Question
Consider the rate of return of stocks ABC and XYZ. Year r ABC r XYZ 1 22 % 28 % 2 8 11 3 10
Consider the rate of return of stocks ABC and XYZ.
Year | rABC | rXYZ | |||||||||
1 | 22 | % | 28 | % | |||||||
2 | 8 | 11 | |||||||||
3 | 10 | 19 | |||||||||
4 | 3 | 1 | |||||||||
5 | 1 | 15 | |||||||||
a. Calculate the arithmetic average return on these stocks over the sample period. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
b. Which stock has greater dispersion around the mean return?
-
XYZ
-
ABC
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 22%, 8%, 10%, 3%, or 1%, 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. Round your answers to 2 decimal places.)
e. What if the five possible outcomes were those of stock XYZ? (Do not round intermediate calculations. Round your answers to 2 decimal places.)
f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance?
-
Arithmetic
-
Geometric
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started