question archive An investment pas $2,000 every second year for 20 years (a total of 10 payments)

An investment pas $2,000 every second year for 20 years (a total of 10 payments)

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An investment pas $2,000 every second year for 20 years (a total of 10 payments). Your opportunity cost is 8% compounded semi annually. The present value of this investment is

$9,322.00.

$9.666.46.

$13,323.85.

$19.636.29.

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Answer:

rate positively ..

EAR = (1+8%/2)^2-1    
  8.1600%      
         
         
         
Year Cash flow PVIF @ 8.16% Present value
2 2000 0.854804191 $ 1,709.61  
4 2000 0.730690205 $ 1,461.38  
6 2000 0.62459705 $ 1,249.19  
8 2000 0.533908176 $ 1,067.82  
10 2000 0.456386946 $    912.77  
12 2000 0.390121474 $    780.24  
14 2000 0.333477471 $    666.95  
16 2000 0.28505794 $    570.12  
18 2000 0.243668722 $    487.34  
20 2000 0.208289045 $    416.58  
Present value   $ 9,322.00  
         
Ans =     $ 9,322.00  
         
         

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