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Jel Classification:C22 

Working Paper
Minimum distance estimation of possibly non-invertible moving average models

This paper considers estimation of moving average (MA) models with non-Gaussian errors. Information in higher-order cumulants allows identification of the parameters without imposing invertibility. By allowing for an unbounded parameter space, the generalized method of moments estimator of the MA(1) model has classical (root-T and asymptotic normal) properties when the moving average root is inside, outside, and on the unit circle. For more general models where the dependence of the cumulants on the model parameters is analytically intractable, we consider simulation-based estimators with two ...
FRB Atlanta Working Paper , Paper 2013-11

Working Paper
Regular Variation of Popular GARCH Processes Allowing for Distributional Asymmetry

Linear GARCH(1,1) and threshold GARCH(1,1) processes are established as regularly varying, meaning their heavy tails are Pareto like, under conditions that allow the innovations from the, respective, processes to be skewed. Skewness is considered a stylized fact for many financial returns assumed to follow GARCH-type processes. The result in this note aids in establishing the asymptotic properties of certain GARCH estimators proposed in the literature.
Finance and Economics Discussion Series , Paper 2017-095

Working Paper
When Do State-Dependent Local Projections Work?

Many empirical studies estimate impulse response functions that depend on the state of the economy. Most of these studies rely on a variant of the local projection (LP) approach to estimate the state-dependent impulse response functions. Despite its widespread application, the asymptotic validity of the LP approach to estimating state-dependent impulse responses has not been established to date. We formally derive this result for a structural state-dependent vector autoregressive process. The model only requires the structural shock of interest to be identified. A sufficient condition for the ...
Working Papers , Paper 2205

Working Paper
Real-Time Forecasting and Scenario Analysis using a Large Mixed-Frequency Bayesian VAR

We use a mixed-frequency vector autoregression to obtain intraquarter point and density forecasts as new, high frequency information becomes available. This model, delineated in Ghysels (2016), is specified at the lowest sampling frequency; high frequency observations are treated as different economic series occurring at the low frequency. As this type of data stacking results in a high-dimensional system, we rely on Bayesian shrinkage to mitigate parameter proliferation. We obtain high-frequency updates to forecasts by treating new data releases as conditioning information. The same ...
Working Papers , Paper 2015-030

Working Paper
Bubbling Up? What Consumer Expectations Reveal About U.S. Housing Market Exuberance

We investigate the presence of speculative bubbles in the U.S. housing market after the global financial crisis. Unlike standard approaches that rely on observed economic fundamentals, our method leverages subjective price expectations from the University of Michigan Survey of Consumers to test for exuberance without imposing a specific model of intrinsic housing values. By applying recursive least-squares and quantile-based unit root tests to cumulative expectational errors, we uncover novel evidence of speculative dynamics at the aggregate level and across broad demographic and ...
Working Papers , Paper 2521

Working Paper
A New Look at Historical Monetary Policy and the Great Inflation through the Lens of a Persistence-Dependent Policy Rule

The origins of the Great Inflation, a central 20th century U.S. macroeconomic event, remain contested. Prominent explanations are poor forecasts or deficient activity gap estimates. An alternative view: the FOMC was unwilling to fight inflation, perhaps due to political pressures. Our findings, based on a novel approach, support the latter view. New econometric tools allow us to credibly identify the particular activity gap, if any, in use. Persistence-dependent unemployment (gap) responses in the 1970s were essentially the same pre- and post-Volcker. Conversely, FOMC behavior vis--vis ...
Working Papers , Paper 18-14R

Working Paper
Monetary Policy, Trend Inflation and the Great Moderation: An Alternative Interpretation - Comment

Working with a small-scale calibrated New-Keynesian model, Coibion and Gorodnichenko (2011) find that the reduction in trend inflation during Volcker's mandate was a key factor behind the Great Moderation. We revisit this finding with an estimated New-Keynesian model with trend inflation and no indexation based on Christiano, Eichenbaum and Evans (2005). First, our simulations confirm Coibion and Gorodnichenko's (2011) main finding. Second, we show that a trend inflation-immune Taylor rule based on economic theory can avoid indeterminacy even at high levels of trend inflation such as those ...
International Finance Discussion Papers , Paper 1127

Working Paper
The Anatomy of Out-of-Sample Forecasting Accuracy

We develop metrics based on Shapley values for interpreting time-series forecasting models, including“black-box” models from machine learning. Our metrics are model agnostic, so that they are applicable to any model (linear or nonlinear, parametric or nonparametric). Two of the metrics, iShapley-VI and oShapley-VI, measure the importance of individual predictors in fitted models for explaining the in-sample and out-of-sample predicted target values, respectively. The third metric is the performance-based Shapley value (PBSV), our main methodological contribution. PBSV measures the ...
FRB Atlanta Working Paper , Paper 2022-16

Working Paper
exuber: Recursive Right-Tailed Unit Root Testing with R

This paper introduces the R package exuber for testing and date-stamping periods of mildly explosive dynamics (exuberance) in time series. The package computes test statistics for the supremum ADF test (SADF) of Phillips, Wu and Yu (2011), the generalized SADF (GSADF) of Phillips, Shi and Yu (2015a,b), and the panel GSADF proposed by Pavlidis, Yusupova, Paya, Peel, Martínez-García, Mack and Grossman (2016); generates finite-sample critical values based on Monte Carlo and bootstrap methods; and implements the corresponding date-stamping procedures. The recursive least-squares algorithm that ...
Globalization Institute Working Papers , Paper 383

Working Paper
All Fluctuations Are Not Created Equal: The Differential Roles of Transitory versus Persistent Changes in Driving Historical Monetary Policy

The historical analysis of FOMC behavior using estimated simple policy rules requires the specification of either an estimated natural rate of unemployment or an output gap. But in the 1970s, neither output gap nor natural rate estimates appear to guide FOMC deliberations. This paper uses the data to identify the particular implicit unemployment rate gap (if any) that is consistent with FOMC behavior. While its ability appears to have improved over time, our results indicate that, both before the Volcker period and through the Bernanke period, the FOMC distinguished persistent movements in ...
Working Papers (Old Series) , Paper 1814

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