The Pricing for Interest Sensitive Products of Life Insurance Firms

James C. Hao

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DOI: 10.4236/me.2011.23025                

Abstract

The major purpose of this paper is to construct interest rate risk models for interest sensitive products issued by life insurance firms in Taiwan. With interest declines in late 1990s, single paid interest sensitive annuity takes up about 20% of new policy premiums in Taiwan; this implies its risk and profitability become critical to insurers’ financial health. The paper constructs the Black-Derman-Toy model combining with optional-adjusted spread analysis model to price the spread on asset required to yield to make such products break even, with further extension to measure the impact of interest shock on asset liability management. We choose two different crediting strategy products to illustrate the option value of the insurance firms- the option to reset rates based on the path of interest rates and the expenses charges as well as the option of policyholders-the option to surrender policy if not satisfied with crediting rate. With our implemenTable models, insurance firm will have capacity to quantify its risk exposure and source of profitability as well as to seek an optimal strategy balancing sale volume and aggressiveness of crediting policy.

Keywords

Cash Flow Analysis, Interest Sensitive Annuity, Arbitrage Free Interest Rate Model, Optional-Adjusted Spread Analysis Model

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	A. M. Santomero and D. F. Babbel, “Financial Risk Management by Insurers: An Analysis of the Process,” Journal of Risk and Insurance, Vol. 64, No. 2, 1997, pp. 231-270. doi:10.2307/253730
[2]	B. Elijah III, J. M. Carson, E. Elyasiani, I. Mansur and W. L. Scott, “Interest Rate Risk and Equity Values of Life Insurance Companies: A Garch-M Model,” Journal of Risk and Insurance, Vol. 74, No. 2, 2007, pp. 401-423. doi:10.1111/j.1539-6975.2007.00218.x
[3]	M. J. Browne, J. M. Carson and R. E. Hoyt, “Economic and Market Predictors of Insolvency in the Life-Health Insurance Industry,” Journal of Risk and Insurance, Vol. 66, No. 4, 1999, pp. 643-659. doi:10.2307/253868
[4]	M. J. Browne, J. M. Carson and R. E. Hoyt, “Dynamic Financial Models of Life Insurers,” North American Actuarial Journal, Vol. 5, No. 2, 2001, pp. 11-26.
[5]	J. D. Cummings and J. Lamm-Tennant, “Capital Structure and the Cost of Capital in Property-Liability Insurance,” Insurance: Mathematics and Economics, Vol. 15, No. 2-3, 1994, pp. 187-201. doi:10.1016/0167-6687(94)90794-3
[6]	L. L. Colquitt and R. E. Hoyt, “Determinants of Corporate Hedging Behavior: Evidence from the Life Insurance Industry,” Journal of Risk and Insurance, Vol. 64, No. 4, 1997, pp. 649-671. doi:10.2307/253890
[7]	R. E. Hoyt, “Use of Financial Futures by Life Insurers,” Journal of Risk and Insurance, Vol. 56, No. 4, 1989, pp. 740-748. doi:10.2307/253457
[8]	T. Kleinow, “Fair Valuation and Hedging of Participating Life-Insurance Policies under Management Discretion,” Working Paper, Heriot-Watt University, Edinburgh, 2006.
[9]	H. Z. Huang and Y. C. Lee, “The Risk Management of Interest Rate Sensitivity Policies: Interest Rate Declaring Strategies and Investment Strategies,” Insurance Journal, Vol. 24, No. 1, 2008, pp. 1-28.
[10]	M. W. Griffin, “An Excess Spread Approach to Nonparticipating Insurance Products,” Transactions of Society of Actuaries, Vol. 42, 1990, pp. 231-258.
[11]	B. Fisher, E. Derman and W. Toy, “A One-Factor Model of Interest Rates and Its Application to Treasury Bond Options,” Financial Analysts Journal, Vol. 46, No. 1, 1990, pp. 33-39. doi:10.2469/faj.v46.n1.33
[12]	A. Ang and M. Sherris, “Interest Rate Risk Management: Developments in Interest Rate Term Structure Modeling for Risk Management and Valuation of Interest-Rate- Dependent Cash Flows,” North American Actuarial Journal, Vol. 1, No. 2, 1997, pp. 1-26.