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CoVaR

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Author Info
Tobias Adrian
Markus K. Brunnermeier

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Abstract

We define CoVaR as the value at risk (VaR) of financial institutions conditional on other institutions being in distress. The increase of CoVaR relative to VaR measures spillover risk among institutions. We estimate CoVaR using quantile regressions and document significant CoVaR increases among financial institutions. We identify six risk factors that allow institutions to offload tail risk and show that such hedging reduces the wedge between CoVaR and VaR. We argue that financial institutions should report CoVaR in addition to VaR, and we draw implications for risk management, regulation, and systemic risk. We define co-expected shortfall as a sum of CoVaRs.

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Paper provided by Federal Reserve Bank of New York in its series Staff Reports with number 348.

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Date of creation: 2008
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Handle: RePEc:fip:fednsr:348

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Related research
Keywords: Risk ; Risk management ; Financial institutions;

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  1. Tobias Adrian, 2007. "Measuring risk in the hedge fund sector," Current Issues in Economics and Finance, Federal Reserve Bank of New York, issue Mar. [Downloadable!]
  2. Fung, William & Hsieh, David A, 1997. "Empirical Characteristics of Dynamic Trading Strategies: The Case of Hedge Funds," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 10(2), pages 275-302.
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  4. King, Mervyn A & Wadhwani, Sushil, 1990. "Transmission of Volatility between Stock Markets," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 3(1), pages 5-33. [Downloadable!] (restricted)
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  5. Len Umantsev & Victor Chernozhukov, 2001. "Conditional value-at-risk: Aspects of modeling and estimation," Empirical Economics, Springer, vol. 26(1), pages 271-292. [Downloadable!] (restricted)
  6. Kristin J. Forbes & Roberto Rigobon, 2002. "No Contagion, Only Interdependence: Measuring Stock Market Comovements," Journal of Finance, American Finance Association, vol. 57(5), pages 2223-2261, October. [Downloadable!] (restricted)
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  7. Getmansky, Mila & Lo, Andrew W. & Makarov, Igor, 2004. "An econometric model of serial correlation and illiquidity in hedge fund returns," Journal of Financial Economics, Elsevier, vol. 74(3), pages 529-609, December. [Downloadable!] (restricted)
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  8. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January. [Downloadable!] (restricted)
  9. Arturo Estrella & Gikas A. Hardouvelis, 1989. "The term structure as a predictor of real economic activity," Research Paper 8907, Federal Reserve Bank of New York.
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  10. Brunnermeier, Markus K & Pedersen, Lasse Heje, 2007. "Market Liquidity and Funding Liquidity," CEPR Discussion Papers 6179, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  11. de Vries, Casper G & Hartmann, Philipp & Straetmans, Stefan, 2001. "Asset Market Linkages in Crisis Periods," CEPR Discussion Papers 2916, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  12. Gilbert W. Bassett Jr. & Hsiu-Lang Chen, 2001. "Portfolio style: Return-based attribution using quantile regression," Empirical Economics, Springer, vol. 26(1), pages 293-305. [Downloadable!] (restricted)
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  14. Carl Ackermann & Richard McEnally & David Ravenscraft, 1999. "The Performance of Hedge Funds: Risk, Return, and Incentives," Journal of Finance, American Finance Association, vol. 54(3), pages 833-874, 06. [Downloadable!] (restricted)
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  16. William Fung & David A. Hsieh & Narayan Y. Naik & Tarun Ramadorai, 2008. "Hedge Funds: Performance, Risk, and Capital Formation," Journal of Finance, American Finance Association, vol. 63(4), pages 1777-1803, 08. [Downloadable!] (restricted)
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  17. Albert S. Kyle, 2001. "Contagion as a Wealth Effect," Journal of Finance, American Finance Association, vol. 56(4), pages 1401-1440, 08. [Downloadable!] (restricted)
  18. Fung, William & Hsieh, David A, 2001. "The Risk in Hedge Fund Strategies: Theory and Evidence from Trend Followers," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 14(2), pages 313-41.
  19. Stephen J. Brown & William N. Goetzmann & Roger G. Ibbotson, 1997. "Offshore Hedge Funds: Survival and Performance 1989-1995," NBER Working Papers 5909, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  20. Markus K. Brunnermeier & Stefan Nagel, 2004. "Hedge Funds and the Technology Bubble," Journal of Finance, American Finance Association, vol. 59(5), pages 2013-2040, October. [Downloadable!] (restricted)
  21. Robert F. Engle & Simone Manganelli, 2004. "CAViaR: Conditional Autoregressive Value at Risk by Regression Quantiles," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 367-381, October. [Downloadable!] (restricted)
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  22. Fama, Eugene F. & French, Kenneth R., 1989. "Business conditions and expected returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 25(1), pages 23-49, November. [Downloadable!] (restricted)
  23. Tobias Adrian & Hyun Song Shin, 2008. "Financial intermediary leverage and value at risk," Staff Reports 338, Federal Reserve Bank of New York. [Downloadable!]
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