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2016 ASTIN Colloquium
Lisbon, Portugal

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General Insurance

Backtesting ES: A simple multinomial test

Replacing Value-at-Risk (VaR) by Expected Shortfall (ES) in Basel 3 is under current discussion, as ES is in general a better risk measure than VaR, more reliable tool for risk management. Hence the question of providing a backtest for ES, as handy in practice as the popular binomial backtest based on a violation process, used for the VaR. It is what we propose in this study. Following the idea by Emmer et al. of considering an empirical approach that consists in replacing ES by a set of a small number of quantiles for the backtesting, comes the natural proposition of a simple multinomial backtest for ES. It turns out to give reasonable results, certainly much better than with the binomial backtest, helping to distinguish between models.
Speakers: Marie Kratz, Yen Hsiao Lok, Alexander McNeil
June 1, 2016