Search results

This paper shows that income convergence in an open-economy setting hinges upon how the time-discount rate of the households is determined. As opposed to the case of constant time-discount rate where cross-country income divergence may emerge, the small-open economy may catch up with the rest of the world if the discount rate increases with consumption. In contrast, either if the discount rate decreases with consumption or if future-oriented investment of the household lowers the time- discount rate, then the small-open economy fails to catch up with the rest of the world under free trade of commodities.

In this paper, we assume that a cash-in-advance (CIA) constraint itself depends on relative income, which implies status. This constraint means that agents with higher income are more creditworthy and can make purchases with fewer money holdings. Under this assumption, we construct a one-sector neoclassical growth model and show that there exists a unique steady state that has saddle-path stability without specifying each function. Furthermore, we examine the effects of money growth on capital accumulation. If the status elasticity of CIA constraint is large, the Tobin effect can arise. In contrast, if it is small, the anti-Tobin effect can arise.

This paper explores a one-sector AK model with a cash-in-advance (CIA) constraint that itself depends on relative income, which implies status (we call this constraint the “CIA-status constraint”). The CIA-status constraint means that agents with higher income are more creditworthy and can make purchases with fewer money holdings. Under the Clower-Lucas-type CIA-status constraint, we show that the endogenous growth rate and money growth are positively correlated. On the other hand, under the Stockman-type CIA-status constraint, we confirm that the relationship between the endogenous growth rate and money growth changes from negative to positive when the elasticity of the CIA constraint with respect to status exceeds one.