QUESTION 1 (100%). In this question you will use an excess-return format of the SI model...

 

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QUESTION 1 (100%). In this question you will use an excess-return format of the SI model to test the CAPM for Delta stock. In this model, the dependent variable is the excess return on a risky asset (return on a risky asset minus a T-bill return) and the independent variable is the excess return on a market portfolio (a market return minus a T-bill return): Roelta,t Rft=aDelta + PDelta (RMt - Rft)+ EDelta,t for t=Jan1983,...,Dec1987. a. Assuming that the risk-free rate is constant over the investment horizon such that rft = rf for all t, how are a Delta and apelta related? What restrictions does the CAPM theory place on a Delta in the SI regression and a peltain the CAPM regression? b. Using the 60 observations from January 1983 to December 1987, construct the excess return variables and then use regression analysis to estimate a Delta and Delta 1 from the CAPM regression for Delta. Report the estimated coefficients, the estimated standard errors of the estimated coefficients, and the goodness of fit measure of the fitted regression (R2). Interpret the estimation result. c. Test Ho: a Delta 0 versus Ho: Delta 0 in the estimated CAPM regression by using a p-value approach. Interpret the test result. = d. Would a rejection of Ho: apelta 0 versus Ho: a Delta 0 imply that the CAPM theory has been invalidated by the data? Why or why not? e. Test Ho: PDelta = 0 against Ho: PDelta # 0 in the estimated CAPM regression by using a p-value approach. Interpret the test result. f. Give an interpretation to the following hypotheses Ho: Delta 1 versus H₁: Delta ‡ 1. What is it trying to test? Then test the null hypothesis by using a p-value approach. Inte ret the test result. g. Using the OLS estimation result, write down the equation for the predicted values of the CAPM for Delta? Plot these predicted values together with the values of spelta,t as a function of t over the sample period in the same graph. Comment on how visually the CAPM is or is not able to explain the returns for Delta over time during the sample period. h. Using the OLS estimation result, write down the equation for the residuals of the CAPM for Delta? Plot these residuals as a function of t over the sample period in the same graph. Comment on how visually the CAPM is or is not able to explain the returns for Delta over time during the sample period. 2 T. S. Wirjanto QUESTION 1 (100%). In this question you will use an excess-return format of the SI model to test the CAPM for Delta stock. In this model, the dependent variable is the excess return on a risky asset (return on a risky asset minus a T-bill return) and the independent variable is the excess return on a market portfolio (a market return minus a T-bill return): Roelta,t Rft=aDelta + PDelta (RMt - Rft)+ EDelta,t for t=Jan1983,...,Dec1987. a. Assuming that the risk-free rate is constant over the investment horizon such that rft = rf for all t, how are a Delta and apelta related? What restrictions does the CAPM theory place on a Delta in the SI regression and a peltain the CAPM regression? b. Using the 60 observations from January 1983 to December 1987, construct the excess return variables and then use regression analysis to estimate a Delta and Delta 1 from the CAPM regression for Delta. Report the estimated coefficients, the estimated standard errors of the estimated coefficients, and the goodness of fit measure of the fitted regression (R2). Interpret the estimation result. c. Test Ho: a Delta 0 versus Ho: Delta 0 in the estimated CAPM regression by using a p-value approach. Interpret the test result. = d. Would a rejection of Ho: apelta 0 versus Ho: a Delta 0 imply that the CAPM theory has been invalidated by the data? Why or why not? e. Test Ho: PDelta = 0 against Ho: PDelta # 0 in the estimated CAPM regression by using a p-value approach. Interpret the test result. f. Give an interpretation to the following hypotheses Ho: Delta 1 versus H₁: Delta ‡ 1. What is it trying to test? Then test the null hypothesis by using a p-value approach. Inte ret the test result. g. Using the OLS estimation result, write down the equation for the predicted values of the CAPM for Delta? Plot these predicted values together with the values of spelta,t as a function of t over the sample period in the same graph. Comment on how visually the CAPM is or is not able to explain the returns for Delta over time during the sample period. h. Using the OLS estimation result, write down the equation for the residuals of the CAPM for Delta? Plot these residuals as a function of t over the sample period in the same graph. Comment on how visually the CAPM is or is not able to explain the returns for Delta over time during the sample period. 2 T. S. Wirjanto

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To test the Capital Asset Pricing Model CAPM for Delta stock you have provided a regression equation R Delta t R ft alpha Delta beta Delta R Mt R ft epsilon Delta t Lets break down the questions step ... View the full answer