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The Top-Down Approach to Calculation of the Insurance Premium

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  • Wojciech Otto
Abstract
When the risk loading for the whole portfolio is set proportionally to the standard deviation, then the problem of coherent pricing of individual risks arises. Borch (1962), proposed a solution based on Shapley's value of the n-person game. However, the solution is suited only for small n, rather reflecting the game played by few companies that negotiate pooling their portfolios. Otto (2004) proposed an intuitively appealing approximation for the case of large n that leads to allocation of the risk loading proportionaly to variances. The paper is devoted to formally justify that the variance principle can be justified as an approximation to the Shapley’s solution.

Suggested Citation

  • Wojciech Otto, 2008. "The Top-Down Approach to Calculation of the Insurance Premium," Ekonomia journal, Faculty of Economic Sciences, University of Warsaw, vol. 20.
    • Handle: RePEc:eko:ekoeko:20_96
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    File URL: http://ekonomia.wne.uw.edu.pl/ekonomia/getFile/661
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    References listed on IDEAS

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    1. Bühlmann, Hans, 1985. "Premium Calculation from Top Down," ASTIN Bulletin, Cambridge University Press, vol. 15(2), pages 89-101, November.
    2. Borch, Karl, 1962. "Application of Game Theory to Some Problems in Automobile Insurance*)," ASTIN Bulletin, Cambridge University Press, vol. 2(2), pages 208-221, September.
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