IDEAS home Printed from https://ideas.repec.org/a/spr/decfin/v41y2018i1d10.1007_s10203-017-0204-x.html
   My bibliography  Save this article

Optimal strategy for a fund manager with option compensation

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10203-017-0204-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10203-017-0204-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    2. Suleyman Basak & Alex Shapiro & Lucie Teplá, 2006. "Risk Management with Benchmarking," Management Science, INFORMS, vol. 52(4), pages 542-557, April.
    3. Stefano Herzel & Marco Nicolosi, 2017. "Portfolio allocation in actively managed funds," Economics Bulletin, AccessEcon, vol. 37(3), pages 1688-1693.
    4. 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.
    5. 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-.
    6. 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.
    7. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    8. 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.
    9. 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.
    10. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Suleyman Basak & Dmitry Makarov, 2014. "Strategic Asset Allocation in Money Management," Journal of Finance, American Finance Association, vol. 69(1), pages 179-217, February.
    4. Constantin Mellios & Anh Ngoc Lai, 2022. "Incentive Fees with a Moving Benchmark and Portfolio Selection under Loss Aversion," Post-Print hal-03708926, HAL.
    5. Basak, Suleyman & Makarov, Dmitry, 2012. "Difference in interim performance and risk taking with short-sale constraints," Journal of Financial Economics, Elsevier, vol. 103(2), pages 377-392.
    6. Marcos Escobar-Anel & Michel Kschonnek & Rudi Zagst, 2022. "Portfolio optimization: not necessarily concave utility and constraints on wealth and allocation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(1), pages 101-140, February.
    7. Murray Carlson & Ali Lazrak, 2006. "Leverage Choice and Credit Spread Dynamics when Managers Risk Shift," 2006 Meeting Papers 193, Society for Economic Dynamics.
    8. Ewald, Christian-Oliver & Zhang, Hai, 2016. "Hedge fund seeding via fees-for-seed swaps under idiosyncratic risk," Journal of Economic Dynamics and Control, Elsevier, vol. 71(C), pages 45-59.
    9. Marcos Escobar-Anel & Vincent Höhn & Luis Seco & Rudi Zagst, 2018. "Optimal fee structures in hedge funds," Journal of Asset Management, Palgrave Macmillan, vol. 19(7), pages 522-542, December.
    10. Castaneda, Pablo, 2005. "Portfolio Choice and Benchmarking: The Case of the Unemployment Insurance Fund in Chile," MPRA Paper 3346, University Library of Munich, Germany, revised 30 Dec 2006.
    11. Alain Bensoussan & Abel Cadenillas & Hyeng Keun Koo, 2015. "Entrepreneurial Decisions on Effort and Project with a Nonconcave Objective Function," Mathematics of Operations Research, INFORMS, vol. 40(4), pages 902-914, October.
    12. Basak, Suleyman & Pavlova, Anna & Shapiro, Alex, 2003. "Offsetting the Incentives: Risk Shifting and Benefits of Benchmarking in Money Management," Working papers 4303-03, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    13. Chen, An & Hieber, Peter & Nguyen, Thai, 2019. "Constrained non-concave utility maximization: An application to life insurance contracts with guarantees," European Journal of Operational Research, Elsevier, vol. 273(3), pages 1119-1135.
    14. Lan, Yingcong & Wang, Neng & Yang, Jinqiang, 2013. "The economics of hedge funds," Journal of Financial Economics, Elsevier, vol. 110(2), pages 300-323.
    15. Aleksandr G. Alekseev & Mikhail V. Sokolov, 2016. "Benchmark-based evaluation of portfolio performance: a characterization," Annals of Finance, Springer, vol. 12(3), pages 409-440, December.
    16. Castañeda, Pablo & Devoto, Benjamín, 2016. "On the structural estimation of an optimal portfolio rule," Finance Research Letters, Elsevier, vol. 16(C), pages 290-300.
    17. Jakša Cvitanić & Julien Hugonnier, 2022. "Optimal fund menus," Mathematical Finance, Wiley Blackwell, vol. 32(2), pages 455-516, April.
    18. Hodder, James E. & Jackwerth, Jens Carsten, 2011. "Managerial responses to incentives: Control of firm risk, derivative pricing implications, and outside wealth management," Journal of Banking & Finance, Elsevier, vol. 35(6), pages 1507-1518, June.
    19. Frank Seifried, 2010. "Optimal investment with deferred capital gains taxes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 181-199, February.
    20. 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.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:decfin:v:41:y:2018:i:1:d:10.1007_s10203-017-0204-x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.