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Life is Cheap: Using Mortality Bonds to Hedge Aggregate Mortality Risk

Leora Friedberg and Anthony Webb (tonywebb10014@gmail.com)

No 11984, NBER Working Papers from National Bureau of Economic Research, Inc

Abstract: Using the widely-cited Lee-Carter mortality model, we quantify aggregate mortality risk as the risk that the average annuitant lives longer than is predicted by the model, and we conclude that annuity business exposes insurance companies to substantial mortality risk. We calculate that a markup of 3.7% on an annuity premium (or else shareholders' capital equal to 3.7% of the expected present value of annuity payments) would reduce the probability of insolvency resulting from uncertain aggregate mortality trends to 5% and a markup of 5.4% would reduce the probability of insolvency to 1%. Using the same model, we find that a projection scale commonly referred to by the insurance industry underestimates aggregate mortality improvements. Annuities that are priced on that projection scale without any conservative margin appear to be substantially underpriced. Insurance companies could deal with aggregate mortality risk by transferring it to financial markets through mortality-contingent bonds, one of which has recently been offered. We calculate the returns that investors would have obtained on such bonds had they been available over a long period. Using both the Capital and the Consumption Capital Asset Pricing Models, we determine the risk premium that investors would have required on such bonds. At plausible coefficients of risk aversion, annuity providers should be able to hedge aggregate mortality risk via such bonds at a very low cost.

JEL-codes: G12 G22 G23 J11 J14 (search for similar items in EconPapers)
Date: 2006-01
New Economics Papers: this item is included in nep-fin, nep-fmk, nep-hea and nep-ias
Note: AG CF PE
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

Published as Friedberg Leora & Webb Anthony, 2007. "Life Is Cheap: Using Mortality Bonds to Hedge Aggregate Mortality Risk," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 7(1), pages 1-33, July.

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Journal Article: Life Is Cheap: Using Mortality Bonds to Hedge Aggregate Mortality Risk (2007) Downloads
Working Paper: Life is Cheap: Using Mortality Bonds to Hedge Aggregate Mortality Risk (2005) Downloads
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