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以递减 CVaR 路径设计目标日期基金

文章 arXiv papers · 作者: Israel Mu\~noz et al.
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总结

该框架将目标日期基金的投资目标与养老金设计要素联系起来，例如缴费率、工作年限、退休年龄和替代率目标。基金发起方不只是规定基于年龄的资产上限，而是设定逐步降低的投资组合层面条件风险价值约束，旨在让管理人有空间追求所需回报，同时控制风险。

评估并未假设管理人每月都会选择最优投资组合，而是抽取符合 CVaR 约束的资产配置，并评估达到目标的平均概率以及基金存续期内的累计风险。作为智利养老金改革的概念验证，该分析使用九类智利及全球资产类别，积累期为40年。研究指出，风险开始下降的年龄是重要的设计选择，并发现缴费密度较低可能限制目标的实现能力。结果取决于所建模的情境，并不能证明抽取的资产配置代表管理人的实际行为。

核心观点

  • 可根据养老金设计目标和参与者情况推导目标回报。
  • 递减的 CVaR 约束为基金发起方提供了直接控制投资组合风险随时间变化的方式。
  • 评估符合条件的资产配置，避免假设管理人每期都会选出最佳组合。
  • 该框架同时跟踪达到目标回报的概率和累计风险。
  • 缴费密度可能限制结果，这是投资组合设计无法弥补的。

标签

多资产风险管理投资组合构建统计学
全文
# A Declining CVaR Glidepath Framework for Target-Date Fund Design with an Application to the Chilean Pension System


# A Declining CVaR Glidepath Framework for Target-Date Fund Design with an Application to the Chilean Pension System









We propose a framework for designing Target-Date Funds (TDFs) around an explicit return objective while controlling risk directly at the portfolio level through a declining Conditional Value-at-Risk (CVaR) constraint. In this approach, the regulator or sponsor specifies a CVaR glidepath that gives the portfolio manager enough flexibility to reach a target return with a reasonably high probability. The target return is determined exogenously from pension-design inputs such as retirement age, contribution rate, working years, life expectancy, and replacement-rate goals. This differs from conventional TDF design, where age-dependent asset-class limits are set without an explicit link to a required return. A key feature of the method is that it does not assume the manager selects an optimal portfolio each period. Instead, each month the manager draws an allocation from the set of portfolios satisfying the CVaR constraint. This yields a conservative evaluation of each glidepath: success probabilities are averages over admissible allocations, rather than best-case outcomes. We introduce two figures of merit: the probability of meeting the target return and the cumulative risk assumed over the life of the TDF. As a proof of concept, we apply the framework to Chile's 2025 pension reform using nine Chilean and global asset classes and a 40-year accumulation horizon. The results show that the transition age at which risk starts to decline is the most consequential design parameter, and that contribution density acts as a hard constraint: below a critical threshold, portfolio design alone cannot compensate for structurally low contributions. The framework is general and can be applied to any TDF designed around an explicit return objective.

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。