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Toehold Purchase Problem: A comparative analysis of two strategies

  • Iryna Banakh
  • Taras Banakh
  • Pavel Trisch
  • Myroslava Vovk
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    Toehold purchase, defined here as purchase of one share in a firm by an investor preparing a tender offer to acquire majority of shares in it, reduces by one the number of shares this investor needs for majority. In the paper we construct mathematical models for the toehold and no-toehold strategies and compare the expected profits of the investor and the probabilities of takeover the firm in both strategies. It turns out that the expected profits of the investor in both strategies coincide. On the other hand, the probability of takeover the firm using the toehold strategy is considerably higher comparing to the no-toehold strategy. In the analysis of the models we apply the apparatus of incomplete Beta functions and some refined bounds for central binomial coefficients.

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    File URL: http://arxiv.org/pdf/1204.2065
    File Function: Latest version
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    Paper provided by arXiv.org in its series Papers with number 1204.2065.

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    Date of creation: Apr 2012
    Date of revision: Sep 2014
    Handle: RePEc:arx:papers:1204.2065
    Contact details of provider: Web page: http://arxiv.org/

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    1. Goldman, Eitan & Qian, Jun, 2005. "Optimal toeholds in takeover contests," Journal of Financial Economics, Elsevier, vol. 77(2), pages 321-346, August.
    2. David Ettinger, 2009. "Takeover Contests, Toeholds and Deterrence," Scandinavian Journal of Economics, Wiley Blackwell, vol. 111(1), pages 103-124, 03.
    3. Mark Bagnoli, Barton L. Lipman, 1988. "Successful Takeovers without Exclusion," Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 89-110.
    4. Sris Chatterjee & Kose John & An Yan, 2012. "Takeovers and Divergence of Investor Opinion," Review of Financial Studies, Society for Financial Studies, vol. 25(1), pages 227-277.
    5. Betton, Sandra & Eckbo, B. Espen & Thorburn, Karin S., 2009. "Merger negotiations and the toehold puzzle," Journal of Financial Economics, Elsevier, vol. 91(2), pages 158-178, February.
    6. Ravid, S. Abraham & Spiegel, Matthew, 1999. "Toehold strategies, takeover laws and rival bidders," Journal of Banking & Finance, Elsevier, vol. 23(8), pages 1219-1242, August.
    7. Bris, Arturo, 2002. "Toeholds, takeover premium, and the probability of being acquired," Journal of Corporate Finance, Elsevier, vol. 8(3), pages 227-253, July.
    8. Rajdeep Singh, 1995. "Takeover Bidding with Toeholds: The Case of the Owner's Curse," Finance 9503001, EconWPA.
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