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Overshooting the Coordinate: Where Factor Corrections Land on Characteristic Axes

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  • Useong Shin

Abstract

I propose a cap-axis zero-alpha diagnostic for factor-model evaluation. Whole-stock capitalization prefixes are paired with equal realized exposure to the aggregate market, producing a bridge-alpha curve that localizes pricing errors within the market. Finite-grid HAC-Gaussian inference and residual-block calibration provide size-controlled functional tests. In 1967--2024 CRSP data, q5's negative daily bridge attenuates under lead--lag correction and is small monthly, whereas Fama-French and Carhart bridges become more visible monthly. Across 155 factors, cap-axis magnitude is neither a monotone transformation of maximum-Sharpe gain nor explained by exposure to FF3 SMB.

Suggested Citation

  • Useong Shin, 2026. "Overshooting the Coordinate: Where Factor Corrections Land on Characteristic Axes," Papers 2607.05091, arXiv.org, revised Jul 2026.
  • Handle: RePEc:arx:papers:2607.05091
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    References listed on IDEAS

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    1. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    2. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    3. Lewellen, Jonathan & Nagel, Stefan & Shanken, Jay, 2010. "A skeptical appraisal of asset pricing tests," Journal of Financial Economics, Elsevier, vol. 96(2), pages 175-194, May.
    4. Serhiy Kozak & Stefan Nagel & Shrihari Santosh, 2018. "Interpreting Factor Models," Journal of Finance, American Finance Association, vol. 73(3), pages 1183-1223, June.
    5. Kent Daniel & Lira Mota & Simon Rottke & Tano Santos & Andrew KarolyiEditor, 2020. "The Cross-Section of Risk and Returns," Review of Finance, European Finance Association, vol. 33(5), pages 1927-1979.
    6. Serhiy Kozak & Stefan Nagel, 2023. "When Do Cross-Sectional Asset Pricing Factors Span the Stochastic Discount Factor?," NBER Working Papers 31275, National Bureau of Economic Research, Inc.
    7. Novy-Marx, Robert, 2013. "The other side of value: The gross profitability premium," Journal of Financial Economics, Elsevier, vol. 108(1), pages 1-28.
    8. Kewei Hou & Chen Xue & Lu Zhang, 2015. "Editor's Choice Digesting Anomalies: An Investment Approach," The Review of Financial Studies, Society for Financial Studies, vol. 28(3), pages 650-705.
    9. Lo, Andrew W & MacKinlay, A Craig, 1990. "Data-Snooping Biases in Tests of Financial Asset Pricing Models," The Review of Financial Studies, Society for Financial Studies, vol. 3(3), pages 431-467.
    10. Theis Ingerslev Jensen & Bryan Kelly & Lasse Heje Pedersen, 2023. "Is There a Replication Crisis in Finance?," Journal of Finance, American Finance Association, vol. 78(5), pages 2465-2518, October.
    11. Soebhag, Amar & Van Vliet, Bart & Verwijmeren, Patrick, 2024. "Non-standard errors in asset pricing: Mind your sorts," Journal of Empirical Finance, Elsevier, vol. 78(C).
    12. Hansen, Lars Peter & Jagannathan, Ravi, 1997. "Assessing Specification Errors in Stochastic Discount Factor Models," Journal of Finance, American Finance Association, vol. 52(2), pages 557-590, June.
    13. Daniel, Kent & Titman, Sheridan, 1997. "Evidence on the Characteristics of Cross Sectional Variation in Stock Returns," Journal of Finance, American Finance Association, vol. 52(1), pages 1-33, March.
    14. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    15. Stefano Giglio & Dacheng Xiu & Dake Zhang, 2025. "Test Assets and Weak Factors," Journal of Finance, American Finance Association, vol. 80(1), pages 259-319, February.
    16. Matias D. Cattaneo & Richard K. Crump & Max H. Farrell & Ernst Schaumburg, 2020. "Characteristic-Sorted Portfolios: Estimation and Inference," The Review of Economics and Statistics, MIT Press, vol. 102(3), pages 531-551, July.
    17. Useong Shin, 2026. "A Cap-Axis Integral Diagnostic of Factor Models," Papers 2607.01765, arXiv.org, revised Jul 2026.
    18. Titman, Sheridan & Wei, K. C. John & Xie, Feixue, 2004. "Capital Investments and Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(4), pages 677-700, December.
    19. Svetlana Bryzgalova & Markus Pelger & Jason Zhu, 2025. "Forest through the Trees: Building Cross‐Sections of Stock Returns," Journal of Finance, American Finance Association, vol. 80(5), pages 2447-2506, October.
    20. Francisco Barillas & Jay Shanken, 2018. "Comparing Asset Pricing Models," Journal of Finance, American Finance Association, vol. 73(2), pages 715-754, April.
    21. Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-1152, September.
    22. Kent Daniel & Lira Mota & Simon Rottke & Tano Santos, 2020. "The Cross-Section of Risk and Returns," The Review of Financial Studies, Society for Financial Studies, vol. 33(5), pages 1927-1979.
    23. Jegadeesh, Narasimhan & Titman, Sheridan, 1993. "Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 48(1), pages 65-91, March.
    24. Kewei Hou & Haitao Mo & Chen Xue & Lu Zhang, 2021. "An Augmented q-Factor Model with Expected Growth [Abnormal returns to a fundamental analysis strategy]," Review of Finance, European Finance Association, vol. 25(1), pages 1-41.
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