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Procyclical leverage and value-at-risk

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  • Adrian, Tobias
  • Shin, Hyun Song

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

  • Adrian, Tobias & Shin, Hyun Song, 2013. "Procyclical leverage and value-at-risk," LSE Research Online Documents on Economics 60972, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:60972
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    References listed on IDEAS

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    More about this item

    Keywords

    financial intermediary leverage; procyclicality; collateralized borrowing;

    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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