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   "estimand": "Factor-model alphas and residual coskewness of beta- and volatility-sorted long-short strategies, before and after controlling for coskewness factor-mimicking portfolios; common variation across low-risk anomaly returns",
   "strategy": "A skew-aware quadratic SDF and a simulated Merton-type firm model generate predictions. These are tested with monthly decile portfolio sorts, time-series factor regressions (CAPM, FF3, FF4) augmented with option-implied skewness factors, cross-sectional regressions of alphas on residual coskewness, and principal component analysis of anomaly returns.",
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    "Pricing kernel is quadratic in the market excess return",
    "Option-implied ex ante skewness is a valid forward-looking proxy for residual coskewness",
    "Skew factor-mimicking portfolios capture coskewness risk"
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   "threats_addressed": [
    "Results driven by standard factors (FF3/FF4 controls)",
    "Sensitivity to skewness factor construction (alternative specifications)",
    "Portfolio weighting (equal vs value-weighted)"
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    "claim": "In a skew-aware SDF, CAPM alphas reflect compensation for residual coskewness that the CAPM ignores",
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    "claim": "In simulated Merton-type firms, alphas line up with residual coskewness under a skew-aware pricing kernel",
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    "evidence_ref": "Figures 3-4"
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   {
    "claim": "Option-implied ex ante skewness is associated with residual coskewness and CAPM alphas in the data",
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    "evidence_ref": "Figure 5"
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   {
    "claim": "Controlling for skew factors cuts the BaB CAPM alpha from about 125 to 33 bp per month and makes it insignificant",
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    "claim": "The first principal component explains over 90% of variation in low-risk anomaly excess returns",
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    "evidence_ref": "Table IV; Figure 8"
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   {
    "claim": "Skew factor returns explain up to 95% of the first PC of anomaly returns",
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  "structural_summary": "The introduction frames beta and volatility anomalies and claims they reflect coskewness compensation. It sketches a quadratic-SDF theory and then previews three empirical blocks with magnitudes before positioning against the skewness literature. Section I derives the theory and runs a simulation. Section II covers data and variable construction. Section III presents three empirical steps: ex ante skewness as a proxy for coskewness, skew-adjusted alphas, and PCA showing a common skew-related driver. Section IV adds robustness and extensions. A short conclusion restates the contribution, and a simulation appendix follows.",
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