methods for Hörmander Type Diffusion Processes

Chapter

Abstract

In the present paper the authors discuss the efficiency of stochastic mesh methods introduced by Broadie and Glasserman (J Comput Finance 7(4):35–72, 2004). The authors apply stochastic mesh methods to certain type of Hörmander type diffusion processes and show the following. (1) If one carefully takes partitions, the estimated price of American option converges to the real price with probability one. (2) One can obtain better estimates by re-simulation methods discussed in Belomestny (Finance Stoch 15:655–683, 2011), although the order is not so sharp as his result.

Key words

Computational finance Malliavin calculus Option pricing Stochastic mesh method 

References

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Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Graduate School of Mathematical SciencesThe University of TokyoTokyoJapan
  2. 2.Bank of Tokyo Mitsubishi UFJTokyoJapan

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