Todd E. Clark’s research while affiliated with Federal Reserve Bank of Cleveland and other places

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Publications (127)


Constructing Fan Charts from the Ragged Edge of SPF Forecasts
  • Article

March 2025

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4 Reads

Review of Economics and Statistics

Todd E. Clark

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Gergely Ganics

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We develop models that take point forecasts from the Survey of Professional Forecasters (SPF) as inputs and produce estimates of survey-consistent term structures of expectations and uncertainty at arbitrary forecast horizons. Our models combine fixed-horizon and fixed-event forecasts, accommodating time-varying horizons and availability of survey data, as well as potential inefficiencies in survey forecasts. The estimated term structures of SPF-consistent expectations are comparable in quality to the published, widely used short-horizon forecasts. Our estimates of time-varying forecast uncertainty reflect historical variations in realized errors of SPF point forecasts, and generate fan charts with reliable coverage rates.



Specification Choices in Quantile Regression for Empirical Macroeconomics

November 2024

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24 Reads

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2 Citations

Journal of Applied Econometrics

Quantile regression has become widely used in empirical macroeconomics, in particular for estimating and forecasting tail risks. This paper examines various choices in the specification of quantile regressions for macro applications, including how and to what extent to include shrinkage and whether to apply shrinkage in a classical or Bayesian framework. We focus on forecasting accuracy, measured with quantile scores and quantile‐weighted continuous ranked probability scores at a range of quantiles from the left to right tail. Across applications, we find that shrinkage is generally helpful to quantile forecast accuracy, with Bayesian quantile regression dominating frequentist quantile regression. JEL Classification: C53, E17, E37, F47



Investigating Growth-at-Risk Using a Multicountry Non-parametric Quantile Factor Model

January 2024

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12 Reads

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13 Citations

Todd E. Clark

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Gary Koop

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[...]

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Capturing Macro‐Economic Tail Risks with Bayesian Vector Autoregressions

December 2023

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18 Reads

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16 Citations

Journal of Money Credit and Banking

Many studies using quantile regressions (QRs) have found that downside risk to output growth varies more than upside risk. We show that Bayesian vector autoregressions (BVARs) with stochastic volatility are able to capture tail risks in forecast distributions. Even though the one‐step‐ahead conditional predictive distributions from the conventional stochastic volatility specification are symmetric, forecasts of downside risks to output growth are more variable than upside risks, and the reverse applies in the case of inflation and unemployment. Overall, BVAR models perform comparably to QR for estimating and forecasting tail risks, complementing BVARs' established performance for forecasting and structural analysis.


Stochastic Volatility in Bayesian Vector Autoregressions

September 2023

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11 Reads

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4 Citations

Vector autoregressions with stochastic volatility (SV) are widely used in macroeconomic forecasting and structural inference. The SV component of the model conveniently allows for time variation in the variance-covariance matrix of the model’s forecast errors. In turn, that feature of the model generates time variation in predictive densities. The models are most commonly estimated with Bayesian methods, most typically Markov chain Monte Carlo methods, such as Gibbs sampling. Equation-by-equation methods developed since 2018 enable the estimation of models with large variable sets at much lower computational cost than the standard approach of estimating the model as a system of equations. The Bayesian framework also facilitates the accommodation of mixed frequency data, non-Gaussian error distributions, and nonparametric specifications. With advances made in the 21st century, researchers are also addressing some of the framework’s outstanding challenges, particularly the dependence of estimates on the ordering of variables in the model and reliable estimation of the marginal likelihood, which is the fundamental measure of model fit in Bayesian methods.


Figure 2: Historical Decomposition of Unexpected Inflation from January 2020 to December 2022
The Impacts of Supply Chain Disruptions on Inflation
  • Article
  • Full-text available

May 2023

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750 Reads

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17 Citations

Economic Commentary (Federal Reserve Bank of Cleveland)

Since early 2021, inflation has consistently exceeded the Federal Reserve’s target of 2 percent. Using a combination of data, economic theory, and narrative information around historical events, we empirically assess what has caused persistently elevated inflation. Our estimates suggest that both aggregate demand and supply factors, including supply chain disruptions, have contributed significantly to high inflation.

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Citations (77)


... The paper also contributes to an active literature on forecast disagreement in macroeconomics and finance. This literature considers measures of disagreement to either measure economic conditions (as in Zarnowitz andLambros 1987, Lahiri andSheng 2010 and the studies surveyed by Clements et al. 2023 andClark andMertens 2024), or to test economic theories (as in Coibion and Gorodnichenko 2012, Dovern 2015and Andrade et al. 2016. The characterization derived in this paper suggests principled measures of forecast disagreement for various applied settings. ...

Reference:

A Kernel Score Perspective on Forecast Disagreement and the Linear Pool
Survey expectations and forecast uncertainty
  • Citing Chapter
  • November 2024

... The first contribution of this paper is the application of ML methods to identify key financial predictors of growth vulnerabilities as measured by industrial production (IP) growth. Our paper is hence related to recent work by Prüser and Huber (2024) and Carriero et al. (2024), but our focus differs in at least three ways. First, we focus on the 0.05 quantile as this is the threshold commonly used in policy analyses, whereas Carriero et al. (2024) center their analysis on the 0.1 quantile. ...

Specification Choices in Quantile Regression for Empirical Macroeconomics
  • Citing Article
  • November 2024

Journal of Applied Econometrics

... The focus on density predictions, and especially tail forecast metrics, is due to the recent emphasis on predicting macroeconomic risk in the wake of Adrian et al. (2019). The most popular targeted objects, often with single-equation variants of quantile regression (QR), are the quantiles of GDP growth, which are commonly referred to as Growth-at-Risk (see, e.g., Adrian et al., 2022;Clark et al., 2024b;Plagborg-Møller et al., 2020). But there are other econometric approaches that have been shown to perform equally well or better than QR (see Carriero, Clark and Marcellino, 2022;Clark et al., 2023;Delle Monache, De Polis and Petrella, 2023, among others), and many papers have considered a wider set of economic indicators, such as inflation and unemployment (see, e.g., Adams et al., 2021;Galbraith and van Norden, 2019;Manzan, 2015;Pfarrhofer, 2022, among others). ...

Investigating Growth-at-Risk Using a Multicountry Non-parametric Quantile Factor Model
  • Citing Article
  • January 2024

... Analysis further addresses scenario information beyond a single point forecast, specifically to use scenario tail percentiles that reflect measures of scenario risk. This links to the desirability of scenario hypotheses that represent more radical perturbations of the baseline than has been typical (e.g., Justiniano and Primiceri, 2008;Fernández-Villaverde et al., 2011;Adrian and Boyarchenko, 2012;He and Krishnamurthy, 2012;Brunnermeier and Sannikov, 2014;Fernández-Villaverde et al., 2023 with structural models, and Adrian et al., 2021;Caldara et al., 2021;Carriero et al., 2024 with reduced-form models). That scenarios considered by policy institutions often represent only modest perturbations of the baseline is also partly addressed by our use of the synthetic backstop scenario. ...

Capturing Macro‐Economic Tail Risks with Bayesian Vector Autoregressions
  • Citing Article
  • December 2023

Journal of Money Credit and Banking

... One caveat is the identifiability issue of the margins, which could hinder sampling and interpretation. Second, developing techniques for obtaining convergent margin Markov chains can potentially lower the uncertainty in the alternative DICs specified in Section 4. Third, heteroskedasticity plays a critical role in VAR applications within econometrics (Clark and Mertens, 2023), suggesting that adding heteroskedasticity such as stochastic volatility to TVP-TVARs is worth investigating. ...

Stochastic Volatility in Bayesian Vector Autoregressions
  • Citing Chapter
  • September 2023

... These variables were commonly used in studies on inflation. For example, global oil price was used in studies by Garzón and Hierro (2022) (2022); the global supply chain pressure index was used in studies by Diaz et al. (2024), and Gordon and Clark (2023); and unemployment rate was used in studies by Hall et al. (2023) and Yilmazkuday (2022). According to Chen et al. (2016), the SVAR model has advantages in analyzing dynamic relationships among relevant time sequence variables. ...

The Impacts of Supply Chain Disruptions on Inflation

Economic Commentary (Federal Reserve Bank of Cleveland)

... The most popular targeted objects, often with single-equation variants of quantile regression (QR), are the quantiles of GDP growth, which are commonly referred to as Growth-at-Risk (see, e.g., Adrian et al., 2022;Clark et al., 2024b;Plagborg-Møller et al., 2020). But there are other econometric approaches that have been shown to perform equally well or better than QR (see Carriero, Clark and Marcellino, 2022;Clark et al., 2023;Delle Monache, De Polis and Petrella, 2023, among others), and many papers have considered a wider set of economic indicators, such as inflation and unemployment (see, e.g., Adams et al., 2021;Galbraith and van Norden, 2019;Manzan, 2015;Pfarrhofer, 2022, among others). ...

TAIL FORECASTING WITH MULTIVARIATE BAYESIAN ADDITIVE REGRESSION TREES
  • Citing Article
  • December 2022

International Economic Review

... of forecasters influence the obtained results (e.g. Glas and Hartmann, 2022;Pavlova, 2024 Ganics et al. (2022) and Krüger and Plett (2024) indicate that forecast distributions based on past point forecast errors perform similar to, or better than, subjective histogram-type forecasts as provided by the SPF and ECB-SPF. These findings motivate our use of the IMF as an external point forecast, together with a suitable set of historical forecast errors. ...

What is the Predictive Value of SPF Point and Density Forecasts?
  • Citing Article
  • January 2022

SSRN Electronic Journal

... However, most studies only consider low-dimensional quantile regression models estimated by frequentist methods. Meanwhile, studies that use high-dimensional Bayesian quantile regressions, such as Plagborg-Møller et al. (2020), Carriero et al. (2022b) and Prüser and Huber (2023), are mostly interested in macroeconomic variables such as gross domestic product (GDP), inflation, and unemployment. ...

Specification Choices in Quantile Regression for Empirical Macroeconomics
  • Citing Article
  • January 2022

SSRN Electronic Journal

... In this context, shrinkage describes the penalization of numerous parameters toward zero or toward a simpler structure, so as to enforce parsimony. For VAR models, shrinkage is particularly needed when the number of time series variables (d) or the chosen lag order (p) is large relative to the available sample size, a common scenario in macroeconomic forecasting (Bańbura et al., 2010;Bai et al., 2022). ...

Macroeconomic Forecasting in a Multi‐country Context
  • Citing Article
  • July 2022

Journal of Applied Econometrics