The Role of Asymmetries and Regime Shifts in the Term Structure of Interest Rates

We examine the relationship between interest rates of different maturities for the US, Germany and Japan over the period 1982-2000, using a general, multivariate vector equilibrium correction modelling framework capable of simultaneously allowing for asymmetric adjustment and regime shifts. This approach has a very general underlying theoretical rationale that allows for time-varying term premia and other short-run deviations from the expectations model of the term structure. The resulting non-linear models provide good in-sample fits, display regime switches closely related to key state variables driving monetary policy decisions and have satisfactory out-of-sample forecasting properties.

[1]  Hao Zhou,et al.  Regime Shifts, Risk Premiums in the Term Structure, and the Business Cycle , 2003 .

[2]  Pentti Saikkonen,et al.  Estimation and Testing of Cointegrated Systems by an Autoregressive Approximation , 1992, Econometric Theory.

[3]  Stephen Gray Modeling the Conditional Distribution of Interest Rates as a Regime-Switching Process , 1996 .

[4]  James D. Hamilton A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle , 1989 .

[5]  Norman R. Swanson,et al.  Further developments in the study of cointegrated variables , 2010 .

[6]  W. Newey,et al.  A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelationconsistent Covariance Matrix , 1986 .

[7]  Allan Timmermann,et al.  Density forecasting in economics and finance , 2000 .

[8]  K. Singleton,et al.  Specification Analysis of Affine Term Structure Models , 1997 .

[9]  Philip Hans Franses,et al.  Non-Linear Time Series Models in Empirical Finance , 2000 .

[10]  A. Kanioura,et al.  Critical values for an F-test for cointegration in a multivariate model , 2005 .

[11]  J. Galí,et al.  The Science of Monetary Policy: A New Keynesian Perspective , 1999 .

[12]  Hans-Martin Krolzig,et al.  Statistical Analysis of Cointegrated VAR Processes with Markovian Regime Shifts , 1999 .

[13]  J. Galí,et al.  Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory , 1998 .

[14]  J. Grammig,et al.  Discretion versus Policy Rules in Practice , 2007 .

[15]  J. Stock Advances in Economics and Econometrics: Theory and Applications: Cointegration, long-run comovements, and long-horizon forecasting , 1997 .

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

[17]  Kamil Feridun Turkman Non-linear time series models , 1996 .

[18]  Chang‐Jin Kim,et al.  State Space Models with Regime Switching , 1999 .

[19]  S. Johansen STATISTICAL ANALYSIS OF COINTEGRATION VECTORS , 1988 .

[20]  F. Diebold,et al.  Comparing Predictive Accuracy , 1994, Business Cycles.

[21]  R. Mariano,et al.  Residual-Based Procedures for Prediction and Estimation in a Nonlinear Simultaneous System , 1984 .

[22]  H. Hartley Maximum Likelihood Estimation from Incomplete Data , 1958 .

[23]  Michael P. Clements,et al.  Intercept Corrections and Structural Change , 1996 .

[24]  Michael Osterwald-Lenum A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics , 1992 .

[25]  Lutz Kilian,et al.  Exchange Rates and Monetary Fundamentals: What Do We Learn from Long-Horizon Regressions? , 1999 .

[26]  L. Hansen Large Sample Properties of Generalized Method of Moments Estimators , 1982 .

[27]  K. West,et al.  Asymptotic Inference about Predictive Ability , 1996 .

[28]  D. Andrews Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation , 1991 .

[29]  Giorgio Valente,et al.  Modelling and forecasting stock returns: exploiting the futures market, regime shifts and international spillovers , 2005 .

[30]  C. Granger,et al.  Modelling Nonlinear Economic Relationships , 1995 .

[31]  Robert F. Dittmar,et al.  Quadratic Term Structure Models: Theory and Evidence , 2000 .

[32]  Clive W. J. Granger,et al.  A Decision_Theoretic Approach to Forecast Evaluation , 2000 .

[33]  Kenneth F. Wallis,et al.  Density Forecasting: A Survey , 2000 .

[34]  Joseph Berkson,et al.  Some Difficulties of Interpretation Encountered in the Application of the Chi-Square Test , 1938 .

[35]  R. Luukkonen,et al.  Testing cointegration in infinite order vector autoregressive processes , 1997 .

[36]  J. Galí,et al.  Monetary Policy Rules in Practice: Some International Evidence , 1997 .

[37]  Shin-Ho Chung,et al.  Markov chain models, time series analysis and extreme value theory , 1996 .

[38]  Mark P. Taylor,et al.  Nonlinear permanent – temporary decompositions in macroeconomics and finance* , 2002 .

[39]  Peter E. Rossi,et al.  Nonlinear dynamic structures , 1993 .

[40]  Søren Johansen,et al.  Identifying restrictions of linear equations with applications to simultaneous equations and cointegration , 1995 .

[41]  W. Newey,et al.  A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelationconsistent Covariance Matrix , 1986 .

[42]  Regime-shifts, risk premiums in the term structure, and the business cycle , 2003 .

[43]  James D. Hamilton Rational-expectations econometric analysis of changes in regime: An investigation of the term structure of interest rates , 1988 .

[44]  Chang‐Jin Kim,et al.  State-Space Models with Regime-Switching: Classical and Gibbs Sampling Approaches with Applications , 1999 .

[45]  Michael W. McCracken Robust out-of-sample inference , 2000 .

[46]  A. Gallant,et al.  Nonlinear Statistical Models , 1988 .

[47]  Bryan W. Brown,et al.  Predictors in Dynamic Nonlinear Models: Large-Sample Behavior , 1989, Econometric Theory.

[48]  Arturo Estrella,et al.  A new measure of fit for equations with dichotomous dependent variables , 1998 .

[49]  S. Johansen Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models , 1991 .

[50]  Oldrich A. Vasicek An equilibrium characterization of the term structure , 1977 .

[51]  Exchange Rates and Fundamentals , 2005 .

[52]  Anthony S. Tay,et al.  Evaluating Density Forecasts with Applications to Financial Risk Management , 1998 .

[53]  Clive W. J. Granger,et al.  A cointegration analysis of treasury bill yields , 1992 .

[54]  Heather M. Anderson,et al.  Transaction Costs and Nonlinear Adjustment Towards Equilibrium in the US Treasury Bill Market , 1997 .

[55]  Søren Johansen,et al.  Some tests for parameter constancy in cointegrated VAR-models , 1999 .

[56]  Andrew Ang,et al.  Regime Switches in Interest Rates , 1998 .

[57]  Robert J. Shiller,et al.  Cointegration and Tests of Present Value Models , 1987, Journal of Political Economy.

[58]  Edward E. Leamer,et al.  Specification Searches: Ad Hoc Inference with Nonexperimental Data , 1980 .

[59]  Quadratic Term Structure Models , 2000 .

[60]  James D. Hamilton 9 Estimation, inference and forecasting of time series subject to changes in regime , 1993 .

[61]  James D. Hamilton Time Series Analysis , 1994 .

[62]  H. Krolzig Markov-Switching Vector Autoregressions , 1997 .

[63]  Clive W. J. Granger,et al.  Long-Run Economic Relationships: Readings in Cointegration , 1991 .

[64]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[65]  Clive W. J. Granger,et al.  Unit Root Tests and Asymmetric Adjustment with an Example Using the Term Structure of Interest Rates , 1998 .

[66]  John B. Taylor Monetary Policy Rules , 1999 .

[67]  Hao Zhou,et al.  Term Structure of Interest Rates with Regime Shifts , 2001 .

[68]  Clive W. J. Granger,et al.  Developments in the study of cointegrated economic variables , 2001 .

[69]  C. Granger,et al.  Co-integration and error correction: representation, estimation and testing , 1987 .

[70]  John B. Taylor Discretion versus policy rules in practice , 1993 .

[71]  Todd E. Clark,et al.  Tests of Equal Forecast Accuracy and Encompassing for Nested Models , 1999 .

[73]  J. Campbell,et al.  The Term Structure of Euromarket Interest Rates: an Empirical Investigation , 1986 .