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Pricing Unemployment Insurance – An Unemployment-Duration-Adjusted Approach

Published online by Cambridge University Press:  09 August 2013

Hwei-Lin Chuang  and
Min-Teh Yu
Hwei-Lin Chuang
Affiliation:
Department of Economics, National Tsing Hua University, Hsin-Chu 30013, Taiwan, E-mail: [email protected]
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Abstract

This study incorporates the survival analysis of unemployment duration into the insurance pricing framework to measure the fairly-priced premium rate for Taiwan's unemployment insurance (UI) program. Our results suggest that the fair premiums range from 0.2041% to 0.2436% under the 1999-2002 scheme and from 0.1388% to 0.1521% under the 2003-2009 scheme for various possible levels of average unemployment duration in Taiwan, and they are all lower than the current UI premium rate, 1%. This result explains in part why there is a persistent surplus in the UI program. The sensitivity analysis results indicate that the fair premium rate decreases with the hazard rate of exiting from unemployment and increases with the probability of entering into unemployment. The effect of the entering probability is found to be larger than that of the exiting probability. We also provide a wide range of systematic risk coefficient (β) values generated from three alternative methods to measure its impact on fair premium rates and find that the effect of β on premium rates is stronger under the 1999-2002 scheme than that of the 2003-2009 scheme.

Keywords

Unemployment InsuranceFair Premium RateUnemployment DurationSurvival AnalysisCAPM
Type
Research Article
Information
ASTIN Bulletin: The Journal of the IAA , Volume 40 , Issue 2 , November 2010 , pp. 519 - 545
Copyright
Copyright © International Actuarial Association 2010

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References

Alessie, R. and Bloemen, H. (2004) “Premium Differentiation in the Unemployment Insurance System and the Demand for Labor”, Journal of Population Economics 17, 729–765.Google Scholar
Atkinson, A.B. and Micklewright, J. (1991) “Unemployment Compensation and Labor Market Transitions: A Critical Review”, Journal of Economic Literature 29, 1679–1727.Google Scholar
Baker, M. and Rea, S. Jr. (1998) “Employment Spells and Unemployment Insurance Eligibility Requirements”, Review of Economics and Statistics 80, 80–94.CrossRefGoogle Scholar
Beenstock, M. (1985) “Competitive Unemployment Insurance Pricing”, Geneva Papers on Risk and Insurance 10, 23–31.Google Scholar
Beenstock, M. and Brasse, V. (1986) Insurance for Unemployment, London: Allen and Unwin Press.Google Scholar
Blake, D. and Beenstock, M. (1988) “The Stochastic Analysis of Competitive Unemployment Insurance Premiums”, European Economic Review 32, 7–25.Google Scholar
Bover, O., Arellano, M. and Bentolila, S. (2002) “Unemployment Duration, Benefit Duration and the Business Cycle”, Economic Journal 112, 223–65.Google Scholar
Bronars, S.G. (1985) “Fair Pricing of Unemployment Insurance Premiums”, Journal of Business 58, 27–21.Google Scholar
Brown, L. and Ferrall, C. (2003) “Unemployment Insurance and the Business Cycle”, International Economic Review 44, 863–94.Google Scholar
Cordeiro, I.M. (2002) “A Multiple State Model for the Analysis of Permanent Health Insurance Claims by Cause of Disability”, Insurance: Mathematics and Economics 30, 167–186.Google Scholar
Chuang, H.-L. (1999) “Estimating the Determinants of the Unemployment Duration for College Graduates in Taiwan”, Applied Economic Letters 6, 677–681.CrossRefGoogle Scholar
Cummins, D. and Harrington, S. (1987) Fair Rate of Return in Property-Liability Insurance, Boston: Kluwer-Nijhoff Publishing.CrossRefGoogle Scholar
Derrig, R. (1994) “Theoretical Considerations of the Effect of Federal Income Taxes on the Investment Income in Property-Liability Ratemaking”, Journal of Risk and Insurance 61, 691–706.Google Scholar
Devine, T.J. and Kiefer, N.M. (1993) “The Empirical Status of Job Search Theory”, Labour Economics 1, 3–24.Google Scholar
Duan, J.C. and Yu, M.-T. (1994) “Forbearance and Pricing Deposit Insurance in a Multiperiod Framework”, Journal of Risk and Insurance 61(4), 575–591.Google Scholar
Duan, J.C. and Yu, M.-T. (2005) “Fair Insurance Guaranty Premia in the Presence of Risk-Based Capital Regulations, Stochastic Interest Rat and Catastrophe Risk”, Journal of Banking and Finance 29, 2435–2454.Google Scholar
Fairley, W.B. (1979) “Investment Income and Profit Margins in Property-Liability Insurance: Theory and Empirical Results”, Bell Journal of Economics 10, 192–210.CrossRefGoogle Scholar
Gourieroux, C. and Scaillet, O. (1997) “Unemployment Insurance and Mortgages”, Insurance: Mathematics and Economics 20, 173–95.Google Scholar
Haberman, S. and Pitacco, E. (1999) Actuarial Models for Disability Insurance, Chapman & Hall, London, UK.Google Scholar
Hill, R.D. and Modigliani, F. (1987) “The Massachusetts Model of Profit Regulation in Non-Life Insurance”, Fair Rate of Return in Property-liability Insurance, 27–51.Google Scholar
Hoem, J.M. (1972) “Inhomogeneous Semi-Markov Processes, Select Actuarial Tables and Duration Dependence in Demography”, in Greville, T.N.E. (Ed.), Population Dynamics, New York: Academic Press.Google Scholar
Hoem, J.M. (1976) “The Statistical Theory of Demographic Rates – A Review of Current Development”, Scandinavian Journal of Statistics 3, 169–185.Google Scholar
Hunt, J. (1995) “The Effect of Unemployment Compensation on Unemployment Duration in Germany”, Journal of Labor Economics 13, 88–120.Google Scholar
Jones, B.L. (1993) “Modelling Multi-State Processes Using a Markov Assumption, Actuarial Research Clearing House (Proceedings 27th Annual Research Conference, Iowa City, 1992), no. 1, 239–248.Google Scholar
Kalbfleisch, J.D. and Prentice, R.L. (1980) The Statistical Analysis of Failure Time Data, New York: Wiley.Google Scholar
Lancaster, T. (1979) “Econometric Methods for the Duration of Unemployment”, Econometrica 47, 939–956.Google Scholar
Lee, J.-P. and Yu, M.-T. (2002) “Pricing Default-Risky CAT Bonds with Moral Hazard and Basis Risk”, Journal of Risk and Insurance 69, 25–44.Google Scholar
Lippman, S.A. and McCall, J.J. (1976) “The Economics of Job Search: A Survey”, Economic Inquiry 14, 155–189.CrossRefGoogle Scholar
Lynch, L.M. (1985) “State Dependence in Youth Unemployment: A Loss Generation?” Journalof Econometric Annals 28, 71–85.Google Scholar
Moffitt, R. (1985) “Unemployment Insurance and the Distributions of Unemployment Spells”, Journal of Econometrics 28, 85–101.Google Scholar
Mortensen, D.T. (1986) “Job Search and Labor Market Analysis”, in Ashenfelter, O.C. and Layard, R. (eds.), Handbook of Labor Economics, Vol. 2, Amsterdam: North-Holland Publishers.Google Scholar
Myers, S.C. and Cohn, R.A. (1987) “A Discounted Cash Flow Approach to Property-Liability Insurance Regulation”, in Cummins, and Harrington, (eds.), Fair Rate of Return in Property-Liability Insurance, Boston: Kluwer-Nijhoff Publishing, 1987.Google Scholar
Pitacco, E. (1995) “Actuarial Models for Pricing Disability Benefits: Towards A Unifying Approach”, Insurance: Mathematics and Economics 16, 39–62.Google Scholar
Rejda, G.E. and Lee, K.W. (1990) “State Unemployment Compensation Programs: Immediate Reforms Needed”, Journal of Risk and Insurance 68, 649–669.Google Scholar
Roed, K. and Zhang, T. (2003) “Does Unemployment Compensation Affect Unemployment Duration?”, Economic Journal 113, 190–206.Google Scholar
Shavell, S. and Weiss, L. (1979) “Optimal Payment of Unemployment Insurance Benefits Over Time”, Journal of Political Economy 87, 1347–1362.Google Scholar
Urritia, J.L. (1986) “The Capital Asset Pricing Model and the Determination of Fair Underwriting Returns for Property-Liability Insurance Industry”, Geneva Papers on Risk and Insurance 11, 44–60.CrossRefGoogle Scholar
Vroman, W. and Brusentsev, V. (2005) Unemployment Compensation Throughout the World, A Comparative Analysis, W.E. UpJohn Institute.Google Scholar
Wang, C. and Williamson, S.D. (2002) “Moral Hazard, Optimal Unemployment Insurance and Experience Rating”, Journal of Monetary Economics 49, 1337–71.Google Scholar
Waters, H.R. (1984) “An Approach to the Study of Multiple State Models”, Journal of the Institute of Actuaries 111, 363–374.Google Scholar
Waters, H.R. (1989) “Some Aspects of the Modelling of Permanent Health Insurance”, Journal of the Institute of Actuaries 116, 611–624.Google Scholar