Procyclical Leverage and Value-at-Risk

Working Paper: NBER ID: w18943

Authors: 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.

Keywords: Procyclical Leverage; Value-at-Risk; Financial Intermediaries; Business Cycle

JEL Codes: G21; G32


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
intermediary leverage (G32)banks' value-at-risk (VaR) (G21)
contracting environment (M55)leverage behavior (D22)
leverage adjustments (F32)probability of default (G33)
VaR (C29)probability of default (G33)
intermediary leverage (G32)probability of default (G33)

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