6. The capital asset pricing model (CAPM) postulates that the mean return of each security (Y)...

 

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6. The capital asset pricing model (CAPM) postulates that the mean return of each security (Y) should be linearly related to its Beta (X2), a measure of systematic risk. A financial economist examined the following estimates on 10 stocks using theoretical and empirical model for mean stock return as; Yit =B1 + B₂X2it + B3Yit-1 + Uit AY₁=Y₁ + y2 X2it + Y3Yin-1 + Vit where uit and vit are identical and independent distribution disturbances. Stocks Mean Return (%) Mean Return (%) (t-1) 24 18 17 11.4 21 16.2 26 24 19 11 29 21 11 8 16 12 11 22 1 2 3 4 5 6 7 8 9 10 8 19 (1) (2) Beta 1.5 1.1 1.3 1.7 0.9 2.1 1.1 1.3 1.08 1.8 i) Construct a sample, estimate and average econometric models based on the theoretical models given. ii) What is the implication of Y₁-1 in both models? iii) What does model (2) imply in this case? Explain the y in the model. iv) Compute and test the expect least square estimates of models; B₁. B2 and B₁. Interpret your answers in each case. v) Compute the AY, and explain what it implies with respect to Y₁, 72, and Y3. vi) Determine the RSS, R², and Adjusted R²? Explain your answers in each case. vii) Why do we include stochastic error term in the econometric model? What does it represent in our case here? Is there any difference in u, and vie State the hypothesis and test the significance of the Beta (X2) and Yit-1. viii) ix) Construct and interpret a 95% confidence interval for all B 6. The capital asset pricing model (CAPM) postulates that the mean return of each security (Y) should be linearly related to its Beta (X2), a measure of systematic risk. A financial economist examined the following estimates on 10 stocks using theoretical and empirical model for mean stock return as; Yit =B1 + B₂X2it + B3Yit-1 + Uit AY₁=Y₁ + y2 X2it + Y3Yin-1 + Vit where uit and vit are identical and independent distribution disturbances. Stocks Mean Return (%) Mean Return (%) (t-1) 24 18 17 11.4 21 16.2 26 24 19 11 29 21 11 8 16 12 11 22 1 2 3 4 5 6 7 8 9 10 8 19 (1) (2) Beta 1.5 1.1 1.3 1.7 0.9 2.1 1.1 1.3 1.08 1.8 i) Construct a sample, estimate and average econometric models based on the theoretical models given. ii) What is the implication of Y₁-1 in both models? iii) What does model (2) imply in this case? Explain the y in the model. iv) Compute and test the expect least square estimates of models; B₁. B2 and B₁. Interpret your answers in each case. v) Compute the AY, and explain what it implies with respect to Y₁, 72, and Y3. vi) Determine the RSS, R², and Adjusted R²? Explain your answers in each case. vii) Why do we include stochastic error term in the econometric model? What does it represent in our case here? Is there any difference in u, and vie State the hypothesis and test the significance of the Beta (X2) and Yit-1. viii) ix) Construct and interpret a 95% confidence interval for all B