Question
You estimate a Fama-French 3-factor model and obtain the following results: Dependent Variable: RETURN Method: Least Squares Date: XXXXTime: 22:10 Sample: 1985M01 2020M06 Included observations:
You estimate a Fama-French 3-factor model and obtain the following results:
Dependent Variable: RETURN
Method: Least Squares
Date: XXXXTime: 22:10
Sample: 1985M01 2020M06
Included observations: 426
Variable
Coefficient
Std. Error
t-Statistic
Prob.
C
-0.653930
0.440713
-1.483799
0.1386
MKT
0.976693
0.100942
9.675791
0.0000
SMB
1.158154
0.149614
7.740924
0.0000
HML
-0.000415
0.150694
-0.002756
0.9978
R-squared
0.325281
Mean dependent var
0.087371
Adjusted R-squared
0.320485
S.D. dependent var
10.88139
S.E. of regression
8.969826
Akaike info criterion
7.234955
Sum squared resid
33953.19
Schwarz criterion
7.273025
Log likelihood
-1537.045
Hannan-Quinn criter.
7.249993
F-statistic
67.81522
Durbin-Watson stat
2.089725
Prob(F-statistic)
0.000000
where: RETURN is the monthly stock excess return of a firm, MKT is market risk premium, SMB is size premium, and HML is value premium, all in percentages.
a)Interpret the estimated coefficient of MKT. How can you conclude the riskiness of the stock? [5 marks]
The co-efficient of MKT
b) On the basis of statistical significance, which variable(s) would you consider deleting from the regression? Explain your answer. [5 marks]
c) Holding other factors fixed, if the SMB increased from 1% to 1.2%, what would be the expected effect on the stock excess return? [5 marks]
d) Is the model overall statistically significant? Explain your answer. [5 marks]
e) Calculate the 95% confidence interval for the coefficient of MKT, using the 5% critical value of 1.96. [5 marks]
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