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Bootstrap and Fast Double Bootstrap Tests of Cointegration Rank with Financial Time Series

Author

Listed:
  • Ahlgren, Niklas

    (Swedish School of Economics and Business Administration)

  • Antell, Jan

    (Swedish School of Economics and Business Administration)

Abstract

The likelihood ratio test of cointegration rank is the most widely used test for cointegration. Many studies have shown that its finite sample distribution is not well approximated by the limiting distribution. The article introduces and evaluates by Monte Carlo simulation experiments bootstrap and fast double bootstrap (FDB) algorithms for the likelihood ratio test. It finds that the performance of the bootstrap test is very good. The more sophisticated FDB produces a further improvement in cases where the performance of the asymptotic test is very unsatisfactory and the ordinary bootstrap does not work as well as it might. Furthermore, the Monte Carlo simulations provide a number of guidelines on when the bootstrap and FDB tests can be expected to work well. Finally, the tests are applied to US interest rates and international stock prices series. It is found that the asymptotic test tends to overestimate the cointegration rank, while the bootstrap and FDB tests choose the correct cointegration rank.

Suggested Citation

  • Ahlgren, Niklas & Antell, Jan, 2006. "Bootstrap and Fast Double Bootstrap Tests of Cointegration Rank with Financial Time Series," Working Papers 519, Hanken School of Economics.
    • Handle: RePEc:hhb:hanken:0519
    Note: This paper is published as: Ahlgren, Niklas and Antell, Jan (2008), 'Bootstrap and Fast Double Bootstrap Tests of Cointegration Rank with Financial Time Series', Computational Statistics and Data Analysis, 52, 4754-4767.
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    References listed on IDEAS

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    1. MacKinnon, James G & Haug, Alfred A & Michelis, Leo, 1999. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(5), pages 563-577, Sept.-Oct.
    2. Esther Ruiz & Lorenzo Pascual, 2002. "Bootstrapping Financial Time Series," Journal of Economic Surveys, Wiley Blackwell, vol. 16(3), pages 271-300, July.
    3. van Giersbergen, Noud P A, 1996. "Bootstrapping the Trace Statistic in VAR Models: Monte Carlo Results and Applications," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(2), pages 391-408, May.
    4. Bent Nielsen, 2004. "On the Distribution of Likelihood Ratio Test Statistics for Cointegration Rank," Econometric Reviews, Taylor & Francis Journals, vol. 23(1), pages 1-23.
    5. Paparoditis, Efstathios & Politis, Dimitris N., 2005. "Bootstrapping Unit Root Tests for Autoregressive Time Series," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 545-553, June.
    6. Pieter Omtzigt & Stefano Fachin, 2006. "The Size and Power of Bootstrap and Bartlett-Corrected Tests of Hypotheses on the Cointegrating Vectors," Econometric Reviews, Taylor & Francis Journals, vol. 25(1), pages 41-60.
    7. repec:bla:jecsur:v:12:y:1998:i:5:p:533-72 is not listed on IDEAS
    8. Davidson, Russell & MacKinnon, James G., 2007. "Improving the reliability of bootstrap tests with the fast double bootstrap," Computational Statistics & Data Analysis, Elsevier, vol. 51(7), pages 3259-3281, April.
    9. Hall, Anthony D & Anderson, Heather M & Granger, Clive W J, 1992. "A Cointegration Analysis of Treasury Bill Yields," The Review of Economics and Statistics, MIT Press, vol. 74(1), pages 116-126, February.
    10. Anders Rygh Swensen, 2006. "Bootstrap Algorithms for Testing and Determining the Cointegration Rank in VAR Models -super-1," Econometrica, Econometric Society, vol. 74(6), pages 1699-1714, November.
    11. Hansen, Bruce E, 1994. "Autoregressive Conditional Density Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 705-730, August.
    12. Kasa, Kenneth, 1992. "Common stochastic trends in international stock markets," Journal of Monetary Economics, Elsevier, vol. 29(1), pages 95-124, February.
    13. Russell Davidson & James MacKinnon, 2000. "Bootstrap tests: how many bootstraps?," Econometric Reviews, Taylor & Francis Journals, vol. 19(1), pages 55-68.
    14. Niklas Ahlgren & Jan Antell, 2002. "Testing for cointegration between international stock prices," Applied Financial Economics, Taylor & Francis Journals, vol. 12(12), pages 851-861.
    15. Davidson, Russell & MacKinnon, James G., 2006. "The power of bootstrap and asymptotic tests," Journal of Econometrics, Elsevier, vol. 133(2), pages 421-441, August.
    16. Soren Johansen, 2002. "A Small Sample Correction for the Test of Cointegrating Rank in the Vector Autoregressive Model," Econometrica, Econometric Society, vol. 70(5), pages 1929-1961, September.
    17. Harris, R. I. D. & Judge, G., 1998. "Small sample testing for cointegration using the bootstrap approach," Economics Letters, Elsevier, vol. 58(1), pages 31-37, January.
    18. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    19. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    20. Juselius, Katarina, 2006. "The Cointegrated VAR Model: Methodology and Applications," OUP Catalogue, Oxford University Press, number 9780199285679.
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    Cited by:

    1. Kascha, Christian & Trenkler, Carsten, 2011. "Bootstrapping the likelihood ratio cointegration test in error correction models with unknown lag order," Computational Statistics & Data Analysis, Elsevier, vol. 55(2), pages 1008-1017, February.
    2. Kulp-Tåg, Sofie, 2007. "An Empirical Comparison of Linear and Nonlinear Volatility Models for Nordic Stock Returns," Working Papers 525, Hanken School of Economics.
    3. Strandvik, Tore & Holmlund, Maria & Edvardsson, Bo, 2008. "Customer Needing - Conceptualising Industrial Service from a Customer Perspective," Working Papers 536, Hanken School of Economics.
    4. Ren, Tongxian & Long, Zhihe & Zhang, Rengui & Chen, Qingqing, 2014. "Moran's I test of spatial panel data model — Based on bootstrap method," Economic Modelling, Elsevier, vol. 41(C), pages 9-14.
    5. Ahlgren, Niklas & Antell, Jan, 2009. "The Power of Bootstrap Tests of Cointegration Rank with Financial Time Series," Working Papers 541, Hanken School of Economics.
    6. Niklas Ahlgren & Mikael Juselius, 2012. "Tests for cointegration rank and the initial condition," Empirical Economics, Springer, vol. 42(3), pages 667-691, June.
    7. Niklas Ahlgren & Paul Catani, 2017. "Wild bootstrap tests for autocorrelation in vector autoregressive models," Statistical Papers, Springer, vol. 58(4), pages 1189-1216, December.
    8. Ahlgren, Niklas & Antell, Jan, 2008. "Cobreaking of Stock Prices and Contagion," Working Papers 537, Hanken School of Economics.
    9. Niklas Ahlgren & Jan Antell, 2013. "The power of bootstrap tests of cointegration rank," Computational Statistics, Springer, vol. 28(6), pages 2719-2748, December.
    10. Wägar, Karolina & Björk, Peter & Ravald, Annika & West, Björn, 2007. "Exploring Marketing in Micro Firms," Working Papers 531, Hanken School of Economics.
    11. Ahlgren, Niklas & Antell, Jan, 2010. "Stock market linkages and financial contagion: A cobreaking analysis," The Quarterly Review of Economics and Finance, Elsevier, vol. 50(2), pages 157-166, May.
    12. Ou Bianling & Long Zhihe & Li Wenqian, 2019. "Bootstrap LM Tests for Spatial Dependence in Panel Data Models with Fixed Effects," Journal of Systems Science and Information, De Gruyter, vol. 7(4), pages 330-343, August.
    13. Ekholm, Bo-Göran & Wallin, Jan, 2006. "Flexible Budgeting under Uncertainty: A Real Options Perspective," Working Papers 520, Hanken School of Economics.
    14. Nicoleta ISAC & Cosmin DOBRIN & Mehmood HUSSAN & Asad ul Islam KHAN & Alina- Andreea MARIN, 2020. "On The Ranks Of Tests Having Null Of Cointegration: A Monte Carlo Comparison," Management Research and Practice, Research Centre in Public Administration and Public Services, Bucharest, Romania, vol. 12(2), pages 58-69, June.
    15. Segercrantz, Beata, 2007. "Constructing Stability in Software Product Development during Organizational Restructurings," Working Papers 527, Hanken School of Economics.

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