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Return Attribution Analysis of the UK Insurance Portfolios

  • emmanuel, mamatzakis
  • george, christodoulakis

We examine the attribution of premium growth rates for the five main insurance sectors of the United Kingdom for the period 1969-2005; in particular, Property, Motor, Pecuniary, Health & Accident, and Liability. In each sector, the growth rates of aggregate insurance premiums are viewed as portfolio returns which we attribute to a number of factors such as realized and expected losses and expenses, their uncertainty and market power, using the Sharpe (1988, 1992) Style Analysis. Our estimation method differs from the standard least squares practice which does not provide confidence intervals for style betas and adopts a Bayesian approach, resulting in a robust estimate of the entire empirical distribution of each beta coefficients for the full sample. We also perform a rolling analysis of robust estimation for a window of seven overlapping samples. Our empirical findings show that there are some main differences across industries as far as the weights attributed to the underlying factors. Rolling regressions assist us to identify the variability of these weights over time, but also across industries.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 22516.

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Date of creation: 23 Mar 2010
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Handle: RePEc:pra:mprapa:22516
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  1. Stephen Satchell & Soosung Hwang, 1999. "The Disappearance of Style in the US Equity Market," Working Papers wp99-18, Warwick Business School, Finance Group.
  2. Anthony Hall & Soosung Hwang & Stephen E. Satchell, 2000. "Using Bayesian Variable Selection Methods to Choose Style Factors in Global Stock Return Models," Econometric Society World Congress 2000 Contributed Papers 1213, Econometric Society.
  3. Emmanouel Mamatzakis & Christos Staikouras, 2006. "A micro-econometric model of the UK property-liability insurance industry," Applied Financial Economics Letters, Taylor and Francis Journals, vol. 2(4), pages 257-260, July.
  4. Geweke, John, 1986. "Exact Inference in the Inequality Constrained Normal Linear Regression Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(2), pages 127-41, April.
  5. Harrington, Scott E & Danzon, Patricia M, 1994. "Price Cutting in Liability Insurance Markets," The Journal of Business, University of Chicago Press, vol. 67(4), pages 511-38, October.
  6. Winter Ralph A., 1994. "The Dynamics of Competitive Insurance Markets," Journal of Financial Intermediation, Elsevier, vol. 3(4), pages 379-415, September.
  7. Richard D. Phillips & J. David Cummins & Franklin Allen, 1996. "Financial Pricing of Insurance in the Multiple Line Insurance Company," Center for Financial Institutions Working Papers 96-09, Wharton School Center for Financial Institutions, University of Pennsylvania.
  8. Kloek, Tuen & van Dijk, Herman K, 1978. "Bayesian Estimates of Equation System Parameters: An Application of Integration by Monte Carlo," Econometrica, Econometric Society, vol. 46(1), pages 1-19, January.
  9. J. David Cummins, 2000. "Allocation of Capital in the Insurance Industry," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 3(1), pages 7-27, 03.
  10. Tae-Hwan Kim, 2005. "Asymptotic and Bayesian Confidence Intervals for Sharpe-Style Weights," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 3(3), pages 315-343.
  11. Cummins, J. David & Danzon, Patricia M., 1997. "Price, Financial Quality, and Capital Flows in Insurance Markets," Journal of Financial Intermediation, Elsevier, vol. 6(1), pages 3-38, January.
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