Money and banking in a New Keynesian model∗ Monika Piazzesi Ciaran Rogers Martin Schneider Stanford & NBER Stanford Stanford & NBER March 2019 Abstract This paper studies a New Keynesian model with a banking system. As in the data, the policy instrument of the central bank is held by banks to back inside money and therefore earns a convenience yield. While interest rate policy is less powerful than in the standard model, policy rules that do not respond aggressively to inflation – such as an interest rate peg – do not lead to self-fulfilling fluctuations. Interest rate policy is stronger (and closer to the standard model) when the central bank operates a corridor system as opposed to a floor system. It is weaker when there are more nominal rigidities in banks’ balance sheets and when banks have more market power. ∗Email addresses:
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[email protected]. We thank seminar and conference participants at the Bank of Canada, Kellogg, Lausanne, NYU, Princeton, UC Santa Cruz, the RBNZ Macro-Finance Conference and the NBER SI Impulse and Propagations meeting for helpful comments and suggestions. 1 1 Introduction Models of monetary policy typically assume that the central bank sets the short nominal inter- est rate earned by households. In the presence of nominal rigidities, the central bank then has a powerful lever to affect intertemporal decisions such as savings and investment. In practice, however, central banks target interest rates on short safe bonds that are predominantly held by intermediaries.1 At the same time, the behavior of such interest rates is not well accounted for by asset pricing models that fit expected returns on other assets such as long terms bonds or stocks: this "short rate disconnect" has been attributed to a convenience yield on short safe bonds.2 This paper studies a New Keynesian model with a banking system that is consistent with key facts on holdings and pricing of policy instruments.