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Working Paper
Detecting lack of identification in GMM
In the standard linear instrumental variables regression model, it must be assumed that the instruments are correlated with the endogenous variables in order to ensure the consistency and asymptotic normality of the usual instrumental variables estimator. Indeed, if the instruments are only slightly correlated with the endogenous variables, the conventional Gaussian asymptotic theory may still provide a very poor approximation to the finite sample distribution of the usual instrumental variables estimator. Because of the crucial role of this identification condition, it is common to test for ...
Working Paper
The TIPS yield curve and inflation compensation
For over ten years, the U.S. Treasury has issued index-linked debt. Federal Reserve Board staff have fitted a yield curve to these indexed securities at the daily frequency from the start of 1999 to the present. This paper describes the methodology that is used and makes the estimates public. Comparison with the corresponding nominal yield curve allows measures of inflation compensation (or breakeven inflation rates) to be computed. We discuss the interpretation of inflation compensation and its relationship to inflation expectations and uncertainty, offering some empirical evidence that ...
Working Paper
Exchange rate forecasting: the errors we've really made
We examine the forecasting performance of standard macro models of exchange rates in real time, using dozens of different vintages of the OECD's Main Economic Indicators database. We calculate out-of-sample forecasts as they would have been made at the time, and compare them to a random walk alternative. The resulting "time series" of forecast performance indicates that both data revisions and changes in the sample period typically have large effects on exchange rate predictability. We show that the favorable evidence of long-horizon exchange rate predictability for the DM and Yen in Mark ...
Discussion Paper
Nonlinear Phillips Curves
The slope of the Phillips curve flattened around the turn of the century. The slope, however, is also kinked (nonlinear) such that it is steeper in a tight labor market than in a more normal one. The magnitude of this kink means that the flattening of the Phillips curve around the turn of the century has not changed much the slope in a tight labor market. This holds for both price and wage Phillips curves and for both the United States (US) and the European Union (EU). Our findings are relevant to policy debates about the costs and benefits of a running a hot labor market. Monetary ...
Working Paper
Identifying the effects of monetary policy shocks on exchange rates using high frequency data
This paper proposes a new approach to identifying the effects of monetary policy shocks in an international vector autoregression. Using high-frequency data on the prices of Fed Funds futures contracts, we measure the impact of the surprise component of the FOMC-day Federal Reserve policy decision on financial variables, such as the exchange rate and the foreign interest rate. We show how this information can be used to achieve identification without having to make the usual strong assumption of a recursive ordering.
Working Paper
Confidence intervals for long-horizon predictive regressions via reverse regressions
Long-horizon predictive regressions in finance pose formidable econometric problems when estimated using the sample sizes that are typically available. A remedy that has been proposed by Hodrick (1992) is to run a reverse regression in which short-horizon returns are projected onto a long-run mean of some predictor. By covariance stationarity, the slope coefficient is zero in the reverse regression if and only if it is zero in the original regression, but testing the hypothesis in the reverse regression avoids small sample problems. Unfortunately this only allows us to test the null of no ...
Working Paper
An arbitrage-free three-factor term structure model and the recent behavior of long-term yields and distant-horizon forward rates
This paper reviews a simple three-factor arbitrage-free term structure model estimated by Federal Reserve Board staff and reports results obtained from fitting this model to U.S. Treasury yields since 1990. The model ascribes a large portion of the decline in long-term yields and distant-horizon forward rates since the middle of 2004 to a fall in term premiums. A variant of the model that incorporates inflation data indicates that about two-thirds of the decline in nominal term premiums owes to a fall in real term premiums, but estimated compensation for inflation risk has diminished as well.