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双分数随机利率环境下汇率连动期权定价

刘淑琴 薛红

计算机与数字工程2019,Vol.47Issue(8):1874-1877,1946,5.
计算机与数字工程2019,Vol.47Issue(8):1874-1877,1946,5.DOI:10.3969/j.issn.1672-9722.2019.08.006

双分数随机利率环境下汇率连动期权定价

Quanto Option Pricing Models in Bifractional Stochastic Interest Rate

刘淑琴 1薛红1

作者信息

  • 1. 西安工程大学理学院 西安 710048
  • 折叠

摘要

Abstract

It is assumed that the stock price and exchange satisfies stochastic differential equation driven by bi-fractional Brownian motion. The interest rate satisfies the Vasicek model,by using the stochastic analysis theory for bi-fractional Brownian motion and the method of actuarial mathematics,the financial market mathematical model is built. And the pricing formula of quan?to option under bi-fractional stochastic interest rate is obtained. The result of the quanto option pricing formula in fractional Brown?ian motion is extended.

关键词

双分数布朗运动/随机利率/汇率连动期权/保险精算

Key words

bi-fractional Brownian motion/stochastic interest rate/quanto option/actuarial mathematics

分类

管理科学

引用本文复制引用

刘淑琴,薛红..双分数随机利率环境下汇率连动期权定价[J].计算机与数字工程,2019,47(8):1874-1877,1946,5.

基金项目

陕西省自然科学基础研究计划"双分数跳-扩散过程随机分析理论及其应用研究"(编号:2016JM1031)资助. (编号:2016JM1031)

计算机与数字工程

OACSTPCD

1672-9722

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