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The Supply Theory of Value

Sheridan's Prescience

2/15/2020

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The q-factors library at global-q.org has just been updated through December 2019. The table below reports the latest head-to-head factor spanning tests: The Hou-Xue-Zhang (2015) q-factor model continues to dominate the Fama-French (2018) 6-factor model in the January 1967--December 2019 sample.
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On the one hand, the 6-factor model cannot subsume the q-factors. The investment premium is 0.36% per month (t = 4.45), with a 6-factor alpha of 0.09% (t = 2.65). The return on equity (Roe) premium is 0.54% (t = 5.46), with a 6-factor alpha of 0.26% (t = 4.25). The Gibbons-Ross-Shanken (1989, GRS) test strongly rejects the 6-factor model based on the null hypothesis that the 6-factor alphas of the investment and Roe premiums are jointly zero (p = 0.00).

On the other hand, the q-factor model fully subsumes the Fama-French factors. The HML, CMA, and RMW premiums are on average 0.3%, 0.29%, and 0.28% per month (t = 2.29, 3.24, and 2.82), but their q-factor alphas are tiny, 0.04%, 0.01%, and 0.03% (t = 0.35, 0.23, and 0.35), respectively. The momentum factor, UMD, is on average 0.63% (t = 3.66), but its q-factor alpha is small, only 0.15% (t = 0.66). The GRS test fails to reject the q-factor model based on the null that the q-factor alphas of HML, CMA, RMW, and UMD are jointly zero (p = 0.79).

Don't take my word for it. Go ahead and replicate the numbers. If your replication fails, I am the jerk. Otherwise, how about using the better factor model from now on?

That's right. Ten years on, it seems that the q-factor model is indeed "A Better Factor Model That Explains More Anomalies." My apologies for taking so long, but please know that we're doing the best we can.


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    Lu Zhang

    A financial economist

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