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Procyclical Leverage and Value-at-Risk

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  • Tobias Adrian
  • Hyun Song Shin

Abstract

The availability of credit varies over the business cycle through shifts in the leverage of financial intermediaries. Empirically, we find that intermediary leverage is negatively aligned with the banks' Value-at-Risk (VaR). Motivated by the evidence, we explore a contracting model that captures the observed features. Under general conditions on the outcome distribution given by extreme value theory (EVT), intermediaries maintain a constant probability of default to shifts in the outcome distribution, implying substantial deleveraging during downturns. For some parameter values, we can solve the model explicitly, thereby endogenizing the VaR threshold probability from the contracting problem.

Suggested Citation

  • Tobias Adrian & Hyun Song Shin, 2014. "Procyclical Leverage and Value-at-Risk," Review of Financial Studies, Society for Financial Studies, vol. 27(2), pages 373-403.
  • Handle: RePEc:oup:rfinst:v:27:y:2014:i:2:p:373-403.
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    1. Shleifer, Andrei & Vishny, Robert W, 1992. "Liquidation Values and Debt Capacity: A Market Equilibrium Approach," Journal of Finance, American Finance Association, vol. 47(4), pages 1343-1366, September.
    2. Tobias Adrian & Nina Boyarchenko, 2012. "Intermediary leverage cycles and financial stability," Staff Reports 567, Federal Reserve Bank of New York.
    3. Bengt Holmstrom & Jean Tirole, 1997. "Financial Intermediation, Loanable Funds, and The Real Sector," The Quarterly Journal of Economics, Oxford University Press, vol. 112(3), pages 663-691.
    4. Gromb, Denis & Vayanos, Dimitri, 2002. "Equilibrium and welfare in markets with financially constrained arbitrageurs," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 361-407.
    5. Innes, Robert D., 1990. "Limited liability and incentive contracting with ex-ante action choices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 45-67, October.
    6. Zhiguo He & Arvind Krishnamurthy, 2013. "Intermediary Asset Pricing," American Economic Review, American Economic Association, vol. 103(2), pages 732-770, April.
    7. Koehn, Michael & Santomero, Anthony M, 1980. "Regulation of Bank Capital and Portfolio Risk," Journal of Finance, American Finance Association, vol. 35(5), pages 1235-1244, December.
    8. Markus K. Brunnermeier & Lasse Heje Pedersen, 2009. "Market Liquidity and Funding Liquidity," Review of Financial Studies, Society for Financial Studies, vol. 22(6), pages 2201-2238, June.
    9. Tobias Adrian & Nina Boyarchenko, 2012. "Intermediary leverage cycles and financial stability," Staff Reports 567, Federal Reserve Bank of New York, revised 01 Feb 2015.
    10. Myers, Stewart C. & Majluf, Nicolás S., 1945-, 1984. "Corporate financing and investment decisions when firms have information that investors do not have," Working papers 1523-84., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    11. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    12. Kim, Daesik & Santomero, Anthony M, 1988. " Risk in Banking and Capital Regulation," Journal of Finance, American Finance Association, vol. 43(5), pages 1219-1233, December.
    13. Gorton, Gary & Metrick, Andrew, 2012. "Securitized banking and the run on repo," Journal of Financial Economics, Elsevier, vol. 104(3), pages 425-451.
    14. Stewart C. Myers & Nicholas S. Majluf, 1984. "Corporate Financing and Investment Decisions When Firms Have InformationThat Investors Do Not Have," NBER Working Papers 1396, National Bureau of Economic Research, Inc.
    15. Myers, Stewart C. & Majluf, Nicholas S., 1984. "Corporate financing and investment decisions when firms have information that investors do not have," Journal of Financial Economics, Elsevier, vol. 13(2), pages 187-221, June.
    16. Jensen, Michael C. & Meckling, William H., 1976. "Theory of the firm: Managerial behavior, agency costs and ownership structure," Journal of Financial Economics, Elsevier, vol. 3(4), pages 305-360, October.
    17. Xiong, Wei, 2001. "Convergence trading with wealth effects: an amplification mechanism in financial markets," Journal of Financial Economics, Elsevier, vol. 62(2), pages 247-292, November.
    18. Chiesa, Gabriella, 2001. "Incentive-Based Lending Capacity, Competition and Regulation in Banking," Journal of Financial Intermediation, Elsevier, vol. 10(1), pages 28-53, January.
    19. Rochet, Jean-Charles, 1992. "Capital requirements and the behaviour of commercial banks," European Economic Review, Elsevier, vol. 36(5), pages 1137-1170, June.
    20. Shleifer, Andrei & Vishny, Robert W, 1997. "The Limits of Arbitrage," Journal of Finance, American Finance Association, vol. 52(1), pages 35-55, March.
    21. Adrian, Tobias & Shin, Hyun Song, 2010. "Liquidity and leverage," Journal of Financial Intermediation, Elsevier, vol. 19(3), pages 418-437, July.
    22. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
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    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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