Consider the rate of return of stocks ABC and XYZ.
Year |
r
ABC
|
r
XYZ
|
1 |
20 |
% |
28 |
% |
2 |
8 |
|
11 |
|
3 |
16 |
|
19 |
|
4 |
4 |
|
1 |
|
5 |
2 |
|
−9 |
|
|
(PLEASE SKIP THE FIRST THREE QUESTIONS)
a.Calculate the arithmetic average return on these stocks over the sample period.
b.Which stock has greater dispersion around the mean return?
multiple choice
c.Calculate the geometric average returns of each stock. What do you conclude?(Do not round intermediate calculations. Round your answers to 2 decimal places.)
d.If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return?(Do not round intermediate calculations.)
e.What if the five possible outcomes were those of stock XYZ?
f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance?
multiple choice
A. Arithmetic