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Stressing Correlations and Volatilities – A Consistent Modeling Approach

29 Pages Posted: 18 Sep 2011  

Christoph Becker

University of Applied Sciences Darmstadt

Wolfgang M. Schmidt

Frankfurt School of Finance & Management

Date Written: September 16, 2011

Abstract

We propose a new approach to the definition of stress scenarios for volatilities and correlations. Correlations and volatilities depend on a common market factor, which is the key to stressing them in a consistent and intuitive way. Our approach is based on a new asset price model where correlations and volatilities depend on the current state of the market, which captures market-wide movements in equity-prices. For sample portfolios we compare correlations and volatilities in a normal market and under stress and explore consequences for value-at-risk.

We compare our modeling approach with multivariate GARCH models. For all data analyzed our model performs well in capturing the dynamics of volatilities and correlations.

Keywords: Correlation, Volatility, Basel III, GARCH Models

JEL Classification: C13, C32, C58, G11, G12

Suggested Citation

Becker, Christoph and Schmidt, Wolfgang M., Stressing Correlations and Volatilities – A Consistent Modeling Approach (September 16, 2011). Available at SSRN: https://ssrn.com/abstract=1928975 or http://dx.doi.org/10.2139/ssrn.1928975

Christoph Becker (Contact Author)

University of Applied Sciences Darmstadt ( email )

Schöfferstrasse 3
Darmstadt, 64295
Germany

Wolfgang M. Schmidt

Frankfurt School of Finance & Management ( email )

Sonnemannstraße 9-11
Frankfurt am Main, 60314
Germany

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