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Seasonality in catastrophe bonds and market‐implied catastrophe arrival frequencies

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  • Markus Herrmann
  • Martin Hibbeln

Abstract

We develop a conceptual framework to model the seasonality in the probability of catastrophe bonds being triggered. This seasonality causes strong seasonal fluctuations in spreads. For example, the spread on a hurricane bond is highest at the start of the hurricane season and declines as time goes by without a hurricane. The spread is lowest at the end of the hurricane season assuming the bond was not triggered, and then gradually increases as the next hurricane season approaches. The model also implies that the magnitude of the seasonality effect increases with the expected loss and the approaching maturity of the bond. The model is supported by an empirical analysis that indicates that up to 47% of market fluctuations in the yield spreads on single‐peril hurricane bonds can be explained by seasonality. In addition, we provide a method to obtain market‐implied distributions of arrival frequencies from secondary market spreads.

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  • Markus Herrmann & Martin Hibbeln, 2021. "Seasonality in catastrophe bonds and market‐implied catastrophe arrival frequencies," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 88(3), pages 785-818, September.
  • Handle: RePEc:bla:jrinsu:v:88:y:2021:i:3:p:785-818
    DOI: 10.1111/jori.12335
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    1. Eugene F. Fama & Kenneth R. French, 2015. "Commodity Futures Prices: Some Evidence on Forecast Power, Premiums, and the Theory of Storage," World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 4, pages 79-102, World Scientific Publishing Co. Pte. Ltd..
    2. Silke Finken & Christian Laux, 2009. "Catastrophe Bonds and Reinsurance: The Competitive Effect of Information‐Insensitive Triggers," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 579-605, September.
    3. Sean D. Campbell & Francis X. Diebold, 2005. "Weather Forecasting for Weather Derivatives," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 6-16, March.
    4. Braun, Alexander & Ben Ammar, Semir & Eling, Martin, 2019. "Asset pricing and extreme event risk: Common factors in ILS fund returns," Journal of Banking & Finance, Elsevier, vol. 102(C), pages 59-78.
    5. William W. Gould & Jeffrey Pitblado & Brian Poi, 2010. "Maximum Likelihood Estimation with Stata," Stata Press books, StataCorp LP, edition 4, number ml4, March.
    6. Semir Ben Ammar, 2020. "Catastrophe Risk and the Implied Volatility Smile," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 87(2), pages 381-405, June.
    7. Gary B. Gorton & Fumio Hayashi & K. Geert Rouwenhorst, 2013. "The Fundamentals of Commodity Futures Returns," Review of Finance, European Finance Association, vol. 17(1), pages 35-105.
    8. Marc Gürtler & Martin Hibbeln & Christine Winkelvos, 2016. "The Impact of the Financial Crisis and Natural Catastrophes on CAT Bonds," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(3), pages 579-612, September.
    9. Papachristou, Dimitris, 2011. "Statistiscal Analysis of the Spreads of Catastrophe Bonds at the Time of Issue," ASTIN Bulletin, Cambridge University Press, vol. 41(1), pages 251-277, May.
    10. Schneeweis, Thomas & Woolridge, J. Randall, 1979. "Capital Market Seasonality: The Case of Bond Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(5), pages 939-958, December.
    11. Rozeff, Michael S. & Kinney, William Jr., 1976. "Capital market seasonality: The case of stock returns," Journal of Financial Economics, Elsevier, vol. 3(4), pages 379-402, October.
    12. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    13. Mustafa Gultekin & Bulent Gultekin, "undated". "Stock Market Seasonality: Internal Evidence," Rodney L. White Center for Financial Research Working Papers 17-83, Wharton School Rodney L. White Center for Financial Research.
    14. Lane, Morton N., 2000. "Pricing Risk Transfer Transactions1," ASTIN Bulletin, Cambridge University Press, vol. 30(2), pages 259-293, November.
    15. Sun, Qian & Tong, Wilson H.S., 2010. "Risk and the January effect," Journal of Banking & Finance, Elsevier, vol. 34(5), pages 965-974, May.
    16. Vidal-García, Javier & Vidal, Marta, 2014. "Seasonality and idiosyncratic risk in mutual fund performance," European Journal of Operational Research, Elsevier, vol. 233(3), pages 613-624.
    17. Roll, Richard, 1984. "Orange Juice and Weather," American Economic Review, American Economic Association, vol. 74(5), pages 861-880, December.
    18. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    19. Nadine Gatzert & Hato Schmeiser, 2011. "Industry loss warranties: contract features, pricing, and central demand factors," Journal of Risk Finance, Emerald Group Publishing, vol. 13(1), pages 13-31, December.
    20. Alexander Braun, 2016. "Pricing in the Primary Market for Cat Bonds: New Empirical Evidence," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(4), pages 811-847, December.
    21. Keim, Donald B., 1983. "Size-related anomalies and stock return seasonality : Further empirical evidence," Journal of Financial Economics, Elsevier, vol. 12(1), pages 13-32, June.
    22. Lane, Morton & Mahul, Olivier, 2008. "Catastrophe risk pricing : an empirical analysis," Policy Research Working Paper Series 4765, The World Bank.
    23. Jordan, Susan D. & Jordan, Bradford D., 1991. "Seasonality in Daily Bond Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 26(2), pages 269-285, June.
    24. De Bondt, Werner F M & Thaler, Richard H, 1987. "Further Evidence on Investor Overreaction and Stock Market Seasonalit y," Journal of Finance, American Finance Association, vol. 42(3), pages 557-581, July.
    25. Cherry Y. Zhang & Ben Jacobsen, 2013. "Are Monthly Seasonals Real? A Three Century Perspective," Review of Finance, European Finance Association, vol. 17(5), pages 1743-1785.
    26. Peter Alaton & Boualem Djehiche & David Stillberger, 2002. "On modelling and pricing weather derivatives," Applied Mathematical Finance, Taylor & Francis Journals, vol. 9(1), pages 1-20.
    27. Gultekin, Mustafa N. & Gultekin, N. Bulent, 1983. "Stock market seasonality : International Evidence," Journal of Financial Economics, Elsevier, vol. 12(4), pages 469-481, December.
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    Cited by:

    1. Dixon Domfeh & Arpita Chatterjee & Matthew Dixon, 2022. "A Unified Bayesian Framework for Pricing Catastrophe Bond Derivatives," Papers 2205.04520, arXiv.org.

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