Question
I only need help with part F, G, H, and I Year, Stock A returns, Stock B returns (Year -1 is one year ago year
I only need help with part F, G, H, and I
Year, Stock A returns, Stock B returns (Year -1 is one year ago year -2 two years ago etc)
-1 18.00% 14.50%
-2 33.00 21.80
-3 15.00 30.50
-4 0.50 7.60
-5 27.00 26.30
Year, stock C returns
-1 32.00%
-2 11.75
-3 10.75
-4 32.25
-5 6.75
A) Calculate the average rate of return for each stock during the past five years.
-11.30 for A and B.
B) Assume that someone held a portfolio consisting of 50 percent Stock A and 50 percent Stock B. What would have been the realized rate of return on the portfolio in each year for the past five years? What would have been the average return on the portfolio during this period?
-average return is 11.30. Realized rate is 16.25% for year -1, 27.40% for year -2, 22.75% for year -3, -4.05% for year -4, and 26.25% for year -5.
C) Calculate the standard deviation of returns for each stock and for the portfolio.
-SD for stock A is 20.79. SD for stock B is 20.78. The SD of returns for the portfolio is 20.13.
D) Calculate the coefficient of variation for each stock and for the portfolio. If you are a risk-averse investor, would you prefer to hold Stock A, Stock B, or the portfolio? Why?
-The coefficient for stock A is 1.84. The coefficient for stock B is 1.84. The coefficient for the portfolio is 1.78. Would prefer the portfolio over the stocks.
E) Assume a third stock, Stock C, is available for inclusion in the portfolio. Stock C produced the following returns during the past five years: (see chart at top) Input these values and calculate the average return, standard deviation, and coefficient of variation for Stock C.
-stock C return is 10.616. SD for stock C is 9.85. The coefficient for stock C is 0.9283.
F) Assume that the portfolio now consists of 33.33 percent Stock A, 33.33 percent Stock B, and 33.34 percent Stock C. How does this composition affect the portfolio return, standard deviation, and coefficient of variation versus when 50 percent was invested in A and in B?
G) Make some other changes in the portfolio, making sure that the percentages sum to 100 percent. For example, enter 25 percent for Stock A, 25 percent for Stock B, and 50 percent for Stock C. Notice that rP remains constant and that sp changes. Why do these results occur?
H) In part b, you should see that the standard deviation of the portfolio decreased only slightly because Stocks A and B were highly positively correlated with each other. The addition of Stock C causes the standard deviation of the portfolio to decline dramatically, even though sC = sA = sB. What does this change indicate about the correlation between Stock C and Stocks A and B?
I) Would you prefer to hold a portfolio consisting only of Stocks A and B or a portfolio that also includes Stock C? If others react similarly, how might this fact affect the stocks prices and rates of return?
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