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

Author

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  • 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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    Cited by:

    1. Ahlgren, Niklas & Antell, Jan, 2008. "Cobreaking of Stock Prices and Contagion," Working Papers 537, Hanken School of Economics.
    2. 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.
    3. Kulp-Tåg, Sofie, 2007. "An Empirical Comparison of Linear and Nonlinear Volatility Models for Nordic Stock Returns," Working Papers 525, Hanken School of Economics.
    4. Strandvik, Tore & Holmlund, Maria & Edvardsson, Bo, 2008. "Customer Needing - Conceptualising Industrial Service from a Customer Perspective," Working Papers 536, Hanken School of Economics.
    5. Niklas Ahlgren & Jan Antell, 2013. "The power of bootstrap tests of cointegration rank," Computational Statistics, Springer, vol. 28(6), pages 2719-2748, December.
    6. 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.
    7. Wägar, Karolina & Björk, Peter & Ravald, Annika & West, Björn, 2007. "Exploring Marketing in Micro Firms," Working Papers 531, Hanken School of Economics.
    8. 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.
    9. Ahlgren, Niklas & Antell, Jan, 2009. "The Power of Bootstrap Tests of Cointegration Rank with Financial Time Series," Working Papers 541, Hanken School of Economics.
    10. 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.
    11. Niklas Ahlgren & Mikael Juselius, 2012. "Tests for cointegration rank and the initial condition," Empirical Economics, Springer, vol. 42(3), pages 667-691, June.
    12. Niklas Ahlgren & Paul Catani, 2017. "Wild bootstrap tests for autocorrelation in vector autoregressive models," Statistical Papers, Springer, vol. 58(4), pages 1189-1216, December.
    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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    Keywords

    Bootstrap; Cointegration; Financial time series; Likelihood ratio test;
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