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Reinsurance or CAT Bond? How to Optimally Combine Both

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  • Denis-Alexandre Trottier
  • Van Son Lai

Abstract

We study how traditional reinsurance and CAT bonds can be combined to build an optimal catastrophe insurance programme. We develop a contingent claims model to investigate the imperfections and imitations of the reinsurance market stemming from financial distress costs and default risk. We find that the pricing markup and credit risk will typically be larger for reinsurance contracts that cover the higher and less probable layers of losses. We show that the optimal hedging strategy is to cover small losses using reinsurance and hedge higher losses by issuing a CAT bond. Our results demonstrate that this strategy significantly lowers the insurer?s cost of protection, expands his underwriting capacity and yields higher shareholder values.

Suggested Citation

  • Denis-Alexandre Trottier & Van Son Lai, 2017. "Reinsurance or CAT Bond? How to Optimally Combine Both," Working Papers 2017-003, Department of Research, Ipag Business School.
    • Handle: RePEc:ipg:wpaper:2017-003
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    References listed on IDEAS

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    1. Neil Doherty & Kent Smetters, 2005. "Moral Hazard in Reinsurance Markets," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(3), pages 375-391, September.
    2. Wolfgang Karl Härdle & Brenda López Cabrera, 2010. "Calibrating CAT Bonds for Mexican Earthquakes," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(3), pages 625-650, September.
    3. Jang, Bong-Gyu & Kim, Kyeong Tae, 2015. "Optimal reinsurance and asset allocation under regime switching," Journal of Banking & Finance, Elsevier, vol. 56(C), pages 37-47.
    4. Zhu, Wenge, 2011. "Ambiguity aversion and an intertemporal equilibrium model of catastrophe-linked securities pricing," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 38-46, July.
    5. Darius Lakdawalla & George Zanjani, 2012. "Catastrophe Bonds, Reinsurance, and the Optimal Collateralization of Risk Transfer," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 79(2), pages 449-476, June.
    6. Marcello Galeotti & Marc Gürtler & Christine Winkelvos, 2013. "Accuracy of Premium Calculation Models for CAT Bonds—An Empirical Analysis," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(2), pages 401-421, June.
    7. Lee, Jin-Ping & Yu, Min-Teh, 2007. "Valuation of catastrophe reinsurance with catastrophe bonds," Insurance: Mathematics and Economics, Elsevier, vol. 41(2), pages 264-278, September.
    8. Martin Nell & Andreas Richter, 2004. "Improving Risk Allocation Through Indexed Cat Bonds," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 29(2), pages 183-201, April.
    9. Froot, Kenneth A., 2001. "The market for catastrophe risk: a clinical examination," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 529-571, May.
    10. Krvavych, Yuriy & Sherris, Michael, 2006. "Enhancing insurer value through reinsurance optimization," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 495-517, June.
    11. Perrakis, Stylianos & Boloorforoosh, Ali, 2013. "Valuing catastrophe derivatives under limited diversification: A stochastic dominance approach," Journal of Banking & Finance, Elsevier, vol. 37(8), pages 3157-3168.
    12. Carole Bernard & Weidong Tian, 2009. "Optimal Reinsurance Arrangements Under Tail Risk Measures," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 709-725, September.
    13. Hagendorff, Bjoern & Hagendorff, Jens & Keasey, Kevin & Gonzalez, Angelica, 2014. "The risk implications of insurance securitization: The case of catastrophe bonds," Journal of Corporate Finance, Elsevier, vol. 25(C), pages 387-402.
    14. Haslip, Gareth G. & Kaishev, Vladimir K., 2010. "Pricing of Reinsurance Contracts in the Presence of Catastrophe Bonds," ASTIN Bulletin, Cambridge University Press, vol. 40(1), pages 307-329, May.
    15. Gibson, Rajna & Habib, Michel A. & Ziegler, Alexandre, 2014. "Reinsurance or securitization: The case of natural catastrophe risk," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 79-100.
    16. J. David Cummins & Mary A. Weiss, 2009. "Convergence of Insurance and Financial Markets: Hybrid and Securitized Risk‐Transfer Solutions," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 493-545, September.
    17. Yow, Shaun & Sherris, Michael, 2008. "Enterprise Risk Management, Insurer Value Maximisation, and Market Frictions," ASTIN Bulletin, Cambridge University Press, vol. 38(1), pages 293-339, May.
    18. repec:bla:jfinan:v:53:y:1998:i:5:p:1443-1493 is not listed on IDEAS
    19. J. David Cummins & Philippe Trainar, 2009. "Securitization, Insurance, and Reinsurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 463-492, September.
    20. Têtu Alexandre & Lai Van Son & Soumaré Issouf & Gendron Michel, 2015. "Hedging Flood Losses Using Cat Bonds," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 9(2), pages 149-184, July.
    21. Froot, Kenneth A. & Stein, Jeremy C., 1998. "Risk management, capital budgeting, and capital structure policy for financial institutions: an integrated approach," Journal of Financial Economics, Elsevier, vol. 47(1), pages 55-82, January.
    22. Vaugirard, Victor E., 2003. "Pricing catastrophe bonds by an arbitrage approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 43(1), pages 119-132.
    23. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    24. Wolfgang Karl Härdle & Brenda López Cabrera, 2010. "Calibrating CAT Bonds for Mexican Earthquakes," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(3), pages 625-650, September.
    25. Zimmer, Anja & Schade, Christian & Gründl, Helmut, 2009. "Is default risk acceptable when purchasing insurance? Experimental evidence for different probability representations, reasons for default, and framings," Journal of Economic Psychology, Elsevier, vol. 30(1), pages 11-23, February.
    26. Lai, Van Son & Parcollet, Mathieu & Lamond, Bernard F., 2014. "The valuation of catastrophe bonds with exposure to currency exchange risk," International Review of Financial Analysis, Elsevier, vol. 33(C), pages 243-252.
    27. Zimmer, Anja & Gründl, Helmut & Schade, Christian, 2012. "Be as safe as possible: A behavioral approach to the optimal corporate risk strategy of insurers," ICIR Working Paper Series 06/11, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    28. Lo, Chien-Ling & Lee, Jin-Ping & Yu, Min-Teh, 2013. "Valuation of insurers’ contingent capital with counterparty risk and price endogeneity," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 5025-5035.
    29. Mayers, David & Smith, Clifford W, Jr, 1982. "On the Corporate Demand for Insurance," The Journal of Business, University of Chicago Press, vol. 55(2), pages 281-296, April.
    30. Nadine Gatzert & Ralf Kellner, 2014. "The×Effectiveness of Gap Insurance With Respect to Basis Risk in a Shareholder Value Maximization Setting," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 81(4), pages 831-860, December.
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    Cited by:

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    2. Faias, José Afonso & Guedes, José, 2020. "The diffusion of complex securities: The case of CAT bonds," Insurance: Mathematics and Economics, Elsevier, vol. 90(C), pages 46-57.
    3. Tobias Götze & Marc Gürtler, 2022. "Risk transfer beyond reinsurance: the added value of CAT bonds," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 47(1), pages 125-171, January.
    4. Wu, Yang-Che, 2020. "Equilibrium in natural catastrophe insurance market under disaster-resistant technologies, financial innovations and government interventions," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 116-128.
    5. Lo, Chien-Ling & Chang, Carolyn W. & Lee, Jin-Ping & Yu, Min-Teh, 2021. "Pricing catastrophe swaps with default risk and stochastic interest rates," Pacific-Basin Finance Journal, Elsevier, vol. 68(C).
    6. Reichel, Lukas & Schmeiser, Hato & Schreiber, Florian, 2022. "On the optimal management of counterparty risk in reinsurance contracts," Journal of Economic Behavior & Organization, Elsevier, vol. 201(C), pages 374-394.

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