Abstract
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 and 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 (Determining the Fund’s Effective Asset Mix. Investment Management Review, November–December, pp. 59–69, 1988; J. Portfolio Manag. 18:7–19, 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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References
Association of British Insurers (ABI): Sources of premium income (various issues), London (2006a)
Association of British Insurers (ABI): Insurance statistics, London (2006b)
Chen R., Wong K.A., Lee H.C.: Underwriting cycles in Asia. J Risk Insur 66, 29–47 (1999)
Christodoulakis G.A.: Sharpe style analysis in the MSCI country and sector portfolios: a monte carlo integration approach. Oper Res Int J 2(2), 123–137 (2003)
Christodoulakis G.A.: Markovian credit transition probabilities under inequality constraints: the US portfolio 1984–2004. J Credit Risk 3(3), 25–39 (2007)
Cummins J.D., Outreville J.F.: An international analysis of underwriting cycles in property-liability insurance. J Risk Insur 54(2), 246–262 (1987)
Cummins J.D.: Risk-Based premiums for insurance guarantee funds. J Finan 43, 823–839 (1988)
Cummins J.D., Danzon P.: Price, financial quality and capital flows in insurance markets. J Finan Intermed 6, 3–38 (1997)
Cummins J.D.: Allocation of capital in the insurance industry. Risk Manag Insur Rev 3(1), 7–28 (2000)
Davis W.W.: Bayesian analysis of the linear model subject to linear inequality constraints. J Am Stat Assoc 78, 573–579 (1978)
Fung H.G., Lai G.C., Patterson G.C., Witt R.C.: Underwriting cycles in property and liability insurance: an empirical analysis of industry and by-line data. J Risk Insur 65(4), 539–562 (1998)
Geweke J.: Exact inference in the inequality constrained normal linear regression model. J Appl Econ 1, 127–141 (1986)
Gron A.: Capacity constraints in property-casualty insurance markets. Rand J Econ 25(1), 110–127 (1994)
Hall A.D., Hwang S., Satchell S.E.: Using bayesian variable selection methods to choose style factors in global stock return models. J Bank Finan 26(12), 2301–2325 (2002)
Hwang S., Satchell S.: The disappearance of style in the US equity market. Appl Finan Econ 17(8), 597–613 (2007)
Harrington S.E., Danzon P.M.: Price cutting in liability insurance markets. J Bus 67, 511–538 (1994)
Judge G., Takayama T.: Inequality restrictions in regression analysis. J Am Stat Assoc 61, 166–181 (1966)
Judge G.G., Yancey T.A.: Improved Methods of Inference in Econometrics. North Holland, Amsterdam (1986)
Kim T.-H., Stone D., White H.: Asymptotic and bayesian confidence intervals for sharpe style weights. J Finan Econom 3, 315–343 (2005)
Kloek T., van Dijk H.K.: Bayesian estimates of equation system parameters: an application of integration by monte carlo. Econometrica 46(1), 1–19 (1978)
Lamm-Tennant J., Weiss M.A.: International insurance cycles: rational expectations/institutional intervention. J Risk Insur 64, 415–439 (1997)
Lai G., Witt R.C.: Changed insurer expectations: an insurance-economics view of the commercial liability insurance crisis. J Insur Regul 10, 342–383 (1992)
Lobosco, A., DiBartolomeo, D.: Approximating the confidence intervals for sharpe style weights. Finan Anal J July–August:80–85 (1997)
Mamatzakis, E.C., Staikouras, C.: A micro-econometric model of the UK property—liability insurance industry. Appl Finan Econ Lett May (2006)
Myers S.C., Read J.A. Jr: Capital allocation for insurance companies. J Risk Insur 168(4), 545–580 (2001)
Niehaus G., Terry A.: Evidence on the time series properties of insurance premiums and causes of the underwriting cycle: new support for the capital market imperfection hypothesis. J Risk Insur 60(3), 446–479 (1993)
OECD Insurance statistics yearbook, 1993–2004 (2005)
Phillips R.D., David Cummins J., Allen F.: Financial pricing of insurance in the multiple-line insurance company. J Risk Insur 65(4), 597–636 (1998)
Sharpe, W.F.: Determining the fund’s effective asset mix. Invest Manag Rev November–December:59–69 (1988)
Sharpe W.F.: Asset allocation: management style and performance measurement. J Portf Manag 18, 7–19 (1992)
van Dijk H.K., Kloek T.: Further experience in bayesian analysis using monte carlo integration. J Econ 14, 307–328 (1980)
Venezian, E.C.: Ratemaking methods and profit cycles in property and liability insurance. J Risk Insur 52(3), 477 (1985)
Winter R.A.: The dynamics of competitive insurance markets. J Finan Inter 3, 379–415 (1994)
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Christodoulakis, G.A., Mamatzakis, E.C. Return attribution analysis of the UK insurance portfolios. Ann Finance 6, 405–420 (2010). https://doi.org/10.1007/s10436-009-0129-7
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DOI: https://doi.org/10.1007/s10436-009-0129-7
Keywords
- Insurance premiums
- Monte Carlo integration
- Non-negativity constraints
- Return attribution
- Sharpe style analysis