Leverage, Investment, and Optimal Monetary Policy

We study optimal monetary policy in an economy where the debt overhang of firms leads to underinvestment and underproduction. The magnitude of this debt-induced distortion varies over the business cycle, rising significantly during recessions. When debt is contracted in nominal terms, this distortion gives rise to a balance sheet channel for monetary policy. In the presence of real and financial shocks, the monetary authority faces a trade-off between inflation and output gap stabilization. The optimal monetary policy rule prescribes that the anticipated component of inflation should be set equal to a target level, while the unanticipated component should rise in response to adverse shocks, smoothing the debt overhang distortion and the output gap.