Search Results
Working Paper
Optimality and monetary equilibria in stationary overlapping generations models with long lived agents: growth versus discounting
This paper studies the relationship between the existence and optimality of a monetary steady-state and the nonoptimality of nonmonetary steady-states. We construct a sequence of stationary overlapping generations economies with longer and longer lived generations in which all agents maximize a discounted sum of utilities with a common discount rate. Under some assumptions the following result is established: If the discount rate is greater (less) than the population growth rate, then eventually every nonmonetary steady-state is optimal (non-optimal) and a monetary steady-state does not exist ...
Journal Article
On the contribution of technology shocks to business cycles
This article contends that the various measures of the contribution of technology shocks to business cycles calculated using the real business cycle modeling method are not corroborated. The article focuses on a different and much simpler method for calculating the contribution of technology shocks, which takes account of facts concerning the productivity/labor input correlation and the variability of labor input relative to output. Under several standard assumptions, the method predicts that the contribution of technology shocks must be large (at least 78 percent), that the labor supply ...
Journal Article
Response to a defense of zero inflation
This essay distills the differences between zero inflation proponents and critics to three main questions: Can the central bank make a credible commitment to maintaining a stable price level? Should monetary policy be used to reduce the tax on capital income? And would reducing uncertainty about inflation produce significant social benefits? Proponents of zero inflation answer all three questions yes, while critics answer no. The essay reviews both answers for each question and suggests that the disagreements are at least partly due to inadequacies in economic models. The essay repeats the ...
Working Paper
Money and dynamic credit arrangements with private information
The authors construct a model with private information in which consumers write dynamic contracts with financial intermediaries.
Working Paper
Optimal capital income taxation with incomplete markets, borrowing constraints, and constant discounting
For a wide class of dynamic models, Chamley (1986) has shown that the optimal capital income tax rate is zero in the long run. Lucas (1990) has argued that for the U.S. economy there is a significant welfare gain from switching to this policy. We show that for the Bewley (1986) class of models with heterogeneous agents and incomplete markets (due to uninsured idiosyncratic shocks), and borrowing constraints the optimal tax rate on capital income is positive even in the long run. Quantitative analysis of a parametric version of such a model suggests that one cannot dismiss the possibility that ...
Report
Can there be short-period deterministic cycles when people are long lived?
This paper considers whether short-period deterministic cycles can exist in a class of stationary overlapping generations models with long- (but finite-) lived agents. It shows that if agents discount the future positively, then as life spans get large, nonmonetary cycles will disappear. Further, neither constant monetary steady states nor stationary monetary cycles can exist. It also shows that if agents discount the future negatively, then there are robust examples in which constant monetary steady states as well as stationary monetary cycles (with undiminished amplitude) can occur no ...
Working Paper
Coexistence of money and interest-bearing securities
A random matching model with money is used to study the nominal yield on small denomination, bearer, safe, discount securities issued by the government. There is always one steady state with matured securities circulating at par and, for some parameters, another with them circulating at a discount. In the former, a necessary and sufficient condition for a positive nominal yield on not-yet-matured securities is exogenous discriminatory treatment of them by the government. In the latter, the post-maturity discount on securities induces a deeper pre-maturity discount even without such ...
Working Paper
The optimal quantity of debt
We describe a model for calculating the optimal quantity of debt and then apply it to the U.S. economy. The model consists of a large number of infinitely-lived households whose saving behavior is influenced by precautionary saving motives and borrowing constraints. This model incorporates a different role for government debt than the standard representative agent growth model and captures different trade-offs between the benefits and costs of varying its level. Government debt enhances the liquidity of households by providing additional assets for smoothing consumption (in addition to claims ...
Working Paper
Government transaction policy, the medium of exchange, and welfare
An interpretation of government policy regarding what it accepts in transactions is embedded in a version of the Kiyotaki-Wright model of media of exchange. In an example with two goods and one fiat money, the policies consistent with fiat money being the unique medium of exchange are identified. These uniqueness policies have the government favoring fiat money in its transactions. Benefits and costs accompany any such policy. The benefit is that a worse nonmonetary equilibrium is eliminated; the cost is that a better monetary equilibrium is also eliminated.