We formulate a representative consumer model of intertemporal resource reallocation in which fluctuations in equity prices contribute to the smoothing of consumption flows. Features of the model include (a) an incompletely observable stochastic process of productivity shocks leading to fluctuating confidence of beliefs and (b) technologies involving commitments of a resource good. These features are exploited to show that (1) equities are not a representative form of total wealth and (2) the valuation of currently active firms is not representative of the valuation of all firms. We examine the implications of (1) and (2) to argue that empirical findings for the volatility and 'value shortfall' of equity prices may be consistent with a frictionless representative consumer model having a low degree of risk-aversion. Simulation of a calibrated version of the model for a risk-neutral consumer shows that when the 'data' is analyzed according to current econometric procedures, it is found to exhibit volatility of the same order of magnitude as that found in the actual data, although the model contains no excess volatility.
This paper develops a dynamic model of general imperfect competition by embedding the Shapley-Shubik model of market games into an overlapping generations framework. Existence of an open market equilibrium where there is trading at each post is demonstrated when there are an arbitrary (finite) number of commodities in each period and an arbitrary (finite) number of consumers in each generation. The open market equilibria are fully characterized when there is a single consumption good in each period and it is shown that stationary open market equilibria exist if endowments are not Pareto optimal. Two examples are also given. The first calculates the stationary equilibrium in an economy, and the second shows that the on replicating the economy the stationary equilibria converge to the unique non-autarky stationary equilibrium in the corresponding Walrasian overlapping generations economy. Preliminary on-going work indicates the possibility of cycles and other fluctuations even in the log-linear economy.
We examine price formation in a simple static model with asymmetric information, a countable number of risk neutral traders and without noise traders. Prices can exhibit excess volatility (the variance of prices exceeds the variance of dividends), even in such a simple model. More generally, we show that for an open set of parameter values no equilibrium has prices which turn out to equal the value of dividends state by state, while for another open set of parameter values there exist equilibria such that equilibrium prices equal the value of dividends state by state. When information collection is endogenous and costly, expected prices exhibit a "V-shape" as a function of the cost of information: They are maximized when information is either costless so that everyone acquires it, or else is so costly that no one chooses to acquire it. Prices are depressed if information is cheap enough so that some agents become informed, while others do not. If the model is altered so that information is useful in making productive decisions, then the V-shape is altered, reducing the attractiveness of prohibitively high costs.
Different monetary aggregates covary very differently with short term nominal interest rates. Broad monetary aggregates like Ml and the monetary base covary positively with current and future values of short term interest rates. In contrast, the nonborrowed reserves of banks covary negatively with current and future interest rates. Observations like this 'sign switch' lie at the core of recent debates about the effects of monetary policy actions on short term interest rates. This paper develops a general equilibrium monetary business cycle model which is consistent with these facts. Our basic explanation of the 'sign switch' is that movements in nonborrowed reserves are dominated by exogenous shocks to monetary policy, while movements in the base and Ml are dominated by endogenous responses to non-policy shocks.
We examine the conditions under which steady states with low real interest rates—real rates substantially below the output growth rate—exist in an overlapping generations model with production, capital accumulation, a labor-leisure trade-off, technological progress, and agents who live for many periods. The number of periods in an agent's life (n) is left open for much of the analysis and determines the temporal interpretation of a time period. The qualitative properties of the model are largely invariant to different values of n. We find that two low real interest rate steady states exist for empirically plausible values of the parameters of the model. Outside liabilities such as fiat currency or unbacked government debt are valued in one of these steady states.
In this paper a dynamic model is constructed in which labor and capital taxes are determined endogenously through majority voting. The wealth distribution of the economy is shown to influence the voting behavior, and hence the equilibrium levels of the tax rates, which in turn affect the future distribution of wealth. It is shown that the economy exhibits a unique dynamic behavior. Because of the endogenously determined taxes, the asset prices, wealth distribution, and the tax rates can display persistent fluctuations, and even limit cycles, in reaction to exogenous disturbances, or even due to initial conditions. It is also shown that "tax smoothing" does not necessarily appear to naturally arise in such a model, as the economy can display extreme fluctuations in the endogenously determined tax rates.
A cash-in-advance model with sequential markets is constructed, where unanticipated monetary injections are nonneutral and can potentially produce large liquidity effects. However, if the monetary authority adheres to an optimal money rule, money should not respond to unanticipated shocks, so that a Friedman rule is suboptimal and the monetary authority does not exploit the liquidity effect. Quantitatively, the model can generate variability in money and nominal interest rates close to what is observed, and can produce data with no obvious evidence of the existence of liquidity effects.