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Optimal investment for executive stockholders with exponential utility

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  • Sascha Desmettre

Abstract

The scope of this paper is to enhance the model for the own-company stockholder (Desmettre et al. in Math Methods Oper Res 72(3):347–378, 2010 ), who can voluntarily performance-link his personal wealth to his management success by acquiring stocks in the own-company whose value he can directly influence via spending work effort. The executive is thereby characterized by a parameter of risk aversion and the two work effectiveness parameters inverse work productivity and disutility stress. We extend the model to a constant absolute risk aversion framework using an exponential utility/disutility setup. A closed-form solution is given for the optimal work effort an executive will apply and we derive the optimal investment strategies of the executive. Furthermore, we determine an up-front fair cash compensation applying an indifference utility rationale. Our study shows to a large extent that the results previously obtained are robust under the choice of the utility/disutility setup. Copyright Springer-Verlag 2012

Suggested Citation

  • Sascha Desmettre, 2012. "Optimal investment for executive stockholders with exponential utility," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 35(2), pages 151-170, November.
    • Handle: RePEc:spr:decfin:v:35:y:2012:i:2:p:151-170
    DOI: 10.1007/s10203-011-0119-x
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    References listed on IDEAS

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    1. John E. Core & Wayne R. Guay & David F. Larcker, 2003. "Executive equity compensation and incentives: a survey," Economic Policy Review, Federal Reserve Bank of New York, vol. 9(Apr), pages 27-50.
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    5. Ross, Stephen A, 1973. "The Economic Theory of Agency: The Principal's Problem," American Economic Review, American Economic Association, vol. 63(2), pages 134-139, May.
    6. Sascha Desmettre & John Gould & Alexander Szimayer, 2010. "Own-company stockholding and work effort preferences of an unconstrained executive," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 72(3), pages 347-378, December.
    7. Hui Ou-Yang, 2003. "Optimal Contracts in a Continuous-Time Delegated Portfolio Management Problem," The Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 173-208.
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    More about this item

    Keywords

    Portfolio choice; Executive stockholder; Work effort; Exponential utility; M52; G11;
    All these keywords.

    JEL classification:

    • M52 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Personnel Economics - - - Compensation and Compensation Methods and Their Effects
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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