Identifying Exchange Rate Common Factors

Using recently developed model selection procedures, we determine that exchange rate returns are driven by a two-factor model. We identify them as a dollar factor and a euro factor. Exchange rates are thus driven by global, US, and Euro-zone stochastic discount factors. The identified factors can also be given a risk-based interpretation. Identification motivates multilateral models for bilateral exchange rates. Out-of-sample forecast accuracy of empirically identified multilateral models dominate the random walk and a bilateral purchasing power parity fundamentals prediction model. 24-month ahead forecast accuracy of the multilateral model dominates those of a principal components forecasting model.

[1]  M. Hallin,et al.  Determining the Number of Factors in the General Dynamic Factor Model , 2007 .

[2]  Jan J. J. Groen Long horizon predictability of exchange rates: Is it for real? , 1999 .

[3]  Adrien Verdelhan,et al.  The Share of Systematic Variation in Bilateral Exchange Rates , 2015 .

[4]  David E. Rapach,et al.  Testing the monetary model of exchange rate determination: a closer look at panels , 2004 .

[5]  J. Bai,et al.  Inferential Theory for Factor Models of Large Dimensions , 2003 .

[6]  Erik Hjalmarsson The Stambaugh Bias in Panel Predictive Regressions , 2007 .

[7]  David H. Papell,et al.  Taylor Rules with Real-Time Data: A Tale of Two Countries and One Exchange Rate , 2008 .

[8]  David H. Papell,et al.  Out-of-Sample Exchange Rate Predictability with Taylor Rule Fundamentals , 2008 .

[9]  T. Hassan Country Size, Currency Unions, and International Asset Returns , 2012 .

[10]  S. Saxena,et al.  The Monetary Model Strikes Back: Evidence from the World , 2008 .

[11]  Donggyu Sul,et al.  When Are Pooled Panel-Data Regression Forecasts of Exchange Rates More Accurate than the Time-Series Regression Forecasts? , 2012 .

[12]  David H. Papell,et al.  Taylor Rules and the Euro , 2009 .

[13]  R. Feenstra,et al.  The Next Generation of the Penn World Table , 2013 .

[14]  Kenneth Rogoff,et al.  The Six Major Puzzles in International Macroeconomics: Is There a Common Cause? , 2000, NBER Macroeconomics Annual.

[15]  Kenneth S. Rogoff,et al.  Exchange rate models of the seventies. Do they fit out of sample , 1983 .

[16]  H. Moon,et al.  An Empirical Analysis of Nonstationarity in Panels of Exchange Rates and Interest Rates with Factors , 2005 .

[17]  Mario Cerrato,et al.  Panel data tests of PPP: a critical overview , 2006 .

[18]  Donggyu Sul,et al.  Identification of Unknown Common Factors: Leaders and Followers , 2016 .

[19]  A. Rose,et al.  A Panel Project on Purchasing Power Parity: Mean Reversion within and between Countries , 1995 .

[20]  Seung C. Ahn,et al.  Eigenvalue Ratio Test for the Number of Factors , 2013 .

[21]  N. Roussanov,et al.  Common Risk Factors in Currency Markets , 2008 .

[22]  L. Kilian,et al.  In-Sample or Out-of-Sample Tests of Predictability: Which One Should We Use? , 2002, SSRN Electronic Journal.

[23]  Charles Engel,et al.  Factor Model Forecasts of Exchange Rates , 2012 .

[24]  David E. Rapach,et al.  Testing the monetary model of exchange rate determination: new evidence from a century of data , 2002 .

[25]  Angelo Ranaldo,et al.  Safe Haven Currencies , 2009 .

[26]  Yin-Wong Cheung,et al.  Empirical Exchange Rate Models of the Nineties: Are Any Fit to Survive? , 2002 .

[27]  J. Stock,et al.  Forecasting with Many Predictors , 2006 .

[28]  N. Mark,et al.  Exchange Rates and Fundamentals: Evidence on Long-Horizon Predictability , 1995 .

[29]  Todd E. Clark,et al.  Approximately Normal Tests for Equal Predictive Accuracy in Nested Models , 2005 .

[30]  T. Hassan,et al.  Forward and Spot Exchange Rates in a Multi-Currency World , 2014, The Quarterly Journal of Economics.

[31]  Robert Richmond,et al.  Gravity in FX R-Squared: Understanding the Factor Structure in Exchange Rates , 2015 .

[32]  The Cross-Section of Foreign Currency Risk Premia and Consumption Growth Risk , 2006 .

[33]  Marc,et al.  The Generalized Dynamic Factor Model determining the number of factors ∗ , 2005 .

[34]  Barbara Rossi,et al.  Testing Long-Horizon Predictive Ability with High Persistence, and the Meese-Rogoff Puzzle , 2005 .

[35]  J. Stock,et al.  Forecasting Using Principal Components From a Large Number of Predictors , 2002 .

[36]  Donggyu Sul,et al.  Nominal exchange rates and monetary fundamentals , 2001 .

[37]  Donggyu Sul,et al.  Nominal Exchange Rates and Monetary Fundamentals: Evidence from a Small Post-Bretton Woods Panel , 1998 .

[38]  J. Bai,et al.  Determining the Number of Factors in Approximate Factor Models , 2000 .

[39]  Kenneth Rogoff,et al.  Empirical exchange rate models of the seventies , 1983 .

[40]  Serena Ng,et al.  A New Look at Panel Testing of Stationarity and the PPP Hypothesis , 2001 .

[41]  N. Roussanov,et al.  Countercyclical Currency Risk Premia , 2010 .

[42]  G. Bekaert,et al.  Currency Factors , 2019, Manag. Sci..

[43]  Mark P. Taylor,et al.  Real Exchange Rate Behavior: The Recent Float from the Perspective of the Past Two Centuries , 1996, Journal of Political Economy.

[44]  Nelson C. Mark,et al.  Third-Country Effects on the Exchange Rate , 2015 .

[45]  Kenneth S. Rogoff,et al.  Exchange Rate Models Are Not as Bad as You Think [with Comments and Discussion] , 2007, NBER Macroeconomics Annual.

[46]  A. Onatski TESTING HYPOTHESES ABOUT THE NUMBER OF FACTORS IN LARGE FACTOR MODELS , 2009 .

[47]  Which Fundamentals Drive Exchange Rates? A Cross-Sectional Perspective , 2013 .

[48]  N. Roussanov,et al.  Common Risk Factors in Currency Markets , 2008 .

[49]  A. Onatski Determining the Number of Factors from Empirical Distribution of Eigenvalues , 2010, The Review of Economics and Statistics.

[50]  J. Stock,et al.  Phillips Curve Inflation Forecasts , 2008 .

[51]  Kenneth S. Rogoff,et al.  Can Exchange Rates Forecast Commodity Prices? , 2008 .

[52]  Menzie David Chinn,et al.  Banking on currency forecasts: How predictable is change in money? , 1995 .

[53]  Serena Ng,et al.  Evaluating latent and observed factors in macroeconomics and finance , 2006 .

[54]  P. O'Connell The overvaluation of purchasing power parity , 1998 .

[55]  John F. O. Bilson Profitability and Stability in International Currency Markets , 1981 .