Portfolio Analysis in High Dimensions with Tracking Error and Weight Constraints
带跟踪误差与权重约束的高维投资组合分析AI 解读 ↓
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AI 根据所提供的论文材料归类:摘要明确将因子模型用于高维资产组合估计,直接对应金融因子;所述一般组合风险不足以支持尾部或系统性风险分类。
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This paper explores the statistical properties of forming constrained optimal portfolios within a high-dimensional set of assets. We examine portfolios with tracking error constraints, those with simultaneous tracking error and weight restrictions, and portfolios constrained solely by weight. Tracking error measures portfolio performance against a benchmark (typically an index), while weight constraints determine asset allocation based on regulatory requirements or fund prospectuses. Our approach employs a novel statistical learning technique that integrates factor models with nodewise regression, named the C onstrained R esidual Nodewise O ptimal W eight Regression (CROWN) method. We demonstrate its estimation consistency in large dimensions, even when assets outnumber the portfolio’s time span. Convergence rate results for constrained portfolio weights, risk, and Sharpe Ratio are provided, and simulation and empirical evidence highlight the method’s outstanding performance.
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