Consider the following mutually exclusive alternatives:
Alternative A |
Alternative B |
|
Capital investment Net annual receipts |
$702,000 $123,550 |
$1,656,000 $276,200 |
Both alternatives have a useful life of 12 years and no market value at that time. The MARR is 12 % per year. Determine the annual worth (AW) of the most profitable course of action. (Enter your answer as a number without the dollar sign.)
We need to find the Present worth of Alternative A
PW(A)=PW of Net Annual receipts-Capital Investment
=123550(P/A,12%,12)-702000
=123550*6.194-702000
=63268.7
PW(B)=PW of Net Annual receipts-Capital Investment
=276200(P/A,12%,12)-1656000
=276200*6.194-1656000
=54782.8
AW(A)=PW(A)/(P/A,12%,12)=63268.7/6.194=10214.514
AW(B)=PW(B)/(P/A,12%,12)=54782.8/6.194=8844.49
AW (Alternative A)> AW (Alternative B)
Alternative A to be chosen over Alternative B
Answer is
Annual Worth of Alternative A=10214.514
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