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Working Paper
Measuring the Natural Rate of Interest: International Trends and Determinants
U.S. estimates of the natural rate of interest?the real short-term interest rate that would prevail absent transitory disturbances?have declined dramatically since the start of the global financial crisis. For example, estimates using the Laubach-Williams (2003) model indicate the natural rate in the United States fell to close to zero during the crisis and has remained there through the end of 2015. Explanations for this decline include shifts in demographics, a slowdown in trend productivity growth, and global factors affecting real interest rates. This paper applies the Laubach-Williams ...
Working Paper
The Contribution of Foreign Holdings of U.S. Treasury Securities to the U.S. Long-Term Interest Rate: An Empirical Investigation of the Impact of the Zero Lower Bound
We find empirical evidence of a possible structural break in the relationship between the foreign holdings of U.S. Treasury securities and the U.S. long-term interest rate occurring at the time when U.S. monetary policy became constrained at the zero-lower bound (ZLB). The estimated marginal effect of the foreign holdings ratio on the U.S. long-term interest rate, particularly its long-run effect, appears to have become stronger during the ZLB regime than it was before. We argue that the leading explanation of this apparent break is the nonlinearity introduced by the ZLB. Motivated by theory, ...
Working Paper
Nonlinearities, Smoothing and Countercyclical Monetary Policy
Empirical analysis of the Fed?s monetary policy behavior suggests that the Fed smooths interest rates? that is, the Fed moves the federal funds rate target in several small steps instead of one large step with the same magnitude. We evaluate the effect of countercyclical policy by estimating a Vector Autoregression (VAR) with regime switching. Because the size of the policy shock is important in our model, we can evaluate the effect of smoothing the interest rate on the path of macro variables. Our model also allows for variation in transition probabilities across regimes, depending on the ...
Working Paper
Nonlinear Budget Set Regressions for the Random Utility Model
This paper is about the nonparametric regression of a choice variable on a nonlinear budget set when there is general heterogeneity, i.e., in the random utility model (RUM). We show that utility maximization makes this a three-dimensional regression with piecewise linear, convex budget sets with a more parsimonious specification than previously derived. We show that the regression allows for measurement and/or optimization errors in the outcome variable. We characterize all of the restrictions of utility maximization on the budget set regression and show how to check these restrictions. We ...
Working Paper
National and Regional Housing Vacancy: Insights Using Markov-switching Models
We examine homeowner vacancy rates over time and space using Markov-switching models. Our theoretical analysis extends the Wheaton (1990) search and matching model for housing by incorporating regime-switching behavior and interregional spillovers. Our approach is strongly supported by our empirical results. Estimations, using constant-only as well as Vector Autoregressions, allow us to examine differences in vacancy rates as well as explore the possibility of asymmetries within and across housing markets, depending on the state/regime (e.g., low or high vacancy) of a given housing market. ...
Working Paper
Impulse Response Functions for Self-Exciting Nonlinear Models
We calculate impulse response functions from regime-switching models where the driving variable can respond to the shock. Our focus is on nonlinear vector autoregressions with a variety of specifications for the transition function used throughout the literature. Using Monte Carlo simulations with different misspecifications, we identify the conditions under which impulse response function estimates exhibit significant bias. Furthermore, we extend the concept of model-average impulse responses to this nonlinear context and demonstrate their robustness to model misspecification. Applying these ...
Working Paper
Financial variables and macroeconomic forecast errors
A large set of financial variables has only limited power to predict a latent factor common to the year-ahead forecast errors for real Gross Domestic Product (GDP) growth, the unemployment rate, and Consumer Price Index (CPI) inflation for three sets of professional forecasters: the Federal Reserve?s Greenbook, the Survey of Professional Forecasters (SPF), and the Blue Chip Consensus Forecasts. Even when a financial variable appears to be fairly robust across sample periods in explaining the latent factor, from an economic standpoint its contribution appears modest. Still, several financial ...
Working Paper
Censored Density Forecasts: Production and Evaluation
This paper develops methods for the production and evaluation of censored density forecasts. Censored density forecasts quantify forecast risks in a middle region of the density covering a specified probability, and ignore the magnitude but not the frequency of outlying observations. We propose a new estimator that fits a potentially skewed and fat-tailed density to the inner observations, acknowledging that the outlying observations may be drawn from a different but unknown distribution. We also introduce a new test for calibration of censored density forecasts. An application using ...
Working Paper
Impulse Response Functions for Self-Exciting Nonlinear Models
We calculate impulse response functions from regime-switching models where the driving variable can respond to the shock. Two methods used to estimate the impulse responses in these models are generalized impulse response functions and local projections. Local projections depend on the observed switches in the data, while generalized impulse response functions rely on correctly specifying regime process. Using Monte Carlos with different misspecifications, we determine under what conditions either method is preferred. We then extend model-average impulse responses to this nonlinear ...
Working Paper
Comparing Cross-Country Estimates of Lorenz Curves Using a Dirichlet Distribution Across Estimators and Datasets
Chotikapanich and Griffiths (2002) introduced the Dirichlet distribution to the estimation of Lorenz curves. This distribution naturally accommodates the proportional nature of income share data and the dependence structure between the shares. Chotikapanich and Griffiths (2002) fit a family of five Lorenz curves to one year of Swedish and Brazilian income share data using unconstrained maximum likelihood and unconstrained non-linear least squares. We attempt to replicate the authors' results and extend their analyses using both constrained estimation techniques and five additional years of ...