Bootstrapping the Expected Shortfall
نویسندگان
چکیده
منابع مشابه
Expected Shortfall and Beyond
Abstract. Financial institutions have to allocate so-called economic capital in order to guarantee solvency to their clients and counter parties. Mathematically speaking, any methodology of allocating capital is a risk measure, i.e. a function mapping random variables to the real numbers. Nowadays value-atrisk, which is defined as a fixed level quantile of the random variable under consideratio...
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The paper evaluates the properties of nonparametric estimators of the expected shortfall, an increasingly popular risk measure in financial risk management. It is found that the existing kernel estimator based on a single bandwidth does not offer variance reduction, which is surprising considering that kernel smoothing reduces the variance of estimators for the value at risk and the distributio...
متن کاملModel Risk of Expected Shortfall
In this paper we study the model risk of Expected Shortfall (ES), extending the results of Boucher et al. (2014) on model risk of Value-at-Risk (VaR). We propose a correction formula for ES based on passing three backtests. Our results show that for the DJIA index, the smallest corrections are required for the ES estimates built using GARCH models. Furthermore, the 2.5% ES requires smaller corr...
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Expected Shortfall (ES) in several variants has been proposed as remedy for the deficiencies of Value-at-Risk (VaR) which in general is not a coherent risk measure. In fact, most definitions of ES lead to the same results when applied to continuous loss distributions. Differences may appear when the underlying loss distributions have discontinuities. In this case even the coherence property of ...
متن کاملExpected shortfall estimation using kernel machines †
In this paper we study four kernel machines for estimating expected shortfall, which are constructed through combinations of support vector quantile regression (SVQR), restricted SVQR (RSVQR), least squares support vector machine (LS-SVM) and support vector expectile regression (SVER). These kernel machines have obvious advantages such that they achieve nonlinear model but they do not require t...
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ژورنال
عنوان ژورنال: Theoretical Economics Letters
سال: 2018
ISSN: 2162-2078,2162-2086
DOI: 10.4236/tel.2018.84046