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文章基本信息

  • 标题:The computational hardness of pricing compound options
  • 本地全文:下载
  • 作者:Mark Braverman ; Kanika Pasricha
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2014
  • 卷号:2014
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:

    It is generally assumed that you can make a financial asset out of any underlying event or combination thereof, and then sell a security. We show that while this is theoretically true from the financial engineering perspective, compound securities might be intractable to price. Even given no information asymmetries, or adversarial sellers, it might be computationally intractable to put a value on these, and the associated computational complexity might afford an advantage to the party with more compute power. We prove that the problem of pricing an option em on a single security with unbounded compounding is PSPACE hard, even when the behavior of the underlying security is computationally tractable. We also show that in the oracle model, even when compounding is limited to at most k layers, the complexity of pricing securities grows exponentially in k.

  • 关键词:computational finance; financial derivatives; pricing
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