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On pre-commitment aspects of a time-consistent strategy for a mean-variance investor

机译:关于均值方差投资者的时间一致策略的承诺前方面

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In this paper, a link between a time-consistent and a pre-commitment investment strategy is established. We define an implied investment target, which is implicitly contained in a time-consistent strategy at a given time step and wealth level. By imposing the implied investment target at the initial time step on a time-consistent strategy, we form a hybrid strategy which may generate better mean-variance efficient frontiers than the time-consistent strategy. We extend the numerical algorithm proposed in Cong and Oosterlee (2016b) to solve constrained time-consistent mean-variance optimization problems. Since the time-consistent and the pre-commitment strategies generate different terminal wealth distributions, time-consistency is not always inferior to pre-commitment. (C) 2016 Elsevier B.V. All rights reserved.
机译:本文建立了时间一致和承诺前投资策略之间的联系。我们定义了一个隐含的投资目标,该目标隐含在给定时间步长和财富水平下的时间一致策略中。通过将隐含的投资目标强加在时间一致策略的初始时间步上,我们形成了一种混合策略,它可以产生比时间一致策略更好的均值方差有效边界。我们扩展了Cong和Oosterlee(2016b)中提出的数值算法,以解决约束时间一致的均值方差优化问题。由于时间一致和预先承诺策略生成不同的终端财富分布,因此时间一致并不总是劣于预先承诺。 (C)2016 Elsevier B.V.保留所有权利。

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