An increasing number of central banks implement monetary policy via two standing facilities: a lending facility and a deposit facility. In this paper we show that it is socially optimal to implement a non-zero interest rate spread. We prove this result in a dynamic general equilibrium model...

We construct a dynamic general equilibrium model where agents use nominal government bonds as collateral in secured lending arrangements. If the collateral constraint binds, agents price in a liquidity premium on bonds that lowers the real rate on bonds. In equilibrium, the price level is...