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Optimal execution of Portfolio transactions with geometric price process

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  • Gerardo Hernandez-del-Valle
  • Carlos Pacheco-Gonzalez

Abstract

In this paper we derive the optimal execution trajectory for a trader who wishes to buy or sell a large position of shares which evolve as a geometric Brownian process in contrast to the arithmetic model which prevails in the existing literature, and with a general temporary impact $h$. We provide a couple of examples which illustrate the results. We would like to stress the fact that in this paper we use understandable user-friendly techniques.

Suggested Citation

  • Gerardo Hernandez-del-Valle & Carlos Pacheco-Gonzalez, 2009. "Optimal execution of Portfolio transactions with geometric price process," Papers 0908.1211, arXiv.org, revised Nov 2009.
    • Handle: RePEc:arx:papers:0908.1211
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    3. Obizhaeva, Anna A. & Wang, Jiang, 2013. "Optimal trading strategy and supply/demand dynamics," Journal of Financial Markets, Elsevier, vol. 16(1), pages 1-32.
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    5. Michael J. Brennan and Eduardo S. Schwartz., 1979. "A Continuous-Time Approach to the Pricing of Bonds," Research Program in Finance Working Papers 85, University of California at Berkeley.
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