Stress testing correlation matrices for risk management
Evaluating portfolio risk typically requires that correlation estimates of security returns be made. Historical financial events have shown that correlations can rise quickly, causing a huge increase in portfolio risk. Therefore, in stress testing portfolios, it is important to consider the influence of a sudden surge in selected correlations. Standard correlation stress testing mechanisms require us to change the selected correlations to designated values. However, the correlation matrix may become non-positive definite after some of its entries are altered. This paper proposes a blocking method by which an existing correlation matrix can be converted to incorporate change while keeping the matrix positive definite. In comparison with existing methods that usually only achieve semi-positive definiteness, the proposed method outperforms in the revised elements, while the approximation error of the non-revised elements is maintained within acceptable levels. Simulations show that our method is efficient and performs well for dimensions of 100, 500 and 1000. Our method is also shown to be more reliable in stress testing higher dimension correlation matrices. Information on the performance of the blocking method using a high-dimensional real data is also provided.
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Volume (Year): 26 (2013)
Issue (Month): C ()
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- Chang, Chia-Lin & McAleer, Michael & Tansuchat, Roengchai, 2013.
"Conditional correlations and volatility spillovers between crude oil and stock index returns,"
The North American Journal of Economics and Finance,
Elsevier, vol. 25(C), pages 116-138.
- Chia-Lin Chang & Michael McAleer & Roengchai Tansuchat, 2010. "Conditional Correlations and Volatility Spillovers Between Crude Oil and Stock Index Returns," KIER Working Papers 715, Kyoto University, Institute of Economic Research.
- Chia-Lin Chang & Michael McAleer & Roengchai Tansuchat, 2011. "Conditional Correlations and Volatility Spillovers Between Crude Oil and Stock Index Returns," Documentos de Trabajo del ICAE 2011-34, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
- Roengchai Tansuchat & Chia-Lin Chang & Michael McAleer, 2010. "Conditional Correlations and Volatility Spillovers Between Crude Oil and Stock Index Returns," CIRJE F-Series CIRJE-F-706, CIRJE, Faculty of Economics, University of Tokyo.
- Roengchai Tansuchat & Chia-Lin Chang & Michael McAleer, 2010. "Conditional Correlations and Volatility Spillovers Between Crude Oil and Stock Index Returns," Working Papers in Economics 10/04, University of Canterbury, Department of Economics and Finance.
- Tansuchat, R. & Chang, C-L. & McAleer, M.J., 2010. "Conditional Correlations and Volatility Spillovers Between Crude Oil and Stock Index Returns," Econometric Institute Research Papers EI 2010-12, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Roengchai Tansuchat & Chia-Lin Chang & Michael McAleer, 2010. "Conditional Correlations and Volatility Spillovers Between Crude Oil and Stock Index Returns," CARF F-Series CARF-F-202, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
- Vineer Bhansali & Mark B. Wise, 2001. "Forecasting Portfolio Risk in Normal and Stressed Markets," Papers nlin/0108022, arXiv.org, revised Sep 2001.
- Jeremy Berkowitz, 1999. "A coherent framework for stress-testing," Finance and Economics Discussion Series 1999-29, Board of Governors of the Federal Reserve System (U.S.).
- Tan, Kok-Hui & Chan, Inn-Leng, 2003. "Stress testing using VaR approach--a case for Asian currencies," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 13(1), pages 39-55, February.
- Alexander, Carol & Sheedy, Elizabeth, 2008. "Developing a stress testing framework based on market risk models," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2220-2236, October.
- Tse, Y K & Tsui, Albert K C, 2002. "A Multivariate Generalized Autoregressive Conditional Heteroscedasticity Model with Time-Varying Correlations," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 351-362, July. Full references (including those not matched with items on IDEAS)