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Optimal execution of ASR contracts with fixed notional

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  • Olivier Gu'eant

Abstract

Be it for taking advantage of stock undervaluation or in order to distribute part of their profits to shareholders, firms may buy back their own shares. One of the way they proceed is by including Accelerated Share Repurchases (ASR) as part of their repurchase programs. In this article, we study the pricing and optimal execution strategy of an ASR contract with fixed notional. In such a contract the firm pays a fixed notional $F$ to the bank and receives, in exchange, a number of shares corresponding to the ratio between $F$ and the average stock price over the purchase period, the duration of this period being decided upon by the bank. From a mathematical point of view, the problem is related to both optimal execution and exotic option pricing.

Suggested Citation

  • Olivier Gu'eant, 2014. "Optimal execution of ASR contracts with fixed notional," Papers 1410.1481, arXiv.org, revised May 2016.
    • Handle: RePEc:arx:papers:1410.1481
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    References listed on IDEAS

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    1. Charles-Albert Lehalle & Sophie Laruelle (ed.), 2013. "Market Microstructure in Practice," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8967, January.
    2. Leland, Hayne E, 1985. "Option Pricing and Replication with Transactions Costs," Journal of Finance, American Finance Association, vol. 40(5), pages 1283-1301, December.
    3. Olivier Gu'eant & Jiang Pu & Guillaume Royer, 2013. "Accelerated Share Repurchase: pricing and execution strategy," Papers 1312.5617, arXiv.org, revised Sep 2014.
    4. Bargeron, Leonce & Kulchania, Manoj & Thomas, Shawn, 2011. "Accelerated share repurchases," Journal of Financial Economics, Elsevier, vol. 101(1), pages 69-89, July.
    5. Olivier Gu'eant & Jiang Pu, 2013. "Option pricing and hedging with execution costs and market impact," Papers 1311.4342, arXiv.org, revised Apr 2015.
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