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基于PORT的巨灾保险衍生品定价的新方法 被引量:1

A New Approach to Pricing the Catastrophic Insurance Derivatives Based on PORT
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摘要 将极值理论最新成果——超出随机门限值(PORT)方法应用到巨灾保险衍生品定价领域,建立了主要针对大损失小概率索赔的统计定价体系框架,得到了一系列巨灾保险衍生品定价的显式解.该方法由于对标的损失过程的尾部数据进行了更加精确的估计,因此理论上它优于传统的POT方法. The latest result of EVT denominated PORT is introduced to the field of catastrophic insurance derivatives pricing. And a statistical pricing systematic framework particularly emphasis on the claims with low frequency and large losses is established. A series of explicit form solution to the catastrophic insurance derivatives pricing is obtained. Our approach will be prior to the traditional POT because the tail data of the underlying loss process is estimated more accurately.
出处 《湖南师范大学自然科学学报》 CAS 北大核心 2008年第1期44-48,共5页 Journal of Natural Science of Hunan Normal University
基金 国家自然科学基金资助项目(10371133) 湖南省教育厅科学与技术研究基金资助项目(05c562) 中南大学博士创新基金资助项目(3340-75206) 湖南省软科学资助项目(2006ZK3028)
关键词 巨灾保险衍生品 极值理论 PORT方法 无套利定价 catastrophic insurance derivatives EVT PORT approach no-arbitrage pricing
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参考文献15

  • 1ALBRECHER H, HARTINGER J, TICHY R F. Multivariate approximation methods for the pricing of catastrophe-linked bonds [J]. Internat Ser Numer Math,2003,3:21-39.
  • 2CUMMINS J D, GEMAN H. Pricing catastrophe insurance futures and call spreads:An arbitrage approach[J]. Journal of Fixed Income, 1995,4:46-57.
  • 3AASE K K. An Equilibrium model of catastrophe insurance futures and spreads [ J ]. Geneva Papers on Risk and Insurance Theory , 1999,24:69-96.
  • 4ANGELOS DASSIOS,JI-WOOK JANG. Pricing of catastrophe reinsurance and derivatives using the Cox process with shot noise intensity[ J]. Finance Stochast,2003,7:73-95.
  • 5JI-WOOK JANG, YURIY KRVAVYCH. Arbitrage-free premium calculation for extreme losses using the shot noise process and the Esscher transform [ J ]. Insurance: Mathematics and Economics, 2004,35:97-111.
  • 6PAULO ARAUJO SANTOS, M ISABEL FRAGA ALVES, M IVETTE GOMES. Peaks over random threshold methodology for tail index and high quantile estimation [ J ]. REVSTAT-Statistical Journal, 2006,4:227-247.
  • 7FROOT K, P O'CONNELL. On the pricing of intermediated risks :Thoery and application to catastrophe reinsurance [ J ]. Journal of Banking & Finance, 2008,32( 1 ) :69-85.
  • 8MANDELBROT B B. The variation of certain speculative price[ J]. Journal of Business, 1963,36:394-419.
  • 9PAUL EMBRECHTS, CLAUDIA KLUPPELBERG, THOMAS MIKOSCH. Modeling extremal events for insurance and finance [ M]. Berlin: Springer, 1997.
  • 10MCNEIL A J. Estimating the tails of loss severity distribution using extreme value theory[ J]. ASTIN Bulletin, 1997,17:117-137.

同被引文献14

  • 1Cox, Samuel,Schwebach et al. Insurance futures and hedging insurance price risk[J]. Journal of Risk and Insurance,1992. Vol. 59, No. 4.
  • 2Geman, Helyette. Cat Calls[J]. Risk. 1994, Vol. 9: 69-77.
  • 3Cummins, David, Geman, et al. Pricing Catastrophe Insurance and call spreads: An arbitrage approach [J]. Journal of Fixed Income, 1995, March.
  • 4Aase, Knut. An Equilibrium Model of Catastrophe Insurance Futures and Spreads[R]. The Geneva Pa- pers on Risk and Insurance Theory, 1999,Vol. 24: 69-96.
  • 5Christensen, Claus Vorm Schmidli, et al. Pricing ca- tastrophe insurance products based on actually repor- ted claims [J]. Insurance, Mathematics, and Eco- nomics, 2000,Vol. 27:189- 200.
  • 6Aase, Knut. A markov model for the pricing of ca- tastrophe insurance futures and spreads [J]. Journal of Risk and Insurance, 2001,Vol. 68.
  • 7Jaimungal, Sebastian, Wang Tao. Catastrophe op- tions with stochastic interest rates and compound poisson losses. University of Toronto, Website: ht- tp://fisher. utstat. toronto. edu/sjaimung/papers/ JaimungalWang0106.
  • 8Fujita, Takahiko, Ishimura, et al. An arbitrage ap- proach to the pricing of catastrophe options involving the cox process[J]. Hitotsubashi Journal of Econom- ics, 2008,49 : 67 - 74.
  • 9Biagini, Francesca, Bregman, et al. Pricing of Catas- trophe Insurance Options Written on a Loss Index with Reestimation[M]. Preprint University of Mu- nich and CMA, University of Oslo.
  • 10Chang, Carolyn W,Jack S K, et al. Pricing Catas- trophe Options with Stochastic Claim Arrival Inten- sity in Claim Time[J]. Journal of Banking & Fi- nance, 2010,34:24-32.

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