Question
78. (Calculating the geometric and arithmetic average rates of return) (Related to Checkpoint 7.2 on page 240) Marsh Inc. had the following end-of-year stock prices
78. (Calculating the geometric and arithmetic average rates of return) (Related to Checkpoint 7.2 on page 240) Marsh Inc. had the following end-of-year stock prices over the last five years and paid no cash dividends:
Times | Marsh |
1 | $10 |
2 | 12 |
3 | 18 |
4 | 7 |
5 | 10 |
a. Calculate the annual rates of return for each year from this information.
b. What is the arithmetic average rate of return earned by investing in Marshs stock over this period?
c. What is the geometric average rate of return earned by investing in Marshs stock over this period?
d. Considering that the beginning and ending stock prices for the five-year period are the same, which type of average rate of return (the arithmetic or geometric) better describes the average annual rate of return earned over the period?
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