Multinomial Backtesting of Distortion Risk Measures

49 Pages Posted: 17 Feb 2022

See all articles by Stefan Weber

Stefan Weber

Leibniz Universität Hannover - House of Insurance

Sojung Kim

affiliation not provided to SSRN

Sören Bettels

affiliation not provided to SSRN

Abstract

We extend the scope of risk measures for which backtesting models are available by proposing a multinomial backtesting method for general distortion risk measures. The method relies on a stratification and randomization of risk levels. We illustrate the performance of our methods in numerical case studies.

Keywords: Distortion Risk Measures, Backtesting, Multinomial Tests, Solvency Capital, Internal Models

Suggested Citation

Weber, Stefan and Kim, Sojung and Bettels, Sören, Multinomial Backtesting of Distortion Risk Measures. Available at SSRN: https://ssrn.com/abstract=4009731 or http://dx.doi.org/10.2139/ssrn.4009731

Stefan Weber (Contact Author)

Leibniz Universität Hannover - House of Insurance ( email )

Welfengarten 1
Hannover, DE 30167
Germany

HOME PAGE: http://www.insurance.uni-hannover.de/weber/

Sojung Kim

affiliation not provided to SSRN ( email )

No Address Available

Sören Bettels

affiliation not provided to SSRN ( email )

No Address Available

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