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  • 标题:Application of the One-factor CIR Interest Rate Model to Catastrophe Bond Pricing under Uncertainty
  • 本地全文:下载
  • 作者:Piotr Nowak ; Maciej Romaniuk
  • 期刊名称:Journal of Automation, Mobile Robotics & Intelligent Systems (JAMRIS)
  • 印刷版ISSN:1897-8649
  • 电子版ISSN:2080-2145
  • 出版年度:2014
  • 卷号:8
  • 期号:3
  • 页码:19
  • DOI:10.14313/JAMRIS_3-2014/23
  • 出版社:Industrial Research Inst. for Automation and Measurements, Warsaw
  • 摘要:The number and amount of losses caused by natural catastrophes are important problems for insurance in- dustry. New financial instruments were introduce to transfer risks from insurance to financial market. In this paper we consider the problem of pricing such instru- ments, called the catastrophe bonds (CAT bonds). We derive valua.on formulas using stochas.c analysis and fuzzy sets theory. As model of short interest rate we ap- ply the one-factor Cox–Ingersoll–Ross (CIR) model. In this paper we treat the vola.lity of the interest rate as a fuzzy number to describe uncertainty of the market. We also apply the Monte Carlo approach to analyze the obtained cat bond fuzzy prices.
  • 关键词:asset pricing; catastrophe bonds; CIR model; ; stochas.c analysis; Monte Carlo simula.ons; fuzzy num- ; bers
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