Expected Shortfall: A Natural Coherent Alternative to Value at Risk

Carlo Acerbi · Dirk Tasche

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Risk and Portfolio Optimization Financial Risk and Volatility Modeling Probability and Risk Models

Abstract

We discuss the coherence properties of expected shortfall (ES) as a financial risk measure. This statistic arises in a natural way from the estimation of the ‘average of the 100% worst losses’ in a sample of returns to a portfolio. Here p is some fixed confidence level. We also compare several alternative representations of ES which turn out to be more appropriate for certain purposes (J.E.L.: G20, C13, C14).

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1999Coherent Measures of Risk 2000Some Remarks on the Value-at-Risk and the Conditional Value-at-Risk

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