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We revisit the Friedman rule in a labor search model and extend Heer (2003), Cooley and Quadrini (2004), and Wang and Xie (2013) to one that allows for endogenous growth. We show that, even without a liquidity effect or a CIA constraint on firms' wage payment, our model offers a different channel for moderate money growth to increase welfare. Intuitively, in a one-sector endogenous growth economy, the technology is of constant returns with respect to capital. When the labor market is frictional, a moderate increase in money growth induces an expansion in vacancy and employment. Labor and capital are complements in production. With an increase in employment, when the technology is neoclassical, the decreasing return in capital leads to a lower marginal product of labor. However, in an endogenous growth framework wherein the technology exhibits socially constant returns in capital, the marginal product of labor is constant. Due to a constant marginal product of labor, modest inflation raises employment, enlarges economic growth, and increases welfare. Moreover, the optimal long-run inflation rate departs from the Friedman rule, even when the Hosios rule holds. Finally, we find that our model with sustainable growth fits the data better than that without sustainable growth. [ABSTRACT FROM AUTHOR]

Evidence indicates that consumer durables are more flexibly priced than nondurable goods and services. In otherwise standard two-sector neoclassical sticky-price models with flexible durable prices, following monetary tightening, nondurables decrease but consumer durables increase. Friction in lending between households can resolve the comovement problem if durable prices are sticky. However, if durable prices are flexible, friction in lending fails to generate joint decline. This paper resolves the co-movement problem by adding capital into a model with flexible durable prices and friction in lending. When capital is needed in production, monetary tightening reduces the relative price of durables which induces investment and decreases firms' real profits in the short run. Due to fewer profits remitted from firms, savers have a lower disposable income and cannot increase expenditures on consumer durables as much as otherwise. As a consequence, aggregate consumer durables decrease and there is a joint decline of nondurables and consumer durables.