Search Results
Working Paper
Piecewise-Linear Approximations and Filtering for DSGE Models with Occasionally Binding Constraints
We develop an algorithm to construct approximate decision rules that are piecewise-linear and continuous for DSGE models with an occasionally binding constraint. The functional form of the decision rules allows us to derive a conditionally optimal particle filter (COPF) for the evaluation of the likelihood function that exploits the structure of the solution. We document the accuracy of the likelihood approximation and embed it into a particle Markov chain Monte Carlo algorithm to conduct Bayesian estimation. Compared with a standard bootstrap particle filter, the COPF significantly ...
Working Paper
Ties That Bind: Estimating the Natural Rate of Interest for Small Open Economies
This paper estimates the natural interest rate for six small open economies (Australia, Canada, South Korea, Sweden, Switzerland and the U.K.) with a structural New Keynesian model using Bayesian techniques. Our empirical analysis establishes the following four novel findings: First, we show that the open-economy framework provides a better fit of the data than its closed-economy counterpart for the six countries we investigate. Second, we also show that, in all six countries, a monetary policy rule in which the domestic real policy rate tracks the Wicksellian domestic short-term natural rate ...
Working Paper
Estimating Macroeconomic Models of Financial Crises: An Endogenous Regime-Switching Approach
We estimate a workhorse DSGE model with an occasionally binding borrowing constraint. First, we propose a new specification of the occasionally binding constraint, where the transition between the unconstrained and constrained states is a stochastic function of the leverage level and the constraint multiplier. This specification maps into an endogenous regime-switching model. Second, we develop a general perturbation method for the solution of such a model. Third, we estimate the model with Bayesian methods to fit Mexico's business cycle and financial crisis history since 1981. The estimated ...
Working Paper
Identifying News Shocks with Forecast Data
The empirical importance of news shocks?anticipated future shocks?in business cycle fluctuations has been explored by using only actual data when estimating models augmented with news shocks. This paper additionally exploits forecast data to identify news shocks in a canonical dynamic stochastic general equilibrium model. The estimated model shows new empirical evidence that technology news shocks are a major source of fluctuations in U.S. output growth. Exploiting the forecast data not only generates more precise estimates of news shocks and other parameters in the model, but also increases ...
Working Paper
Ties That Bind: Estimating the Natural Rate of Interest for Small Open Economies
This paper estimates the natural rate of interest for six small open economies (Australia, Canada, South Korea, Sweden, Switzerland and the U.K.) with a structural New Keynesian model using Bayesian techniques. Our empirical analysis establishes the following four main findings: First, we show that the open economy framework provides a better fit of the data than its closed economy counterpart for the six countries we investigate. Second, we also show that, in all six countries, a Taylor (1993)-type monetary policy rule that tracks the Wicksellian short-term natural rate fits the data better ...
Working Paper
Get the Lowdown: The International Side of the Fall in the U.S. Natural Rate of Interest
I investigate the downward drift of U.S. interest rates from 1984:Q1 to 2019:Q4. For this, I bring the workhorse two-country New Keynesian model to data on the U.S. and an aggregate of its major trading partners using Bayesian techniques. I show that the U.S. natural (or equilibrium) interest rate recovered from the model has fallen more gradually than the long-run U.S. real rate, cushioned by productivity shocks. Since inflation expectations became well-anchored in the ‘90s, this implies that the continued interest rate decline is largely explained by the real rate tracking the natural ...
Working Paper
How To Go Viral: A COVID-19 Model with Endogenously Time-Varying Parameters
This paper estimates a panel model with endogenously time-varying parameters for COVID-19 cases and deaths in U.S. states. The functional form for infections incorporates important features of epidemiological models but is flexibly parameterized to capture different trajectories of the pandemic. Daily deaths are modeled as a spike-and-slab regression on lagged cases. The paper's Bayesian estimation reveals that social distancing and testing have significant effects on the parameters. For example, a 10 percentage point increase in the positive test rate is associated with a 2 percentage point ...
Working Paper
Indeterminacy and Learning: An Analysis of Monetary Policy in the Great Inflation
We argue in this paper that the Great Inflation of the 1970s can be understood as the result of equilibrium indeterminacy in which loose monetary policy engendered excess volatility in macroeconomic aggregates and prices. We show, however, that the Federal Reserve inadvertently pursued policies that were not anti-inflationary enough because it did not fully understand the economic environment it was operating in. Specifically, it had imperfect knowledge about the structure of the U.S. economy and it was subject to data misperceptions. The real-time data flow at that time did not capture the ...
Working Paper
Mis-specified Forecasts and Myopia in an Estimated New Keynesian Model
The paper considers a New Keynesian framework in which agents form expectations based on a combination of autoregressive mis-specified forecasts and myopia. The proposed expectations formation process is shown to be consistent with all three empirical facts on consensus inflation forecasts. However, while mis-specified forecasts can be both sufficient and necessary to match all three facts, myopia alone is neither. The paper then derives the general equilibrium solution consistent with the proposed expectations formation process and estimates the model with likelihood-based Bayesian methods, ...
Working Paper
A Likelihood-Based Comparison of Macro Asset Pricing Models
We estimate asset pricing models with multiple risks: long-run growth, long-run volatility, habit, and a residual. The Bayesian estimation accounts for the entire likelihood of consumption, dividends, and the price-dividend ratio. We find that the residual represents at least 80% of the variance of the price-dividend ratio. Moreover, the residual tracks most recognizable features of stock market history such as the 1990's boom and bust. Long run risks and habit contribute primarily in crises. The dominance of the residual comes from the low correlation between asset prices and consumption ...