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Securitization of catastrophe mortality risks. (English) Zbl 1152.91593

Summary: Securitization with payments linked to explicit mortality events provides a new investment opportunity to investors and financial institutions. Moreover, mortality-linked securities provide an alternative risk management tool for insurers. As a step toward understanding these securities, we develop an asset pricing model for mortality-based securities in an incomplete market framework with jump processes. Our model nicely explains opposite market outcomes of two existing pure mortality securities.

MSC:

91B30 Risk theory, insurance (MSC2010)
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[1] Bantwal, V.J., Kunreuther, H.C., 1999. A cat bond premium puzzle. Working paper. Financial Institutions Center of the Wharton School
[2] Cairns, A.J.G., Blake, D., Dawson, P., Dowd, K., 2005. Pricing the risk on longevity bonds. Working paper. Heriot-Watt University, Edinburgh, UK
[3] Cairns, A.J.G., Blake, D., Dowd, K., 2004. Pricing frameworks for securitization of mortality risk. Working paper. Heriot-Watt University, Edinburgh, UK · Zbl 1162.91403
[4] Canter, M.; Cole, J.; Sandor, R., Insurance derivatives: A new asset class for the capital markets and a new hedging tool for the insurance industry, Journal of applied corporate finance, 10, 3, 69-81, (1997)
[5] Cox, S.H.; Pedersen, H.W.; Fairchild, J.R., Economic aspects of securitization of risk, ASTIN bulletin, 30, 1, 157-193, (2000)
[6] Cowley, A.; Cummins, J.D., Securitization of life insurance assets, Journal of risk and insurance, 72, 2, 193-226, (2005)
[7] Cummins, J.D., Doherty, N.A., 1997. Can insurers pay for the ‘big one?’ measuring the capacity of an insurance market to response to catastrophic losses. Working paper. The Wharton School, University of Pennsylvania
[8] Dahl, M.H., 2003. Stochastic mortality in life insurance: Market reserves and mortality-linked insurance contracts. Working paper. University of Copenhagen, Denmark · Zbl 1075.62095
[9] Doherty, N.A., Financial innovation in the management of catastrophe risk, Journal of applied corporate finance, 10, 3, 84-95, (1997)
[10] Froot, K.A., The market for catastrophe risk: A clinical examination, Journal of financial economics, 60, 2-3, 529-571, (2001)
[11] Froot, K.A., Risk management, capital budgeting, and capital structure policy for insurers and reinsurers, Journal of risk and insurance, 74, 2, 273-299, (2007)
[12] Froot, K., O’Connel, P., 1997. On the pricing of intermediated risks: Theory and application to catastrophe reinsurance. Working paper. Harvard Business School, Boston, MA
[13] Froot, K.A.; Stein, J.C., Risk management, capital budgeting, and capital structure policy for financial institutions: an integrated approach, Journal of financial economics, 47, 1, 55-82, (1998)
[14] Guy Carpenter, 2005. Tsunami: Indian Ocean event and investigation into potential global risks. See the report release in March 2005
[15] Jaffee, D.M.; Russell, T., Catastrophe insurance, capital markets, and uninsurable risks, Journal of risk and insurance, 64, 2, 205-230, (1997)
[16] Kiczek, J.A., Single premium immediate annuity payouts, Best’s review (L/H), 97, 4, 57-60, (1996)
[17] Lane, M.N., Beckwith, R.G., 2005, April. The 2005 review of the insurance securitization market. Technical Report. Lane Financial LLC, Wilmette, IL
[18] Lee, R.D., The lee – carter method of forecasting mortality, with various extensions and applications, North American actuarial journal, 4, 1, 80-93, (2000) · Zbl 1083.62535
[19] Lee, R.D.; Carter, L.R., Modelling and forecasting US mortality, Journal of the American statistical association, 87, 419, 659-671, (1992)
[20] Lin, Y.; Cox, S.H., Securitization of mortality risks in life annuities, Journal of risk and insurance, 72, 2, 227-252, (2005)
[21] Litzenberger, R.H.; Beaglehole, D.R.; Reynolds, C.E., Assessing catastrophe reinsurance linked securities as a new asset class, Journal of portfolio management, 22, 76-86, (1996), (special issue)
[22] Milevsky, M.A.; Promislow, S.D., Mortality derivatives and the option to annuitize, Insurance: mathematics and economics, 29, 3, 299-318, (2001) · Zbl 1074.62530
[23] Minton, B., Sanders, A.B., Strahan, P.E., 2004. Securitization by banks and finance companies: Efficient financial contracting or regulatory arbitrage? Working Paper no. 2004-25, The Ohio State University
[24] MorganStanley, 2003. Swiss Re innovative mortality-based security. See the news release for December 8, 2003
[25] Olivieri, A., Pitacco, E., 2002. Inference about mortality improvements in life annuity portfolios. In: XXVIIth International Congress of Actuaries
[26] Rejda, G.E., Principles of risk management and insurance, (2005), Addison-Wesley Publishers New York
[27] Renshaw, A.; Haberman, S.; Hatzoupoulos, P., The modeling of recent mortality trends in united kingdom male assured lives, British actuarial journal, 2, 2, 449-477, (1996)
[28] Sithole, T.Z.; Haberman, S.; Verrall, R.J., An investigation into parametric models for mortality projections, with applications to immediate annuitants and life office pensioners data, Insurance: mathematics and economics, 27, 3, 285-312, (2000) · Zbl 1055.62555
[29] Swiss Re, 2003. Swiss Re obtains USD 400 million of extreme mortality risk coverage—its first life securitization. See the news release for December 2003
[30] The Actuary, 2004. Swiss Re obtains \(400 million of mortality risk coverage. The Actuary. January/February, P. 1\)
[31] Wang, S.S., Premium calculation by transforming the layer premium density, ASTIN bulletin, 26, 1, 71-92, (1996)
[32] Wang, S.S., A class of distortion operations for pricing financial and insurance risks, Journal of risk and insurance, 67, 1, 15-36, (2000)
[33] Wang, S.S., A universal framework for pricing financial and insurance risks, (), 679-703
[34] Wang, S.S., A universal framework for pricing financial and insurance risks, ASTIN bulletin, 32, 2, 213-234, (2002) · Zbl 1090.91555
[35] Wang, S.S., Cat bond pricing using probability transforms (insurance and the state of the art in cat bond pricing), The Geneva papers on risk and insurance — issues and practice, 19-29, (2004), (special issue)
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