Second-order schemes for solving decoupled forward backward stochastic differential equations

被引:0
作者
ZHAO WeiDong [1 ]
LI Yang [2 ]
FU Yu [1 ]
机构
[1] School of Mathematics,Shandong University
[2] College of Science,University of Shanghai for Science and Technology
关键词
forward backward stochastic differential equations; second-order scheme; error estimate; trapezoidal rule; Malliavin calculus;
D O I
暂无
中图分类号
O211.63 [随机微分方程];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper,by using trapezoidal rule and the integration-by-parts formula of Malliavin calculus,we propose three new numerical schemes for solving decoupled forward-backward stochastic differential equations.We theoretically prove that the schemes have second-order convergence rate.To demonstrate the effectiveness and the second-order convergence rate,numerical tests are given.
引用
收藏
页码:665 / 686
页数:22
相关论文
共 6 条
[1]  
L p -error estimates for numerical schemes for solving certain kinds of backward stochastic differential equations[J] . Yang Li,Weidong Zhao.Statistics and Probability Letters . 2010 (21)
[2]   A forward scheme for backward SDEs [J].
Bender, Christian ;
Denk, Robert .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2007, 117 (12) :1793-1812
[3]  
Error expansion for the discretization of backward stochastic differential equations[J] . Emmanuel Gobet,Céline Labart.Stochastic Processes and their Applications . 2006 (7)
[4]  
Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations[J] . Bruno Bouchard,Nizar Touzi.Stochastic Processes and their Applications . 2003 (2)
[5]   Backward stochastic differential equations in finance [J].
El Karoui, N ;
Peng, S ;
Quenez, MC .
MATHEMATICAL FINANCE, 1997, 7 (01) :1-71
[6]  
Solving forward-backward stochastic differential equations explicitly — a four step scheme[J] . Jin Ma,Philip Protter,Jiongmin Yong.Probability Theory and Related Fields . 1994 (3)