Numerical algorithms and simulations for reflected backward stochastic differential equations with two continuous barriers

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摘要

In this paper we study different algorithms for reflected backward stochastic differential equations (BSDE in short) with two continuous barriers based on the framework of using a binomial tree to simulate 1-d Brownian motion. We introduce numerical algorithms by the penalization method and the reflected method, respectively. In the end simulation results are also presented.

论文关键词:60H10,34K28,Backward stochastic differential equations with two continuous barriers,Penalization method,Discrete Brownian motion,Numerical simulation

论文评审过程:Received 27 September 2009, Revised 11 July 2011, Available online 7 August 2011.

论文官网地址:https://doi.org/10.1016/j.cam.2011.07.035