Advanced Search
MyIDEAS: Login to save this paper or follow this series

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

Contents:

Author Info

  • 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.

Download Info

To our knowledge, this item is not available for download. To find whether it is available, there are three options:
1. Check below under "Related research" 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.

Bibliographic Info

Paper provided by Boston University - Department of Economics in its series Boston University - Department of Economics - Working Papers Series with number WP2007-018.

as in new window
Length: 18pages
Date of creation: Mar 2007
Date of revision:
Publication status: published, Econometric Theory 24 (2008), 1425-1441
Handle: RePEc:bos:wpaper:wp2007-018

Contact details of provider:
Postal: 270 Bay State Road, Boston, MA 02215
Phone: 617-353-4389
Fax: 617-353-444
Web page: http://www.bu.edu/econ/
More information through EDIRC

Related research

Keywords:

Other versions of this item:

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Shleifer, Andrei & Vishny, Robert W., 2003. "Stock market driven acquisitions," Journal of Financial Economics, Elsevier, vol. 70(3), pages 295-311, December.
  2. Newey, Whitney K & West, Kenneth D, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Wiley Blackwell, vol. 61(4), pages 631-53, October.
  3. Salant, Stephen W & Switzer, Sheldon & Reynolds, Robert J, 1983. "Losses from Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, MIT Press, vol. 98(2), pages 185-99, May.
  4. Peter C.B. Phillips & Werner Ploberger, 1992. "Posterior Odds Testing for a Unit Root with Data-Based Model Selection," Cowles Foundation Discussion Papers 1017, Cowles Foundation for Research in Economics, Yale University.
  5. repec:cup:etheor:v:10:y:1994:i:3-4:p:774-808 is not listed on IDEAS
  6. Joseph Farrell and Carl Shapiro., 1988. "Horizontal Mergers: An Equilibrium Analysis," Economics Working Papers 8880, University of California at Berkeley.
  7. Morellec, Erwan & Zhdanov, Alexei, 2008. "Financing and takeovers," Journal of Financial Economics, Elsevier, vol. 87(3), pages 556-581, March.
  8. Andrade, Gregor & Stafford, Erik, 2004. "Investigating the economic role of mergers," Journal of Corporate Finance, Elsevier, vol. 10(1), pages 1-36, January.
  9. 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.
  10. Dirk Hackbarth & Erwan Morellec, 2008. "Stock Returns in Mergers and Acquisitions," Journal of Finance, American Finance Association, vol. 63(3), pages 1213-1252, 06.
  11. Peter C.B. Phillips & Mico Loretan, 1989. "Estimating Long Run Economic Equilibria," Cowles Foundation Discussion Papers 928, Cowles Foundation for Research in Economics, Yale University.
  12. Chang, Yoosoon & Park, Joon & Song, Kevin, 2002. "Bootstrapping Cointegrating Regressions," Working Papers 2002-04, Rice University, Department of Economics.
  13. Donald W.K. Andrews & Christopher J. Monahan, 1990. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Cowles Foundation Discussion Papers 942, Cowles Foundation for Research in Economics, Yale University.
  14. 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 549-69, June.
  15. Harford, Jarrad, 2005. "What drives merger waves?," Journal of Financial Economics, Elsevier, vol. 77(3), pages 529-560, September.
  16. Jianjun Miao, 2003. "Optimal Capital Structure and Industry Dynamics," Industrial Organization 0310001, EconWPA.
  17. Steven R. Grenadier, 2002. "Option Exercise Games: An Application to the Equilibrium Investment Strategies of Firms," Review of Financial Studies, Society for Financial Studies, vol. 15(3), pages 691-721.
  18. Haug, A.A., 1992. "Tests for Cointegration: A Monte Carlo Comparison," Papers 93-2, York (Canada) - Department of Economics.
  19. Borenstein, Severin, 1990. "Airline Mergers, Airport Dominance, and Market Power," American Economic Review, American Economic Association, vol. 80(2), pages 400-404, May.
  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. 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.
  22. 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, 04.
  23. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
  24. 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.
  25. Vojislav Maksimovic, 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.
  26. 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.
  27. Donald W.K. Andrews, 1988. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Cowles Foundation Discussion Papers 877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
  28. Lambrecht, Bart M, 2001. "The Impact of Debt Financing on Entry and Exit in a Duopoly," Review of Financial Studies, Society for Financial Studies, vol. 14(3), pages 765-804.
  29. repec:cup:etheor:v:7:y:1991:i:1:p:1-21 is not listed on IDEAS
  30. 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, 04.
  31. 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 233-68, April.
  32. Saikkonen, Pentti, 1992. "Estimation and Testing of Cointegrated Systems by an Autoregressive Approximation," Econometric Theory, Cambridge University Press, vol. 8(01), pages 1-27, March.
  33. Dumas, Bernard, 1991. "Super contact and related optimality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 675-685, October.
  34. 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 119-49, April.
  35. 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.
  36. 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.
  37. McAfee, R. Preston & Williams, Michael A., 1988. "Can event studies detect anticompetitive mergers?," Economics Letters, Elsevier, vol. 28(2), pages 199-203.
  38. James H. Stock & Mark W. Watson, 1991. "A simple estimator of cointegrating vectors in higher order integrated systems," Working Paper Series, Macroeconomic Issues 91-3, Federal Reserve Bank of Chicago.
  39. Phillips, Peter C B & Hansen, Bruce E, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," Review of Economic Studies, Wiley Blackwell, vol. 57(1), pages 99-125, January.
  40. Eckbo, B. Espen, 1983. "Horizontal mergers, collusion, and stockholder wealth," Journal of Financial Economics, Elsevier, vol. 11(1-4), pages 241-273, April.
  41. Morellec, Erwan & Zhdanov, Alexei, 2005. "The dynamics of mergers and acquisitions," Journal of Financial Economics, Elsevier, vol. 77(3), pages 649-672, September.
  42. Fries, Steven & Miller, Marcus & Perraudin, William, 1997. "Debt in Industry Equilibrium," Review of Financial Studies, Society for Financial Studies, vol. 10(1), pages 39-67.
  43. Saikkonen, Pentti, 1991. "Asymptotically Efficient Estimation of Cointegration Regressions," Econometric Theory, Cambridge University Press, vol. 7(01), pages 1-21, March.
  44. Perry, Martin K & Porter, Robert H, 1985. "Oligopoly and the Incentive for Horizontal Merger," American Economic Review, American Economic Association, vol. 75(1), pages 219-27, March.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Mohitosh Kejriwal & Pierre Perron, 2006. "The Limit Distribution of the Estimates in Cointegrated Regression Models with Multiple Structural Changes," Boston University - Department of Economics - Working Papers Series WP2006-064, Boston University - Department of Economics.
  2. Eiji Kurozumi & Kazuhiko Hayakawa, 2006. "Asymptotic Properties of the Efficient Estimators for Cointegrating Regression Models with Serially Dependent Errors," Hi-Stat Discussion Paper Series d06-197, Institute of Economic Research, Hitotsubashi University.
  3. Francesco VENTURINI, 2006. "The Long-Run Impact of ICT," Working Papers 254, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
  4. Beyer, Andreas & Haug, Alfred A. & Dewald, William G., 2009. "Structural breaks, cointegration and the Fisher effect," Working Paper Series 1013, European Central Bank.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

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.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Gillian Gurish).

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.