P-Trees通过经济引导的树结构提升资产定价效率,显著超越传统测试资产。
Growing the Efficient Frontier on Panel Trees
- 基于经济逻辑构建树模型,实现高维排序与可解释性结合
- 测试资产使有效前沿显著提升,阿尔法无法被基准模型解释
- 稀疏建模捕捉复杂收益特征,性能逼近过参数大模型
我们提出一类新的树模型——P-Trees,用于分析(非平衡)个体资产收益面板,通过经济引导实现高维排序并保持可解释性。在均值-方差有效框架下,P-Trees构建的测试资产显著提升了有效前沿,其阿尔法无法被基准定价模型解释。P-Trees切点组合构成可交易因子,能恢复定价核,在投资与横截面定价上表现优于主流可观测及潜因子模型。此外,P-Trees以稀疏结构捕捉资产收益复杂性,实现接近仅由过度参数化大型模型才能达到的样本外夏普比率。
原文摘要 · Abstract (English)
We introduce a new class of tree-based models, P-Trees, for analyzing (unbalanced) panel of individual asset returns, generalizing high-dimensional sorting with economic guidance and interpretability. Under the mean-variance efficient framework, P-Trees construct test assets that significantly advance the efficient frontier compared to commonly used test assets, with alphas unexplained by benchmark pricing models. P-Tree tangency portfolios also constitute traded factors, recovering the pricing kernel and outperforming popular observable and latent factor models for investments and cross-sectional pricing. Finally, P-Trees capture the complexity of asset returns with sparsity, achieving out-of-sample Sharpe ratios close to those attained only by over-parameterized large models.
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