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Spectral factor models

Author

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  • Bandi, Federico M.
  • Chaudhuri, Shomesh E.
  • Lo, Andrew W.
  • Tamoni, Andrea

Abstract

We represent risk factors as sums of orthogonal components capturing fluctuations with cycles of different length. The representation leads to novel spectral factor models in which systematic risk is allowed—without being forced—to vary across frequencies. Frequency-specific systematic risk is captured by a notion of spectral beta. We show that traditional factor models restrict the spectral betas to be constant across frequencies. The restriction can hide horizon-specific pricing effects that spectral factor models are designed to reveal. We illustrate how the methods may lead to economically meaningful dimensionality reduction in the factor space.

Suggested Citation

  • Bandi, Federico M. & Chaudhuri, Shomesh E. & Lo, Andrew W. & Tamoni, Andrea, 2021. "Spectral factor models," Journal of Financial Economics, Elsevier, vol. 142(1), pages 214-238.
    • Handle: RePEc:eee:jfinec:v:142:y:2021:i:1:p:214-238
    DOI: 10.1016/j.jfineco.2021.04.024
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    3. Chenglu Jin & Thomas Conlon & John Cotter, 2023. "Co-Skewness across Return Horizons," Journal of Financial Econometrics, Oxford University Press, vol. 21(5), pages 1483-1518.
    4. Jozef Barunik & Lukas Vacha, 2024. "Forecasting Volatility of Oil-based Commodities: The Model of Dynamic Persistence," Papers 2402.01354, arXiv.org.
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    6. Louis R. Piccotti, 2022. "Portfolio returns and consumption growth covariation in the frequency domain, real economic activity, and expected returns," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 45(3), pages 513-549, September.
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    More about this item

    Keywords

    Systematic risk; Factor models; Frequency; Cross-sectional asset pricing;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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