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Optimal contracts in portfolio delegation

机译:投资组合委托中的最优合同

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The optimal contracts in portfolio delegation under general preferences are characterized when the underlying state variable is not contractible, and the principal must rely on the final returns of portfolios to design the compensation schemes for the fund manager. We show that the optimal contracts satisfy a second-order nonlinear ordinary differential equation that depends on the utility functions and the distribution of state price density. In general, there is an efficiency loss for the optimal contracts unless the utility functions of both the principal and the agent exhibit linear risk tolerance with identical cautiousness. Additional contractible observables, like stock indexes, can be used to improve the efficiency of the second-best contracts, even if they are not perfectly correlated with the underlying state price. A continuous-time example with power utilities is presented to illustrate the features of the optimal contracts.
机译:当基本状态变量不可收缩时,通常偏好下的投资组合委托中的最优合同具有特征,委托人必须依靠投资组合的最终收益来设计基金经理的薪酬计划。我们表明,最优合同满足依赖于效用函数和国家价格密度分布的二阶非线性常微分方程。通常,除非委托人和代理人的效用函数都表现出线性风险承受力且保持相同的谨慎态度,否则最优合同会存在效率损失。诸如股票指数之类的其他可收缩可观察指标,即使与基础国家价格不完全相关,也可以用来提高次优合同的效率。给出了带有电力公司的连续时间示例,以说明最佳合同的特征。

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