Question

In: Finance

Use the​ end-of-year stock price data in the popup​ window, (data below) to answer the following...

Use the​ end-of-year stock price data in the popup​ window, (data below) 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

to third power

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?

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

​$9

​$22

2

6

nothing

​%

34

3

   11

nothing

​%

31

4

17

nothing

​%

25

DATA TABLE

Time

Harris

Pinwheel

1

​$9

​$22

2

6

  34

3

11

  31

4

17

  25

Solutions

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