The paper answers three questions.(1) Does it matter if a central bank suffers a large capital loss? (2) Can the central bank become insolvent? (3) When, how and by whom should the central bank be recapitalised?

The paper studies the inflation rate associated with optimal monetary and fiscal policy in a number of standard dynamic stochastic general equilibrium models with nominal price rigidities. While the focus is on Calvo-style nominal price contracts with a range of indexation rules for constrained...