IDEAS home Printed from https://ideas.repec.org/p/esj/esridp/206.html
   My bibliography  Save this paper

Dynamic Stochastic General Equilibrium Models Under a Liquidity Trap and Self-organizing State Space Modeling

Author

Listed:
  • YANO Koiti

Abstract

This paper proposes a new method to estimate parameters of dynamic general equilibrium models under a liquidity trap based on the Monte Carlo particle filter, proposed by Kitagawa (1996) and Gordon et al. (1993), and a self-organizing state space model, proposed by Kitagawa (1998). This method is a natural extension of Yano (2009). In our method, we estimate the parameters using the time-varying-parameter approach, which is often used to infer invariant parameters practically. Our method is based on Bayesian statistics and nonlinear, non-Gaussian, and non-stationary state space modeling to estimate unknown parameters and states. In most previous papers on DSGE models, structural parameters of them are assumed to be "deep (invariant)." Our method, however, analyzes how stable structural parameters are. Adopting it creates the great advantage that the structural changes of parameters are detected naturally. The second advantage of our method is that we are able to estimate new Keynesian DSGE models under a liquidity trap (Krugman (1998)) because nonlinear,non-Gaussian, and non-stationary state space models allow model switching. In our method, the fit of a DSGE model is evaluated using the log-likelihood of it. Thus, we are able to compare the fits of DSGE models. Moreover, we estimate time-varying trends of macroeconomic data: real output, inflation rate, and real interest rate. Our method is an alternative to detrending methods based on the Hodrick-Prescott filter, the Baxter-King filter, the Christiano-Fitzgerald filter, and other filtering algorithms. In our framework, we emphasize that natural rates of macroeconomic data, time-varying parameters, and unknown states are estimated simultaneously. In empirical analysis, we estimate new Keynesian DSGE models under a liquidity trap using Japanese macroeconomic data which includes the "zero-interest-rate" period (1999-2006). The analysis shows that the growth rate of natural output declines in the late 1990s, but, becomes as high as about 2% in the mid-2000s. The target rate of inflation is too low in the 1990s and the 2000s, and it causes deflation in the Japanese economy.

Suggested Citation

  • YANO Koiti, 2009. "Dynamic Stochastic General Equilibrium Models Under a Liquidity Trap and Self-organizing State Space Modeling," ESRI Discussion paper series 206, Economic and Social Research Institute (ESRI).
  • Handle: RePEc:esj:esridp:206
    as

    Download full text from publisher

    File URL: http://www.esri.go.jp/jp/archive/e_dis/e_dis210/e_dis206a.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Amisano, Gianni & Tristani, Oreste, 2010. "Euro area inflation persistence in an estimated nonlinear DSGE model," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 1837-1858, October.
    2. Hibiki Ichiue & Takushi Kurozumi & Takeki Sunakawa, 2013. "Inflation Dynamics And Labor Market Specifications: A Bayesian Dynamic Stochastic General Equilibrium Approach For Japan'S Economy," Economic Inquiry, Western Economic Association International, vol. 51(1), pages 273-287, January.
    3. Adam, Klaus & Billi, Roberto M., 2006. "Optimal Monetary Policy under Commitment with a Zero Bound on Nominal Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(7), pages 1877-1905, October.
    4. Michael Dotsey & Robert G. King & Alexander L. Wolman, 1999. "State-Dependent Pricing and the General Equilibrium Dynamics of Money and Output," The Quarterly Journal of Economics, Oxford University Press, vol. 114(2), pages 655-690.
    5. Bakhshi, Hasan & Khan, Hashmat & Rudolf, Barbara, 2007. "The Phillips curve under state-dependent pricing," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2321-2345, November.
    6. Ricardo J. Caballero & Takeo Hoshi & Anil K. Kashyap, 2008. "Zombie Lending and Depressed Restructuring in Japan," American Economic Review, American Economic Association, vol. 98(5), pages 1943-1977, December.
    7. Sungbae An & Frank Schorfheide, 2007. "Bayesian Analysis of DSGE Models—Rejoinder," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 211-219.
    8. Marianne Baxter & Robert G. King, 1999. "Measuring Business Cycles: Approximate Band-Pass Filters For Economic Time Series," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 575-593, November.
    9. Svensson, Lars-E-O, 2001. "The Zero Bound in an Open Economy: A Foolproof Way of Escaping from a Liquidity Trap," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 19(S1), pages 277-312, February.
    10. Henderson, Dale W. & McKibbin, Warwick J., 1993. "A comparison of some basic monetary policy regimes for open economies: implications of different degrees of instrument adjustment and wage persistence," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 221-317, December.
    11. Mark Gertler & John Leahy, 2008. "A Phillips Curve with an Ss Foundation," Journal of Political Economy, University of Chicago Press, vol. 116(3), pages 533-572, June.
    12. Yasuo Hirose & Saori Naganuma, 2010. "Structural Estimation Of The Output Gap: A Bayesian Dsge Approach," Economic Inquiry, Western Economic Association International, vol. 48(4), pages 864-879, October.
    13. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    14. Andrew T. Levin & Alexei Onatski & John Williams & Noah M. Williams, 2006. "Monetary Policy under Uncertainty in Micro-Founded Macroeconometric Models," NBER Chapters, in: NBER Macroeconomics Annual 2005, Volume 20, pages 229-312, National Bureau of Economic Research, Inc.
    15. Alessandro Cigno & Annalisa Luporini, 2018. "On the evolution of individual preferences and family rules," Working Paper series 18-07, Rimini Centre for Economic Analysis.
    16. Trehan, Bharat & Wu, Tao, 2007. "Time-varying equilibrium real rates and monetary policy analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1584-1609, May.
    17. Alejandro Justiniano & Giorgio E. Primiceri, 2008. "The Time-Varying Volatility of Macroeconomic Fluctuations," American Economic Review, American Economic Association, vol. 98(3), pages 604-641, June.
    18. Carl E. Walsh, 2003. "Monetary Theory and Policy, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232316, December.
    19. Juan F. Rubio-Ramirez & Jesus Fernández-Villaverde, 2005. "Estimating dynamic equilibrium economies: linear versus nonlinear likelihood," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(7), pages 891-910.
    20. R. Anton Braun & Yuichiro Waki, 2006. "Monetary Policy During Japan'S Lost Decade," The Japanese Economic Review, Japanese Economic Association, vol. 57(2), pages 324-344, June.
    21. Lubik, Thomas A. & Schorfheide, Frank, 2003. "Computing sunspot equilibria in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 273-285, November.
    22. Iiboshi, Hirokuni & Nishiyama, Shin-Ichi & Watanabe, Toshiaki, 2006. "An Estimated Dynamic Stochastic General Equilibrium Model of the Japanese Economy: A Bayesian Analysis," MPRA Paper 85702, University Library of Munich, Germany.
    23. Koiti Yano, 2008. "A self-organizing state space model and simplex initial distribution search," Computational Statistics, Springer, vol. 23(2), pages 197-216, April.
    24. Gauti B. Eggertsson & Benjamin Pugsley, 2006. "The Mistake of 1937: A General Equilibrium Analysis," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 24(S1), pages 151-190, December.
    25. McCallum, Bennett T & Nelson, Edward, 1999. "An Optimizing IS-LM Specification for Monetary Policy and Business Cycle Analysis," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(3), pages 296-316, August.
    26. Fujiwara, Ippei, 2007. "Is there a direct effect of money?: Money's role in an estimated monetary business cycle model of the Japanese economy," Japan and the World Economy, Elsevier, vol. 19(3), pages 329-337, August.
    27. Jung, Taehun & Teranishi, Yuki & Watanabe, Tsutomu, 2005. "Optimal Monetary Policy at the Zero-Interest-Rate Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(5), pages 813-835, October.
    28. Sungbae An & Frank Schorfheide, 2007. "Bayesian Analysis of DSGE Models," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 113-172.
    29. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
    30. Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, May.
    31. Thomas Laubach & John C. Williams, 2003. "Measuring the Natural Rate of Interest," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1063-1070, November.
    32. Gauti B. Eggertsson & Michael Woodford, 2003. "The Zero Bound on Interest Rates and Optimal Monetary Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(1), pages 139-235.
    33. Sekine, Toshitaka & Kobayashi, Keiichiro & Saita, Yumi, 2003. "Forbearance Lending: The Case of Japanese Firms," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 21(2), pages 69-92, August.
    34. Hiroshi Ugai, 2007. "Effects of the Quantitative Easing Policy: A Survey of Empirical Analyses," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 25(1), pages 1-48, March.
    35. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    36. Fuchi, Hitoshi & Muto, Ichiro & Ugai, Hiroshi, 2005. "A Historical Evaluation of Financial Accelerator Effects in Japan's Economy," MPRA Paper 4648, University Library of Munich, Germany.
    37. Frank Smets & Rafael Wouters, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," American Economic Review, American Economic Association, vol. 97(3), pages 586-606, June.
    38. Kimball, Miles S, 1995. "The Quantitative Analytics of the Basic Neomonetarist Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1241-1277, November.
    39. Bennett T. McCallum, 2000. "Theoretical analysis regarding a zero lower bound on nominal interest rates," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, pages 870-935.
    40. David N. DeJong & Chetan Dave, 2007. "Introduction to Structural Macroeconometrics," Introductory Chapters, in: Structural Macroeconometrics, Princeton University Press.
    41. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    42. Nakajima, Tomoyuki, 2008. "Liquidity trap and optimal monetary policy in open economies," Journal of the Japanese and International Economies, Elsevier, vol. 22(1), pages 1-33, March.
    43. Roberts, John M, 1995. "New Keynesian Economics and the Phillips Curve," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 975-984, November.
    44. Hilde Bjørnland & Kai Leitemo & Junior Maih, 2011. "Estimating the natural rates in a simple New Keynesian framework," Empirical Economics, Springer, vol. 40(3), pages 755-777, May.
    45. Giorgio E. Primiceri, 2005. "Time Varying Structural Vector Autoregressions and Monetary Policy," Review of Economic Studies, Oxford University Press, vol. 72(3), pages 821-852.
    46. Kenneth N. Kuttner & Adam S. Posen, 2001. "The Great Recession: Lessons for Macroeconomic Policy from Japan," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 32(2), pages 93-186.
    47. Satoshi Urasawa, 2008. "Business cycle fluctuations in Japanese macroeconomic time series: 1980–2000," Journal of the Asia Pacific Economy, Taylor & Francis Journals, vol. 13(4), pages 451-480.
    48. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
    49. Yun, Tack, 1996. "Nominal price rigidity, money supply endogeneity, and business cycles," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 345-370, April.
    50. Frank Smets & Raf Wouters, 2003. "An Estimated Dynamic Stochastic General Equilibrium Model of the Euro Area," Journal of the European Economic Association, MIT Press, vol. 1(5), pages 1123-1175, September.
    51. Yasuo Hirose & Saori Naganuma, 2007. "Structural Estimation of the Output Gap: A Bayesian DSGE Approach for the U.S. Economy," Bank of Japan Working Paper Series 07-E-24, Bank of Japan.
    52. R. Anton Braun & Etsuro Shioji, 2003. "Monetary Policy and Economic Activity in Japan and the United States," CIRJE F-Series CIRJE-F-251, CIRJE, Faculty of Economics, University of Tokyo.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Schenkelberg, Heike & Watzka, Sebastian, 2013. "Real effects of quantitative easing at the zero lower bound: Structural VAR-based evidence from Japan," Journal of International Money and Finance, Elsevier, vol. 33(C), pages 327-357.
    2. Yasuharu Iwata, 2011. "The Government Spending Multiplier and Fiscal Financing: Insights from Japan," International Finance, Wiley Blackwell, vol. 14(2), pages 231-264, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. YANO Koiti, 2010. "Time-varying Analysis of Dynamic Stochastic General Equilibrium Models Based on Sequential Monte Carlo Methods," ESRI Discussion paper series 231, Economic and Social Research Institute (ESRI).
    2. Thorvardur Tjörvi Ólafsson, 2006. "The New Keynesian Phillips Curve: In Search of Improvements and Adaptation to the Open Economy," Economics wp31_tjorvi, Department of Economics, Central bank of Iceland.
    3. Lindé, Jesper & Smets, Frank & Wouters, Rafael, 2016. "Challenges for Central Banks´ Macro Models," Working Paper Series 323, Sveriges Riksbank (Central Bank of Sweden).
    4. Lindé, J. & Smets, F. & Wouters, R., 2016. "Challenges for Central Banks’ Macro Models," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2185-2262, Elsevier.
    5. Guido Ascari & Argia M. Sbordone, 2014. "The Macroeconomics of Trend Inflation," Journal of Economic Literature, American Economic Association, vol. 52(3), pages 679-739, September.
    6. Gregory E. Givens, 2012. "Estimating Central Bank Preferences under Commitment and Discretion," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(6), pages 1033-1061, September.
    7. Fernández-Villaverde, J. & Rubio-Ramírez, J.F. & Schorfheide, F., 2016. "Solution and Estimation Methods for DSGE Models," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 527-724, Elsevier.
    8. Emi Nakamura & Jón Steinsson, 2010. "Monetary Non-neutrality in a Multisector Menu Cost Model," The Quarterly Journal of Economics, Oxford University Press, vol. 125(3), pages 961-1013.
    9. Lhuissier, Stéphane & Zabelina, Margarita, 2015. "On the stability of Calvo-style price-setting behavior," Journal of Economic Dynamics and Control, Elsevier, vol. 57(C), pages 77-95.
    10. Ahrens, Steffen & Hartmann, Matthias, 2014. "State-dependence vs. timedependence: An empirical multi-country investigation of price sluggishness," Kiel Working Papers 1907, Kiel Institute for the World Economy (IfW Kiel).
    11. Ricardo Nunes & Jinill Kim & Jesper Linde & Davide Debortoli, 2014. "Designing a Simple Loss Function for the Fed: Does the Dual Mandate Make Sense?," 2014 Meeting Papers 1043, Society for Economic Dynamics.
    12. Jesper Lindé & Mathias Trabandt, 2018. "Should we use linearized models to calculate fiscal multipliers?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(7), pages 937-965, November.
    13. Wieland, Volker & Cwik, Tobias & Müller, Gernot J. & Schmidt, Sebastian & Wolters, Maik, 2012. "A new comparative approach to macroeconomic modeling and policy analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 83(3), pages 523-541.
    14. David Altig & Lawrence Christiano & Martin Eichenbaum & Jesper Linde, 2011. "Firm-Specific Capital, Nominal Rigidities and the Business Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(2), pages 225-247, April.
    15. Luca Sala, 2015. "Dsge Models in the Frequency Domains," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(2), pages 219-240, March.
    16. Mariusz Górajski & Zbigniew Kuchta, 2022. "Which hallmarks of optimal monetary policy rules matter in Poland? A stochastic dominance approach," Bank i Kredyt, Narodowy Bank Polski, vol. 53(2), pages 149-182.
    17. Harding, Martín & Lindé, Jesper & Trabandt, Mathias, 2022. "Resolving the missing deflation puzzle," Journal of Monetary Economics, Elsevier, vol. 126(C), pages 15-34.
    18. Khan, Hashmat, 2005. "Price-setting behaviour, competition, and markup shocks in the new Keynesian model," Economics Letters, Elsevier, vol. 87(3), pages 329-335, June.
    19. Dai, Meixing, 2011. "Quantitative and credit easing policies at the zero lower bound on the nominal interest rate," MPRA Paper 28129, University Library of Munich, Germany.
    20. Ida, Daisuke, 2013. "Optimal monetary policy rules in a two-country economy with a zero bound on nominal interest rates," The North American Journal of Economics and Finance, Elsevier, vol. 24(C), pages 223-242.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:esj:esridp:206. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: HORI nobuko (email available below). General contact details of provider: https://edirc.repec.org/data/esrgvjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.