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Panel Smooth Transition Regression Models

Author

Listed:
  • Andrés González

    (Banco de la Republica, Bogota, Colombia)

  • Timo Teräsvirta

    (CREATES, Aarhus University, C.A.S.E., Humboldt-Universität zu Berlin)

  • Dick van Dijk

    (Econometric Institute, Erasmus University Rotterdam, Erasmus Research Institute of Management (ERIM), Tinbergen Institute)

  • Yukai Yang

    (Department of Statistics, Uppsala University, Center for Economic Statistics, Stockholm School of Economics)

Abstract

We introduce the panel smooth transition regression model. This new model is intended for characterizing heterogeneous panels, allowing the regression coefficients to vary both across individuals and over time. Specifically, heterogeneity is allowed for by assuming that these coefficients are bounded continuous functions of an observable variable and fluctuate between a limited number of "extreme regimes". The model can be viewed as a generalization of the threshold panel model of Hansen (1999). We extend the modelling strategy originally designed for univariate smooth transition regression models to the panel context. The strategy consists of model specification based on homogeneity tests, parameter estimation, and model evaluation, including tests of parameter constancy and no remaining heterogeneity. The model is applied to describing firms' investment decisions in the presence of capital market imperfections.

Suggested Citation

  • Andrés González & Timo Teräsvirta & Dick van Dijk & Yukai Yang, 2017. "Panel Smooth Transition Regression Models," CREATES Research Papers 2017-36, Department of Economics and Business Economics, Aarhus University.
  • Handle: RePEc:aah:create:2017-36
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    1. Raphael Espinoza & Hyginus Leon & Ananthakrishnan Prasad, 2012. "When Should We Worry about Inflation?," The World Bank Economic Review, World Bank Group, vol. 26(1), pages 100-127.
    2. Gilchrist, Simon & Himmelberg, Charles P., 1995. "Evidence on the role of cash flow for investment," Journal of Monetary Economics, Elsevier, vol. 36(3), pages 541-572, December.
    3. Bessec, Marie & Fouquau, Julien, 2008. "The non-linear link between electricity consumption and temperature in Europe: A threshold panel approach," Energy Economics, Elsevier, vol. 30(5), pages 2705-2721, September.
    4. Pesaran, M. Hashem, 2015. "Time Series and Panel Data Econometrics," OUP Catalogue, Oxford University Press, number 9780198759980.
    5. Delatte, Anne-Laure & Gex, Mathieu & López-Villavicencio, Antonia, 2012. "Has the CDS market influenced the borrowing cost of European countries during the sovereign crisis?," Journal of International Money and Finance, Elsevier, vol. 31(3), pages 481-497.
    6. Cheng, Che-Hui & Wu, Po-Chin, 2013. "Nonlinear earnings persistence," International Review of Economics & Finance, Elsevier, vol. 25(C), pages 156-168.
    7. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-430, March.
    8. 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.
    9. Geng, Nan, 2011. "The dynamics of market structure and firm-level adjustment to India's pro-market economic liberalizing reforms, 1988-2006: A Time Varying Panel Smooth Transition Regression (TV-PSTR) approach," International Review of Economics & Finance, Elsevier, vol. 20(4), pages 506-519, October.
    10. Timothy Erickson & Toni M. Whited, 2000. "Measurement Error and the Relationship between Investment and q," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 1027-1057, October.
    11. A. Colin Cameron & Jonah B. Gelbach & Douglas L. Miller, 2008. "Bootstrap-Based Improvements for Inference with Clustered Errors," The Review of Economics and Statistics, MIT Press, vol. 90(3), pages 414-427, August.
    12. Aslanidis, Nektarios & Xepapadeas, Anastasios, 2006. "Smooth transition pollution-income paths," Ecological Economics, Elsevier, vol. 57(2), pages 182-189, May.
    13. Whited, Toni M, 1992. "Debt, Liquidity Constraints, and Corporate Investment: Evidence from Panel Data," Journal of Finance, American Finance Association, vol. 47(4), pages 1425-1460, September.
    14. Jansen, Eilev S & Terasvirta, Timo, 1996. "Testing Parameter Constancy and Super Exogeneity in Econometric Equations," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(4), pages 735-763, November.
    15. Fouquau, Julien & Hurlin, Christophe & Rabaud, Isabelle, 2008. "The Feldstein-Horioka puzzle: A panel smooth transition regression approach," Economic Modelling, Elsevier, vol. 25(2), pages 284-299, March.
    16. Anne-Laure Delatte & Julien Fouquau & Richard Portes, 2017. "Regime-Dependent Sovereign Risk Pricing During the Euro Crisis," Review of Finance, European Finance Association, vol. 21(1), pages 363-385.
    17. Fouquau, Julien & Hurlin, Christophe & Rabaud, Isabelle, 2008. "The Feldstein-Horioka puzzle: A panel smooth transition regression approach," Economic Modelling, Elsevier, vol. 25(2), pages 284-299, March.
    18. Fouquau, Julien & Hurlin, Christophe & Rabaud, Isabelle, 2008. "The Feldstein-Horioka puzzle: A panel smooth transition regression approach," Economic Modelling, Elsevier, vol. 25(2), pages 284-299, March.
    19. Armen Hovakimian & Gayané Hovakimian, 2009. "Cash Flow Sensitivity of Investment," European Financial Management, European Financial Management Association, vol. 15(1), pages 47-65, January.
    20. Patrick Sevestre & Laszlo Matyas, 2008. "The Econometrics of Panel Data," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00279977, HAL.
    21. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    22. Seleteng, Monaheng & Bittencourt, Manoel & van Eyden, Reneé, 2013. "Non-linearities in inflation–growth nexus in the SADC region: A panel smooth transition regression approach," Economic Modelling, Elsevier, vol. 30(C), pages 149-156.
    23. Allegret, Jean-Pierre & Couharde, Cécile & Coulibaly, Dramane & Mignon, Valérie, 2014. "Current accounts and oil price fluctuations in oil-exporting countries: The role of financial development," Journal of International Money and Finance, Elsevier, vol. 47(C), pages 185-201.
    24. Giacomini, Raffaella & Politis, Dimitris N. & White, Halbert, 2013. "A Warp-Speed Method For Conducting Monte Carlo Experiments Involving Bootstrap Estimators," Econometric Theory, Cambridge University Press, vol. 29(3), pages 567-589, June.
    25. Steven M. Fazzari & R. Glenn Hubbard & Bruce C. Petersen, 1988. "Financing Constraints and Corporate Investment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 19(1), pages 141-206.
    26. R. Glenn Hubbard, 1998. "Capital-Market Imperfections and Investment," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 193-225, March.
    27. Øivind Anti Nilsen & Fabio Schiantarelli, 2003. "Zeros and Lumps in Investment: Empirical Evidence on Irreversibilities and Nonconvexities," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1021-1037, November.
    28. Eitrheim, Oyvind & Terasvirta, Timo, 1996. "Testing the adequacy of smooth transition autoregressive models," Journal of Econometrics, Elsevier, vol. 74(1), pages 59-75, September.
    29. Barnett, Steven A. & Sakellaris, Plutarchos, 1998. "Nonlinear response of firm investment to Q:: Testing a model of convex and non-convex adjustment costs1," Journal of Monetary Economics, Elsevier, vol. 42(2), pages 261-288, July.
    30. Arellano, M, 1987. "Computing Robust Standard Errors for Within-Groups Estimators," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 49(4), pages 431-434, November.
    31. Heitor Almeida & Murillo Campello, 2007. "Financial Constraints, Asset Tangibility, and Corporate Investment," Review of Financial Studies, Society for Financial Studies, vol. 20(5), pages 1429-1460, 2007 12.
    32. Hovakimian, Gayane & Titman, Sheridan, 2006. "Corporate Investment with Financial Constraints: Sensitivity of Investment to Funds from Voluntary Asset Sales," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(2), pages 357-374, March.
    33. Robert E. Carpenter & Steven M. Fazzari & Bruce C. Petersen, 1994. "Inventory (Dis)Investment, Internal Finance Fluctuations, and the Business Cycle," Macroeconomics 9401001, University Library of Munich, Germany.
    34. Bronwyn H. Hall & Robert E. Hall, 1993. "The Value and Performance of U.S. Corporations," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 24(1), pages 1-50.
    35. Fouquau, Julien & Hurlin, Christophe & Rabaud, Isabelle, 2008. "The Feldstein-Horioka puzzle: A panel smooth transition regression approach," Economic Modelling, Elsevier, vol. 25(2), pages 284-299, March.
    36. Christopher A. Hennessy, 2004. "Tobin's "Q", Debt Overhang, and Investment," Journal of Finance, American Finance Association, vol. 59(4), pages 1717-1742, August.
    37. Chuluun, Tuugi & Eun, Cheol S. & Kiliç, Rehim, 2011. "Investment intensity of currencies and the random walk hypothesis: Cross-currency evidence," Journal of Banking & Finance, Elsevier, vol. 35(2), pages 372-387, February.
    38. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
    39. Baltagi, Badi H. & Li, Qi, 1995. "Testing AR(1) against MA(1) disturbances in an error component model," Journal of Econometrics, Elsevier, vol. 68(1), pages 133-151, July.
    40. Barry K. Goodwin & Matthew T. Holt & Jeffrey P. Prestemon, 2011. "North American Oriented Strand Board Markets, Arbitrage Activity, and Market Price Dynamics: A Smooth Transition Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 93(4), pages 993-1014.
    41. Nathalie Moyen, 2004. "Investment-Cash Flow Sensitivities: Constrained versus Unconstrained Firms," Journal of Finance, American Finance Association, vol. 59(5), pages 2061-2092, October.
    42. Fouquau, Julien & Hurlin, Christophe & Rabaud, Isabelle, 2008. "The Feldstein-Horioka puzzle: A panel smooth transition regression approach," Economic Modelling, Elsevier, vol. 25(2), pages 284-299, March.
    43. Robert E. Carpenter & Steven M. Fazzari & Bruce C. Petersen, 1994. "Inventory Investment, Internal-Finance Fluctuation, and the Business Cycle," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 25(2), pages 75-138.
    44. Hennessy, Christopher A. & Levy, Amnon & Whited, Toni M., 2007. "Testing Q theory with financing frictions," Journal of Financial Economics, Elsevier, vol. 83(3), pages 691-717, March.
    45. Lundbergh, Stefan & Terasvirta, Timo & van Dijk, Dick, 2003. "Time-Varying Smooth Transition Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 104-121, January.
    46. Frauke Schleer, 2015. "Finding Starting-Values for the Estimation of Vector STAR Models," Econometrics, MDPI, vol. 3(1), pages 1-26, January.
    47. Béreau, Sophie & Villavicencio, Antonia López & Mignon, Valérie, 2010. "Nonlinear adjustment of the real exchange rate towards its equilibrium value: A panel smooth transition error correction modelling," Economic Modelling, Elsevier, vol. 27(1), pages 404-416, January.
    48. Fouquau, Julien & Hurlin, Christophe & Rabaud, Isabelle, 2008. "The Feldstein-Horioka puzzle: A panel smooth transition regression approach," Economic Modelling, Elsevier, vol. 25(2), pages 284-299, March.
    49. Goffe, William L. & Ferrier, Gary D. & Rogers, John, 1994. "Global optimization of statistical functions with simulated annealing," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 65-99.
    50. Cho, Dooyeon, 2015. "The role of covered interest parity in explaining the forward premium anomaly within a nonlinear panel framework," Journal of Empirical Finance, Elsevier, vol. 34(C), pages 229-238.
    51. Lang, Larry & Ofek, Eli & Stulz, Rene M., 1996. "Leverage, investment, and firm growth," Journal of Financial Economics, Elsevier, vol. 40(1), pages 3-29, January.
    52. A. Stan Hurn & Annastiina Silvennoinen & Timo Teräsvirta, 2016. "A Smooth Transition Logit Model of The Effects of Deregulation in the Electricity Market," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(4), pages 707-733, June.
    53. Gayané Hovakimian, 2009. "Determinants of Investment Cash Flow Sensitivity," Financial Management, Financial Management Association International, vol. 38(1), pages 161-183, March.
    54. C. Edward Fee & Charles J. Hadlock & Joshua R. Pierce, 2009. "Investment, Financing Constraints, and Internal Capital Markets: Evidence from the Advertising Expenditures of Multinational Firms," Review of Financial Studies, Society for Financial Studies, vol. 22(6), pages 2361-2392, June.
    55. Joao F. Gomes, 2001. "Financing Investment," American Economic Review, American Economic Association, vol. 91(5), pages 1263-1285, December.
    56. László Mátyás & Patrick Sevestre (ed.), 2008. "The Econometrics of Panel Data," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-540-75892-1.
    57. Yu-Shan Chen & Chun-Yu Shih & Ching-Hsun Chang, 2014. "Explore the new relationship between patents and market value: a panel smooth transition regression (PSTR) approach," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(2), pages 1145-1159, February.
    58. Xiaoqiang Hu & Fabio Schiantarelli, 1998. "Investment And Capital Market Imperfections: A Switching Regression Approach Using U.S. Firm Panel Data," The Review of Economics and Statistics, MIT Press, vol. 80(3), pages 466-479, August.
    59. Tolga Omay & Reneé Eyden & Rangan Gupta, 2018. "Inflation–growth nexus: evidence from a pooled CCE multiple-regime panel smooth transition model," Empirical Economics, Springer, vol. 54(3), pages 913-944, May.
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    More about this item

    Keywords

    financial constraints; heterogeneous panel; investment; misspecification test; nonlinear modelling of panel data; smooth transition model;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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