Kim, Chang-Jin and Kim, Jaeho (2013): Bayesian Inference in Regime-Switching ARMA Models with Absorbing States: The Dynamics of the Ex-Ante Real Interest Rate Under Structural Breaks.
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Abstract
One goal of this paper is to develop an efficient Markov-Chain Monte Carlo (MCMC) algorithm for estimating an ARMA model with a regime-switching mean, based on a multi-move sampler. Unlike the existing algorithm of Billio et al. (1999) based on a single-move sampler, our algorithm can achieve reasonably fast convergence to the posterior distribution even when the latent regime indicator variable is highly persistent or when there exist absorbing states.
Another goal is to appropriately investigate the dynamics of the latent ex-ante real interest rate (EARR) in the presence of structural breaks, by employing the econometric tool developed. We argue Garcia and Perron's (1996) conclusion that the EARR rate is a constant subject to occasional jumps may be sample-specific. For an extended sample that includes recent data, Garcia and Perron's (1996) AR(2) model of EPRR may be misspecified, and we show that excluding the theory-implied moving-average terms may understate the persistence of the observed ex-post real interest rate (EPRR) dynamics. Our empirical results suggest that, even though we rule out the possibility of a unit root in the EARR, it may be more persistent and volatile than has been documented in some of the literature including Garcia and Perron (1996).
Item Type: | MPRA Paper |
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Original Title: | Bayesian Inference in Regime-Switching ARMA Models with Absorbing States: The Dynamics of the Ex-Ante Real Interest Rate Under Structural Breaks |
Language: | English |
Keywords: | ARMA model with Regime Switching, Multi-move Sampler, Single-Move Sampler, Metropolis-Hastings Algorithm, Absorbing State, Ex-Ante Real Interest Rate. |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C11 - Bayesian Analysis: General E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates |
Item ID: | 51117 |
Depositing User: | Chang-Jin Kim |
Date Deposited: | 12 Nov 2013 06:36 |
Last Modified: | 29 Sep 2019 03:13 |
References: | Albert, J.H. and S. Chib, 1993, Bayes inference via Gibbs sampling of autoregressive time series subject to Markov mean and variance shifts. Journal of Business and Economic Statistics, 11, 1-15. Antoncic, Madelyn, 1986, High and Volatile Real Interest Rates: Where Does the Fed Fit In? Journal of Money, Credit, and Banking, 18(1), 18-27. Bai, Jushan and Pierre Perron, 2003, Computation and Analysis of Multiple Structural Change Models. Journal of Applied Econometrics, 18(1), 1-22. Billio, M., A. Monfort and C.P. Robert, 1999, Bayesian estimation of switching ARMA models. Journal of Econometrics, 93, 229-255. Caporale, Tony and Kevin B. Grier, 2000, Political Regime Change and the Real Interest Rate. Journal of Money, Credit, and Banking, 32(3), 320-34. Caporale, Tony, and Kevin B. Grier, 2005, Inflation, presidents, Fed Chairs and regime shifts in the US real interest rate. Journal of Money, Credit, and Banking, 37, 1153?163. Carter, C. K. and P. Kohn, 1994, On Gibbs sampling for state space models. Biometrica 81, 541-553. Chib, S., 1998, Estimation and comparison of multiple change-point models. Journal of Econometrics, 86, 221-241. Chib, S., and E. Greenberg, 1994, Bayes inference in regression models with ARMA(p,q) errors. Journal of Econometrics, 64, 183-206. Chib, S., and E. Greenberg, 1995, Understanding the Metropolis-Hastings Algorithm. The American Statistician, 49, 327-335. Cosslett, S.R. and L.-F. Lee, 1985, Serial correlation in latent discrete variable models. Journal of Econometrics 27, 79-97. Crowder, William J. and Dennis L. Hoffman, 1996, The Long-Run Relationship Between Nominal Interest Rates and Inflation: The Fisher Equation Revisited. Journal of Money, Credit, and Banking, 28(1), 102-18. De Jong, P. and N. Shephard, 1995, The simulation smoother for time series models. Biometrika, 82, 339-50. Diebolt, J. and Robert C.P., 1994, Estimation of finite mixture distributions by Bayesian sampling. Journal of the Royal Statistical Society (Series B), 56, 363-365. Fama, Eugene F., 1975, Short-Term Interest Rates as Predictors of Inflation. American Economic Review, 63(3), 269-82. Gali, Jordi, 1992, How Well Does the IS-LM Model Fit Postwar U.S. Data? Quarterly Journal of Economics, 107(2), 709-38. Garbade, Kenneth, and Paul Wachtel, 1978, Time Variation in the Relationship between Inflation and Interest Rates. Journal of Monetary Economics, 4, 755-765. Garcia, Rene and Pierre Perron, 1996, An Analysis of the Real Interest Rate Under Regime Shifts. Review of Economics and Statistics, 78(1), 111-25. Hamilton, J.D., 1988, Rational expectations econometric analysis of changes in regimes: An investigation of the term structure of interest rates. Journal of Economic Dynamics and Control, 12, 385-432. Hamilton, J.D., 1989, A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica, 57, 357-84. Harrison, P.J. and C.F. Stevens, 1976, Bayesian forecasting. Journal of the Royal Statistical Society B, 38, 205-247. Huizinga, John and Frederic S. Mishkin, 1986, Monetary Regime Shifts and the Unusual Behavior of Real Interest Rates. Carnegie-Rochester Conference Series on Public Policy, 24, 231-74. Kim, C.-J., 1994, Dynamic linear models with Markov-Switching. Journal of Econometrics, 60, 1-22. Kim, S., N. Shepard and S. Chib, 1998, Stochastic volatility: likelihood inference and comparison with ARCH models. Review of Economic Studies, 65, 361-93. King, Robert G., Charles I. Plosser, James H. Stock, and Mark W. Watson, 1991, Stochastic Trends and Economic Fluctuations, American Economic Review, 81(4), 819-40. Koop, G., 2003, Bayesian econometrics. John Wiley and Sons. Koustas, Zisimos and Apostolos Serletis, 1999, On the Fisher Effect. Journal of Monetary Economics, 44(1), 105-30. Liu, J.S., W.H. Wong and A. Kong, 1994, Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes. Biometrika, 81, 27-40. Mishkin, Frederic S., 1981, The Real Rate of Interest: An Empirical Investigation. CarnegieRochester Conference Series on Public Policy, 15, 151-200. Mishkin, Frederic S., 1992, Is the Fisher Effect for Real? A Reexamination of the Relationship Between Inflation and Interest Rates. Journal of Monetary Economics, 30(2), 195-215. Nakatsuma, T., 2000, Bayesian analysis of ARMA-GARCH models: a Markov chain sampling approach. Journal of Econometrics, 95, 57-69. Neely, C. J. and D. E. Rapach, 2008, Real interest rate persistence: evidence and implications. Working Paper 2008-018A, Federal Reserve Bank, St. Louis. Nelson, Charles R., and G. William Schwert, 1977, Short-Term Interest Rates as Predictors of Inflation: On Testing the Hypothesis that the Real Interest Rate is Constant. American Economic Review, 67(3), 478-86. Perron, Pierre, 1990, Testing for a Unit Root in a Time Series with a Changing Mean. Journal of Business and Economic Statistics, 8(2), 153-162. Rapach, David E., and Christian E. Weber, 2004, Are Real Interest Rates Really Nonstationary? New Evidence from Tests with Good Size and Power. Journal of Macroeconomics, 26(3), 409-30. Rose, Andrew K., 1988, Is the Real Interest Rate Stable? Journal of Finance, 43(5), 1095-112. Scott, S.L., 2002, Bayesian Methods for Hidden Markov Models: Recursive Computing in the 21st Century. Journal of the American Statistical Association, 97, 337-351. Shephard, N., 1994, Partial non-Gaussian state space. Biometrika, 81, 115-131. Sun, Yixiao, and Peter C.B. Phillips, 2004, Understanding the Fisher Equation. Journal of Applied Econometrics, 19(7), 869-86. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/51117 |