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Asset pricing under optimal contracts

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  • Cvitanić, Jakŝa
  • Xing, Hao

Abstract

We consider the problem of finding equilibrium asset prices in a financial market in which a portfolio manager (Agent) invests on behalf of an investor (Principal), who compensates the manager with an optimal contract. We extend a model from Buffa, Vayanos and Woolley (2014) by allowing general contracts, and by allowing the portfolio manager to invest privately in individual risky assets or the index. To alleviate the effect of moral hazard, Agent is optimallycompensated by benchmarking to the index, which, however, may incentivize him to be too much of a “closet indexer”. To counter those incentives, the optimal contract rewards Agent for taking specific risk of individual assets in excess of the systematic risk of the index, by rewarding the deviation between the portfolio return and the return of an index portfolio, and the deviation’s quadratic variation.

Suggested Citation

  • Cvitanić, Jakŝa & Xing, Hao, 2018. "Asset pricing under optimal contracts," LSE Research Online Documents on Economics 84952, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:84952
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    References listed on IDEAS

    as
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    Citations

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    Cited by:

    1. Buffa, Andrea M. & Hodor, Idan, 2023. "Institutional investors, heterogeneous benchmarks and the comovement of asset prices," Journal of Financial Economics, Elsevier, vol. 147(2), pages 352-381.
    2. Zhaolin Li & Samuel N. Kirshner, 2021. "Salesforce Compensation and Two‐Sided Ambiguity: Robust Moral Hazard with Moment Information," Production and Operations Management, Production and Operations Management Society, vol. 30(9), pages 2944-2961, September.
    3. Antonio Díaz & Francisco Jareño & Eliseo Navarro, 2022. "Yield curve data choice and potential moral hazard: An empirical exercise on pricing callable bonds," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(2), pages 2124-2145, April.
    4. Jakša Cvitanić & Julien Hugonnier, 2022. "Optimal fund menus," Mathematical Finance, Wiley Blackwell, vol. 32(2), pages 455-516, April.
    5. Constantin Mellios & Anh Ngoc Lai, 2022. "Incentive Fees with a Moving Benchmark and Portfolio Selection under Loss Aversion," Post-Print hal-03708926, HAL.
    6. Alessandro Chiusolo & Emma Hubert, 2024. "A new approach to principal-agent problems with volatility control," Papers 2407.09471, arXiv.org.
    7. Emma Hubert & Thibaut Mastrolia & Dylan Possamai & Xavier Warin, 2020. "Incentives, lockdown, and testing: from Thucydides's analysis to the COVID-19 pandemic," Papers 2009.00484, arXiv.org, revised Apr 2022.
    8. Sotes-Paladino, Juan & Zapatero, Fernando, 2022. "Carrot and stick: A role for benchmark-adjusted compensation in active fund management," Journal of Financial Intermediation, Elsevier, vol. 52(C).
    9. Guillermo Alonso Alvarez & Sergey Nadtochiy & Kevin Webster, 2022. "Optimal brokerage contracts in Almgren-Chriss model with multiple clients," Papers 2204.05403, arXiv.org.
    10. Emma Hubert, 2023. "Continuous-time incentives in hierarchies," Finance and Stochastics, Springer, vol. 27(3), pages 605-661, July.
    11. Emma Hubert, 2020. "Continuous-time incentives in hierarchies," Papers 2007.10758, arXiv.org.
    12. Jiliang Sheng & Yanyan Yang & Xiaoting Wang & Jun Yang, 2024. "How nonlinear benchmark in delegation contract can affect asset price and price informativeness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(4), pages 1117-1168, December.
    13. Daniel Krv{s}ek & Dylan Possamai, 2023. "Randomisation with moral hazard: a path to existence of optimal contracts," Papers 2311.13278, arXiv.org.

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    More about this item

    Keywords

    asset-management; equilibrium asset pricing; optimal contracts; principal–agent problem;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • J33 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Compensation Packages; Payment Methods
    • M52 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Personnel Economics - - - Compensation and Compensation Methods and Their Effects

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