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Fractional diffusion models of European option with Poisson process

  • Dianyu Song*
  • , Shancun Liu
  • , Hua Jin
  • *此作品的通讯作者
  • Beihang University

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

Under the hypothesis of underlying asset price with long-range correlations and jump in short time, the stock price model is constructed driven by fractional Brownian motion and jump process. Then an analytic solution for European option is obtained by quasi-martingale method in the environment of fractional Brownian motion and Poisson process. For the sake of understanding the model, the influence of Hurst parameter and Poisson process are also analyzed. Finally, the model pricing efficiency is compared with Black-Scholes model and Double exponential jump diffusion option pricing model by Baotou Steel JTB1 warrants.

源语言英语
主期刊名Proceedings - 2011 4th International Conference on Information Management, Innovation Management and Industrial Engineering, ICIII 2011
278-281
页数4
DOI
出版状态已出版 - 2011
活动4th International Conference on Information Management, Innovation Management and Industrial Engineering, ICIII 2011 - Shenzhen, 中国
期限: 26 11月 201127 11月 2011

出版系列

姓名Proceedings - 2011 4th International Conference on Information Management, Innovation Management and Industrial Engineering, ICIII 2011
3

会议

会议4th International Conference on Information Management, Innovation Management and Industrial Engineering, ICIII 2011
国家/地区中国
Shenzhen
时期26/11/1127/11/11

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