Creator: Aiyagari, S. Rao. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Dept.) Number: 328 Abstract:
One purpose of this article is to exposit the relationship between life cycle models (with constructive immortality) and infinitely lived agents models. We use this to point out problems in interpreting data, especially with regard to the use of interest rates in the class of representative agent models when growth in population and per capita variables is taken into account. We also point out some common misconceptions regarding the "volume of trade" in representative agent models and show how to reconcile the savings profile of the representative agent with the life cycle savings profile in a life cycle model.
Keyword: Infinitely lived agents, Volume of trade, Representative agent models, Calibration, and Bequests Subject (JEL): D91 - Intertemporal choice and growth - Intertemporal consumer choice ; Life cycle models and saving
Creator: Aiyagari, S. Rao. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Dept.) Number: 319 Abstract:
We consider the existence of deterministically cycling steady state equilibria in a class of stationary overlapping generations models with sufficiently long (but, finite) lived agents. Preferences are of the discounted sum of utilities type with a fixed discount rate. Utility functions with large coefficients of relative risk aversion which generate strong income effects (relative to substitution effects) and backward bending offer curves are permitted. Lifetime endowment patterns are quite arbitrary. We show that if agents have a positive discount rate, then as agents1 lifespans get large, short period non-monetary cycles will disappear. Further, constant monetary steady states do not exist and therefore, neither do stationary monetary cycles of any period. We then consider the case where agents have a negative discount rate and show that there are robust examples in which constant monetary steady states as well as stationary monetary cycles (with undiminished amplitude) can occur no matter how long agents live.
Keyword: Longevity, Business cycles, Intertemporal choice, and Monetary theory Subject (JEL): D91 - Intertemporal choice and growth - Intertemporal consumer choice ; Life cycle models and saving and N10 - Macroeconomics and monetary economics ; Growth and fluctuations - General, international, or comparative