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It is well-known that in the monetary OLG models, a deviation from the Friedman rule can improve welfare because it generates intergenerational wealth transfers; however, the rule becomes optimal if the age-specific lump-sum tax policy is available. We revisit the issue using a microfounded model of money with centralized and decentralized markets. The individuals live for two periods. The young individuals work, receive wage income and hold money and capital in the centralized market. They also trade goods in the decentralized markets either as a buyer or a seller. Only money is accepted as a means of payment in the decentralized markets. The old individuals consume all their wealth in the centralized market. The quantity in the decentralized market negatively depends on the seller’s wealth, because the marginal utility of consumption in the centralized market is diminishing, but the buyer takes it as exogenous. Therefore, the equilibrium wealth exceeds the socially optimal level under the Friedman rule. A positive nominal interest rate makes money holdings costly, reduces wealth and improves welfare, even if the government optimally uses the age-specific tax.

Optimal Monetary Policy in an Overlapping Generations Model with Search Theoretic Monetary Exchange