question archive A stock has had the following year-end prices and dividends:   Year       Price   Dividend 1   $ 43

A stock has had the following year-end prices and dividends:   Year       Price   Dividend 1   $ 43

Subject:FinancePrice:2.85 Bought3

A stock has had the following year-end prices and dividends:

 

Year

 

    Price

 

Dividend

1

 

$

43.27

 

 

-

 

2

 

 

48.25

 

$

0.45

 

3

 

 

57.17

 

 

0.48

 

4

 

 

45.25

 

 

0.60

 

5

 

 

52.17

 

 

0.65

 

6

 

 

61.25

 

 

0.73

 

 

What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations and round your final answers to 2 decimal places. (e.g., 32.16))

 

 

 

  Arithmetic return

?? %

  Geometric return

?? %

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Please find the answers as follows:

 

Year Price Dividend Annual Return    
1 43.27 0 0      
2 48.25 0.45 12.55%      
3 57.17 0.48 19.48%      
4 45.25 0.6 -19.80%      
5 52.17 0.65 16.73%      
6 61.25 0.73 18.80%      
             
             
Arithmetic Return = (12.55 + 19.48 -19.8 + 16.73 + 18.8)/5 = 9.552% or 9.6%

Geomatric Return = [(1+.1255)*(1+.1948)*(1-.1980)*(1+.1673)*(1+.1880)]^1/5 - 1 = 8.38%