# Problem Solving Using Hypothetical data

Question 1

The attached file contains hypothetical data for working this problem. Goodman Corporation’s and Landry Incorporated’s stock prices and dividends, along with the Market Index, are shown in the file. Stock prices are reported for December 31 of each year, and dividends reflect those paid during the year. The market data are adjusted to include dividends.

1. Use the data given to calculate annual returns for Goodman, Landry, and the Market Index, and then calculate average returns over the five-year period.  (Hint: Remember, returns are calculated by subtracting the beginning price from the ending price to get the capital gain or loss, adding the dividend to the capital gain or loss, and dividing the result by the beginning price. Assume that dividends are already included in the index.   Also, you cannot calculate the rate of return for 2015 because you do not have 2014 data.)
2. Calculate the standard deviation of the returns for Goodman, Landry, and the Market Index.  (Hint:  Use the sample standard deviation formula given in the chapter, which corresponds to the STDEV function in Excel.)
3. On a stand-alone basis which corporation is the least risky?
4. Construct a scatter diagram graph that shows Goodman’s and Landry’ returns on the vertical axis and the Market Index’s returns on the horizontal axis.
5. Estimate Goodman’s and Landry’s betas as the slopes of regression lines with stock returns on the vertical axis (y-axis) and market return on the horizontal axis (x-axis).  (Hint: use Excel’s SLOPE function.)  Are these betas consistent with your graph?
6. The risk-free rate on long-term Treasury bonds is 8.04%.  Assume that the market risk premium is 6%.  What is the expected return on the market?  Now use the SML equation to calculate the two companies’ required returns.
7. If you formed a portfolio that consisted of 60% Goodman stock and 40% Landry stock, what would be its beta and its required return?
8. Suppose an investor wants to include Goodman Industries’ stock in his or her portfolio.  Stocks A, B, and C are currently in the portfolio, and their betas are 0.769, 0.985, and 1.423, respectively.  Calculate the new portfolio’s required return if it consists of 30% of Goodman, 20% of Stock A, 30% of Stock B, and 20% of Stock C.

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