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Optimal strategy for a fund manager with option compensation

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  • Marco Nicolosi

    (University of Perugia)

Abstract

I consider the problem of portfolio optimization for a manager whose compensation is given by the sum of a constant and a variable term. The constant term is a fixed percentage of the managed funds that is payed to the manager independently of his performance. The variable term is a premium that is proportional to the profit earned by the manager over a benchmark at a certain evaluation date. I find the optimal strategy and the optimal portfolio value in the Black–Scholes setting when the benchmark is a linear combination of the risky asset and the money market account.

Suggested Citation

  • Marco Nicolosi, 2018. "Optimal strategy for a fund manager with option compensation," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(1), pages 1-17, May.
    • Handle: RePEc:spr:decfin:v:41:y:2018:i:1:d:10.1007_s10203-017-0204-x
    DOI: 10.1007/s10203-017-0204-x
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    References listed on IDEAS

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    1. Jennifer N. Carpenter, 2000. "Does Option Compensation Increase Managerial Risk Appetite?," Journal of Finance, American Finance Association, vol. 55(5), pages 2311-2331, October.
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    4. Stefano Herzel & Marco Nicolosi, 2017. "Portfolio allocation in actively managed funds," Economics Bulletin, AccessEcon, vol. 37(3), pages 1688-1693.
    5. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
    6. Suleyman Basak & Anna Pavlova & Alexander Shapiro, 2007. "Optimal Asset Allocation and Risk Shifting in Money Management," The Review of Financial Studies, Society for Financial Studies, vol. 20(5), pages 1583-1621, 2007 21.
    7. Jennifer Carpenter, 1999. "Does Option Compensation Increase Managerial Risk Appetite?," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-076, New York University, Leonard N. Stern School of Business-.
    8. Marco Nicolosi & Flavio Angelini & Stefano Herzel, 2018. "Portfolio management with benchmark related incentives under mean reverting processes," Annals of Operations Research, Springer, vol. 266(1), pages 373-394, July.
    9. Cuoco, Domenico & Kaniel, Ron, 2011. "Equilibrium prices in the presence of delegated portfolio management," Journal of Financial Economics, Elsevier, vol. 101(2), pages 264-296, August.
    10. Emilio Barucci & Daniele Marazzina, 2015. "Risk Seeking, Nonconvex Remuneration And Regime Switching," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-25.
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    Cited by:

    1. Emilio Barucci & Daniele Marazzina & Elisa Mastrogiacomo, 2021. "Optimal investment strategies with a minimum performance constraint," Annals of Operations Research, Springer, vol. 299(1), pages 215-239, April.
    2. Sheng, Jiliang & Xu, Si & An, Yunbi & Yang, Jun, 2022. "Dynamic asset pricing in delegated investment: An investigation from the perspective of heterogeneous beliefs of institutional and retail investors," Economic Modelling, Elsevier, vol. 107(C).
    3. Flavio Angelini & Katia Colaneri & Stefano Herzel & Marco Nicolosi, 2021. "Implicit incentives for fund managers with partial information," Computational Management Science, Springer, vol. 18(4), pages 539-561, October.

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    More about this item

    Keywords

    Investment analysis; Portfolio management; Optimal control;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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