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Optimal Portfolio Selection with Transaction Costs

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  • Phelim Boyle
  • Xiaodong Lin

Abstract

This paper examines the lifetime portfolio-selection problem in the presence of transaction costs. Using a discrete time approach, we develop analytical expressions for the investor's indirect utility function and also for the boundaries of the no-transactions region. The economy consists of a single risky asset and a riskless asset. Transactions in the risky asset incur proportional transaction costs. The investor has a power utility function and is assumed to maximize expected utility of end-of-period wealth. We illustrate the solution procedure in the case in which the returns on the risky asset follow a multiplicative binomial process. Our paper both complements and extends the recent work by Gennotte and Jung (1994), which used numerical approximations to tackle this problem.

Suggested Citation

  • Phelim Boyle & Xiaodong Lin, 1997. "Optimal Portfolio Selection with Transaction Costs," North American Actuarial Journal, Taylor & Francis Journals, vol. 1(2), pages 27-39.
    • Handle: RePEc:taf:uaajxx:v:1:y:1997:i:2:p:27-39
    DOI: 10.1080/10920277.1997.10595602
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    Cited by:

    1. Valeri Zakamouline, 2005. "A unified approach to portfolio optimization with linear transaction costs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 62(2), pages 319-343, November.
    2. Yongyang Cai & Kenneth L. Judd & Rong Xu, 2013. "Numerical Solution of Dynamic Portfolio Optimization with Transaction Costs," NBER Working Papers 18709, National Bureau of Economic Research, Inc.
    3. Michal Czerwonko & Stylianos Perrakis, 2016. "Portfolio Selection with Transaction Costs and Jump-Diffusion Asset Dynamics I: A Numerical Solution," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 6(04), pages 1-23, December.
    4. Arjmandi, Nabi, 2023. "Optimal Portfolio Rebalancing with Sweep Under Transaction Cost," MPRA Paper 117162, University Library of Munich, Germany.
    5. Li, Wei & Lam, Kin, 2002. "Optimal market timing strategies under transaction costs," Omega, Elsevier, vol. 30(2), pages 97-108, April.
    6. Chen, Xu & Yang, Xiang-qun, 2015. "Optimal consumption and investment problem with random horizon in a BMAP model," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 197-205.
    7. Kozhan, Roman, 2006. "Multiple Priors And No-Transaction Region," Working Paper Series 2006,4, European University Viadrina Frankfurt (Oder), The Postgraduate Research Programme Capital Markets and Finance in the Enlarged Europe.
    8. Kozhan, Roman & Schmid, Wolfgang, 2009. "Asset allocation with distorted beliefs and transaction costs," European Journal of Operational Research, Elsevier, vol. 194(1), pages 236-249, April.
    9. Tak Siu, 2012. "A BSDE approach to risk-based asset allocation of pension funds with regime switching," Annals of Operations Research, Springer, vol. 201(1), pages 449-473, December.

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