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基于跳跃-扩散过程的亚式期权定价 被引量:2

Pricing for Asian Option Based on Jump-diffusion Process
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摘要 在标的资产价格跳过程为更新过程的假设下,研究了具有浮动敲定价格的亚式期权,通过自融资交易复制将路径依赖的亚式期权定价问题转化为与路径无关的微分方程的求解问题,拓展了刘宣会的结果。 On the assumption that the jump process in pricing of the underlying assets stock is a kind of renewal process, Asian Option with floating strike price was discussed. The pricing problem of Asian Option was changed into a differential equation with- out path - dependency by self - financing transaction replication. This deepened the research results of Liu Xuanhui in 2008.
作者 陈超 赵斐
出处 《武汉理工大学学报(信息与管理工程版)》 CAS 2010年第1期129-131,共3页 Journal of Wuhan University of Technology:Information & Management Engineering
基金 国家自然科学基金资助项目(87073113)
关键词 更新过程 鞅测度 对冲风险 亚式期权 跳扩散过程 renewal process martingale measure hedge risk Asian Option jump - diffusion process
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参考文献9

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  • 9刘宣会,徐成贤.基于跳跃-扩散过程的一类亚式期权定价[J].系统工程学报,2008,23(2):142-147. 被引量:22

二级参考文献14

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共引文献65

同被引文献9

  • 1COX J C, ROSS S A, RUBINSTEIN M. Option pricing: A simple approach[J], Journal of Finance Economics, 1979, 7 (2):229-263.
  • 2BARRAQUAND J P. Pricing of american path-dependent contingent claims [J]. Mathematical Finance,1996,3(1) :17-51.
  • 3SHREVE S,VECER J. Option on a trade account: Vacation calls. vacation puts and passport option [J]. Finance andStochastics,2000,8(4) :255-274.
  • 4VECER J. Unified asian pricing [J]. Risk,2002,15(6) :113-116.
  • 5MERTON R. An intertemporal capital asset pricing model [J]. Econometrica,1973,10(5) :467-888.
  • 6JEANBLANCE P.PONTIER M. Optimal portfolio for a small investor in a market model with discontinuous prices [J]. ApplMath Optim,1990,9(5) :287-310.
  • 7刘宣会,徐成贤.基于跳跃-扩散过程的一类亚式期权定价[J].系统工程学报,2008,23(2):142-147. 被引量:22
  • 8王志,彭勃,滕宇.跳扩散和随机利率模型下的欧式双向期权定价[J].数学的实践与认识,2010,40(6):9-14. 被引量:5
  • 9钱晓松.跳扩散模型中亚式期权的定价[J].应用数学,2003,16(4):161-164. 被引量:13

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