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  • 标题:ESTIMATING FORWARD LOOKING DISTRIBUTION WITH THE ROSS RECOVERY THEOREM
  • 本地全文:下载
  • 作者:Takuya Kiriu ; Norio Hibiki
  • 期刊名称:日本オペレーションズ・リサーチ学会論文誌
  • 印刷版ISSN:0453-4514
  • 电子版ISSN:2188-8299
  • 出版年度:2019
  • 卷号:62
  • 期号:2
  • 页码:83-107
  • DOI:10.15807/jorsj.62.83
  • 出版社:Japan Science and Technology Information Aggregator, Electronic
  • 摘要:Ross (2015) introduced a remarkable theorem, named the “Recovery Theorem.” It enables us to estimate the real world distribution from the risk neutral distribution derived from option prices under a particular assumption about a representative investor's risk preferences. The real world distribution estimated with the Recovery Theorem is suitable for many financial problems such as market risk management and portfolio optimization due to its forward looking nature. However, it is not easy to derive the appropriate estimators because of an ill-posed problem in the estimation process. We propose a new method to derive the accurate solution by formulating the regularization term involving prior information. Previous studies propose methods to estimate the real world distribution, but they do not investigate the estimation accuracy. We show the effectiveness of the proposed method through the numerical analysis with hypothetical data.
  • 关键词:Finance;estimation;Recovery Theorem;regularization
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