Creator: Den Haan, Wouter J., 1962- Series: Macroeconomics with heterogenous agents, incomplete markets, liquidity constraints, and transaction costs Abstract:
This paper is part of a project to model the interaction between heterogeneous agents in intertemporal stochastic models and to develop numerical algorithms to solve these kind of models. It is well-known that solving dynamic heterogeneous agent models is a challenging problem, since in these models the distribution of wealth and other characteristics evolve endogenously over time. Existing dynamic models in the literature contain therefore just two agents or other simplifying assumptions to limit the heterogeneity.
Subject (JEL): D52 - General equilibrium and disequilibrium - Incomplete markets and C63 - Mathematical methods and programming - Computational techniques ; Simulation modeling
Creator: Den Haan, Wouter J., 1962- Series: Nonlinear rational expectations modeling group Abstract:
The objective of this paper is to investigate whether, in a Sidrauski type model with uncertainty, welfare maximization calls for following the famous "Chicago Rule". This question will be answered in the affirmative in this paper, i.e. social welfare optimization calls for a zero nominal interest rate on one-period bonds. The zero nominal interest rate, however, does not imply in an uncertain world that there is no systematic difference between the expected rate of deflation and the rate of time preference in an economy without growth. The magnitude of this difference turns out to be small, however. Numerical welfare comparisons are made between the optimal policy and policies in which the growth rate of money is fixed. The optimal policy requires that the monetary authorities react every period to the available information and they choose a growth level of the money stock that will set the interest rate equal to zero. If we compare the time paths of the real variables under the optimal policy with the time paths if the money supply decreases at a rate equal to the rate of time preference, then we see hardly any differences. The price dynamics can be very different, however. The paper also investigates the issue of superneutrality and finds that the quantitative deviations from superneutrality are substantial if a model with a shopping time technology is used. The neo-classical models in this paper are solved numerically using a technique developed in Marcet (1988).
Subject (JEL): E31 - Prices, business fluctuations, and cycles - Price level ; Inflation ; Deflation and E52 - Monetary policy, central banking, and the supply of money and credit - Monetary policy
Creator: Christiano, Lawrence J. and Den Haan, Wouter J., 1962- Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 199 Abstract:
We investigate, by Monte Carlo methods, the finite sample properties of GMM procedures for conducting inference about statistics that are of interest in the business cycle literature. These statistics include the second moments of data filtered using the first difference and Hodrick-Prescott filters, and they include statistics for evaluating model fit. Our results indicate that, for the procedures considered, the existing asymptotic theory is not a good guide in a sample the size of quarterly postwar U.S. data.
Keyword: Monte Carlo simulation, Covariance matrix estimation, Finite-sample analysis, Prewhitening, Hypothesis testing, and Spectral density