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Working Paper
Closing Large Open Economy Models
A large class of international business cycle models admits multiple locally isolated deterministic steady states, if the elasticity of substitution between traded goods is sufficiently low. I explore the conditions under which such multiplicity occurs and characterize the dynamic properties in the neighborhood of each steady state. Models with standard incomplete markets, portfolio costs, a debt-elastic interest rate, or an overlapping generations framework allow for multiple steady states, if the model features multiple steady states under financial autarchy. If the excess demand for the ...
Report
Constructing Pure-Exchange Economies with Many Equilibria
We develop a restart algorithm based on Scarf’s (1973) algorithm for computing approximate Brouwer fixed points. We use the algorithm to compute all of the equilibria of a general equilibrium pure-exchange model with four consumers, four goods, and 15 equilibria. The mathematical result that motivates the algorithm is a fixed-point index theorem that provides a sufficient condition for uniqueness of equilibrium and a necessary condition for multiplicity of equilibria. Examining the structure of the model with 15 equilibria provides us with a method for constructing higher dimensional models ...
Working Paper
Implications of heterogeneity in preferences, beliefs and asset trading technologies for the macroeconomy
This paper analyzes and computes the equilibria of economies with large numbers of heterogeneous agents who have different asset trading technologies, preferences, and beliefs. We illustrate the value of our method by using it to evaluate the implications of these heterogeneities through several quantitative exercises.
Working Paper
Real and Nominal Equilibrium Yield Curves: Wage Rigidities and Permanent Shocks
The links between real and nominal bond risk premia and macroeconomic dynamics are explored quantitatively in a model with nominal rigidities and monetary policy. The estimated model captures macroeconomic and yield curve properties of the U.S. economy, implying significantly positive real term and inflation risk bond premia. In contrast to previous literature, both premia are positive and generated by wage rigidities as a compensation for permanent productivity shocks. Stronger policy-rule responses to inflation (output) increase (decrease) both premia, while policy surprises generate ...