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Risks 2018, 6(4), 142; https://doi.org/10.3390/risks6040142

A Discussion on Recent Risk Measures with Application to Credit Risk: Calculating Risk Contributions and Identifying Risk Concentrations

1
Lehrstuhl für Statistik und Ökonometrie, Universität Erlangen-Nürnberg, Lange Gasse 20, 90403 Nürnberg, Germany
2
Risikocontrolling Kapitalanlagen, R+V Lebensverischerung AG, Raiffeisenplatz 1, 65189 Wiesbaden, Germany
*
Author to whom correspondence should be addressed.
Received: 11 October 2018 / Revised: 26 November 2018 / Accepted: 30 November 2018 / Published: 7 December 2018
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Abstract

In both financial theory and practice, Value-at-risk (VaR) has become the predominant risk measure in the last two decades. Nevertheless, there is a lively and controverse on-going discussion about possible alternatives. Against this background, our first objective is to provide a current overview of related competitors with the focus on credit risk management which includes definition, references, striking properties and classification. The second part is dedicated to the measurement of risk concentrations of credit portfolios. Typically, credit portfolio models are used to calculate the overall risk (measure) of a portfolio. Subsequently, Euler’s allocation scheme is applied to break the portfolio risk down to single counterparties (or different subportfolios) in order to identify risk concentrations. We first carry together the Euler formulae for the risk measures under consideration. In two cases (Median Shortfall and Range-VaR), explicit formulae are presented for the first time. Afterwards, we present a comprehensive study for a benchmark portfolio according to Duellmann and Masschelein (2007) and nine different risk measures in conjunction with the Euler allocation. It is empirically shown that—in principle—all risk measures are capable of identifying both sectoral and single-name concentration. However, both complexity of IT implementation and sensitivity of the risk figures w.r.t. changes of portfolio quality vary across the specific risk measures. View Full-Text
Keywords: VaR; expected shortfall; median shortfall; lambda VaR; range VaR; entropic VaR; expectile VaR; glue VaR; Wang distortion; risk measures based on benchmark loss distributions VaR; expected shortfall; median shortfall; lambda VaR; range VaR; entropic VaR; expectile VaR; glue VaR; Wang distortion; risk measures based on benchmark loss distributions
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Fischer, M.; Moser, T.; Pfeuffer, M. A Discussion on Recent Risk Measures with Application to Credit Risk: Calculating Risk Contributions and Identifying Risk Concentrations. Risks 2018, 6, 142.

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