Question content area top Part 1 ​(Solving a comprehensive​ problem) Use the​ end-of-year stock price data in the popup​ window, LOADING... ​, 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:   1+ Three-Year Rate of Return=1+ Annual Rate of Return3   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 type of average rate of return​ (arithmetic or​ geometric) should you​ use? Why?       Question content area bottom Part 1 a. Enter the annual rate of return for each year for Harris in the table below.  ​(Round to two decimal​ places.)   Time Value of Harris Stock Annual Rate of Return Value of Pinwheel Stock Annual Rate of Return 1 ​$8       ​$21       2 7   enter your response here ​% 32       3    14   enter your response here ​% 31       4 17   enter your response here ​% 23

Century 21 Accounting Multicolumn Journal
11th Edition
ISBN:9781337679503
Author:Gilbertson
Publisher:Gilbertson
Chapter17: Financial Statement Analysis
Section: Chapter Questions
Problem 4AP
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Question content area top

Part 1
​(Solving a comprehensive​ problem) Use the​ end-of-year stock price data in the popup​ window,
LOADING...
​,
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:
 
1+
Three-Year
Rate of Return
=1+
Annual Rate
of Return
3
 
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 type of average rate of return​ (arithmetic or​ geometric) should you​ use? Why?
 
 
 

Question content area bottom

Part 1
a. Enter the annual rate of return for each year for Harris in the table below.  ​(Round to two decimal​ places.)
 
Time
Value of
Harris Stock
Annual Rate
of Return
Value of
Pinwheel Stock
Annual Rate
of Return
1
​$8
 
 
 
​$21
 
 
 
2
7
 
enter your response here
​%
32
 
 
 
3
   14
 
enter your response here
​%
31
 
 
 
4
17
 
enter your response here
​%
23
 
 
 
 
 
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