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We examine the implications for optimal inflation of changes in the level and maturity of government debt under the assumption where fiscal and monetary policies co-ordinate, and in the case of an independent central bank following a Taylor rule. Under co-ordination, inflation persistence and volatility depend on the sign, size and maturity of debt. Higher debt leads to higher inflation and longer maturity leads to more persistent inflation although inflation plays a minor role in achieving fiscal sustainability. Under an independent monetary authority, inflation is higher, more volatile and more persistent and plays a significant role in achieving fiscal solvency.