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Securitizing and tranching longevity exposures

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  • Biffis, Enrico
  • Blake, David

Abstract

We consider the problem of optimally designing longevity risk transfers under asymmetric information. We focus on holders of longevity exposures that have superior knowledge of the underlying demographic risks, but are willing to take them off their balance sheets because of capital requirements. In equilibrium, they transfer longevity risk to uninformed agents at a cost, where the cost is represented by retention of part of the exposure and/or by a risk premium. We use a signalling model to quantify the effects of asymmetric information and emphasize how they compound with parameter uncertainty. We show how the cost of private information can be minimized by suitably tranching securitized cashflows, or, equivalently, by securitizing the exposure in exchange for an option on mortality rates. We also investigate the benefits of pooling several longevity exposures and the impact on tranching levels.

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Bibliographic Info

Article provided by Elsevier in its journal Insurance: Mathematics and Economics.

Volume (Year): 46 (2010)
Issue (Month): 1 (February)
Pages: 186-197

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Handle: RePEc:eee:insuma:v:46:y:2010:i:1:p:186-197

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Web page: http://www.elsevier.com/locate/inca/505554

Related research

Keywords: Longevity risk Asymmetric information Security design Pooling Tranching;

References

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  1. Alex Cowley & J. David Cummins, 2005. "Securitization of Life Insurance Assets and Liabilities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(2), pages 193-226.
  2. Scarsini, Marco & Dana, Rose-Anne, 2005. "Optimal risk sharing with background risk," Economics Papers from University Paris Dauphine 123456789/698, Paris Dauphine University.
  3. Peter M. DeMarzo, 2005. "The Pooling and Tranching of Securities: A Model of Informed Intermediation," Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 1-35.
  4. Innes, Robert D., 1990. "Limited liability and incentive contracting with ex-ante action choices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 45-67, October.
  5. Gale, Douglas, 1992. "A Walrasian Theory of Markets with Adverse Selection," Review of Economic Studies, Wiley Blackwell, vol. 59(2), pages 229-55, April.
  6. Peter DeMarzo & Darrell Duffie, 1999. "A Liquidity-Based Model of Security Design," Econometrica, Econometric Society, vol. 67(1), pages 65-100, January.
  7. Mailath, George J, 1987. "Incentive Compatibility in Signaling Games with a Continuum of Types," Econometrica, Econometric Society, vol. 55(6), pages 1349-65, November.
  8. Christian Gourieroux & Alain Monfort, 2007. "Quadratic Stochastic Intensity and Prospective Mortality Tables," Working Papers 2007-30, Centre de Recherche en Economie et Statistique.
  9. Blake David & Cairns Andrew & Dowd Kevin, 2008. "The Birth of the Life Market," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 3(1), pages 1-32, September.
  10. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
  11. Duffie Darrell & Rahi Rohit, 1995. "Financial Market Innovation and Security Design: An Introduction," Journal of Economic Theory, Elsevier, vol. 65(1), pages 1-42, February.
  12. David Blake & Andrew Cairns & Kevin Dowd & Richard MacMinn, 2006. "Longevity Bonds: Financial Engineering, Valuation, and Hedging," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 647-672.
  13. Coughlan Guy D. & Epstein David & Khalaf-Allah Marwa & Watts Chris S., 2008. "Hedging Pension Longevity Risk: Practical Capital Markets Solutions," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 3(1), pages 1-25, September.
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Citations

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Cited by:
  1. Wong, Tat Wing & Chiu, Mei Choi & Wong, Hoi Ying, 2014. "Time-consistent mean–variance hedging of longevity risk: Effect of cointegration," Insurance: Mathematics and Economics, Elsevier, vol. 56(C), pages 56-67.
  2. Anja De Waegenaere & Bertrand Melenberg & Ralph Stevens, 2010. "Longevity Risk," De Economist, Springer, vol. 158(2), pages 151-192, June.
  3. M. Martin Boyer & Théodora Dupont-Courtade, 2013. "The Market for Reinsurance," CIRANO Working Papers 2013s-06, CIRANO.
  4. David Blake & Christophe Courbage & Richard MacMinn & Michael Sherris, 2011. "Longevity Risk and Capital Markets: The 2010–2011 Update," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan, vol. 36(4), pages 489-500, October.
  5. Elisa Luciano & Luca Regis, 2013. "Efficient versus inefficient hedging strategies in the presence of financial and longevity (value at) risk," Carlo Alberto Notebooks 308, Collegio Carlo Alberto.
  6. Blake, David & Brockett, Patrick & Cox, Samuel & MacMinn, Richard, 2011. "Longevity risk and capital markets: The 2009-2010 update," MPRA Paper 28868, University Library of Munich, Germany.
  7. Stevens, R.S.P. & De Waegenaere, A.M.B. & Melenberg, B., 2011. "Longevity Risk and Natural Hedge Potential in Portfolios Of Life Insurance Products: The Effect of Investment Risk," Discussion Paper 2011-036, Tilburg University, Center for Economic Research.
  8. Blake, David & Biffs, Enrico, 2012. "Keeping Some Skin in the Game: How to Start a Capital Market in Longevity Risk Transfers," MPRA Paper 44680, University Library of Munich, Germany.
  9. Biffis, Enrico & Blake, David & Pitotti, Lorenzo & Sun, Ariel, 2011. "The cost of counterparty risk and collateralization in longevity swaps," MPRA Paper 35740, University Library of Munich, Germany.
  10. Emilio Bisetti & Carlo A. Favero & Giacomo Nocera & Claudio Tebaldi, 2013. "A Multivariate Model of Strategic Asset Allocation with Longevity Risk," Working Papers 503, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

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