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Author:Aruoba, S. Boragan 

Working Paper
Real-time measurement of business conditions

We construct a framework for measuring economic activity at high frequency, potentially in real time. We use a variety of stock and flow data observed at mixed frequencies (including very high frequencies), and we use a dynamic factor model that permits exact filtering. We illustrate the framework in a prototype empirical example and a simulation study calibrated to the example.
Working Papers , Paper 08-19

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 Papers , Paper 20-13

Working Paper
Optimal fiscal and monetary policy when money is essential

We study optimal fiscal and monetary policy in an environment where explicit frictions give rise to valued money, making money essential in the sense that it expands the set of feasible trades. Our main results are in stark contrast to the prescriptions of earlier flexible-price Ramsey models. Two especially important findings emerge from our work: the Friedman Rule is typically not optimal and inflation is stable over time. Inflation is not a substitute instrument for a missing tax, as is sometimes the case in standard Ramsey models. Rather, the inflation tax is exactly the right tax to use ...
International Finance Discussion Papers , Paper 880

Working Paper
Macroeconomic Dynamics Near the ZLB : A Tale of Two Countries

We compute a sunspot equilibrium in an estimated small-scale New Keynesian model with a zero lower bound (ZLB) constraint on nominal interest rates and a full set of stochastic fundamental shocks. In this equilibrium a sunspot shock can move the economy from a regime in which inflation is close to the central bank's target to a regime in which the central bank misses its target, inflation rates are negative, and interest rates are close to zero with high probability. A nonlinear filter is used to examine whether the U.S. in the aftermath of the Great Recession and Japan in the late 1990s ...
International Finance Discussion Papers , Paper 1163

Working Paper
Money and capital: a quantitative analysis

We study the effects of money (anticipated inflation) on capital formation. Previous papers on this topic adopt reduced-form approaches, putting money in the utility function or imposing cash in advance, but use otherwise frictionless models. We follow a literature that is more explicit about the frictions making money essential. This introduces several new elements, including a two-sector structure with centralized and decentralized markets, stochastic trading opportunities, and bargaining. We show how these elements matter qualitatively and quantitatively. Our numerical results differ from ...
Working Papers , Paper 2009-031

Working Paper
Assessing DSGE model nonlinearities

We develop a new class of nonlinear time-series models to identify nonlinearities in the data and to evaluate nonlinear DSGE models. U.S. output growth and the federal funds rate display nonlinear conditional mean dynamics, while inflation and nominal wage growth feature conditional heteroskedasticity. We estimate a DSGE model with asymmetric wage/price adjustment costs and use predictive checks to assess its ability to account for nonlinearities. While it is able to match the nonlinear inflation and wage dynamics, thanks to the estimated downward wage/price rigidities, these do not spill ...
Working Papers , Paper 13-47

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 reduces ...
International Finance Discussion Papers , Paper 1272

Working Paper
Real-time measurement of business conditions

We construct a framework for measuring economic activity in real time (e.g., minute-by-minute), using a variety of stock and flow data observed at mixed frequencies. Specifically, we propose a dynamic factor model that permits exact filtering, and we explore the efficacy of our methods both in a simulation study and in a detailed empirical example.
International Finance Discussion Papers , Paper 901

Working Paper
Real-time macroeconomic monitoring: real activity, inflation, and interactions

The authors sketch a framework for monitoring macroeconomic activity in real-time and push it in new directions. In particular, they focus not only on real activity, which has received most attention to date, but also on inflation and its interaction with real activity. As for the recent recession, the authors find that (1) it likely ended around July 2009; (2) its most extreme aspects concern a real activity decline that was unusually long but less unusually deep, and an inflation decline that was unusually deep but brief; and (3) its real activity and inflation interactions were strongly ...
Working Papers , Paper 10-5

Report
Term Structures of Inflation Expectations and Real Interest Rates: The Effects of Unconventional Monetary Policy

Inflation expectations have recently received increased interest because of the uncertainty created by the Federal Reserve?s unprecedented reaction to the Great Recession. The effect of this reaction on the real economy is also an important topic. In this paper I use various surveys to produce a term structure of inflation expectations ? inflation expectations at any horizon from 3 to 120 months ? and an associated term structure of real interest rates. Inflation expectations extracted from this model track actual (ex-post) realizations of inflation quite well, and in terms of forecast ...
Staff Report , Paper 502

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