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Survivor Derivatives: A Consistent Pricing Framework

Author

Listed:
  • Paul Dawson
  • Kevin Dowd
  • Andrew J. G. Cairns
  • David Blake

Abstract

Survivorship risk is a significant factor in the provision of retirement income. Survivor derivatives are in their early stages and offer potentially significant welfare benefits to society. This article applies the approach developed by Dowd et al. (2006), Olivier and Jeffery (2004), Smith (2005), and Cairns (2007) to derive a consistent framework for pricing a wide range of linear survivor derivatives, such as forwards, basis swaps, forward swaps, and futures. It then shows how a recent option pricing model set out by Dawson et al. (2009) can be used to price nonlinear survivor derivatives, such as survivor swaptions, caps, floors, and combined option products. It concludes by considering applications of these products to a pension fund that wishes to hedge its survivorship risks. Copyright (c) The Journal of Risk and Insurance, 2010.

Suggested Citation

  • Paul Dawson & Kevin Dowd & Andrew J. G. Cairns & David Blake, 2010. "Survivor Derivatives: A Consistent Pricing Framework," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(3), pages 579-596.
  • Handle: RePEc:bla:jrinsu:v:77:y:2010:i:3:p:579-596
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    References listed on IDEAS

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    1. Paul Dawson & Kevin Dowd & Andrew J. G. Cairns & David Blake, 2009. "Options on normal underlyings with an application to the pricing of survivor swaptions," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 29(8), pages 757-774, August.
    2. 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.
    3. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    4. 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.
    5. Yijia Lin & Samuel H. Cox, 2005. "Securitization of Mortality Risks in Life Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(2), pages 227-252.
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    Citations

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    Cited by:

    1. Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2012. "Valuation and hedging of the ruin-contingent life annuity (RCLA)," Papers 1205.3686, arXiv.org.
    2. Narat Charupat & Mark J. Kamstra & Moshe A. Milevsky, 2016. "The Sluggish and Asymmetric Reaction of Life Annuity Prices to Changes in Interest Rates," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(3), pages 519-555, September.
    3. Wang, Chou-Wen & Yang, Sharon S. & Huang, Hong-Chih, 2015. "Modeling multi-country mortality dependence and its application in pricing survivor index swaps—A dynamic copula approach," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 30-39.
    4. repec:bla:jrinsu:v:84:y:2017:i:s1:p:477-493 is not listed on IDEAS
    5. 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;The Geneva Association, vol. 36(4), pages 489-500, October.
    6. 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.
    7. Boyer, M. Martin & Stentoft, Lars, 2013. "If we can simulate it, we can insure it: An application to longevity risk management," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 35-45.
    8. 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.
    9. Yang, Sharon S. & Wang, Chou-Wen, 2013. "Pricing and securitization of multi-country longevity risk with mortality dependence," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 157-169.
    10. Chou-Wen Wang & Hong-Chih Huang & I-Chien Liu, 2013. "Mortality Modeling With Non-Gaussian Innovations and Applications to the Valuation of Longevity Swaps," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 775-798, September.
    11. Chou-Wen Wang & Sharon S. Yang, 2013. "Pricing Survivor Derivatives With Cohort Mortality Dependence Under the Lee–Carter Framework," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(4), pages 1027-1056, December.
    12. David Blake & Andrew Cairns & Guy Coughlan & Kevin Dowd & Richard MacMinn, 2013. "The New Life Market," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 501-558, September.
    13. repec:bla:jrinsu:v:84:y:2017:i:3:p:987-1023 is not listed on IDEAS

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