IDEAS home Printed from https://ideas.repec.org/p/fip/fedlwp/2010-029.html
   My bibliography  Save this paper

A Time-Varying Threshold STAR Model with Applications

Author

Listed:
  • Michael J. Dueker
  • Laura E. Jackson
  • Michael T. Owyang
  • Martin Sola

Abstract

Smooth-transition autoregressive (STAR) models, competitors of Markov-switching models, are limited by an assumed time-invariant threshold level. We augment the STAR model with a time-varying threshold that can be interpreted as a "tipping level" where the mean and dynamics of the VAR shift. Thus, the time-varying latent threshold level serves as a demarcation between regimes. We show how to estimate the model in a Bayesian framework using a Metropolis step and an unscented Kalman filter proposal. To show how allowing time variation in the threshold can affect the results, we present two applications: a model of the natural rate of unemployment and a model of regime-dependent government spending.

Suggested Citation

  • Michael J. Dueker & Laura E. Jackson & Michael T. Owyang & Martin Sola, 2010. "A Time-Varying Threshold STAR Model with Applications," Working Papers 2010-029, Federal Reserve Bank of St. Louis, revised 10 Aug 2022.
    • Handle: RePEc:fip:fedlwp:2010-029
    DOI: 10.20955/wp.2010.029
    as

    Download full text from publisher

    File URL: http://research.stlouisfed.org/wp/2010/2010-029.pdf
    File Function: Full text
    Download Restriction: no
    File URL: https://libkey.io/10.20955/wp.2010.029?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Dick van Dijk & Timo Terasvirta & Philip Hans Franses, 2002. "Smooth Transition Autoregressive Models — A Survey Of Recent Developments," Econometric Reviews, Taylor & Francis Journals, vol. 21(1), pages 1-47.
    2. Tara M. Sinclair, 2009. "The Relationships between Permanent and Transitory Movements in U.S. Output and the Unemployment Rate," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(2-3), pages 529-542, March.
    3. K. S. Chan & H. Tong, 1986. "On Estimating Thresholds In Autoregressive Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 7(3), pages 179-190, May.
    4. Ana Beatriz Galvão & Michael T. Owyang, 2018. "Financial Stress Regimes and the Macroeconomy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(7), pages 1479-1505, October.
    5. Basistha, Arabinda & Nelson, Charles R., 2007. "New measures of the output gap based on the forward-looking new Keynesian Phillips curve," Journal of Monetary Economics, Elsevier, vol. 54(2), pages 498-511, March.
    6. Laurence Ball & N. Gregory Mankiw, 2002. "The NAIRU in Theory and Practice," Journal of Economic Perspectives, American Economic Association, vol. 16(4), pages 115-136, Fall.
    7. Clark, Peter K., 1989. "Trend reversion in real output and unemployment," Journal of Econometrics, Elsevier, vol. 40(1), pages 15-32, January.
    8. Michael T. Owyang, 2001. "Persistence, excess volatility, and volatility clusters in inflation," Review, Federal Reserve Bank of St. Louis, vol. 83(Nov.), pages 41-52.
    9. Alan J. Auerbach & Yuriy Gorodnichenko, 2012. "Fiscal Multipliers in Recession and Expansion," NBER Chapters, in: Fiscal Policy after the Financial Crisis, pages 63-98, National Bureau of Economic Research, Inc.
    10. Philippe J. Deschamps, 2008. "Comparing smooth transition and Markov switching autoregressive models of US unemployment," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(4), pages 435-462.
    11. Giovanni Caggiano & Efrem Castelnuovo & Valentina Colombo & Gabriela Nodari, 2015. "Estimating Fiscal Multipliers: News From A Non‐linear World," Economic Journal, Royal Economic Society, vol. 0(584), pages 746-776, May.
    12. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    13. Philippe J. Deschamps, 2008. "Comparing smooth transition and Markov switching autoregressive models of US unemployment," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(4), pages 435-462.
    14. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
    15. Gordon, Robert J, 1995. "Is There a Trade-off between Unemployment and Productivity Growth?," CEPR Discussion Papers 1159, C.E.P.R. Discussion Papers.
    16. Chib, Siddhartha & Greenberg, Edward, 1996. "Markov Chain Monte Carlo Simulation Methods in Econometrics," Econometric Theory, Cambridge University Press, vol. 12(3), pages 409-431, August.
    17. Stacey L. Schreft & Aarti Singh, 2003. "A closer look at jobless recoveries," Economic Review, Federal Reserve Bank of Kansas City, vol. 88(Q II), pages 45-73.
    18. Rothman, Philip & van Dijk, Dick & , Philip Hans, 2001. "Multivariate Star Analysis Of Money–Output Relationship," Macroeconomic Dynamics, Cambridge University Press, vol. 5(4), pages 506-532, September.
    19. Gali, Jordi & Gertler, Mark & David Lopez-Salido, J., 2005. "Robustness of the estimates of the hybrid New Keynesian Phillips curve," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1107-1118, September.
    20. Robert J. Gordon, 1997. "The Time-Varying NAIRU and Its Implications for Economic Policy," Journal of Economic Perspectives, American Economic Association, vol. 11(1), pages 11-32, Winter.
    21. Michael T. Owyang & Valerie A. Ramey & Sarah Zubairy, 2013. "Are government spending multipliers greater during periods of slack? evidence from 20th century historical data," Working Papers 2013-004, Federal Reserve Bank of St. Louis.
    22. Engemann, Kristie M. & Owyang, Michael T., 2010. "Whatever Happened To The Business Cycle? A Bayesian Analysis Of Jobless Recoveries," Macroeconomic Dynamics, Cambridge University Press, vol. 14(5), pages 709-726, November.
    23. Michael T. Owyang & Valerie A. Ramey & Sarah Zubairy, 2013. "Are Government Spending Multipliers Greater during Periods of Slack? Evidence from Twentieth-Century Historical Data," American Economic Review, American Economic Association, vol. 103(3), pages 129-134, May.
    24. Jaeger, Albert & Parkinson, Martin, 1994. "Some evidence on hysteresis in unemployment rates," European Economic Review, Elsevier, vol. 38(2), pages 329-342, February.
    25. Chinhui Juhn & Simon Potter & Marcelle Chauvet, 2002. "Markov switching in disaggregate unemployment rates," Empirical Economics, Springer, vol. 27(2), pages 205-232.
    26. Chib, Siddhartha, 1993. "Bayes regression with autoregressive errors : A Gibbs sampling approach," Journal of Econometrics, Elsevier, vol. 58(3), pages 275-294, August.
    27. Summers, Lawrence H., 1986. "Estimating the long-run relationship between interest rates and inflation: A response to McCallum," Journal of Monetary Economics, Elsevier, vol. 18(1), pages 77-86, July.
    28. Michael J. Dueker & Zacharias Psaradakis & Martin Sola & Fabio Spagnolo, 2010. "State-Dependent Threshold STAR Models," UFAE and IAE Working Papers 818.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    29. Skalin, Joakim & Teräsvirta, Timo, 2002. "Modeling Asymmetries And Moving Equilibria In Unemployment Rates," Macroeconomic Dynamics, Cambridge University Press, vol. 6(2), pages 202-241, April.
    30. Phelps, Edmund S & Zoega, Gylfi, 1998. "Natural-Rate Theory and OECD Unemployment," Economic Journal, Royal Economic Society, vol. 108(448), pages 782-801, May.
    31. Valerie A. Ramey & Sarah Zubairy, 2018. "Government Spending Multipliers in Good Times and in Bad: Evidence from US Historical Data," Journal of Political Economy, University of Chicago Press, vol. 126(2), pages 850-901.
    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. Zhu, Yanli & Chen, Haiqiang, 2017. "The asymmetry of U.S. monetary policy: Evidence from a threshold Taylor rule with time-varying threshold values," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 522-535.
    2. Lixiong Yang & Chingnun Lee & I‐Po Chen, 2021. "Threshold model with a time‐varying threshold based on Fourier approximation," Journal of Time Series Analysis, Wiley Blackwell, vol. 42(4), pages 406-430, July.

    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. Ubilava, David, 2017. "The ENSO Effect and Asymmetries in Wheat Price Dynamics," World Development, Elsevier, vol. 96(C), pages 490-502.
    2. Goodwin, Barry K. & Holt, Matthew T. & Prestemon, Jeffrey P., 2019. "Nonlinear exchange rate pass-through in timber products: The case of oriented strand board in Canada and the United States," The North American Journal of Economics and Finance, Elsevier, vol. 50(C).
    3. Valerie A. Ramey & Sarah Zubairy, 2018. "Government Spending Multipliers in Good Times and in Bad: Evidence from US Historical Data," Journal of Political Economy, University of Chicago Press, vol. 126(2), pages 850-901.
    4. Ana Beatriz Galvão & Michael T. Owyang, 2018. "Financial Stress Regimes and the Macroeconomy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(7), pages 1479-1505, October.
    5. Mario Alloza, 2014. "Is Fiscal Policy More Effective in Uncertain Times or During Recessions?," Discussion Papers 1631, Centre for Macroeconomics (CFM), revised Oct 2016.
    6. Yifei Lyu & Eul Noh, 2022. "Cyclical variation in US government spending multipliers," Economic Inquiry, Western Economic Association International, vol. 60(2), pages 831-846, April.
    7. Dell'Erba, Salvatore & Koloskova, Ksenia & Poplawski-Ribeiro, Marcos, 2018. "Medium-term fiscal multipliers during protracted economic contractions," Journal of Macroeconomics, Elsevier, vol. 56(C), pages 35-52.
    8. Jia, Bijie & Kim, Hyeongwoo, 2015. "Government Spending Shocks and Private Activity: The Role of Sentiments," MPRA Paper 66263, University Library of Munich, Germany.
    9. Ramey, V.A., 2016. "Macroeconomic Shocks and Their Propagation," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 71-162, Elsevier.
    10. Mario Di Serio & Matteo Fragetta & Emanuel Gasteiger, 2020. "The Government Spending Multiplier at the Zero Lower Bound: Evidence from the United States," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(6), pages 1262-1294, December.
    11. Alberto Alesina & Gualtiero Azzalini & Carlo Favero & Francesco Giavazzi & Armando Miano, 2018. "Is it the “How” or the “When” that Matters in Fiscal Adjustments?," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 66(1), pages 144-188, March.
    12. Anoop Chaturvedi & Shivam Jaiswal, 2020. "Bayesian Estimation and Unit Root Test for Logistic Smooth Transition Autoregressive Process," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 18(4), pages 733-745, December.
    13. Giovanni Pellegrino, 2021. "Uncertainty and monetary policy in the US: A journey into nonlinear territory," Economic Inquiry, Western Economic Association International, vol. 59(3), pages 1106-1128, July.
    14. Michael B. Devereux, 2018. "International Fiscal Spillovers: A Review Essay," Korean Economic Review, Korean Economic Association, vol. 34, pages 29-50.
    15. Andrea Boitani & Salvatore Perdichizzi, 2018. "Public Expenditure Multipliers in recessions. Evidence from the Eurozone," DISCE - Working Papers del Dipartimento di Economia e Finanza def068, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    16. Regis Barnichon & Davide Debortoli & Christian Matthes, 2022. "Understanding the Size of the Government Spending Multiplier: It’s in the Sign," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(1), pages 87-117.
    17. Glen Livingston & Darfiana Nur, 2020. "Bayesian inference of smooth transition autoregressive (STAR)(k)–GARCH(l, m) models," Statistical Papers, Springer, vol. 61(6), pages 2449-2482, December.
    18. Keränen, Henri & Kuusi, Tero, 2016. "The EU’s Fiscal Targets and Their Economic Impact in Finland," ETLA Working Papers 33, The Research Institute of the Finnish Economy.
    19. Bonciani, Dario, 2015. "Estimating the effects of uncertainty over the business cycle," MPRA Paper 65921, University Library of Munich, Germany.
    20. Hyeongwoo Kim, 2018. "Fiscal Policy, Wages, and Jobs in the U.S," Auburn Economics Working Paper Series auwp2018-02, Department of Economics, Auburn University.

    More about this item

    Keywords

    regime switching; smooth-transition autoregressive model; unemployment; nonlinear models;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:fip:fedlwp:2010-029. 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: Anna Oates (email available below). General contact details of provider: https://edirc.repec.org/data/frbslus.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.