Question: Consider the following maximum likelihood estimate for the excess returns of Apple against the Fama- French 3-factor model: ExRet AAPL = 0.03+1.2 ExRetMKT -0.4 SMB-0.8

Consider the following maximum likelihood

Consider the following maximum likelihood estimate for the excess returns of Apple against the Fama- French 3-factor model: ExRet AAPL = 0.03+1.2 ExRetMKT -0.4 SMB-0.8 HML. The log likelihood of the estimation = 1348. The log likelihood of the restricted model, where the coefficients of SMB and HML are forced to be zero is 1343. a. - What is the value of the LR (Likelihood Ratio) statistic used to test the null hypothesis Ho: bsmb = 0 and bhml 0? b. What is LR stat's right-tail critical value for a = 5%, if the null hypothesis is true? Find the p-value of the LR stat. d. Can we reject the null hypothesis? Explain. c. Consider the following maximum likelihood estimate for the excess returns of Apple against the Fama- French 3-factor model: ExRet AAPL = 0.03+1.2 ExRetMKT -0.4 SMB-0.8 HML. The log likelihood of the estimation = 1348. The log likelihood of the restricted model, where the coefficients of SMB and HML are forced to be zero is 1343. a. - What is the value of the LR (Likelihood Ratio) statistic used to test the null hypothesis Ho: bsmb = 0 and bhml 0? b. What is LR stat's right-tail critical value for a = 5%, if the null hypothesis is true? Find the p-value of the LR stat. d. Can we reject the null hypothesis? Explain. c

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