(Solving a comprehensive problem) Use the end-of-year stock price data in the popup window, to answer the following questions for the Harris and Pinwheel companies. a. Compute the annual rates of return for each time period and for both firms. b. Calculate both the arithmetic and the geometric mean rates of return for the entire three-year period using your annual rates of return from part a. (Note: you may assume that neither firm pays any dividends.) c. Compute a three-year rate of return spanning the entire period (i.e., using the ending price for period 1 and ending price for period 4). d. Since the rate of return calculated in part c is a three-year rate of return, convert it to an annual rate of return by using the following equation: -)-(.* e. How is the annual rate of return calculated in part d related to the geometric rate of return? When you are evaluating the performance of an investment that has been held for several years, what Time Value of Harris Stock $11 Annual Rate of Return Three-Year Rate of Return Value of Pinwheel Stock $18 Annual Rate of Return Annual Rate of Return

Managerial Accounting: The Cornerstone of Business Decision-Making
7th Edition
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Author:Maryanne M. Mowen, Don R. Hansen, Dan L. Heitger
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Chapter15: Financial Statement Analysis
Section: Chapter Questions
Problem 66P
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(Solving a comprehensive problem) Use the end-of-year stock price data in the popup window, E, to answer the following questions for the Harris and Pinwheel companies.
a. Compute the annual rates of return for each time period and for both firms.
b. Calculate both the arithmetic and the geometric mean rates of return for the entire three-year period using your annual rates of return from part a. (Note: you may assume that neither firm pays
any dividends.)
c. Compute a three-year rate of return spanning the entire period (i.e., using the ending price for period 1 and ending price for period 4).
d. Since the rate of return calculated in part c is a three-year rate of return, convert it to an annual rate of return by using the following equation:
W
S
J-(₁.
1+
e. How is the annual rate of return calculated in part d related to the geometric rate of return? When you are evaluating the performance of an investment that has been held for several years, what
Time
1
X
2
3
4
Time
1
3
2
3
4
#
80
13
Value of
Harris Stock
$11
6
10
15
E
Enter the annual rate of return for each year for Pinwheel in the table below. (Round to two decimal places.)
Annual Rate
Value of
Harris Stock
Value of
Pinwheel Stock
of Return
D
C
$
$11
6
4
10
15
DOO
888
F4
-45,45%
66.67%
50.00%
b. The arithmetic average rate of retum earned by investing in Harris stock over this period is%. (Round to two decimal places.)
R
Annual Rate
of Return
F
-45.45 %
66.67%
50.00 %
%
5
F5
T
V.
G
1+
A
6
Value of
Pinwheel Stock
B
Three-Year
Rate of Return.
$18
F6
35
Y
31
26
$18
35
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of Return
N
Annual Rate
of Return
Annual Rate
of Return
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Transcribed Image Text:D (Solving a comprehensive problem) Use the end-of-year stock price data in the popup window, E, to answer the following questions for the Harris and Pinwheel companies. a. Compute the annual rates of return for each time period and for both firms. b. Calculate both the arithmetic and the geometric mean rates of return for the entire three-year period using your annual rates of return from part a. (Note: you may assume that neither firm pays any dividends.) c. Compute a three-year rate of return spanning the entire period (i.e., using the ending price for period 1 and ending price for period 4). d. Since the rate of return calculated in part c is a three-year rate of return, convert it to an annual rate of return by using the following equation: W S J-(₁. 1+ e. How is the annual rate of return calculated in part d related to the geometric rate of return? When you are evaluating the performance of an investment that has been held for several years, what Time 1 X 2 3 4 Time 1 3 2 3 4 # 80 13 Value of Harris Stock $11 6 10 15 E Enter the annual rate of return for each year for Pinwheel in the table below. (Round to two decimal places.) Annual Rate Value of Harris Stock Value of Pinwheel Stock of Return D C $ $11 6 4 10 15 DOO 888 F4 -45,45% 66.67% 50.00% b. The arithmetic average rate of retum earned by investing in Harris stock over this period is%. (Round to two decimal places.) R Annual Rate of Return F -45.45 % 66.67% 50.00 % % 5 F5 T V. G 1+ A 6 Value of Pinwheel Stock B Three-Year Rate of Return. $18 F6 35 Y 31 26 $18 35 MacBook Air 31 26 & 7 H 44 F7 U Annual Rate of Return N Annual Rate of Return Annual Rate of Return * Q 8 J % % % DIL FB - ( 9 M K DD MOSISO 1 O O V L Flo P V command : ; { 1 + = [ Next 19 112 11 I option
b. The arithmetic average rate of return earned by investing in Harris stock over this period is %. (Round to two decimal places.)
The arithmetic average rate of return earned by investing in Pinwheel stock over this period is%. (Round to two decimal places.)
The geometric average rate of return earned by investing in Harris stock over this period is %. (Round to two decimal places.)
The geometric average rate of return earned by investing in Pinwheel stock over this period is %. (Round to two decimal places.)
c. The three-year rate of return spanning the entire period for Harris is %. (Round to two decimal places.)
The three-year rate of return spanning the entire period for Pinwheel is %. (Round to two decimal places)
d. The annual rate of retum converted from the three-year rate in part e for Harris is
The annual rate of retum converted from the three-year rate in part e for Pinwheel is
%. (Round to two decimal places)
%. (Round to two decimal places)
e. How is the annual rate of return calculated in part d related to the geometric rate of return? (Select the best choice below)
OA. The annual rate of return calculated in part d is nothing but the geometric average rate of return calculated in a different way
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Transcribed Image Text:b. The arithmetic average rate of return earned by investing in Harris stock over this period is %. (Round to two decimal places.) The arithmetic average rate of return earned by investing in Pinwheel stock over this period is%. (Round to two decimal places.) The geometric average rate of return earned by investing in Harris stock over this period is %. (Round to two decimal places.) The geometric average rate of return earned by investing in Pinwheel stock over this period is %. (Round to two decimal places.) c. The three-year rate of return spanning the entire period for Harris is %. (Round to two decimal places.) The three-year rate of return spanning the entire period for Pinwheel is %. (Round to two decimal places) d. The annual rate of retum converted from the three-year rate in part e for Harris is The annual rate of retum converted from the three-year rate in part e for Pinwheel is %. (Round to two decimal places) %. (Round to two decimal places) e. How is the annual rate of return calculated in part d related to the geometric rate of return? (Select the best choice below) OA. The annual rate of return calculated in part d is nothing but the geometric average rate of return calculated in a different way W 5 X nd # 3 30 73 E D C $ A+ DOD DOO F4 R 20 F % 5 F5 T G 6 MacBook Air V. B 76 Y & M 7 H 44 F7 U N * 8 J PUI FS 1 1 9 K M DD 19 MOSISO O ) C O < L H P V command m ; + { = [ I Next 1 ? option
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