Consider the rate of return of stocks ABC and XYZ. Year rABC ΙΧΥΖ 12345 20% 30% 12 12 14 18 3 0 1 -10 Required: a. Calculate the arithmetic average return on these stocks over the sample period. Arithmetic Average ГАВС ΓΧΥΖ 10% 15% b. Which stock has greater dispersion around the mean return? ABC XYZ c. Calculate the geometric average returns of each stock. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. ГАВС P Geometric Average % 0/ ГАВС ΓΧΥΖ Geometric Average % % . If you were equally likely to earn a return of 20%, 12%, 14%, 3%, or 1% in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? Note: Do not round intermediate calculations. Expected rate of return % . What if the five possible outcomes were those of stock XYZ? Expected rate of return % Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance? Geometric ○ Arithmetic
Consider the rate of return of stocks ABC and XYZ. Year rABC ΙΧΥΖ 12345 20% 30% 12 12 14 18 3 0 1 -10 Required: a. Calculate the arithmetic average return on these stocks over the sample period. Arithmetic Average ГАВС ΓΧΥΖ 10% 15% b. Which stock has greater dispersion around the mean return? ABC XYZ c. Calculate the geometric average returns of each stock. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. ГАВС P Geometric Average % 0/ ГАВС ΓΧΥΖ Geometric Average % % . If you were equally likely to earn a return of 20%, 12%, 14%, 3%, or 1% in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? Note: Do not round intermediate calculations. Expected rate of return % . What if the five possible outcomes were those of stock XYZ? Expected rate of return % Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance? Geometric ○ Arithmetic
Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter2: Risk And Return: Part I
Section: Chapter Questions
Problem 6P: The market and Stock J have the following probability distributions: a. Calculate the expected rates...
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![Consider the rate of return of stocks ABC and XYZ.
Year rABC
ΙΧΥΖ
12345
20%
30%
12
12
14
18
3
0
1
-10
Required:
a. Calculate the arithmetic average return on these stocks over the sample period.
Arithmetic Average
ГАВС
ΓΧΥΖ
10%
15%
b. Which stock has greater dispersion around the mean return?
ABC
XYZ
c. Calculate the geometric average returns of each stock.
Note: Do not round intermediate calculations. Round your answers to 2 decimal places.
ГАВС
P
Geometric Average
%
0/](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9737efd-391f-457a-98f6-aa044a0527f1%2Fb4ca9735-a5f2-4c53-9df9-2fcbfeb41eb0%2Fxwohgd_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the rate of return of stocks ABC and XYZ.
Year rABC
ΙΧΥΖ
12345
20%
30%
12
12
14
18
3
0
1
-10
Required:
a. Calculate the arithmetic average return on these stocks over the sample period.
Arithmetic Average
ГАВС
ΓΧΥΖ
10%
15%
b. Which stock has greater dispersion around the mean return?
ABC
XYZ
c. Calculate the geometric average returns of each stock.
Note: Do not round intermediate calculations. Round your answers to 2 decimal places.
ГАВС
P
Geometric Average
%
0/
![ГАВС
ΓΧΥΖ
Geometric Average
%
%
. If you were equally likely to earn a return of 20%, 12%, 14%, 3%, or 1% in each year (these are the five annual returns for stock ABC),
what would be your expected rate of return?
Note: Do not round intermediate calculations.
Expected rate of return
%
. What if the five possible outcomes were those of stock XYZ?
Expected rate of return
%
Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting
future performance?
Geometric
○ Arithmetic](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9737efd-391f-457a-98f6-aa044a0527f1%2Fb4ca9735-a5f2-4c53-9df9-2fcbfeb41eb0%2Fe30p5b_processed.png&w=3840&q=75)
Transcribed Image Text:ГАВС
ΓΧΥΖ
Geometric Average
%
%
. If you were equally likely to earn a return of 20%, 12%, 14%, 3%, or 1% in each year (these are the five annual returns for stock ABC),
what would be your expected rate of return?
Note: Do not round intermediate calculations.
Expected rate of return
%
. What if the five possible outcomes were those of stock XYZ?
Expected rate of return
%
Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting
future performance?
Geometric
○ Arithmetic
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