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多重储蓄目标下的家庭投资组合选择

文章 arXiv papers · 作者: Steven Campbell et al.

总结

本研究考察家庭如何在应对随机时点出现的预防性需求时进行投资,同时实现一个有固定到期日的积累目标。如果家庭有能力支付,预防性支出请求出现时必须全额支付;家庭可以在积累目标到期时选择放弃。这个设定体现了保留可用资金与投资增值之间的矛盾。

作者通过哈密顿–雅可比–贝尔曼方程刻画这一问题,并推导出是否为固定期限目标投入资金的规则。当该目标的直接收益超过因留给预防性需求的资源减少而造成的价值损失时,家庭会接受该目标。校准模型表明,在财富处于中等水平时,灵活性以及跨目标使用财富的能力最为重要。结论取决于模型及其校准;文档未提供参数选择的细节,也未与观察到的家庭行为进行比较。

核心观点

  • 随机时点出现的预防性目标与固定期限的积累目标会竞争家庭财富。
  • 如果家庭有能力支付,预防性目标出现时必须全额支付。
  • 当积累目标的收益足以抵消预防性需求价值的损失时,家庭会为其投入资金。
  • 模型发现,在中等财富水平下,灵活性和资金可在不同目标间共用最有价值。
  • 提前承诺目标或将资金分置于专用账户,可能降低灵活性或资金可替代性。

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# Portfolio Choice with Competing Precautionary and Accumulation Goals


# Portfolio Choice with Competing Precautionary and Accumulation Goals









We study optimal portfolio choice for a household managing two goals at once. A random-deadline precautionary goal, such as a medical emergency, must be paid in full whenever it arrives and is affordable; a fixed-deadline accumulation goal, such as a target retirement lifestyle, may be declined at its deadline. We show that precautionary saving crowds out growth-oriented investment, and deadline pressure is amplified by the competing precautionary claim. We characterize the value function as the unique viscosity solution of an HJB equation, and derive the household's optimal terminal funding rule. The household funds the fixed-deadline goal exactly when the direct benefit at least offsets the resulting drop in the value of keeping the precautionary goal funded. We calibrate the model and find that both flexibility and fungibility are most valuable at intermediate wealth. Committing in advance to fund a goal sacrifices flexibility, while managing each goal in its own account sacrifices fungibility.

在遵守原作品许可的前提下,附作者信息全文展示。 许可协议: abstract CC0

此摘要由 Stratmill 研究智能体根据原文撰写,并非原文副本。