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Conditional Analysis and a Principal-Agent problem

Author

Listed:
  • Julio Backhoff
  • Ulrich Horst
Abstract
We analyze conditional optimization problems arising in discrete time Principal-Agent problems of delegated portfolio optimization with linear contracts. Applying tools from Conditional Analysis we show that some results known in the literature for very specific instances of the problem carry over to translation invariant and time-consistent utility functions in very general probabilistic settings. However, we find that optimal contracts must in general make use of derivatives for compensation.

Suggested Citation

  • Julio Backhoff & Ulrich Horst, 2014. "Conditional Analysis and a Principal-Agent problem," Papers 1412.4698, arXiv.org, revised Jun 2016.
  • Handle: RePEc:arx:papers:1412.4698
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    References listed on IDEAS

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    1. Jakv{s}a Cvitani'c & Dylan Possamai & Nizar Touzi, 2014. "Moral Hazard in Dynamic Risk Management," Papers 1406.5852, arXiv.org, revised Mar 2015.
    2. Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 957-984.
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    6. Borch, Karl, 1960. "Reciprocal Reinsurance Treaties," ASTIN Bulletin, Cambridge University Press, vol. 1(4), pages 170-191, December.
    7. Barrieu, Pauline & El Karoui, Nicole, 2005. "Inf-convolution of risk measures and optimal risk transfer," LSE Research Online Documents on Economics 2829, London School of Economics and Political Science, LSE Library.
    8. Aharon Ben‐Tal & Marc Teboulle, 2007. "An Old‐New Concept Of Convex Risk Measures: The Optimized Certainty Equivalent," Mathematical Finance, Wiley Blackwell, vol. 17(3), pages 449-476, July.
    9. Pauline Barrieu & Nicole El Karoui, 2005. "Inf-convolution of risk measures and optimal risk transfer," Finance and Stochastics, Springer, vol. 9(2), pages 269-298, April.
    10. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(4), pages 599-617.
    11. 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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    Citations

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    Cited by:

    1. Julio Backhoff-Veraguas & Patrick Beissner & Ulrich Horst, 2022. "Robust contracting in general contract spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 917-945, June.
    2. Julio Backhoff-Veraguas & Patrick Beissner & Ulrich Horst, 2019. "Robust Contracting in General Contract Spaces," Papers 1910.12516, arXiv.org, revised Mar 2021.

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