Liquidity, Quality, Production Cost, and Welfare in a Search Model of Money

This paper examines a search model of money with divisible commodities of high and low quality, while keeping the assumptions of indivisible money and unit-inventory constraint. With no direct barter and a higher fixed cost of producing high relative to low quality, an increase in the money stock encourages the production of high-quality output by trading off the larger trading opportunities against the significance of higher fixed cost. As long as the fixed-cost differential between high and low quality is sufficiently small relative to the utility gain from high-quality consumption, the quality improvement outweighs the negative effect of higher money stocks on aggregate production, and hence implies higher welfare.