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explain the results as they relate to exposures to the risk factors in this mode

ID: 3295886 • Letter: E

Question

explain the results as they relate to exposures to the risk factors in this model. Is there proof that this fund had particularly noteworthy performance during the 24-month period analyzed?
we do a regression using the 3 French fama model
Rfund-rf = i + i(mktrf) + si(smb) + hi(hml)

Regression Statistics Multiple R 0.933074417 R Square 0.870627868 Adjusted R Square 0.858499231 Standard Error 0.019223128 Observations 36 ANOVA df SS MS F Significance F Regression 3 0.07957743 0.02652581 71.78282639 2.66527E-14 Residual 32 0.011824916 0.000369529 Total 35 0.091402347 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 0.009612773 0.003474703 2.766502028 0.009334111 0.002535035 0.016690512 0.002535035 0.016690512 mktrf 0.897972182 0.104240893 8.614394596 7.62729E-10 0.685640432 1.110303932 0.685640432 1.110303932 smb 0.878310948 0.22292376 3.939961122 0.000414467 0.424230108 1.332391788 0.424230108 1.332391788 hml 0.163099977 0.196757436 0.828939329 0.413279379 -0.237681805 0.56388176 -0.237681805 0.56388176

Explanation / Answer

Rfund-rf = i + i(mktrf) + si(smb) + hi(hml)

=0.0096+0.897972*mktrf+0.87831*smb+0.163099977*hml

the given model has significance F = 2.66527E-14 << 0.05

hence the model is significant

R^2 = 0.8706278

87 % of variation is explaine dby this model

if p-value < 0.05 ,the independent variable is significant

here mktrf and smb are significant   ,whereas hml is not .