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Risk models with dependence between claim occurrences and severities for Atlantic hurricanes

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  • Boudreault, Mathieu
  • Cossette, Hélène
  • Marceau, Étienne

Abstract

In the line of Cossette et al. (2003), we adapt and refine known Markovian-type risk models of Asmussen (1989) and Lu and Li (2005) to a hurricane risk context. These models are supported by the findings that El Niño/Southern Oscillation (as well as other natural phenomena) influence both the number of hurricanes and their strength. Hurricane risk is thus broken into three components: frequency, intensity and damage where the first two depend on the state of the Markov chain and intensity influences the amount of damage to an individual building. The proposed models are estimated with Florida hurricane data and several risk measures are computed over a fictitious portfolio.

Suggested Citation

  • Boudreault, Mathieu & Cossette, Hélène & Marceau, Étienne, 2014. "Risk models with dependence between claim occurrences and severities for Atlantic hurricanes," Insurance: Mathematics and Economics, Elsevier, vol. 54(C), pages 123-132.
    • Handle: RePEc:eee:insuma:v:54:y:2014:i:c:p:123-132
    DOI: 10.1016/j.insmatheco.2013.11.002
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    References listed on IDEAS

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    1. Kerry Emanuel, 2005. "Increasing destructiveness of tropical cyclones over the past 30 years," Nature, Nature, vol. 436(7051), pages 686-688, August.
    2. Mary Hardy, 2001. "A Regime-Switching Model of Long-Term Stock Returns," North American Actuarial Journal, Taylor & Francis Journals, vol. 5(2), pages 41-53.
    3. Ng, Andrew C.Y. & Yang, Hailiang, 2006. "On the joint distribution of surplus before and after ruin under a Markovian regime switching model," Stochastic Processes and their Applications, Elsevier, vol. 116(2), pages 244-266, February.
    4. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    5. Dickson,David C. M., 2005. "Insurance Risk and Ruin," Cambridge Books, Cambridge University Press, number 9780521846400.
    6. Roger A. Pielke, 2005. "Are there trends in hurricane destruction?," Nature, Nature, vol. 438(7071), pages 11-11, December.
    7. Lu, Yi & Li, Shuanming, 2005. "On the probability of ruin in a Markov-modulated risk model," Insurance: Mathematics and Economics, Elsevier, vol. 37(3), pages 522-532, December.
    8. Cossette, Hélène & Marceau, Etienne & Marri, Fouad, 2008. "On the compound Poisson risk model with dependence based on a generalized Farlie-Gumbel-Morgenstern copula," Insurance: Mathematics and Economics, Elsevier, vol. 43(3), pages 444-455, December.
    9. Cheung, Eric C.K. & Landriault, David & Willmot, Gordon E. & Woo, Jae-Kyung, 2010. "Structural properties of Gerber-Shiu functions in dependent Sparre Andersen models," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 117-126, February.
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    Cited by:

    1. Martin Eling & Ruo Jia, 2017. "Recent Research Developments Affecting Nonlife Insurance—The CAS Risk Premium Project 2014 Update," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 20(1), pages 63-77, March.

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