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Principal-Agent Problems with Exit Options

  • Jaksa Cvitanic , Xuhu Wan und Jianfeng Zhang
Veröffentlicht/Copyright: 6. Oktober 2008

We consider the problem of when to deliver the contract payoff, in a continuous-time principal-agent setting, in which the agent's effort is unobservable. The principal can design contracts of a simple form that induce the agent to ask for the payoff at the time of the principal's choosing. The optimal time of payment depends on the agent's and the principal's outside options. We develop a theory for general utility functions, while with CARA utilities we are able to specify conditions under which the optimal payment time is not random. However, in general, the optimal payment time is typically random. One illustrative application is the case when the agent can be fired, after having been paid a severance payment, and then replaced by another agent. The methodology we use is the stochastic maximum principle and its link to Forward-Backward Stochastic Differential Equations.

Published Online: 2008-10-6

©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston

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Heruntergeladen am 18.11.2025 von https://www.degruyterbrill.com/document/doi/10.2202/1935-1704.1474/pdf
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