Backward Stochastic Differential Equations

Backward Stochastic Differential Equations
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后向随机微分方程

DOI:
10.1002/9780470061602.eqf02020
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发表时间:
2010
期刊:
影响因子:
--
通讯作者:
M. Quenez
M. Quenez
中科院分区:
--
文献类型:
--
作者:
M. Quenez

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倒向随机微分方程是一类终端条件为给定随机变量的随机微分方程。我们给出了倒向随机微分方程的主要性质以及在欧式衍生品定价和套期保值、风险度量和递归效用等方面的一些经典应用。我们还介绍了反射BSDES和他们的应用程序的美式期权定价。 保留字: 倒向随机微分方程; B.1.1. 随机控制; 反思; 定价; 美式期权; 风险度量; 递归效用
Backward stochastic differential equations (BSDEs) are stochastic differential equations where the terminal condition is a given random variable. We give the main properties of BSDEs and some classical applications to the pricing and hedging of European derivatives, risk measures, and recursive utilities. We also present reflected BSDEs and their application to the pricing of American options. Keywords: backward stochastic differential equation; BSDE; stochastic control; reflection; pricing; American options; risk measure; recursive utility
DOI: 10.1016/0167-6911(90)90082-6
发表时间: 1990-01-01
影响因子: 2.6
作者:
PARDOUX, E;PENG, SG
通讯作者: PENG, SG