Hedging longevity risk: does the structure of the financial instrument matter? (English) Zbl 1461.91252

Summary: Longevity-linked securities can be constructed either as cash flow hedging instruments or as value hedging instruments. This article studies the interaction between the structure of longevity-linked securities and shareholder value. Relying on a strand of literature that investigates corporate risk management decisions made in the interests of shareholders, we present a framework that compares cash flow hedges with value hedges. Both our theoretical model and numerical experiments show that value hedging dominates cash flow hedging in the context of management decisions being made to maximize shareholder value. This finding provides an explanation for the failure of some attempted issues of longevity risk transfer instruments and suggests efficient alternate structures.


91G05 Actuarial mathematics
Full Text: DOI


[1] Arrow, K. J., The role of securities in the optimal allocation of risk-bearing, Review of Economic Studies, 31, 91-6 (1963)
[2] Blake, D.; Burrows., W., Survivor bonds: Helping to hedge mortality risk, Journal of Risk and Insurance, 68, 339-48 (2001)
[3] Blake, D.; Cairns, A.; Coughlan, G.; Dowd, K.; MacMinn., R., The new life market, Journal of Risk and Insurance, 80, 501-58 (2013)
[4] Blake, D.; Cairns, A.; Dowd., K., Living with mortality: Longevity bonds and other mortality-linked securities, British Actuarial Journal, 12, 153-97 (2006)
[5] Breeden, D. T.; Litzenberger., R. H., Prices of state-contingent claims implicit in option prices, Journal of Business, 51, 621-51 (1978)
[6] Chen, H.; Cummins., J. D., Longevity bond premiums: The extreme value approach and risk cubic pricing, Insurance: Mathematics and Economics, 46, 150-61 (2010) · Zbl 1231.91427
[7] Coughlan, G. D.; Epstein, D.; Sinha, A.; Honig, P., q-Forwards: Derivatives for transferring longevity and mortality risks (2007)
[8] Debreu, G., Theory of value: An axiomatic analysis of economic equilibrium (1959), New Haven, CT: Yale University Press, New Haven, CT · Zbl 0193.20205
[9] Lin, Y.; Cox., S. H., Securitization of catastrophe mortality risks, Insurance: Mathematics and Economics, 42, 628-37 (2008) · Zbl 1152.91593
[10] MacMinn, R. D., Insurance and corporate risk management, Journal of Risk and Insurance, 54, 658-77 (1987)
[11] MacMinn, R. D.; Brockett., P., On the failure (success) of the markets for longevity risk transfer, Journal of Risk and Insurance, 84, 299-317 (2017)
[12] MacMinn, R. D.; Witt., R., A financial theory of the insurance firm under uncertainty and regulatory constraints, Geneva Papers on Risk and Insurance, 12, 3-20 (1987)
[13] Zelenko, I., Longevity risk and the stability of retirement systems: The Chilean longevity bond case, Journal of Alternative Investment, 17, 35-54 (2014)
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