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Semiparametric Conditional Factor Models: Estimation and Inference

Author

Listed:
  • Qihui Chen
  • Nikolai Roussanov
  • Xiaoliang Wang

Abstract

This paper introduces a simple and tractable sieve estimation of semiparametric conditional factor models with latent factors. We establish large-N-asymptotic properties of the estimators without requiring large T. We also develop a simple bootstrap procedure for conducting inference about the conditional pricing errors as well as the shapes of the factor loading functions. These results enable us to estimate conditional factor structure of a large set of individual assets by utilizing arbitrary nonlinear functions of a number of characteristics without the need to pre-specify the factors, while allowing us to disentangle the characteristics' role in capturing factor betas from alphas (i.e., undiversifiable risk from mispricing). We apply these methods to the cross-section of individual U.S. stock returns and find strong evidence of large nonzero pricing errors that combine to produce arbitrage portfolios with Sharpe ratios above 3. We also document a significant decline in apparent mispricing over time.

Suggested Citation

  • Qihui Chen & Nikolai Roussanov & Xiaoliang Wang, 2023. "Semiparametric Conditional Factor Models: Estimation and Inference," NBER Working Papers 31817, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:31817
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    More about this item

    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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