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Some Notes on the Average Duration of an Income Protection Claim*

Published online by Cambridge University Press:  17 April 2015

Isabel Maria Ferraz Cordeiro*
Affiliation:
Escola de Economia e Gestão, Universidade do Minho, Campus Universitário de Gualtar, 4710-057 Braga, Portugal, Tel: ++351-253-604563, Fax: ++351-253-676375, E-mail: [email protected]
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Abstract

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Cordeiro (2002a) has presented a multiple state model for Income Protection (formerly known as Permanent Health Insurance) which enables us to analyse claims by cause of disability. In that paper average claim durations conditioned on recovery have been calculated.

Since, when an Income Protection claim is reported, the insurance company never knows whether it will end in recovery, in death or in expiry, to analyse only average claim durations conditioned on recovery could be misleading, specially for the people responsible for the claims control process.

The main purpose of this paper is to calculate average claim durations conditioned on death and average claim durations not conditioned on any particular mode of claim termination. We calculate these claim durations for different deferred periods, causes of disability and ages at the beginning of sickness and we analyse the results obtained.

Type
Articles
Copyright
Copyright © ASTIN Bulletin 2007

Footnotes

*

This research was supported by FCT – Fundação para a Ciência e Tecnologia, Portugal, under program POCTI.

References

Committee of the SOA to Recommend New Disability Tables for Valuation (1985) Report of the Committee to Recommend New Disability Tables for Valuation. Transactions of Society of Actuaries 37, 449601.Google Scholar
Continuous Mortality Investigation Committee (1991) The Analysis of Permanent Health Insurance Data. Continuous Mortality Investigation Reports 12. The Institute of Actuaries and the Faculty of Actuaries.Google Scholar
Continuous Mortality Investigation Committee (1996) Recovery and Mortality Rates of Those Claiming Under PHI Policies, Individual 1975-90 and Group 1975-86. Continuous Mortality Investigation Reports 15. The Institute of Actuaries and the Faculty of Actuaries.Google Scholar
Continuous Mortality Investigation Committee (2000) Sickness Experience 1991-94 for Individual PHI Policies. Continuous Mortality Investigation Reports 18. The Institute of Actuaries and the Faculty of Actuaries.Google Scholar
Continuous Mortality Investigation Committee (2001) Sickness Experience 1995-98 for Individual Income Protection Policies. Continuous Mortality Investigation Reports 20. The Institute of Actuaries and the Faculty of Actuaries.Google Scholar
Continuous Mortality Investigation Committee (2005) Sickness Experience 1999-2002 for Individual Income Protection Policies. Continuous Mortality Investigation Reports 22. The Institute of Actuaries and the Faculty of Actuaries.Google Scholar
Cordeiro, I.M.F. (2002a) A Multiple State Model for the Analysis of Permanent Health Insurance Claims by Cause of Disability. Insurance: Mathematics and Economics 30(2), 167186.Google Scholar
Cordeiro, I.M.F. (2002b) Transition Intensities for a Model for Permanent Health Insurance. Astin Bulletin 32(2), 319346.CrossRefGoogle Scholar
Haberman, S. and Pitacco, E. (1999) Actuarial Models for Disability Insurance. Chapman & Hall/CRC, London.Google Scholar
Hoem, J.M. (1969) Some Notes on the Qualifying Period in Disability Insurance II. Problems of Maximum Likelihood Estimation. Mitteilungen der Vereinigung schweizerischer Versicherungsmathematiker 69, 301317.Google Scholar
Hoem, J.M. (1972) Inhomogeneous Semi-Markov Processes, Select Actuarial Tables and Duration Dependence in Demography. In Population Dynamics (ed. Greville, T.N.E.), Academic Press, New York.Google Scholar
Hoem, J.M. (1976) The Statistical Theory of Demographic Rates – A Review of Current Developments. Scandinavian Journal of Statistics 3, 169185.Google Scholar
Hoem, J.M. (1988) The Versatility of the Markov Chain as a Tool in the Mathematics of Life Insurance. Transactions of the 23rd International Congress of Actuaries R, 171202.Google Scholar
Income Protection Committee (2006) Analysis of Individual Income Protection Experience by Cause of Disability. Continuous Mortality Investigation Working Paper 23. The Institute of Actuaries and the Faculty of Actuaries.Google Scholar
Individual Disability Experience Committee (2005) 1990-99 Individual Disability Experience Committee Report. Society of Actuaries.Google Scholar
Waters, H.R. (1984) An Approach to the Study of Multiple State Models. The Journal of the Institute of Actuaries Part II: 111(448), 363374.CrossRefGoogle Scholar
Waters, H.R. (1990) The Recursive Calculation of the Moments of the Profit on a Sickness Insurance Policy. Insurance: Mathematics and Economics 9, 101113.Google Scholar
Wolthuis, H. (1994) Life Insurance Mathematics (The Markovian Model). CAIRE Education Series, Vol. 2.Google Scholar