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Hedging Brevity Risk with Mortality-based Securities

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  • MacMinn, Richard
  • Richter, Andreas
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    Abstract

    In 2003, Swiss Re introduced a mortality-based security designed to hedge excessive mortality changes for its life book of business. The concern was apparently brevity risk, i.e., the risk of premature death. The brevity risk due to a pandemic is similar to the property risk associated with catastrophic events such as earthquakes and hurricanes and the security used to hedge the risk is similar to a CAT bond. This work looks at the incentives associated with insurance-linked securities. It considers the trade-offs an insurer or reinsurer faces in selecting a hedging strategy. We compare index and indemnity-based hedging as alternative design choices and ask which is capable of creating the greater value for shareholders. Additionally, we model an insurer or reinsurer that is subject to insolvency risk, which creates an incentive problem known as the judgment proof problem. The corporate manager is assumed to act in the interests of shareholders and so the judgment proof problem yields a conflict of interest between shareholders and other stakeholders. Given the fact that hedging may improve the situation, the analysis addresses what type of hedging tool would be best to use. We show that an indemnity-based security tends to worsen the situation, as it introduces an additional incentive problem. Index-based hedging, on the other hand, under certain conditions turns out to be beneficial and therefore clearly dominates indemnity-based strategies. This result is further supported by showing that for the same strike prices the current shareholder value is greater with the index-based security than the indemnity-based security.

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    Bibliographic Info

    Paper provided by University of Munich, Munich School of Management in its series Discussion Papers in Business Administration with number 1219.

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    Date of creation: Oct 2006
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    Handle: RePEc:lmu:msmdpa:1219

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    Keywords: alternative risk transfer; insurance; default risk;

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    1. Smith, Clifford W. & Stulz, René M., 1985. "The Determinants of Firms' Hedging Policies," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 20(04), pages 391-405, December.
    2. Kenneth A. Froot & David S. Scharfstein & Jeremy C. Stein, 1992. "Risk Management: Coordinating Corporate Investment and Financing Policies," NBER Working Papers 4084, National Bureau of Economic Research, Inc.
    3. Leland, Hayne E, 1972. "Theory of the Firm Facing Uncertain Demand," American Economic Review, American Economic Association, vol. 62(3), pages 278-91, June.
    4. Jensen, Michael C. & Meckling, William H., 1976. "Theory of the firm: Managerial behavior, agency costs and ownership structure," Journal of Financial Economics, Elsevier, vol. 3(4), pages 305-360, October.
    5. Martin Nell & Andreas Richter, 2004. "Improving Risk Allocation Through Indexed Cat Bonds," The Geneva Papers on Risk and Insurance, The International Association for the Study of Insurance Economics, vol. 29(2), pages 183-201, 04.
    6. Richard MacMinn & Patrick Brockett & David Blake, 2006. "Longevity Risk and Capital Markets," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 551-557.
    7. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    8. Shavell, Steven, 1979. "On Moral Hazard and Insurance," The Quarterly Journal of Economics, MIT Press, vol. 93(4), pages 541-62, November.
    9. Kahan, Marcel, 1989. "Causation and Incentives to Take Care under the Negligence Rule," The Journal of Legal Studies, University of Chicago Press, vol. 18(2), pages 427-47, June.
    10. Kenneth A. Froot, 1997. "The Limited Financing of Catastrophe Risk: An Overview," NBER Working Papers 6025, National Bureau of Economic Research, Inc.
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