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混合分数布朗运动下两值期权的定价模型

付培 孙琳

佛山科学技术学院学报(自然科学版)2018,Vol.36Issue(2):13-19,7.
佛山科学技术学院学报(自然科学版)2018,Vol.36Issue(2):13-19,7.

混合分数布朗运动下两值期权的定价模型

Binary options pricing model in the mixed fractional Brownian motion environment

付培 1孙琳1

作者信息

  • 1. 广东工业大学应用数学学院,广东广州510520
  • 折叠

摘要

Abstract

Binary options are options that have only the corresponding value of the underlying asset's price, therefore have a discontinuity income of popular exotic option. In order to describe the long memory of the underlying asset and to eliminate the arbitrage in the financial market, this paper assumes that the underlying asset is subject to mixed fractional brown motion, binary option pricing model in the mixed fractional Brownian motion environment is obtained by using the martingale technique and stochastic analysis method. In order to understand the pricing model better, this paper analyzes the influence of Hurst index on pricing results.

关键词

混合分数布朗运动/两值期权/定价模型/拟条件期望

Key words

mixed fractional brownian motion/binary option/pricing model/quasi-conditional expectation

分类

数理科学

引用本文复制引用

付培,孙琳..混合分数布朗运动下两值期权的定价模型[J].佛山科学技术学院学报(自然科学版),2018,36(2):13-19,7.

基金项目

广东省自然科学基金资助项目(S2013010016270) (S2013010016270)

佛山科学技术学院学报(自然科学版)

1008-0171

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