IDEAS home Printed from https://ideas.repec.org/a/gam/jecnmx/v7y2019i1p12-d213519.html
   My bibliography  Save this article

On the Validity of Tests for Asymmetry in Residual-Based Threshold Cointegration Models

Author

Listed:
  • Karl-Heinz Schild

    (Department of Statistics, Philipps-University of Marburg, Universitätsstraße 25, 35037 Marburg, Germany)

  • Karsten Schweikert

    (Core Facility Hohenheim, University of Hohenheim, Schloss Hohenheim 1 C, 70593 Stuttgart, Germany)

Abstract

This paper investigates the properties of tests for asymmetric long-run adjustment which are often applied in empirical studies on asymmetric price transmissions. We show that substantial size distortions are caused by preconditioning the test on finding sufficient evidence for cointegration in a first step. The extent of oversizing the test for long-run asymmetry depends inversely on the power of the primary cointegration test. Hence, tests for long-run asymmetry become invalid in cases of small sample sizes or slow speed of adjustment. Further, we provide simulation evidence that tests for long-run asymmetry are generally oversized if the threshold parameter is estimated by conditional least squares and show that bootstrap techniques can be used to obtain the correct size.

Suggested Citation

  • Karl-Heinz Schild & Karsten Schweikert, 2019. "On the Validity of Tests for Asymmetry in Residual-Based Threshold Cointegration Models," Econometrics, MDPI, vol. 7(1), pages 1-13, March.
    • Handle: RePEc:gam:jecnmx:v:7:y:2019:i:1:p:12-:d:213519
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2225-1146/7/1/12/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2225-1146/7/1/12/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Giliola Frey & Matteo Manera, 2007. "Econometric Models Of Asymmetric Price Transmission," Journal of Economic Surveys, Wiley Blackwell, vol. 21(2), pages 349-415, April.
    2. Norman, Stephen, 2008. "Systematic small sample bias in two regime SETAR model estimation," Economics Letters, Elsevier, vol. 99(1), pages 134-138, April.
    3. repec:bla:jecsur:v:13:y:1999:i:5:p:551-76 is not listed on IDEAS
    4. Cook, Steven & Holly, Sean & Turner, Paul, 1999. "The power of tests for non-linearity: the case of Granger-Lee asymmetry," Economics Letters, Elsevier, vol. 62(2), pages 155-159, February.
    5. 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.
    6. Bruce Hansen, 1999. "Testing for Linearity," Journal of Economic Surveys, Wiley Blackwell, vol. 13(5), pages 551-576, December.
    7. James Payne & George Waters, 2008. "Interest rate pass through and asymmetric adjustment: evidence from the federal funds rate operating target period," Applied Economics, Taylor & Francis Journals, vol. 40(11), pages 1355-1362.
    8. 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.
    9. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    10. Karoglou, Michail & Morley, Bruce, 2012. "Purchasing power parity and structural instability in the US/UK exchange rate," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 22(4), pages 958-972.
    11. Grasso, Margherita & Manera, Matteo, 2007. "Asymmetric error correction models for the oil-gasoline price relationship," Energy Policy, Elsevier, vol. 35(1), pages 156-177, January.
    12. Enders, Walter & Granger, Clive W J, 1998. "Unit-Root Tests and Asymmetric Adjustment with an Example Using the Term Structure of Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 304-311, July.
    13. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
    14. Enders, Walter & Siklos, Pierre L, 2001. "Cointegration and Threshold Adjustment," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(2), pages 166-176, April.
    15. Ke Zhu & Wai Keung Li & Philip L. H. Yu, 2017. "Buffered Autoregressive Models With Conditional Heteroscedasticity: An Application to Exchange Rates," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 35(4), pages 528-542, October.
    16. Godby, Rob & Lintner, Anastasia M. & Stengos, Thanasis & Wandschneider, Bo, 2000. "Testing for asymmetric pricing in the Canadian retail gasoline market," Energy Economics, Elsevier, vol. 22(3), pages 349-368, June.
    17. Michel Simioni & Frédéric Gonzales & Patrice Guillotreau & Laurent Le Grel, 2013. "Detecting Asymmetric Price Transmission with Consistent Threshold along the Fish Supply Chain," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 61(1), pages 37-60, March.
    18. Hansen,B.E., 1999. "Testing for linearity," Working papers 7, Wisconsin Madison - Social Systems.
    19. Galeotti, Marzio & Lanza, Alessandro & Manera, Matteo, 2003. "Rockets and feathers revisited: an international comparison on European gasoline markets," Energy Economics, Elsevier, vol. 25(2), pages 175-190, March.
    20. Lee, Oesook & Shin, Dong Wan, 2000. "On geometric ergodicity of the MTAR process," Statistics & Probability Letters, Elsevier, vol. 48(3), pages 229-237, July.
    21. Perdiguero-García, Jordi, 2013. "Symmetric or asymmetric oil prices? A meta-analysis approach," Energy Policy, Elsevier, vol. 57(C), pages 389-397.
    22. Thompson, Mark A., 2006. "Asymmetric adjustment in the prime lending-deposit rate spread," Review of Financial Economics, Elsevier, vol. 15(4), pages 323-329.
    23. Guodong Li & Bo Guan & Wai Keung Li & Philip L. H. Yu, 2015. "Hysteretic autoregressive time series models," Biometrika, Biometrika Trust, vol. 102(3), pages 717-723.
    24. Mohammadi, Hassan, 2011. "Market integration and price transmission in the U.S. natural gas market: From the wellhead to end use markets," Energy Economics, Elsevier, vol. 33(2), pages 227-235, March.
    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. Katarzyna Leszkiewicz-Kędzior & Aleksander Welfe, 2014. "Asymmetric Price Adjustments in the Fuel Market," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 6(2), pages 105-127, June.
    2. Jens‐Peter Loy & Dieter Pennerstorfer & Daniela Rroshi & Christoph Weiss & Biliana Yontcheva, 2022. "Consumer Information and Price Transmission: Empirical Evidence," Journal of Industrial Economics, Wiley Blackwell, vol. 70(3), pages 631-683, September.
    3. Ederington, Louis H. & Fernando, Chitru S. & Hoelscher, Seth A. & Lee, Thomas K. & Linn, Scott C., 2019. "A review of the evidence on the relation between crude oil prices and petroleum product prices," Journal of Commodity Markets, Elsevier, vol. 13(C), pages 1-15.
    4. Zouheir Ahmed Mighri & Majid Ibrahim Alsaggaf, 2019. "Asymmetric Threshold Cointegration and Nonlinear Adjustment between Oil Prices and Financial Stress," International Journal of Energy Economics and Policy, Econjournals, vol. 9(3), pages 87-105.
    5. Asane-Otoo, Emmanuel & Schneider, Jan, 2015. "Retail fuel price adjustment in Germany: A threshold cointegration approach," Energy Policy, Elsevier, vol. 78(C), pages 1-10.
    6. Gonzalo, Jesùs & Pitarakis, Jean-Yves, 2005. "Threshold effects In multivariate error correction models," Discussion Paper Series In Economics And Econometrics 0501, Economics Division, School of Social Sciences, University of Southampton.
    7. Zouheir Mighri & Faysal Mansouri, 2016. "Asymmetric price transmission within the Argentinean stock market: an asymmetric threshold cointegration approach," Empirical Economics, Springer, vol. 51(3), pages 1115-1149, November.
    8. Karagiannis, Stelios & Panagopoulos, Yannis & Vlamis, Prodromos, 2015. "Are unleaded gasoline and diesel price adjustments symmetric? A comparison of the four largest EU retail fuel markets," Economic Modelling, Elsevier, vol. 48(C), pages 281-291.
    9. Bothwell Nyoni & Andrew Phiri, 2018. "The Electricity-growth Nexus in South Africa: Evidence from Asymmetric Cointegration and Co-feature Analysis," International Journal of Energy Economics and Policy, Econjournals, vol. 8(6), pages 80-88.
    10. Bairagi, S. & Mohanty, S., 2018. "Analysis of Price Transmission along the Cambodian Rice Value Chain," 2018 Conference, July 28-August 2, 2018, Vancouver, British Columbia 277022, International Association of Agricultural Economists.
    11. Afshin Honarvar, 2010. "Modeling of Asymmetry between Gasoline and Crude Oil Prices: A Monte Carlo Comparison," Computational Economics, Springer;Society for Computational Economics, vol. 36(3), pages 237-262, October.
    12. Bagnai, Alberto & Mongeau Ospina, Christian Alexander, 2015. "Long- and short-run price asymmetries and hysteresis in the Italian gasoline market," Energy Policy, Elsevier, vol. 78(C), pages 41-50.
    13. Bastianin, Andrea & Galeotti, Marzio & Manera, Matteo, 2014. "Forecasting the oil–gasoline price relationship: Do asymmetries help?," Energy Economics, Elsevier, vol. 46(S1), pages 44-56.
    14. Michael Polemis, 2012. "Competition and price asymmetries in the Greek oil sector: an empirical analysis on gasoline market," Empirical Economics, Springer, vol. 43(2), pages 789-817, October.
    15. Jean-Philippe Gervais, 2011. "Disentangling nonlinearities in the long- and short-run price relationships: an application to the US hog/pork supply chain," Applied Economics, Taylor & Francis Journals, vol. 43(12), pages 1497-1510.
    16. Deltas, George & Polemis, Michael, 2020. "Estimating retail gasoline price dynamics: The effects of sample characteristics and research design," Energy Economics, Elsevier, vol. 92(C).
    17. Jack Strauss & Mark E. Wohar, 2007. "Domestic‐Foreign Interest Rate Differentials: Near Unit Roots and Symmetric Threshold Models," Southern Economic Journal, John Wiley & Sons, vol. 73(3), pages 814-829, January.
    18. Malkidis, Stavros & Fountas, Stilianos, 2020. "Liquid fuel price adjustment in Greece: A two-stage, threshold cointegration approach," The Journal of Economic Asymmetries, Elsevier, vol. 22(C).
    19. Pal, Debdatta & Mitra, Subrata K., 2016. "Asymmetric oil product pricing in India: Evidence from a multiple threshold nonlinear ARDL model," Economic Modelling, Elsevier, vol. 59(C), pages 314-328.
    20. Subervie, Julie, 2011. "Producer price adjustment to commodity price shocks: An application of threshold cointegration," Economic Modelling, Elsevier, vol. 28(5), pages 2239-2246, September.

    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:gam:jecnmx:v:7:y:2019:i:1:p:12-:d:213519. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.