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基于Bates模型的欧式离散障碍期权定价

薛广明 邓国和

华中师范大学学报(自然科学版)2018,Vol.52Issue(2):164-171,8.
华中师范大学学报(自然科学版)2018,Vol.52Issue(2):164-171,8.DOI:10.19603/j.cnki.1000-1190.2018.02.003

基于Bates模型的欧式离散障碍期权定价

Pricing European discrete barrier option based on Bates model

薛广明 1邓国和2

作者信息

  • 1. 广西财经学院信息与统计学院,南宁530003
  • 2. 广西师范大学数学与统计学院,广西桂林541004
  • 折叠

摘要

Abstract

Pricing European discrete barrier option is considered under the Bates model in this paper.Some stochastic analysis approaches such as the semi martingale It(o) formula,multivariate characteristic functions depending on at least two spot values for different points in time,Girsanov theorem,and Fourier inverse transform technique are used to derive the explicit formulas for the European discrete barrier call option.The impacts of some parameters in stochastic volatility process on the values of the barrier option values are examined by some numerical experiments,It is very useful for pricing the continuously monitored barrier options or other path dependent options.

关键词

Bates模型/障碍期权/Fourier反变换/数值实例

Key words

Bates model/discretely monitored barrier options/Fourier inverse transform/numerical examples

分类

数理科学

引用本文复制引用

薛广明,邓国和..基于Bates模型的欧式离散障碍期权定价[J].华中师范大学学报(自然科学版),2018,52(2):164-171,8.

基金项目

国家自然科学基金项目(11461008) (11461008)

广西经济预测与决策中心开放性课题项目(2015YBKT16) (2015YBKT16)

广西财经学院青年教师科研发展基金项目(2017QNB07). (2017QNB07)

华中师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1000-1190

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