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Shrinking the Cross Section

Serhiy Kozak, Stefan Nagel and Shrihari Santosh

No 24070, NBER Working Papers from National Bureau of Economic Research, Inc

Abstract: We construct a robust stochastic discount factor (SDF) that summarizes the joint explanatory power of a large number of cross-sectional stock return predictors. Our method achieves robust out-of-sample performance in this high-dimensional setting by imposing an economically motivated prior on SDF coefficients that shrinks the contributions of low-variance principal components of the candidate factors. While empirical asset pricing research has focused on SDFs with a small number of characteristics-based factors—e.g., the four- or five-factor models discussed in the recent literature—we find that such a characteristics-sparse SDF cannot adequately summarize the cross-section of expected stock returns. However, a relatively small number of principal components of the universe of potential characteristics-based factors can approximate the SDF quite well.

JEL-codes: C38 G12 (search for similar items in EconPapers)
Date: 2017-11
New Economics Papers: this item is included in nep-ore
Note: AP
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Citations: View citations in EconPapers (48)

Published as Serhiy Kozak & Stefan Nagel & Shrihari Santosh, 2019. "Shrinking the Cross-Section," Journal of Financial Economics, .

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Journal Article: Shrinking the cross-section (2020) Downloads
Working Paper: Shrinking the Cross Section (2017) Downloads
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