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Jel Classification:C26 

Report
Estimating dynamic panel models: backing out the Nickell Bias

We propose a novel estimator for the dynamic panel model, which solves the failure of strict exogeneity by calculating the bias in the first-order conditions as a function of the autoregressive parameter and solving the resulting equation. We show that this estimator performs well as compared with approaches in current use. We also propose a general method for including predetermined variables in fixed-effects panel regressions that appears to perform well.
Staff Reports , Paper 824

Working Paper
A Robust Test for Weak Instruments with Multiple Endogenous Regressors

We extend the popular bias-based test of Stock and Yogo (2005) for instrument strength in linear instrumental variables regressions with multiple endogenous regressors to be robust to heteroskedasticity and autocorrelation. Equivalently, we extend the robust test of Montiel Olea and Pflueger (2013) for one endogenous regressor to the general case with multiple endogenous regressors. We describe a simple procedure for applied researchers to conduct our generalized first-stage test of instrument strength and provide efficient and easy-to-use Matlab code for its implementation. We demonstrate ...
Working Papers , Paper 2208

Report
A Robust Test for Weak Instruments with Multiple Endogenous Regressors

We extend the popular bias-based test of Stock and Yogo (2005) for instrument strength in linear instrumental variables regressions with multiple endogenous regressors to be robust to heteroskedasticity and autocorrelation. Equivalently, we extend the robust test of Montiel Olea and Pflueger (2013) for one endogenous regressor to the general case with multiple endogenous regressors. We describe a simple procedure for applied researchers to conduct our generalized first-stage test of instrument strength and provide efficient and easy-to-use Matlab code for its implementation. We demonstrate ...
Staff Reports , Paper 1020

Working Paper
Real Rates and Consumption Smoothing in a Low Interest Rate Environment: The Case of Japan

We study the dynamics of consumption, the real interest rate, and measures of labor input in Japan over the period from 1985-2014. We identify structural breaks in macroeconomic aggregates during the 1990s and associate them with the zero interest rate policy pursued by the Bank of Japan and the surprise increase in the consumption tax rate in April 1997. Formal estimation using the Generalized Methods of Moments shows that the mid-1990s are characterized by breaks in the structural parameters governing household consumption and labor supply decisions. Specifically, following the tax hike and ...
Working Paper , Paper 17-8

Working Paper
A Robust Test for Weak Instruments for 2SLS with Multiple Endogenous Regressors

We develop a test for instrument strength based on the bias of two-stage least squares (2SLS) that (1) generalizes the tests of Stock and Yogo (2005) and Sanderson and Windmeijer (2016) to be robust to heteroskedasticity and autocorrelation, and (2) extends the Montiel Olea and Pflueger (2013) robust test for models with a single endogenous regressor to multiple endogenous regressors. Our test can be based either on Stock and Yogo’s (2005) absolute bias criterion or on the 2SLS bias relative to Montiel Olea and Pflueger’s (2013) worst-case benchmark. We also develop extensions to test ...
Working Papers , Paper 2208

Working Paper
The Future in Today’s Prices: Evidence from a Survey of U.S. Firms

Do firms adjust prices to realized costs, expected costs, or both? We address this question using a new survey of U.S. businesses that separately measures realized cost changes since the last price adjustment and expected cost changes over the subsequent year, including portions attributable to 2025 trade policies. Using perceived tariff exposure as an instrument, we identify the causal effects of realized and expected costs on prices. Reset prices incorporate almost 70 percent of current costs and nearly 45 percent of expected costs over the next year. The importance of these channels varies ...
Working Papers , Paper 26-11

Working Paper
Local Projections

A central question in applied research is to estimate the effect of an exogenous intervention or shock on an outcome. The intervention can affect the outcome and controls on impact and over time. Moreover, there can be subsequent feedback between outcomes, controls and the intervention. Many of these interactions can be untangled using local projections. This method’s simplicity makes it a convenient and versatile tool in the empiricist’s kit, one that is generalizable to complex settings. This article reviews the state-of-the art for the practitioner, discusses best practices and ...
Working Paper Series , Paper 2024-24

Working Paper
Exporting and Pollution Abatement Expenditure: Evidence from Firm-Level Data

The relevance of analyzing whether exporting firms engage in greater pollution abatement cannot be overemphasized. For instance, the question relates to the possibility of export promotion policies being environmentally beneficial. In fact, the issue is especially relevant for developing countries typically characterized by ineffective environmental regulation. However, despite the significance of the topic, the extant literature examining the environmental consequences of firm-level trade is skewed toward developed countries. Moreover, the existing contributions rarely attend to concerns ...
Globalization Institute Working Papers , Paper 393

Working Paper
A Uniformly Valid Test for Instrument Exogeneity

This paper studies the limiting behavior of the test for instrument exogeneity in linear models when there is uncertainty about the strength of the identification signal. We consider the test for conditional moment restrictions with an expanding set of constructed instruments. We establish the uniform validity of the standard normal asymptotic approximation, under the null, of this specification test over all possible degrees of model identification. As a result, this allows the researcher to use standard inference for testing instrument exogeneity without the need of any prior knowledge if ...
FRB Atlanta Working Paper , Paper 2025-9

Working Paper
A Robust Test for Weak Instruments with Multiple Endogenous Regressors

We generalize the popular bias-based test of Stock and Yogo (2005) for instrument strength in two-stage least-squares models with multiple endogenous regressors to be robust to heteroskedasticity and autocorrelation. Equivalently, we extend the robust test of Montiel Olea and Pflueger (2013) for a single endogenous regressor to the general case with multiple endogenous regressors. We describe a simple procedure for applied researchers to conduct our generalized first-stage test of instrument strength, and provide fast Matlab code for its implementation. In simulations, our test controls size ...
Working Papers , Paper 2208

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