Chapter 14: Latent Factor Models

Conditional Factor Structure: Why Characteristics Predict Loadings advanced

When firm characteristics predict factor loadings, the covariance matrix of returns is itself a function of observables -- and that conditional structure is what IPCA exploits and what static PCA ignores.

When firm characteristics predict factor loadings, the covariance matrix of returns is itself a function of observables -- and that conditional structure is what IPCA exploits and what static PCA ignores.

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References

Characteristics are covariances: A unified model of risk and return
Bryan T. Kelly, Seth Pruitt, Yinan Su (2019) — Journal of Financial Economics
Empirical Asset Pricing via Machine Learning
Shihao Gu, Bryan Kelly, Dacheng Xiu (2020) — The Review of Financial Studies