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The following cash flows has an interest rate of 10% per year, compounded semian

ID: 1178220 • Letter: T

Question

The following cash flows has an interest rate of   10% per year, compounded semiannually.

Alternative   X

Alternative   Y

First cost, $

%u2013200,000

%u2013800,000

Annual cost, $/year

%u201360,000

%u201310,000

Salvage value, $

20,000

150,000

Life, years

5

%u221E

The annual worth of perpetual service for alternative X is closest to:

  

     

Alternative   X

     

Alternative   Y

     

First cost, $

     

%u2013200,000

     

%u2013800,000

     

Annual cost, $/year

     

%u201360,000

     

%u201310,000

     

Salvage value, $

     

20,000

     

150,000

     

Life, years

     

5

     

%u221E

  

Explanation / Answer

i/year = (1+0.10/2)^2%u2013 1 = 10.25 %


The above is obtained by %u2013200,000(A/P,10.25%,5)%u201360,000 + 20,000(A/F,10.25%,5)

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