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Asset and Liability Modeling for Participating Policies with Guarantees

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  • Andrea Consiglio
  • Flavio Cocco
  • Stavros A. Zenios

Abstract

We study the problem of asset and liability management of participating insurance policies with guarantees. We develop a scenario optimization model for integrative asset and liability management, analyze the tradeoffs in structuring such policies, and study alternative choices in funding them. The nonlinearly constrained optimization model can be linearized through closed form solutions of the dynamic equations. Thus large-scale problems are solved with standard methods. We report on an empirical analysis of policies offered by Italian insurers. The optimized model results are in general agreement with current industry practices. However, some inefficiencies are identified and potential improvements are highlighted.

Suggested Citation

  • Andrea Consiglio & Flavio Cocco & Stavros A. Zenios, 2001. "Asset and Liability Modeling for Participating Policies with Guarantees," Center for Financial Institutions Working Papers 00-41, Wharton School Center for Financial Institutions, University of Pennsylvania.
    • Handle: RePEc:wop:pennin:00-41
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    References listed on IDEAS

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    1. David Babbel & Craig Merrill, 1998. "Economic Valuation Models for Insurers," North American Actuarial Journal, Taylor & Francis Journals, vol. 2(3), pages 1-15.
    2. Miltersen, Kristian R. & Persson, Svein-Arne, 1999. "Pricing rate of return guarantees in a Heath-Jarrow-Morton framework," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 307-325, December.
    3. Sergio Siglienti, 2000. "Consequences of the Reduction of Interest Rates on Insurance," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 25(1), pages 63-77, January.
    4. Brennan, Michael J & Schwartz, Eduardo S, 1979. "Alternative Investment Strategies for the Issuers of Equity Linked Life Insurance Policies with an Asset Value Guarantee," The Journal of Business, University of Chicago Press, vol. 52(1), pages 63-93, January.
    5. Bacinello, Anna Rita, 2001. "Fair Pricing of Life Insurance Participating Policies with a Minimum Interest Rate Guaranteed," ASTIN Bulletin, Cambridge University Press, vol. 31(2), pages 275-297, November.
    6. Grosen, Anders & Lochte Jorgensen, Peter, 2000. "Fair valuation of life insurance liabilities: The impact of interest rate guarantees, surrender options, and bonus policies," Insurance: Mathematics and Economics, Elsevier, vol. 26(1), pages 37-57, February.
    7. Brennan, Michael J. & Schwartz, Eduardo S., 1976. "The pricing of equity-linked life insurance policies with an asset value guarantee," Journal of Financial Economics, Elsevier, vol. 3(3), pages 195-213, June.
    8. David R. Cariño & William T. Ziemba, 1998. "Formulation of the Russell-Yasuda Kasai Financial Planning Model," Operations Research, INFORMS, vol. 46(4), pages 433-449, August.
    9. Wilkie, A.D., 1995. "More on a Stochastic Asset Model for Actuarial Use," British Actuarial Journal, Cambridge University Press, vol. 1(5), pages 777-964, December.
    10. Boyle, Phelim P. & Hardy, Mary R., 1997. "Reserving for maturity guarantees: Two approaches," Insurance: Mathematics and Economics, Elsevier, vol. 21(2), pages 113-127, November.
    11. Golub, Bennett & Holmer, Martin & McKendall, Raymond & Pohlman, Lawrence & Zenios, Stavros A., 1995. "A stochastic programming model for money management," European Journal of Operational Research, Elsevier, vol. 85(2), pages 282-296, September.
    12. Martin R. Holmer & Stavros A. Zenios, 1995. "The Productivity of Financial Intermediation and the Technology of Financial Product Management," Operations Research, INFORMS, vol. 43(6), pages 970-982, December.
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    Cited by:

    1. Kleinow, Torsten, 2009. "Valuation and hedging of participating life-insurance policies under management discretion," Insurance: Mathematics and Economics, Elsevier, vol. 44(1), pages 78-87, February.
    2. Goecke, Oskar, 2011. "Sparprozesse mit kollektivem Risikoausgleich," Forschung am ivwKöln 1/2011, Technische Hochschule Köln – University of Applied Sciences, Institute for Insurance Studies.
    3. Consiglio, Andrea & Tumminello, Michele & Zenios, Stavros A., 2015. "Designing and pricing guarantee options in defined contribution pension plans," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 267-279.
    4. Xie, Shuxiang, 2009. "Continuous-time mean-variance portfolio selection with liability and regime switching," Insurance: Mathematics and Economics, Elsevier, vol. 45(1), pages 148-155, August.
    5. Martin Eling & Dieter Kiesenbauer, 2012. "Does Surplus Participation Reflect Market Discipline? An Analysis of the German Life Insurance Market," Journal of Financial Services Research, Springer;Western Finance Association, vol. 42(3), pages 159-185, December.
    6. Yao, Haixiang & Lai, Yongzeng & Li, Yong, 2013. "Continuous-time mean–variance asset–liability management with endogenous liabilities," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 6-17.
    7. Lin, Hongcan & Saunders, David & Weng, Chengguo, 2017. "Optimal investment strategies for participating contracts," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 137-155.
    8. Eling, Martin & Gatzert, Nadine & Schmeiser, Hato, 2009. "Minimum standards for investment performance: A new perspective on non-life insurer solvency," Insurance: Mathematics and Economics, Elsevier, vol. 45(1), pages 113-122, August.
    9. Gülpinar, Nalan & Pachamanova, Dessislava, 2013. "A robust optimization approach to asset-liability management under time-varying investment opportunities," Journal of Banking & Finance, Elsevier, vol. 37(6), pages 2031-2041.
    10. Chi Chiu Chu & Yue Kuen Kwok, 2006. "Pricing Participating Policies With Rate Guarantees," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 9(04), pages 517-532.
    11. Nalan Gülpınar & Dessislava Pachamanova & Ethem Çanakoğlu, 2016. "A robust asset–liability management framework for investment products with guarantees," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 1007-1041, October.
    12. Anne Pedersen & Alex Weissensteiner & Rolf Poulsen, 2013. "Financial planning for young households," Annals of Operations Research, Springer, vol. 205(1), pages 55-76, May.
    13. Christopher Bayliss & Marti Serra & Armando Nieto & Angel A. Juan, 2020. "Combining a Matheuristic with Simulation for Risk Management of Stochastic Assets and Liabilities," Risks, MDPI, vol. 8(4), pages 1-14, December.
    14. Pierre Devolder & Sébastien De Valeriola, 2017. "Minimum Protection in DC Funding Pension Plans and Margrabe Options," Risks, MDPI, vol. 5(1), pages 1-14, January.
    15. de Lange, Petter E. & Fleten, Stein-Erik & Gaivoronski, Alexei A., 2004. "Modeling financial reinsurance in the casualty insurance business via stochastic programming," Journal of Economic Dynamics and Control, Elsevier, vol. 28(5), pages 991-1012, February.

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