Testing the Conditional CAPM using Cross-sectional Regressions: A Multi-task Learning Approach

Publikation: Arbeitspapier/PreprintArbeitspapier/Diskussionspapier

Autoren

Externe Organisationen

  • Goethe-Universität Frankfurt am Main
  • Eberhard Karls Universität Tübingen
  • Universität zu Köln
  • Leibniz-Institut für Finanzmarktforschung SAFE
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Details

OriginalspracheEnglisch
Seitenumfang67
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 16 Apr. 2024
Extern publiziertJa

Abstract

In this paper, we introduce a novel representation of the conditional CAPM that allows us to express both the beta and the market premium as functions of option prices. To test our model, we conduct cross-sectional regressions that include the implied beta and other stock characteristics as regressors. We contribute to the existing literature by 1) systematically selecting stock characteristics with a combination of ℓ1- and ℓ2-regularization, known as the multi-task Lasso, and 2) addressing the problem of post-selection inference via repeated sample splitting. Empirically, we find that while variants of the momentum effect lead to a rejection of our model, the implied beta is by far the most important predictor of cross-sectional return variation. The framework is suitable to test other implementations of the conditional CAPM or, more generally, conditional linear factor models with time-varying parameters.

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Testing the Conditional CAPM using Cross-sectional Regressions: A Multi-task Learning Approach. / Grammig, Joachim; Hanenberg, Constantin; Schlag, Christian et al.
2024.

Publikation: Arbeitspapier/PreprintArbeitspapier/Diskussionspapier

Grammig J, Hanenberg C, Schlag C, Sönksen J. Testing the Conditional CAPM using Cross-sectional Regressions: A Multi-task Learning Approach. 2024 Apr 16. Epub 2024 Apr 16. doi: 10.2139/ssrn.4788066
Grammig, Joachim ; Hanenberg, Constantin ; Schlag, Christian et al. / Testing the Conditional CAPM using Cross-sectional Regressions : A Multi-task Learning Approach. 2024.
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AU - Grammig, Joachim

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AU - Sönksen, Jantje

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