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You have been presented with 4 investment opportunities. You will receive an income on each investment for the next 8 years.
Step 2: Alternative Capital investment Net annual income PW or IRR or your preffered apprach The winner is.. Step 3: Alternat
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Answer #1

We will do an incremental PW analysis. The base alternative is one with the lowest investment so that is alternative A. (Note: Usually, we start by comparing the lowest investment alternative with the do-nothing alternative but here the PW of alternative A is positive, so do-nothing alternative is rejected.)

Rule: If NPV of incremental cash flows is positive, choose the higher investment alternative.

If NPV of incremental cash flows is negative, choose the lower investment alternative.

Step 1: We begin by comparing A with B.

Formula A B Formula Incremental cash flows (ICF)
Capital investment (CI) 12000 14400 CI(B)-CI(A) 2400
Net annual income (NAI) 2500 3050 NAI(B)-NAI(A) 550
(P/A, MARR, n) - CI where A = NAI PW 419.10 751.30 PW(B)-PW(A) 332.20

Decision: Since PW is positive, B is selected.

Step 2: Compare B with C.

Formula B C Formula Incremental cash flows (ICF)
Capital investment (CI) 14400 16250 CI(C)-CI(B) 1850
Net annual income (NAI) 3050 3620 NAI(C)-NAI(B) 570
(P/A, MARR, n) - CI where A = NAI PW 751.30 1732.86 PW(C)-PW(B) 981.55

Decision: Since PW is positive, C is selected.

Step 3: Compare C with D.

Formula C D Formula Incremental cash flows (ICF)
Capital investment (CI) 16250 20000 CI(C)-CI(B) 3750
Net annual income (NAI) 3620 4400 NAI(C)-NAI(B) 780
(P/A, MARR, n) - CI where A = NAI PW 1732.86 1857.61 PW(D)-PW(C) 124.76

Decision: Since PW is positive, D is selected.

Alternative D is the winner.

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