We study whether it is desirable for the central bank to supply reserves abundantly, i.e. beyond the level that satisfies financial institutions’ aggregate liquidity needs. Using a theoretical framework, we demonstrate that abundant reserves would help fulfil the private sector’s demand for safe and liquid assets, because reserves affect financial institutions’ leverage constraints. More specifically, systematic central bank purchases of medium-term government bonds from financial institutions would relax those institutions’ leverage constraints and allow them to expand their balance sheets and issue more private liquidity, in the form of deposits. However, a very large increase in the average size of its balance sheet would expose the central bank to the risk of large financial losses. On balance, only amoderately larger supply of reserves than the level that satisfies financial institutions’ aggregate liquidity needs appears desirable.