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Risk measures and economic capital for (re)insurers

Tsanakas, A. (2007). Risk measures and economic capital for (re)insurers. In: Everitt, B. & Melnick, E. (Eds.), Encyclopedia of Quantitative Risk Analysis and Assessment. . Wiley.


This contribution relates to the use of risk measures for determining (re)insurers’ economic capital requirements. Alternative sets of properties of risk measures are discussed. Furthermore, methods for constructing risk measures via indifference arguments, representation results and re-weighting of probability distributions are presented. It is shown how these different approaches relate to popular risk measures, such as VaR, Expected Shortfall, distortion risk measures and the exponential premium principle. The problem of allocating aggregate economic capital to sub-portfolios (e.g. insurers’ lines of business) is then considered, with particular emphasis on marginal-cost-type methods. The relationship between insurance pricing and capital allocation is briefly discussed, based on concepts such as the opportunity and frictional costs of capital and the impact of the potential of default on insurance rates.

Publication Type: Book Section
Additional Information: Copyright © 2000-2017 by John Wiley & Sons, Inc., or related companies. All rights reserved.
Publisher Keywords: risk measures, economic capital, risk capital, premium principles, choice under risk, solvency, capital allocation, insurance pricing, return on capital
Subjects: H Social Sciences > HD Industries. Land use. Labor > HD61 Risk Management
Departments: Bayes Business School > Actuarial Science & Insurance
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