IDEAS home Printed from https://ideas.repec.org/p/aah/create/2017-36.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: https://repec.econ.au.dk/repec/creates/rp/17/rp17_36.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Nathalie Moyen, 2004. "Investment-Cash Flow Sensitivities: Constrained versus Unconstrained Firms," Journal of Finance, American Finance Association, vol. 59(5), pages 2061-2092, October.
    7. 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.
    8. Pesaran, M. Hashem, 2015. "Time Series and Panel Data Econometrics," OUP Catalogue, Oxford University Press, number 9780198759980.
    9. 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.
    10. Cheng, Che-Hui & Wu, Po-Chin, 2013. "Nonlinear earnings persistence," International Review of Economics & Finance, Elsevier, vol. 25(C), pages 156-168.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. R. Glenn Hubbard, 1998. "Capital-Market Imperfections and Investment," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 193-225, March.
    18. 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.
    19. 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.
    20. 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.
    21. Frauke Schleer, 2015. "Finding Starting-Values for the Estimation of Vector STAR Models," Econometrics, MDPI, vol. 3(1), pages 1-26, January.
    22. 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.
    23. 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.
    24. 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.
    25. Aslanidis, Nektarios & Xepapadeas, Anastasios, 2006. "Smooth transition pollution-income paths," Ecological Economics, Elsevier, vol. 57(2), pages 182-189, May.
    26. 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.
    27. 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.
    28. 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.
    29. 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.
    30. 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.
    31. 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.
    32. 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.
    33. Armen Hovakimian & Gayané Hovakimian, 2009. "Cash Flow Sensitivity of Investment," European Financial Management, European Financial Management Association, vol. 15(1), pages 47-65, January.
    34. 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.
    35. Patrick Sevestre & Laszlo Matyas, 2008. "The Econometrics of Panel Data," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00279977, HAL.
    36. Gayané Hovakimian, 2009. "Determinants of Investment Cash Flow Sensitivity," Financial Management, Financial Management Association International, vol. 38(1), pages 161-183, March.
    37. 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.
    38. 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.
    39. 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.
    40. Eitrheim, Oyvind & Terasvirta, Timo, 1996. "Testing the adequacy of smooth transition autoregressive models," Journal of Econometrics, Elsevier, vol. 74(1), pages 59-75, September.
    41. 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.
    42. 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.
    43. 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.
    44. 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.
    45. 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.
    46. 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.
    47. Joao F. Gomes, 2001. "Financing Investment," American Economic Review, American Economic Association, vol. 91(5), pages 1263-1285, December.
    48. 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.
    49. 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, July-Dece.
    50. 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.
    51. Christopher A. Hennessy, 2004. "Tobin's "Q", Debt Overhang, and Investment," Journal of Finance, American Finance Association, vol. 59(4), pages 1717-1742, August.
    52. 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.
    53. 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.
    54. 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.
    55. 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.
    Full references (including those not matched with items on IDEAS)

    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. Rashid Ameer, 2014. "Financial Constraints, Debt Overhang And Corporate Investment: A Panel Smooth Transition Regression Approach," Asian Academy of Management Journal of Accounting and Finance (AAMJAF), Penerbit Universiti Sains Malaysia, vol. 10(2), pages 55-80.
    2. Coad, Alex, 2010. "Neoclassical vs evolutionary theories of financial constraints: Critique and prospectus," Structural Change and Economic Dynamics, Elsevier, vol. 21(3), pages 206-218, August.
    3. Firth, Michael & Malatesta, Paul H. & Xin, Qingquan & Xu, Liping, 2012. "Corporate investment, government control, and financing channels: Evidence from China's Listed Companies," Journal of Corporate Finance, Elsevier, vol. 18(3), pages 433-450.
    4. Ameer, Rashid, 2014. "Financial constraints and corporate investment in Asian countries," Journal of Asian Economics, Elsevier, vol. 33(C), pages 44-55.
    5. Bayraktar, Nihal, 2014. "Fixed investment/fundamental sensitivities under financial constraints," Journal of Economics and Business, Elsevier, vol. 75(C), pages 25-59.
    6. Jason G. Cummins & Kevin A. Hassett & Stephen D. Oliner, 2006. "Investment Behavior, Observable Expectations, and Internal Funds," American Economic Review, American Economic Association, vol. 96(3), pages 796-810, June.
    7. Manzur Quader & Karl Taylor, 2018. "Corporate efficiency, credit status and investment," The European Journal of Finance, Taylor & Francis Journals, vol. 24(6), pages 439-457, April.
    8. Borisova, Ginka & Brown, James R., 2013. "R&D sensitivity to asset sale proceeds: New evidence on financing constraints and intangible investment," Journal of Banking & Finance, Elsevier, vol. 37(1), pages 159-173.
    9. Carpenter, Robert E. & Guariglia, Alessandra, 2008. "Cash flow, investment, and investment opportunities: New tests using UK panel data," Journal of Banking & Finance, Elsevier, vol. 32(9), pages 1894-1906, September.
    10. Alfonsina Iona & Leone Leonida, 2018. "Sample separation and the sensitivity of investment to cash flow: Is the monotonicity condition empirically satisfied?," Working Papers 862, Queen Mary University of London, School of Economics and Finance.
    11. Lyandres, Evgeny, 2007. "Costly external financing, investment timing, and investment-cash flow sensitivity," Journal of Corporate Finance, Elsevier, vol. 13(5), pages 959-980, December.
    12. Nusrat Jahan, 2020. "Does Asset Durability Impede Financing? An Empirical Assessment," Carleton Economic Papers 20-17, Carleton University, Department of Economics, revised 07 Aug 2022.
    13. Vikash Gautam & Rajendra R. Vaidya, 2018. "Evidence on the determinants of investment-cash flow sensitivity," Indian Economic Review, Springer, vol. 53(1), pages 229-244, December.
    14. Ding, Sai & Kim, Minjoo & Zhang, Xiao, 2018. "Do firms care about investment opportunities? Evidence from China," Journal of Corporate Finance, Elsevier, vol. 52(C), pages 214-237.
    15. Mulier, Klaas & Schoors, Koen & Merlevede, Bruno, 2016. "Investment-cash flow sensitivity and financial constraints: Evidence from unquoted European SMEs," Journal of Banking & Finance, Elsevier, vol. 73(C), pages 182-197.
    16. Xin Qu & Majella Percy & Fang Hu & Jenny Stewart, 2022. "Can CEO equity‐based compensation limit investment‐related agency problems?," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 62(2), pages 2579-2614, June.
    17. Schürg, Carolin V. & Bannier, Christina Evelies, 2015. "Corporate investment, debt and liquidity choices in the light of financial constraints and hedging needs," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 114561, Verein für Socialpolitik / German Economic Association.
    18. Jean-Bernard Chatelain, 2003. "Structural modelling of financial constraints on investment: where do we stand?," Chapters, in: Paul Butzen & Catherine Fuss (ed.), Firms’ Investment and Finance Decisions, chapter 2, pages 40-58, Edward Elgar Publishing.
    19. Caggese, Andrea, 2007. "Testing financing constraints on firm investment using variable capital," Journal of Financial Economics, Elsevier, vol. 86(3), pages 683-723, December.
    20. Majid Moayyed & Mehdi Shiva, 2023. "The impact of oil price changes on industrial production: a panel smooth-transition approach on G7 countries," International Economics and Economic Policy, Springer, vol. 20(4), pages 595-612, October.

    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

    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:aah:create:2017-36. 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: the person in charge (email available below). General contact details of provider: http://www.econ.au.dk/afn/ .

    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.