Answer:
Project A:
NPV:$21,099 ; Profitability index: 10.76% IRR: 7.94%
Project A:
NPV: $44,285; Profitability index: 15.22%; IRR = 9.00%
Explanation:
* Project A:
We have the net cash flow each year as followed:
Y0 = -196,000; Y1-Y3: $44,500; Y4: -$4,600; Y5-Y7 = 44,500
=> Net present value = -196,000 + [ (44,500/5%) x ( 1 - 1.05^-3) ] +(-4,600/1.05^4) + [ (44,500/5%) x ( 1 - 1.05^-3) / 1.05^4 ] = $21,099
Profitability index = 21,099/ 196,000 = 10.76%
IRR calculation:
-196,000 + [ (44,500/IRR) x ( 1 - (1+IRR)^-3) ] +(-4,600/(1+IRR)^4) + [ (44,500/IRR%) x ( 1 - (1+IRR)^-3) / (1+IRR)^4 ] = 0 <=> IRR = 7.94%
* Project B:
We have the net cash flow each year as followed:
Y0 = -291,000; Y1-Y6: $56,900; Y7 = $65,400.
Carry out the calculation similar in Project A, we have
=> NPV = $44,285; Profitability index = 15.22%; IRR = 9.00%