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We develop a structural DSGE model to systematically study the principal tools of unconventional monetary policy - quantitative easing (QE), forward guidance, and negative interest rate policy (NIRP) - as well as the interactions between them. To generate the same output response, the requisite NIRP and forward guidance interventions are twice as large as a conventional policy shock, which seems implausible in practice. In contrast, QE via an endogenous feedback rule can alleviate the constraints on conventional policy posed by the zero lower bound. Quantitatively, QE1-QE3 can account for two thirds of the observed decline in the "shadow" Federal Funds rate. In spite of its usefulness, QE does not come without cost. A large balance sheet has consequences for different normalization plans, the efficacy of NIRP, and the effective lower bound on the policy rate.
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This paper develops a New Keynesian model featuring financial intermediation, short and long term bonds, credit shocks, and scope for unconventional monetary policy. The log-linearized model reduces to four key equations - a Phillips curve, an IS equation, and policy rules for the short term nominal interest rate and the central bank's long bond portfolio (QE). The four equation model collapses to the standard three equation New Keynesian model under a simple parameter restriction. Credit shocks and QE appear in both the IS and Phillips curves. Optimal monetary policy entails adjusting the short term interest rate to offset natural rate shocks, but using QE to offset credit market disruptions. The ability of the central bank to engage in QE significantly mitigates the costs of a binding zero lower bound.
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