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Stochastic Analysis of the Interaction Between Investment and Insurance Risks

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  • Gary Parker

Abstract

A portfolio of different insurance policies, such as temporary, endowment, and whole life, is studied in a stochastic mortality and interest environment. The first two moments of the present value of the benefits of the portfolio are derived. The riskiness of the portfolio as measured by the variance of the present value of the benefits can be divided into an insurance risk and an investment risk in two different ways. One way leads to a more natural interpretation of the two risk components. A simple portfolio is used to illustrate the results.

Suggested Citation

  • Gary Parker, 1997. "Stochastic Analysis of the Interaction Between Investment and Insurance Risks," North American Actuarial Journal, Taylor & Francis Journals, vol. 1(2), pages 55-71.
    • Handle: RePEc:taf:uaajxx:v:1:y:1997:i:2:p:55-71
    DOI: 10.1080/10920277.1997.10595604
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    Cited by:

    1. Nolde, Natalia & Parker, Gary, 2014. "Stochastic analysis of life insurance surplus," Insurance: Mathematics and Economics, Elsevier, vol. 56(C), pages 1-13.
    2. Marceau, Etienne & Gaillardetz, Patrice, 1999. "On life insurance reserves in a stochastic mortality and interest rates environment," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 261-280, December.
    3. Cocozza, R & Di Lorenzo, E & Sibillo, M, 2004. "Methodological problems in solvency assessment of an insurance company," MPRA Paper 27980, University Library of Munich, Germany.
    4. Griselda Deelstra, 2000. "Long-term returns in stochastic interest rate models: applications," ULB Institutional Repository 2013/7590, ULB -- Universite Libre de Bruxelles.
    5. Chen, Li & Lin, Luyao & Lu, Yi & Parker, Gary, 2017. "Analysis of survivorship life insurance portfolios with stochastic rates of return," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 16-31.
    6. Cairns, Andrew J. G., 2000. "A discussion of parameter and model uncertainty in insurance," Insurance: Mathematics and Economics, Elsevier, vol. 27(3), pages 313-330, December.
    7. Debicka, Joanna, 2003. "Moments of the cash value of future payment streams arising from life insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 33(3), pages 533-550, December.
    8. Griselda Deelstra & Jacques Janssen, 1998. "Interaction between asset liability management and risk theory," ULB Institutional Repository 2013/7586, ULB -- Universite Libre de Bruxelles.
    9. A. Fiori Maccioni & A. Bitinas, 2013. "Lithuanian pension system's reforms following demographic and social transitions," Working Paper CRENoS 201315, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
    10. Rabitti, Giovanni & Borgonovo, Emanuele, 2020. "Is mortality or interest rate the most important risk in annuity models? A comparison of sensitivity analysis methods," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 48-58.
    11. Hoedemakers, Tom & Darkiewicz, Grzegorz & Goovaerts, Marc, 2005. "Approximations for life annuity contracts in a stochastic financial environment," Insurance: Mathematics and Economics, Elsevier, vol. 37(2), pages 239-269, October.
    12. Alessandro Fiori Maccioni, 2011. "A Stochastic Model for the Analysis of Demographic Risk in Pay-As-You-Go Pension Funds," Papers 1106.5081, arXiv.org.
    13. Tsai, Chenghsien & Kuo, Weiyu & Chen, Wei-Kuang, 2002. "Early surrender and the distribution of policy reserves," Insurance: Mathematics and Economics, Elsevier, vol. 31(3), pages 429-445, December.

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