The Uncovered Interest Parity Puzzle Exchange Rate Forecasting And Taylor Rules

Recent research has found that the Taylor-rule fundamentals have power to forecast changes in U.S. dollar exchange rates out of sample. Our work casts some doubt on that claim. However, we find strong evidence of a related in-sample anomaly. When we include U.S. inflation in the well-known uncovered interest parity regression of the change in the exchange rate on the interest-rate differential, we find that the inflation variable is highly significant and the interest-rate differential is not. Specifically, high U.S. inflation in one month forecasts dollar appreciation in the subsequent month. We introduce a model in which a Taylor rule determines monetary policy, but in which not only monetary shocks but also liquidity shocks drive nominal interest rates. This model can potentially account for the empirical findings.

"We explore the link between an interest rate rule for monetary policy and the behavior of the real exchange rate. The interest rate rule, in conjunction with some standard assumptions, implies that the deviation of the real exchange rate from its steady state depends on the present value of a weighted sum of inflation and output gap differentials. The weights are functions of the parameters of the interest rate rule. An initial look at German data yields some support for the model"--National Bureau of Economic Research web site.

"This paper attacks the Meese-Rogoff puzzle from a different perspective: out-of-sample interval forecasting. Most studies in the literature focus on point forecasts. In this paper, we apply Robust Semiparametric (RS) interval forecasting to a group of Taylor rule models. Forecast intervals for twelve OECD exchange rates are generated and modified tests of Giacomini and White (2006) are conducted to compare the performance of Taylor rule models and the random walk. Our contribution is twofold. First, we find that in general, Taylor rule models generate tighter forecast intervals than the random walk, given that their intervals cover out-of-sample exchange rate realizations equally well. This result is more pronounced at longer horizons. Our results suggest a connection between exchange rates and economic fundamentals: economic variables contain information useful in forecasting the distributions of exchange rates. The benchmark Taylor rule model is also found to perform better than the monetary and PPP models. Second, the inference framework proposed in this paper for forecast-interval evaluation can be applied in a broader context, such as inflation forecasting, not just to the models and interval forecasting methods used in this paper"--P. [2].

The Taylor rule has become the dominant model for academic evaluation of out-of-sample exchange rate predictability. Two versions of the Taylor rule model are the Taylor rule fundamentals model, where the variables that enter the Taylor rule are used to forecast exchange rate changes, and the Taylor rule differentials model, where a Taylor rule with postulated coefficients is used in the forecasting regression. We use data from 1973 to 2014 to evaluate short-run out-of-sample predictability for eight exchange rates vis-à-vis the U.S. dollar, and find strong evidence in favor of the Taylor rule fundamentals model alternative against the random walk null. The evidence of predictability is weaker with the Taylor rule differentials model, and still weaker with the traditional interest rate differential, purchasing power parity, and monetary models. The evidence of predictability for the fundamentals model is not related to deviations from the original Taylor rule for the U.S., but is related to deviations from a modified Taylor rule for the U.S. with a higher coefficient on the output gap. The evidence of predictability is also unrelated to deviations from Taylor rules for the foreign countries and adherence to the Taylor principle for the U.S.

Praise for Handbook of Exchange Rates “This book is remarkable. I expect it to become the anchor reference for people working in the foreign exchange field.” —Richard K. Lyons, Dean and Professor of Finance, Haas School of Business, University of California Berkeley “It is quite easily the most wide ranging treaty of expertise on the forex market I have ever come across. I will be keeping a copy close to my fingertips.” —Jim O’Neill, Chairman, Goldman Sachs Asset Management How should we evaluate the forecasting power of models? What are appropriate loss functions for major market participants? Is the exchange rate the only means of adjustment? Handbook of Exchange Rates answers these questions and many more, equipping readers with the relevant concepts and policies for working in today’s international economic climate. Featuring contributions written by leading specialists from the global financial arena, this handbook provides a collection of original ideas on foreign exchange (FX) rates in four succinct sections: • Overview introduces the history of the FX market and exchange rate regimes, discussing key instruments in the trading environment as well as macro and micro approaches to FX determination. • Exchange Rate Models and Methods focuses on forecasting exchange rates, featuring methodological contributions on the statistical methods for evaluating forecast performance, parity relationships, fair value models, and flow–based models. • FX Markets and Products outlines active currency management, currency hedging, hedge accounting; high frequency and algorithmic trading in FX; and FX strategy-based products. • FX Markets and Policy explores the current policies in place in global markets and presents a framework for analyzing financial crises. Throughout the book, topics are explored in-depth alongside their founding principles. Each chapter uses real-world examples from the financial industry and concludes with a summary that outlines key points and concepts. Handbook of Exchange Rates is an essential reference for fund managers and investors as well as practitioners and researchers working in finance, banking, business, and econometrics. The book also serves as a valuable supplement for courses on economics, business, and international finance at the upper-undergraduate and graduate levels.

"When central banks set nominal interest rates according to an interest rate reaction function, such as the Taylor rule, and the exchange rate is priced by uncovered interest parity, the real exchange rate is determined by expected inflation differentials and output gap differentials. In this paper I examine the implications of these Taylor-rule fundamentals for real exchange rate determination in an environment where market participants are ignorant of the numerical values of the model's coefficients but attempt to acquire that information using least-squares learning rules. I find evidence that this simple learning environment provides a plausible framework for understanding real dollar--DM exchange rate dynamics from 1976 to 2003. The least-squares learning path for the real exchange rate implied by inflation and output gap data exhibits the real depreciation of the 70s, the great appreciation (1979.4-1985.1) and the subsequent great depreciation (1985.2-1991.1) observed in the data. An emphasis on Taylor-rule fundamentals may provide a resolution to the exchange rate disconnect puzzle"--National Bureau of Economic Research web site.

This paper evaluates out-of-sample exchange rate predictability of Taylor rule models, where the central bank sets the interest rate in response to inflation and either the output or the unemployment gap, for the euro/dollar exchange rate with real-time data before, during, and after the financial crisis of 2008-2009. While all Taylor rule specifications outperform the random walk with forecasts ending between 2007:Q1 and 2008:Q2, only the specification with both estimated coefficients and the unemployment gap consistently outperforms the random walk from 2007:Q1 through 2012:Q1. Several Taylor rule models that are augmented with credit spreads or financial condition indexes outperform the original Taylor rule models. The performance of the Taylor rule models is superior to the interest rate differentials, monetary, and purchasing power parity models.