期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

基于NIG模型的远期开始期权的定价

  • 河北师范大学 数学科学学院, 河北 石家庄 050024
  • DOI: 10.13763/j.cnki.jhebnu.nse.2020.06.002

The Pricing of Forward-start Option Based on NIG Model

摘要/Abstract

摘要:

在标的资产价格服从指数NIG过程的条件下研究远期开始期权的定价问题.首先通过测度变换,把到期收益的期望转化成了示性函数的期望,从而得到了用对数收益的特征函数的积分表示的远期开始看涨、看跌期权的定价公式;其次讨论了期权价格对标的资产价格和时间的敏感性.

Abstract:

The aim of this paper is to price forward-start option under the assumption that the underlying asset price follows exponential NIG process.Firstly,the pricing formulas of the forward-start call and put options,in terms of the integral of the characteristic function of log return,are obtained by the help of measure transform.Then,we study the sensitivity of option price to underlying asset price and time.

参考文献 9

  • [1] 张光平.奇异期权[M].北京:机械工业出版社,2014. ZHANG Guangping.Exotic Options[M].Beijing:China Machine Press,2004.
  • [2] ZHANG S,SUN Y.Forward Starting Options Pricing with Double Stochastic Volatility,Stochastic Interest Rates and Double Jumps[J].Journal of Computational and Applied Mathematics,2017,325:34-41.
  • [3] SCHOUTENS W.Levy Processes in Finance:Pricing Financial Derivatives[M].Chichester:John Wiley & Sons,2003.
  • [4] LI C,LIU H,WANG M,LI W.The Pricing of Compound Option Under Variance Gamma Process by FFT[J].Communications in Statistics:Theory and Methods,2020(1):1-15.doi.10.1080/03610926.2020.1740268
  • [5] BARNDORFF N O E.Normal Inverse Gaussian Processes and Modelling of Stock Returns[R].Aarhus:Department of Theoretical Statistics,Institute of Mathematics,University of Aarhus,1995.
  • [6] HANSJORG A,MARTIN P.On Asian Option Pricing for NIG Levy Processes[J].Journal of Computational and Applied Mathematics,2004,172(1):153-168.
  • [7] FIMA C.Introduction to Stochastic Calculus with Applications[M].北京:人民邮电出版社,2008.
  • [8] SHEPHARD N G.From Characteristic Function to Distribution Function:A Simple Framework for the Theory[J].Econometric Theory,1991,7(4):519-529.
  • [9] HULL J C.Options,Futures,and Other Derivatives[M].9th ed.New York:Pearson Education,2014.