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等权与市值加权股票组合之间的主动配置

文章 arXiv papers · 作者: Brian Ceco et al.
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总结

本文档介绍一种主动策略，在等权股票组合与市值加权股票组合之间调整配置。其动机是，等权配置长期以来常常表现更好，但在市场集中度和相关性上升时可能落后。随机投资组合理论用于描述这种状态依赖性，而随机多样性离散模型则为组合配置决策提供预测。

拟议的控制方法使用交易摩擦的二次近似。该方法通过线性前向后向随机微分方程刻画最优交易速度，并采用能够预判目标变化的规则。研究在样本内校准惩罚参数，并对标普500策略进行1995至2024的历史样本外评估，同时扣除比例成本。报告称，扣除所述交易成本后，该策略的累计净收益高于两个参考组合，信息比率也高于等权组合。这些发现仅适用于该模型、数据、校准方法和历史时期，不能证明未来表现。

核心观点

  • 当市场集中度和相关性上升时，等权配置可能落后于市值加权组合。
  • 该策略使用多样性离散模型的预测，在等权组合和市场组合之间主动重新配置。
  • 随机控制模型通过二次近似纳入实施摩擦。
  • 报告的标普500样本外结果已计入比例交易成本。

标签

股票投资组合构建回测风险管理美国市场
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# Active Portfolio Management in Concentrated Equity Markets


# Active Portfolio Management in Concentrated Equity Markets









The equal-weighted portfolio is a passive, rule-based strategy that has historically been difficult to outperform, delivering higher returns than the capitalization-weighted "market" benchmark across many markets and periods. Stochastic portfolio theory (SPT) reveals that this relative performance is regime dependent, with the equal-weighted portfolio underperforming during periods of increasing market concentration and high correlations, particularly market bubbles. These observations have motivated us to formulate and solve a stochastic control problem in which an investor actively allocates between the equal-weighted and market portfolios. The investor bases their allocation decisions on forecasts made under a flexible stochastic diversity--dispersion (SDD) model. Using a quadratic surrogate for implementation frictions, we characterize the optimal allocation through a linear forward--backward SDE and obtain an explicit "aiming in front of a moving target'' representation of the optimal trading rate, in the spirit of Gârleanu and Pedersen. The penalty parameters are calibrated in sample to match the cumulative wealth effect of proportional transaction costs, while out-of-sample performance is evaluated with those costs deducted directly from portfolio wealth. Using historical S&P 500 data, we show that a mean-reverting SDD specification reproduces several empirical features of market diversity and dispersion. In out-of-sample backtests from 1995 to 2024, the resulting strategies deliver higher cumulative net returns than both the equal-weighted and market portfolios, and higher information ratios than the equal-weighted portfolio after 15-basis-point proportional transaction costs.

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。