IDEAS home Printed from https://ideas.repec.org/p/bos/wpaper/wp2007-018.html
   My bibliography  Save this paper

Data Dependent Rules for the Selection of the Number of Leads and Lags in the Dynamic OLS Cointegrating Regression

Author

Listed:
  • Mohitosh Kejriwal

    (Department of Economics, Boston University)

  • Pierre Perron

    (Department of Economics, Boston University)

Abstract

Saikkonen (1991) developed an asymptotic optimality theory for the estimation of cointegrated regressions. He proposed the dynamic OLS estimator obtained by augmenting the static cointegrating regression with leads and lags of the first differences of the I(1) regressors. However, the assumptions imposed preclude the use of information criteria such as the AIC and BIC to select the number of leads and lags. We show that his results remain valid under weaker conditions which permit the use of such data dependent rules. Simulations show that, relative to sequential general to specific testing procedures, the use of such information criteria can indeed produce estimates with smaller mean squared errors and confidence intervals with better coverage rates.

Suggested Citation

  • Mohitosh Kejriwal & Pierre Perron, 2007. "Data Dependent Rules for the Selection of the Number of Leads and Lags in the Dynamic OLS Cointegrating Regression," Boston University - Department of Economics - Working Papers Series WP2007-018, Boston University - Department of Economics.
  • Handle: RePEc:bos:wpaper:wp2007-018
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. McAfee, R. Preston & Williams, Michael A., 1988. "Can event studies detect anticompetitive mergers?," Economics Letters, Elsevier, vol. 28(2), pages 199-203.
    2. Mitchell, Mark L. & Mulherin, J. Harold, 1996. "The impact of industry shocks on takeover and restructuring activity," Journal of Financial Economics, Elsevier, vol. 41(2), pages 193-229, June.
    3. Farrell, Joseph & Shapiro, Carl, 1990. "Horizontal Mergers: An Equilibrium Analysis," American Economic Review, American Economic Association, vol. 80(1), pages 107-126, March.
    4. Peter C. B. Phillips & Bruce E. Hansen, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 99-125.
    5. Kim, E Han & Singal, Vijay, 1993. "Mergers and Market Power: Evidence from the Airline Industry," American Economic Review, American Economic Association, vol. 83(3), pages 549-569, June.
    6. Whitney K. Newey & Kenneth D. West, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(4), pages 631-653.
    7. Phillips, Peter C.B. & Ploberger, Werner, 1994. "Posterior Odds Testing for a Unit Root with Data-Based Model Selection," Econometric Theory, Cambridge University Press, vol. 10(3-4), pages 774-808, August.
    8. Peter C. B. Phillips & Mico Loretan, 1991. "Estimating Long-run Economic Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 407-436.
    9. Saikkonen, Pentti, 1992. "Estimation and Testing of Cointegrated Systems by an Autoregressive Approximation," Econometric Theory, Cambridge University Press, vol. 8(1), pages 1-27, March.
    10. Eckbo, B. Espen, 1983. "Horizontal mergers, collusion, and stockholder wealth," Journal of Financial Economics, Elsevier, vol. 11(1-4), pages 241-273, April.
    11. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    12. Haug, Alfred A., 1996. "Tests for cointegration a Monte Carlo comparison," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 89-115.
    13. Shleifer, Andrei & Vishny, Robert W., 2003. "Stock market driven acquisitions," Journal of Financial Economics, Elsevier, vol. 70(3), pages 295-311, December.
    14. Stephen W. Salant & Sheldon Switzer & Robert J. Reynolds, 1983. "Losses From Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 185-199.
    15. Morellec, Erwan & Zhdanov, Alexei, 2008. "Financing and takeovers," Journal of Financial Economics, Elsevier, vol. 87(3), pages 556-581, March.
    16. R. H. Coase, 2013. "The Problem of Social Cost," Journal of Law and Economics, University of Chicago Press, vol. 56(4), pages 837-877.
    17. Chang, Yoosoon & Park, Joon Y. & Song, Kevin, 2006. "Bootstrapping cointegrating regressions," Journal of Econometrics, Elsevier, vol. 133(2), pages 703-739, August.
    18. Eckbo, B Espen & Wier, Peggy, 1985. "Antimerger Policy under the Hart-Scott-Rodino Act: A Reexamination of the Market Power Hypothesis," Journal of Law and Economics, University of Chicago Press, vol. 28(1), pages 119-149, April.
    19. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
    20. G. William Schwert, 2000. "Hostility in Takeovers: In the Eyes of the Beholder?," Journal of Finance, American Finance Association, vol. 55(6), pages 2599-2640, December.
    21. Morellec, Erwan & Zhdanov, Alexei, 2005. "The dynamics of mergers and acquisitions," Journal of Financial Economics, Elsevier, vol. 77(3), pages 649-672, September.
    22. Dumas, Bernard, 1991. "Super contact and related optimality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 675-685, October.
    23. Perry, Martin K & Porter, Robert H, 1985. "Oligopoly and the Incentive for Horizontal Merger," American Economic Review, American Economic Association, vol. 75(1), pages 219-227, March.
    24. Gregor Andrade & Mark Mitchell & Erik Stafford, 2001. "New Evidence and Perspectives on Mergers," Journal of Economic Perspectives, American Economic Association, vol. 15(2), pages 103-120, Spring.
    25. Jianjun Miao, 2005. "Optimal Capital Structure and Industry Dynamics," Journal of Finance, American Finance Association, vol. 60(6), pages 2621-2659, December.
    26. Bart Lambrecht & Stewart C. Myers, 2005. "A Theory of Takeovers and Disinvestment," NBER Working Papers 11082, National Bureau of Economic Research, Inc.
    27. Steven R. Grenadier, 2002. "Option Exercise Games: An Application to the Equilibrium Investment Strategies of Firms," The Review of Financial Studies, Society for Financial Studies, vol. 15(3), pages 691-721.
    28. Andrews, Donald W K & Monahan, J Christopher, 1992. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Econometrica, Econometric Society, vol. 60(4), pages 953-966, July.
    29. Borenstein, Severin, 1990. "Airline Mergers, Airport Dominance, and Market Power," American Economic Review, American Economic Association, vol. 80(2), pages 400-404, May.
    30. Yoosoon Chang & Joon Park, 2002. "On The Asymptotics Of Adf Tests For Unit Roots," Econometric Reviews, Taylor & Francis Journals, vol. 21(4), pages 431-447.
    31. Vojislav Maksimovic & Gordon Phillips, 2001. "The Market for Corporate Assets: Who Engages in Mergers and Asset Sales and Are There Efficiency Gains?," Journal of Finance, American Finance Association, vol. 56(6), pages 2019-2065, December.
    32. Dirk Hackbarth & Erwan Morellec, 2008. "Stock Returns in Mergers and Acquisitions," Journal of Finance, American Finance Association, vol. 63(3), pages 1213-1252, June.
    33. Bart M. Lambrecht & Stewart C. Myers, 2007. "A Theory of Takeovers and Disinvestment," Journal of Finance, American Finance Association, vol. 62(2), pages 809-845, April.
    34. repec:cup:etheor:v:7:y:1991:i:1:p:1-21 is not listed on IDEAS
    35. Lambrecht, Bart M, 2001. "The Impact of Debt Financing on Entry and Exit in a Duopoly," The Review of Financial Studies, Society for Financial Studies, vol. 14(3), pages 765-804.
    36. Harford, Jarrad, 2005. "What drives merger waves?," Journal of Financial Economics, Elsevier, vol. 77(3), pages 529-560, September.
    37. repec:cup:etheor:v:10:y:1994:i:3-4:p:774-808 is not listed on IDEAS
    38. Hayne E. Leland, 2007. "Financial Synergies and the Optimal Scope of the Firm: Implications for Mergers, Spinoffs, and Structured Finance," Journal of Finance, American Finance Association, vol. 62(2), pages 765-807, April.
    39. Saikkonen, Pentti, 1991. "Asymptotically Efficient Estimation of Cointegration Regressions," Econometric Theory, Cambridge University Press, vol. 7(1), pages 1-21, March.
    40. 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.
    41. Josep Lluís Carrion‐i‐Silvestre & Andreu Sansó, 2006. "Testing the Null of Cointegration with Structural Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(5), pages 623-646, October.
    42. Fries, Steven & Miller, Marcus & Perraudin, William, 1997. "Debt in Industry Equilibrium," The Review of Financial Studies, Society for Financial Studies, vol. 10(1), pages 39-67.
    43. Singal, Vijay, 1996. "Airline Mergers and Competition: An Integration of Stock and Product Price Effects," The Journal of Business, University of Chicago Press, vol. 69(2), pages 233-268, April.
    44. Andrade, Gregor & Stafford, Erik, 2004. "Investigating the economic role of mergers," Journal of Corporate Finance, Elsevier, vol. 10(1), pages 1-36, January.
    45. Lambrecht, Bart M., 2004. "The timing and terms of mergers motivated by economies of scale," Journal of Financial Economics, Elsevier, vol. 72(1), pages 41-62, April.
    46. Bengt Holmstrom & Steven N. Kaplan, 2001. "Corporate Governance and Merger Activity in the U.S.: Making Sense of the 1980s and 1990s," NBER Working Papers 8220, National Bureau of Economic Research, Inc.
    47. Larry D. Qiu & Wen Zhou, 2007. "Merger waves: a model of endogenous mergers," RAND Journal of Economics, RAND Corporation, vol. 38(1), pages 214-226, 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. Dirk Hackbarth & Jianjun Miao, "undated". "The Timing and Returns of Mergers and Acquisitions in Oligopolistic Industries," Boston University - Department of Economics - Working Papers Series wp2008-022, Boston University - Department of Economics.
    2. Hackbarth, Dirk & Miao, Jianjun, 2012. "The dynamics of mergers and acquisitions in oligopolistic industries," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 585-609.
    3. Pablo Moran, 2017. "Information Revelation in Merger Waves," The Review of Corporate Finance Studies, Society for Financial Studies, vol. 6(2), pages 174-233.
    4. Morellec, Erwan & Zhdanov, Alexei, 2008. "Financing and takeovers," Journal of Financial Economics, Elsevier, vol. 87(3), pages 556-581, March.
    5. Sven‐Olof Fridolfsson & Johan Stennek, 2010. "Industry Concentration and Welfare: On the Use of Stock Market Evidence from Horizontal Mergers," Economica, London School of Economics and Political Science, vol. 77(308), pages 734-750, October.
    6. Ovtchinnikov, Alexei V., 2013. "Merger waves following industry deregulation," Journal of Corporate Finance, Elsevier, vol. 21(C), pages 51-76.
    7. Duso, Tomaso & Gugler, Klaus & Yurtoglu, Burcin B., 2011. "How effective is European merger control?," European Economic Review, Elsevier, vol. 55(7), pages 980-1006.
    8. Eckbo, B. Espen, 2009. "Bidding strategies and takeover premiums: A review," Journal of Corporate Finance, Elsevier, vol. 15(1), pages 149-178, February.
    9. Panopoulou, Ekaterini & Pantelidis, Theologos, 2016. "The Fisher effect in the presence of time-varying coefficients," Computational Statistics & Data Analysis, Elsevier, vol. 100(C), pages 495-511.
    10. Weeds, Helen & Mason, Robin, 2010. "The Timing of Takeovers in Growing and Declining Markets," CEPR Discussion Papers 7678, C.E.P.R. Discussion Papers.
    11. Gao, Ning & Peng, Ni & Zhang, Yi, 2021. "Distributive inefficiency in horizontal mergers: Evidence from wealth transfers between merging firms and their customers," International Review of Financial Analysis, Elsevier, vol. 78(C).
    12. Ekaterini Panopoulou, 2005. "A Resolution of the Fisher Effect Puzzle: A Comparison of Estimators," Money Macro and Finance (MMF) Research Group Conference 2005 18, Money Macro and Finance Research Group.
    13. Tarsalewska, Monika, 2015. "The timing of mergers along the production chain, capital structure, and risk dynamics," Journal of Banking & Finance, Elsevier, vol. 57(C), pages 51-64.
    14. Simonyan, Karen, 2014. "What determines takeover premia: An empirical analysis," Journal of Economics and Business, Elsevier, vol. 75(C), pages 93-125.
    15. Farida Akhtar, 2016. "The probability of a firm making a takeover bid: An empirical analysis of Australian firms," Australian Journal of Management, Australian School of Business, vol. 41(1), pages 27-54, February.
    16. Martynova, Marina & Renneboog, Luc, 2008. "A century of corporate takeovers: What have we learned and where do we stand?," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2148-2177, October.
    17. Albert Banal‐Estañol & Paul Heidhues & Rainer Nitsche & Jo Seldeslachts, 2010. "Screening And Merger Activity," Journal of Industrial Economics, Wiley Blackwell, vol. 58(4), pages 794-817, December.
    18. Jozsef Molnar, 2002. "Preemptive Horizontal Mergers: Theory and Evidence," CERS-IE WORKING PAPERS 0213, Institute of Economics, Centre for Economic and Regional Studies.
    19. Tomaso Duso & Klaus Gugler & Burcin Yurtoglu, 2005. "EU Merger Remedies: A Preliminary Empirical Assessment," CIG Working Papers SP II 2005-16, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
    20. Srinivasan, Shweta, 2020. "Foreign competition and acquisitions," Journal of Corporate Finance, Elsevier, vol. 60(C).

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bos:wpaper:wp2007-018. 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: Program Coordinator (email available below). General contact details of provider: https://edirc.repec.org/data/decbuus.html .

    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.