Financial Management: Theory & Practice
Financial Management: Theory & Practice
16th Edition
ISBN: 9781337909730
Author: Brigham
Publisher: Cengage
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Chapter 6, Problem 4P

An analyst gathered daily stock returns for Feburary 1 through March 31, calculated the Fama-French factors for each day in the sample (SMBt and HMLt), and estimated the Fama-French regression model shown in Equation 6-21. The estimated coefficients were ai = 0, bi = 1.2, ci = −0.4, and di = 1.3. On April 1, the market return was 10%, the return on the SMB portfolio (rSMB) was 3.2%, and the return on the HML portfolio (rHML) was 4.8%. Using the estimated model, what was the stock’s predicted return for April 1?

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An analyst gathered daily stock returns for February 1 through March 31, calculated the Fama-French factors for each day in the sample (SMBt and HML), and estimated the Fama-French regression model shown in Equation 6-21. The estimated coefficients were ai= 0, bi= 1.2, ci=  -0.4, and di= 1.3. On April 1, the market return was 10%, the return on the SMB portfolio (rSMB) was 3.2%, and the return on the HML portfolio (rHML) was 4.8%. Using the estimated model, what was the stock’s predicted return for April 1?
The following are the monthly rates of return for Madison Cookies and for Sophie Electric during a six-month period.   Month Madison Cookies Sophie Electric 1 -0.04 0.07 2 0.06 -0.02 3 -0.07 -0.10 4 0.12 0.15 5 -0.02 -0.06 6 0.05 0.02   Compute the following: a. Average monthly rate of return, Ri, for each stock b. Standard deviation of returns for each stock c. Covariance between the rates of return d. The correlation coefficient between the rates of return What level of correlation would you have expected before performing your calculations? How did your expectations compare with the computed correlation? Would these two stocks be good choices for diversification? Why or why not?
The following are the​ end-of-month prices for both the Standard​ & Poor's 500 Index and​ Nike's common stock. a. Using the data in the popup​ window​, calculate the​ holding-period returns for each of the months. b. Calculate the average monthly return and the standard deviation for both the​ S&P 500 and Nike. c. Develop a graph that shows the relationship between the Nike stock returns and the​ S&P 500 Index.​ (Show the Nike returns on the vertical axis and the​ S&P 500 Index returns on the horizontal​ axis.) d. From your​ graph, describe the nature of the relationship between Nike stock returns and the returns for the​ S&P 500 Index.

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