ABC XYZ 11.40 11.40 b. Which stock has greater dispersion around the mean return? ABC .XYZ c. Calculate the geometric average returns of each stock. (Do not round Intermediate calculations. Round your answers to 2 dec places.) ABC XYZ Geometric Average

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Consider the rate of return of stocks ABC and XYZ.
Year
1
2
3
4
ABC
XYZ
ABC
22%
9
19
1
O ABC
Ⓒ XYZ
ABC
XYZ
Required:
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.)
XYZ
38%
11
19
-11
Arithmetic
Average
b. Which stock has greater dispersion around the mean return?
c. Calculate the geometric average returns of each stock. (Do not round Intermediate calculations. Round your answers to 2 decimal
places.)
Expected rate of return
11.40 %
11.40 %
Geometric
Average
Expected rate of return
d. If you were equally likely to earn a return of 22%, 9%, 19%, 6%, 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 (o) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting
future performance?
Transcribed Image Text:Consider the rate of return of stocks ABC and XYZ. Year 1 2 3 4 ABC XYZ ABC 22% 9 19 1 O ABC Ⓒ XYZ ABC XYZ Required: 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.) XYZ 38% 11 19 -11 Arithmetic Average b. Which stock has greater dispersion around the mean return? c. Calculate the geometric average returns of each stock. (Do not round Intermediate calculations. Round your answers to 2 decimal places.) Expected rate of return 11.40 % 11.40 % Geometric Average Expected rate of return d. If you were equally likely to earn a return of 22%, 9%, 19%, 6%, 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 (o) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance?
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