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Time-Varying Parameter VAR Model with Stochastic Volatility: An Overview of Methodology and Empirical Applications

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  • Jouchi Nakajima

    (Institute for Monetary and Economic Studies, Bank of Japan (Currently in the Personnel and Corporate Affairs Department , E-mail: jouchi.nakajima@stat.duke.edu))

Abstract

This paper aims to provide a comprehensive overview of the estimation methodology for the time-varying parameter structural vector autoregression (TVP-VAR) with stochastic volatility, in both methodology and empirical applications. The TVP-VAR model, combined with stochastic volatility, enables us to capture possible changes in underlying structure of the economy in a flexible and robust manner. In that respect, as shown in simulation exercises in the paper, the incorporation of stochastic volatility to the TVP estimation significantly improves estimation performance. The Markov chain Monte Carlo (MCMC) method is employed for the estimation of the TVP-VAR models with stochastic volatility. As an example of empirical application, the TVP-VAR model with stochastic volatility is estimated using the Japanese data with significant structural changes in dynamic relationship between the macroeconomic variables.

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Bibliographic Info

Paper provided by Institute for Monetary and Economic Studies, Bank of Japan in its series IMES Discussion Paper Series with number 11-E-09.

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Date of creation: Mar 2011
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Handle: RePEc:ime:imedps:11-e-09

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Related research

Keywords: Bayesian inference; Markov chain Monte Carlo; Monetary policy; State space model; Structural vector autoregression; Stochastic volatility; Time-varying parameter;

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References

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  1. Haroon Mumtaz & Paolo Surico, 2009. "Time-varying yield curve dynamics and monetary policy," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(6), pages 895-913.
  2. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
  3. Toshitaka Sekine & Yuki Teranishi, 2008. "Inflation Targeting and Monetary Policy Activism," IMES Discussion Paper Series 08-E-13, Institute for Monetary and Economic Studies, Bank of Japan.
  4. Sangjoon Kim & Neil Shephard & Siddhartha Chib, 1996. "Stochastic Volatility: Likelihood Inference And Comparison With Arch Models," Econometrics 9610002, EconWPA.
  5. Siddhartha Chib & Edward Greenberg, 1994. "Markov Chain Monte Carlo Simulation Methods in Econometrics," Econometrics 9408001, EconWPA, revised 24 Oct 1994.
  6. Jouchi Nakajima, 2011. "Monetary Policy Transmission under Zero Interest Rates: An Extended Time-Varying Parameter Vector Autoregression Approach," IMES Discussion Paper Series 11-E-08, Institute for Monetary and Economic Studies, Bank of Japan.
  7. Baumeister, Christiane & Benati, Luca, 2010. "Unconventional monetary policy and the great recession - Estimating the impact of a compression in the yield spread at the zero lower bound," Working Paper Series 1258, European Central Bank.
  8. Harald Uhlig, 1997. "Bayesian Vector Autoregressions with Stochastic Volatility," Econometrica, Econometric Society, vol. 65(1), pages 59-74, January.
  9. D'Agostino, Antonello & Gambetti, Luca & Giannone, Domenico & Giannone, Domenico, 2009. "Macroeconomic Forecasting and Structural Change," Research Technical Papers 8/RT/09, Central Bank of Ireland.
  10. Luca Benati & Paolo Surico, 2008. "Evolving U.S. Monetary Policy and The Decline of Inflation Predictability," Journal of the European Economic Association, MIT Press, vol. 6(2-3), pages 634-646, 04-05.
  11. Luca Benati, 2008. "The "Great Moderation" in the United Kingdom," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(1), pages 121-147, 02.
  12. Jouchi Nakajima & Yuki Teranishi, 2009. "The Evolution of Loan Rate Stickiness Across the Euro Area," IMES Discussion Paper Series 09-E-10, Institute for Monetary and Economic Studies, Bank of Japan.
  13. Korobilis, Dimitris, 2009. "Assessing the transmission of monetary policy using dynamic factor models," MPRA Paper 27593, University Library of Munich, Germany, revised Nov 2010.
  14. Nakajima, Jouchi & Kasuya, Munehisa & Watanabe, Toshiaki, 2011. "Bayesian analysis of time-varying parameter vector autoregressive model for the Japanese economy and monetary policy," Journal of the Japanese and International Economies, Elsevier, vol. 25(3), pages 225-245, September.
  15. Omori, Yasuhiro & Chib, Siddhartha & Shephard, Neil & Nakajima, Jouchi, 2007. "Stochastic volatility with leverage: Fast and efficient likelihood inference," Journal of Econometrics, Elsevier, vol. 140(2), pages 425-449, October.
  16. Koop, Gary & Korobilis, Dimitris, 2010. "Bayesian Multivariate Time Series Methods for Empirical Macroeconomics," Foundations and Trends(R) in Econometrics, now publishers, vol. 3(4), pages 267-358, July.
  17. Jouchi Nakajima & Shigenori Shiratsuka & Yuki Teranishi, 2010. "The Effects of Monetary Policy Commitment: Evidence from Time- varying Parameter VAR Analysis," IMES Discussion Paper Series 10-E-06, Institute for Monetary and Economic Studies, Bank of Japan.
  18. Eric M. Leeper & Christopher A. Sims & Tao Zha, 1996. "What Does Monetary Policy Do?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 27(2), pages 1-78.
  19. Toshitaka Sekine, 2006. "Time-varying exchange rate pass-through: experiences of some industrial countries," BIS Working Papers 202, Bank for International Settlements.
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Citations

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Cited by:
  1. Guangxi Cao, 2012. "Time-Varying Effects of Changes in the Interest Rate and the RMB Exchange Rate on the Stock Market of China: Evidence from the Long-Memory TVP-VAR Model," Emerging Markets Finance and Trade, M.E. Sharpe, Inc., vol. 48(0), pages 230-248, July.
  2. Jouchi Nakajima & Munehisa Kasuya & Toshiaki Watanabe, 2009. "Bayesian Analysis of Time-Varying Parameter Vector Autoregressive Model for the Japanese Economy and Monetary Policy," IMES Discussion Paper Series 09-E-13, Institute for Monetary and Economic Studies, Bank of Japan.
  3. Eddie Gerba & Klemens Hauzenberger, 2013. "Estimating US Fiscal and Monetary Interactions in a Time Varying VAR," Studies in Economics 1303, Department of Economics, University of Kent.
  4. Vittorio Peretti & Rangan Gupta & Roula Inglesi-Lotz, 2012. "Do House Prices Impact Consumption and Interest Rate in South Africa? Evidence from a Time-Varying Vector Autoregressive Model," Working Papers 201216, University of Pretoria, Department of Economics.
  5. Goodness C. Aye & Rangan Gupta & Mampho P. Modise, 2012. "Do Stock Prices Impact Consumption and Interest Rate in South Africa? Evidence from a Time-Varying Vector Autoregressive Model," Working Papers 201224, University of Pretoria, Department of Economics.
  6. Chance Mwabutwa & Manoel Bittencourt & Nicola Viegi, 2013. "Evolution of Monetary Policy Transmission Mechanism in Malawi: A TVP-VAR Approach," Working Papers 201327, University of Pretoria, Department of Economics.
  7. Pancrazi, Roberto & Vukotic, Marija, 2013. "Technology Persistence and Monetary Policy," The Warwick Economics Research Paper Series (TWERPS) 1013, University of Warwick, Department of Economics.
  8. Alexander Zimper, 2014. "The minimal confidence levels of Basel capital regulation," Journal of Banking Regulation, Palgrave Macmillan, vol. 15(2), pages 129-143, April.
  9. Jouchi Nakajima & Mike West, 2013. "Bayesian Analysis of Latent Threshold Dynamic Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 31(2), pages 151-164, April.
  10. Beatrice D. Simo-Kengne & Stephen M. Miller & Rangan Gupta, 2013. "Evolution of Monetary Policy in the US: The Role of Asset Prices," Working Papers 201343, University of Pretoria, Department of Economics.
  11. Beatrice D. Simo-Kengne & Stephen M. Miller & Rangan Gupta & Goodness C. Aye, 2013. "Time-Varying Effects of Housing and Stock Prices on U.S. Consumption," Working Papers 201325, University of Pretoria, Department of Economics.
  12. Banerjee, A. & Malik, S., 2012. "The changing role of expectations in US monetary policy: A new look using the Livingston Survey," Working papers 376, Banque de France.
  13. Rangan Gupta & Charl Jooste & Kanyane Matlou, 2013. "A Time-Varying Approach to Analysing Fiscal Policy and Asset Prices in South Africa," Working Papers 201303, University of Pretoria, Department of Economics.
  14. Kriwoluzky, Alexander & Kliem, Martin & Sarferaz, Samad, 2013. "On the low-frequency relationship between public deficits and inflation," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 80000, Verein für Socialpolitik / German Economic Association.
  15. Jaromir Baxa & Miroslav Plasil & Borek Vasicek, 2012. "Changes in Inflation Dynamics under Inflation Targeting? Evidence from Central European Countries," Working Papers 2012/04, Czech National Bank, Research Department.
  16. Michal Franta, 2011. "Identification of Monetary Policy Shocks in Japan Using Sign Restrictions within the TVP-VAR Framework," IMES Discussion Paper Series 11-E-13, Institute for Monetary and Economic Studies, Bank of Japan.
  17. Masazumi Hattori & Andreas Schrimpf & Vladyslav Sushko, 2013. "The response of tail risk perceptions to unconventional monetary policy," BIS Working Papers 425, Bank for International Settlements.

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