Answer-
We will evaluate all the four alternatives with the given rate of MARR = 8 %
Alternative 1
$ 1200 at the end of year 2
NPV = $ 1200 / 1.082 ( Discounting $ 1200 for present
value $ 1200 / ( 1 + MARR)2 )
NPV = $ 1028.81
Alternative 2
Annual benefit of $ 300 for 4 years
NPV = $ 300 / 1.08 + 300 / 1.082 + $ 300 /
1.083 + $ 300 / 1.084
NPV = $ 277.77 + $ 257.2 + $ 238.15 + $ 220.51
NPV = $ 993.63
Alternative 3
$ 1300 at the end of year 4
NPV = $ 1300 / 1.084
NPV = $ 955.54
Alternative 4
An annual benefit of $ 390 for three years
NPV = $ 390 / 1.08 + $ 390 / 1.082 + $ 390 /
1.083
NPV = $ 361.11 + $ 334.36 + $ 309.59
NPV = $ 1003.06
Since the first alternative has the highest NPV therefore it should be selected ie. $ 1200 at the end of year 2
4. You have a fixed budget of $1000 to invest with and an MARR of 8%....
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