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文章基本信息

  • 标题:From Dynamic Linear Evaluation Rule to Dynamic CAPM in a Fractional Brownian Motion Environment
  • 本地全文:下载
  • 作者:Qing Zhou ; Chao Li
  • 期刊名称:Journal of Mathematical Finance
  • 印刷版ISSN:2162-2434
  • 电子版ISSN:2162-2442
  • 出版年度:2012
  • 卷号:2
  • 期号:4
  • 页码:315-320
  • DOI:10.4236/jmf.2012.24034
  • 出版社:Scientific Research Publishing
  • 摘要:In this paper, we present the fundamental framework of the evaluation problem under which the evaluation operator satisfying some axioms is linear. Based on the dynamic linear evaluation mechanism of contingent claims, studying this evaluation rule in the market driven by fractional Brownian motions has led to a dynamic capital asset pricing model. It is deduced here mainly with the fractional Girsanov theorem and the Clark-Haussmann-Ocone theorem.
  • 关键词:Fractional Brownian Motion; Clark-Haussmann-Ocone Theorem; Fractional Girsanov Theorem; Evaluation Operator; Capital Asset Pricing Model
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