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Title: 人壽保險人之資產負債管理:有效存續期間/有效凸性之分析與模擬最佳化
Asset and liability management for life insurers: effective duration and effective convexity analysis and simulation optimization
Authors: 詹芳書
Chan, Fang-Shu
Contributors: 蔡政憲
Tsai, Cheng Hsien
Chan, Fang-Shu
Keywords: 有效存續期間
Date: 2009
Issue Date: 2011-10-11 16:51:01 (UTC+8)
Abstract: 本研究的第一部份是利用有效存續期間與有效凸性來衡量人壽保險人的利率風險。我們發現Tsai (2009)指出的壽險保單準備金之有效存續期間結構並非一般化的結果。當長期利率水準高於保單預定利率及保單解約率敏感於利差時,準備金之有效存續期間會呈現與Tsai (2009)相反的結構。我們進一步發現準備金之有效凸性會亦有可能呈現負值,且不易依照保單到期期限歸納出一般化的結構。負值的有效凸性起因於準備金並非利率的單調函數,且準備金與利率的函數關係隨保單到期期限而不同。我們的研究結果可以幫助人壽保險人執行更為精確的資產負債管理。

In the first part of this doctoral dissertation, we focus on a proper measurement on interest rate risk of life insurer’s liabilities, policy reserves, by incorporating the general effective duration and effective convexity measures. Tsai (2009) identified a term structure of the effective durations of life insurance reserves. We find that his results are not general. When the long-run mean of interest rates is higher than the policy crediting rate and the surrender rate is sensitive to the spread, the term structure would exhibit an opposite pattern to the one in Tsai (2009). We further find that the effective convexities might be negative and the term structure of the effective convexities exhibits no general pattern. The irregularities originate from negative effective convexities result from the relationship between mean reserves and initial short rate for different years to maturity. Our results can help life insurers to implement more accurate asset-liability management.

In the second part, we analyze asset allocation and leverage strategies for a life insurer selling traditional insurance products by using a simulation optimization method. We assume that an insurer invests equity capital (from its shareholders) and premiums it receives from policyholders by choosing a portfolio intended to maximize the annual return of equity minus the penalty of insolvencies and risks. We regard the leverage as an internal factor in asset allocation. Based on these assumptions, we get a promising multiple-periods asset allocation and leverage, besides analyzing how leverage affects asset allocation strategies.
Reference: Part One:
Ahlgrim, K. C., S. P. D’Arcy, and R. W. Gorvett, 1999, Parameterizing Interest Rate Models, Casualty Actuarial Society Forum Summer, 1-50.
Ahlgrim, K. C., S. P. D’Arcy, and R. W. Gorvett, 2004, The Effective Duration and Convexity of Liabilities of Property-Liability Insurers under Stochastic Interest Rates, Geneva Papers on Risk and Insurance Theory 29, 75-108.
American Council of Life Insurance, 1999, Life Insurance Fact Book (Washington DC: American Council of Life Insurance).
Babbel, D. F., 1995, Asset-Liability Matching in the Life Insurance Industry, in: The Financial Dynamics of the Insurance Industry, Edward. I. Altman and Irwin. T. Vanderhoof, eds. (New York: IRWIN Professional Publishing).
Babble, D. F., J. Gold and C. B. Merrill, 2002, Fair Value of Liabilities: The Financial Economics Perspective, North American Actuarial Journal 6, 12-27.
Babbel, D. F. and R. Stricker, 1987, Asset/Liability Management for Insurers, Insurance Perspectives, Goldman Sachs, 1-26.
Bowers, N. L., H. U. Gerber, and J. C. Hickman, D. A. Jones, and C. J. Nesbitt, 1997, Actuarial Mathematics, 2nd ed. (Schaumburg, Illinois: Society of Actuaries).
Briys, E. and F. de Varenne, 1997, On the Risk of Insurance Liabilities: Debunking Some Common Pitfalls, Journal of Risk and Insurance 64, 673-694.
Briys, E. and F. de Varenne, 2001, Insurance from Underwriting to Derivatives: Asset Liability Management in Insurance Companies (New York: John Wiley & Sons).
Chan, K. C., G. A. Karolyi, F. A. Longstaff, and A. B. Sanders, 1992, An Empirical Comparison of Alternative Models of the Short-Term Interest Rate, Journal of Finance 47, 1209-1227.
Chen, L., 1996, Stochastic Mean and Stochastic Volatility Three-Factor Model of the Term Structure of Interest Rates and Its Applications in Derivatives Pricing and Risk Management, Financial Markets, Institutions and Instruments 5, 1-18.
Choudhry, M., 2005, Fixed-Income Securities and Derivatives Handbook: Analysis and Valuation, (Princeton, New Jersey: Bloomberg Press).
Cox, J. C., J. E. Ingersoll, Jr., and S. A. Ross, 1985, A Theory of the Term Structure of Interest Rates, Econometrica 53, 385-408.
Dahlquist, M., 1996, On Alternative Interest Rate Processes, Journal of Banking and Finance 20, 1093-1119.
Doll, D. C., P. C. Elam, J. E. Hohmann, J. M. Keating, D. S. Kolsrud, K. O. MacDonald, M. S. McLaughlin, T. J. Merfeld, S. D. Reddy, R. R. Reitano, R. S. Robertson, E. L. Robbins, D. Y. Rogers, and H. W. Siegel, 1998, Fair Valuation of Life Insurance Company Liabilities, in: The Fair Value of Insurance Liabilities, Irwin T. Vanderhoof, and Edward I. Altman eds. (New York: Kluwer Academic Publishers).
Douglas, L. G., 1990, Bond Risk Analysis: A Guide to Duration and Convexity. (New York: New York Institute of Finance).
Fabozzi, F. J., 1998, Valuation of Fixed Income Securities and Derivatives, 3rd ed. (New Hope, Pennsylvania: Frank J. Fabozzi Associates).
Glasserman, P., 2003, Monte Carlo Methods in Financial Engineering. (New York: Springer-Verlag).
Hayre, L. and H. Chang, 1997, Effective and Empirical Durations of Mortgage Securities, Journal of Fixed Income 6, 17-33.
Kim, C., 2005, Modeling Surrender and Lapse Rates with Economic Variables, North American Actuarial Journal 9, 56-70.
Kuo, W., C. Tsai, and W. Chen, 2003, An Empirical Study on the Lapse Rate: The Cointegration Approach, Journal of Risk and Insurance 70, 489-508.
Li, D. X. and H. H. Panjer, 1994, Immunization Measures for Life Contingencies, The 4th AFIR Conference, 375-395.
Macaulay, F., 1938, Some Theoretical Problems Suggested by the Movements of Interest Rates, Bond Yields, and Stock Prices in the United States since 1856 (New York: National Bureau of Economic Research).
Norman, K. B., 1997, Gaussian Estimation of Single-Factor Continuous Time Models for the Term Structure of Interest Rates, Journal of Finance 52, 1695-1706.
Santomero, A. M. and D. F. Babbel, 1997, Financial Risk Management by Insurers: An analysis of the Process, Journal of Risk and Insurance 64, 231-270.
Tsai, C., 2009, The Term Structure of Reserve Durations and the Duration of Aggregate Reserves, Journal of Risk and Insurance 76, 419-441.
Tsai, C., W. Kuo, and W. Chen, 2002, Early Surrender and the Distribution of Policy Reserves, Insurance: Mathematics, and Economics 31, 429-445.
Wilmott, P., 1998, Derivatives: The Theory and Practice of Financial Engineering. (Chichester: John Wiley and Sons).
Part Two:
Baranoff, E. G. and T. W. Sager, 2004, Managing Capital Structure: The Case of Life Insurers – A Semiparametric Simultaneous Quations Approach, Risk Theory Seminar (New York).
Baranoff, E. G. and T. W. Sager, 2003, The Interrelationship among Organizational and Distribution Forms and Capital and Asset Risk Structures in the Life Insurance Industry, Journal of risk and insurance 70, 375-400.
Baranoff, E. G. and T. W. Sager, 2002, The Relationship between Asset Risk, Product Risk, and Capital in the Life Insurance Industry, Journal of Banking and Finance 26, 1181-1197.
Brennan, M. J., E. S. Schwartz, and R. Lagnado, 1997, Strategic Asset Allocation, Journal of Economic Dynamics and Control 21, 1377-1403.
Browne, M. J., J. M. Carson, R. E. Hoyt, 1999, Economic and Market Predictors of Insolvencies in the Life-Health Insurance Industry, Journal of Risk and Insurance 66, 643-659.
Browne, M. J., J. M. Carson, R. E. Hoyt, 2001, Dynamic Financial Models of Life Insurers, North American Actuarial Journal 5, 11-26.
Campbell, J. Y., 2000, Asset Pricing at the Millennium, Journal of Finance 55, 1515-1567.
Consiglio, A., D. Saunders, and S. A. Zenios, 2006, Asset and Liability Management for Insurance Products with Minimum Guarantees: The UK case, Journal of Banking and Finance 30, 645-667.
Cox, J. C. and C. F. Huang, 1989, Optimal Consumption and Portfolio Policies when Asset Prices Follow a Diffusion Process, Journal of Economic Theory 49, 33-83.
Cox, J. C., J. E. Ingersoll, and S. A. Ross, 1985, A Theory of the Term Structure of Interest Rates, Econometrica 53, 385-407.
Cummins, J. D. and D. W. Sommer, 1996, Capital and Risk in Property-Liability Insurance Markets, Journal of Banking and Finance 20, 1069-1092.
Dorigo, M., A. Coloni, and V. Maniezzo, 1991, Distributed Optimization by Ant Colonies, First European Conference on Artificial Life, 134-142.
Eberhart, R C. and J. Kennedy, 1995, Particle Swarm Optimization, IEEE International Conference on Neural Networks, 1942-1948.
Fu, M. C., 1994, Optimization via Simulation: a review, Annals of Operations Research 53, 199-247.
Hammond, J. D., E. R. Melander and N. Shilling, 1976, Risk, Return, and Capital: The Insurer Case, Journal of Financial and Quantitative Analysis 11, 115-131.
Hardy, M. R., 1993, Stochastic Simulation in Life Office Solvency Assessment, Journal of Institute of Actuaries 120, 131-151.

Hardy, M. R., 1996, Simulating the Relative solvency of Life Insurers, British Actuarial Journal 2, 1003-1019.
Huang, S.T., 2009, Two Essays on the Applications of Simulation Optimization to the Asset Allocations of a Property-Casualty Insurer, unpublished doctoral dissertation, National Chengchi University (Taiwan).
Iwaki, H. and S. Yumae, 2004, An Efficient Frontier for Participating Policies in a Continuous-Time Economy, Insurance: Mathematics and Economics 35, 611-625.
Kaufmann, R., A. Gadmer, and R. Klett, 2001, Introduction to Dynamic Financial Analysis, ASTIN Bulletin 31, 213-249.
Kendall, G. and Y. Su, 2005, A Particle Swarm Optimization Approach in the Construction of Optimal Risk Portfolios, 23rd IASTED International Multi-Conference Artificial Intelligence and Application, 140-145.
Kennedy, J., 1999, Small Worlds and Mega Minds: Effects of Neighborhood Topology on Particle Swarm Performance, Congress of Evolutionary Computation, 1931-1938.
Lu, M., D. Wu, and J. Zhang, 2006, A Particle Swarm Optimization-Based Approach to Tackling Simulation Optimization of Stochastic, Large-Scale and Complex Systems, Lecture Notes in Computer Science 3930, 528-537.
Markowitz, H. M., 1952, Portfolio Selection, Journal of Finance 7, 77-91.
Merton, R. C., 1971, Optimal Consumption and Portfolio Rules in a Continuous-Time Model, Journal of Economic Theory 3, 373-413.
Merton, R. C., 1976, Option Pricing When Underlying Stock Return Are Discontinuous, Journal of Financial Economics 3, 125-144.
Merton, R. C., 1990, Continuous Time Finance (Cambridge: Basil Blackwell).
Michaelsen, J. B. and R. C. Goshay, 1967, Portfolio Selection in Financial Intermediaries: A New Approach, Journal of Financial and Quantitative Analysis 2, 166-199.
Poli, R., 2008, Analysis of the Publications on the Applications of Particle Swarm Optimization, Journal of Artificial Evolution and Applications, 1-10.
Shi, Y. and R. C. Eberhart, 1998, Parameter Selection in Particle Swarm Optimization, 7th Annual Conference on Evolutionary Programming, 591-600.
Shrieves, R. E. and D. Dahl, 1992, The Relationship between Risk and Capital in Commercial Bank, Journal of Banking and Finance 16, 439-457.
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Data Type: thesis
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