Why would you want to short the B to get the SMB? It’s there, regardless of whether or not you short the B. Similarly, the ERP is there even if you don’t short T-Bills.
]]>Excellent. Thanks for the analysis.
]]>Here is a comparison of IJS, MDY, and VBR over a recent 5-year period.
VBR is only slightly more tilted towards small stocks than MDY, but it has quite a bit more value tilt than MDY.
IJS:
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.002252 0.001588 -1.418 0.162
rmrf 0.892569 0.032434 27.520 < 2e-16 ***
smb 0.903898 0.072353 12.493 < 2e-16 ***
hml 0.393902 0.059197 6.654 2.09e-08 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 0.01151 on 50 degrees of freedom
(6 observations deleted due to missingness)
Multiple R-squared: 0.9744, Adjusted R-squared: 0.9729
F-statistic: 635.4 on 3 and 50 DF, p-value: < 2.2e-16
MDY:
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.0001175 0.0016186 0.073 0.942
rmrf 1.0094366 0.0330607 30.533 < 2e-16 ***
smb 0.4871640 0.0737520 6.605 2.49e-08 ***
hml -0.0622261 0.0603411 -1.031 0.307
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 0.01174 on 50 degrees of freedom
(6 observations deleted due to missingness)
Multiple R-squared: 0.9672, Adjusted R-squared: 0.9653
F-statistic: 491.9 on 3 and 50 DF, p-value: < 2.2e-16
VBR:
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.000903 0.001672 -0.540 0.592
rmrf 0.961907 0.034158 28.160 < 2e-16 ***
smb 0.584734 0.076200 7.674 5.33e-10 ***
hml 0.489201 0.062344 7.847 2.87e-10 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 0.01213 on 50 degrees of freedom
(6 observations deleted due to missingness)
Multiple R-squared: 0.9724, Adjusted R-squared: 0.9707
F-statistic: 587.3 on 3 and 50 DF, p-value: < 2.2e-16
I wonder if it would be in the middle, but leaning more towards the second smallest section.
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