NPV Project A WACC 0.0582 Project B Year 0 1 2 3 4 5 Year 0 1 2 3 Cash Flow -90000 10000 17000 34000 41000 38000 Cash Flow -10000 -2000 -2000 -2000 -30000 SUM 30 % Probability 2000 3000 7000 NPV -90000 9450.00945 15181.45536 28692.97933 8772.465247 28638.14018 735.0495728 600 900 2100 50% Probability 4000 6000 9000 2000 3000 4500 20% Probability 5000 7000 10000 1000 1400 2000 Sum of probable CF´s 3600 5300 8600 SUM NPV -10000 1512.001512 2946.988394 5569.813634 28.8035404 NPV(A)>NPV(B) … Project A better Payback Year 0 1 2 3 4 5 Year 0 1 2 3 DCF -90000 9450.00945 15181.45536 28692.97933 8772.465247 28638.14018 DCF -10000 1512.001512 2946.988394 5569.813634 CDCF -90000 -80549.99055 -65368.53519 -36675.55586 -27903.09061 735.0495728 CDCF -10000 -8487.998488 -5541.010094 28.8035404 0.025666805 0.005171365 " ==>Payback is 4 years and 10 days (0,025667*360=9,24005)" ==>Payback is 2 years and 2 days 9.240049965 1.861691472 PB(B)>PB(B) …Project B better (shorter time to get back invested sources) IRR Year 0 1 2 3 4 5 Year 0 1 2 3 r1= 0.06 r1= 0.059 r2= 0.063 SUM r2= 0.06 SUM NPV(r1) -90000 9433.962264 15129.93948 28547.05562 8713.030296 28395.81057 219.798232 NPV(r1) -10000 1510.859301 2942.537591 5557.200361 10.59725271 NPV(r2) -90000 9407.337723 15044.66052 28306.04048 8615.086197 27997.3724 -629.5026782 NPV(r2) -10000 1509.433962 2936.988252 5541.487268 -12.09051768 IRR 0.060776397 IRR 0.059467091 Proof: -90000 9427.057416 15107.79996 28484.41953 8687.549534 28292.04613 -1.127437646 this is approximation so we can take it as ≈ NPV=0 IRR(A)>IRR(B) …Project A better MIRR remaining years 4 3 2 1 0 remaining years 2 1 0 year 0 1 2 3 4 5 year 0 1 2 3 +CF 10000 17000 34000 41000 38000 SUM +CF 3600 5300 8600 SUM capitalization 12539.23463 20144.30058 38072.76616 43386.2 38000 152142.5014 capitalization 4031.234064 5608.46 8600 18239.69406 -CF -90000 -30000 -CF -10000 -2000 -2000 -2000 SUM discounting -90000 -23924.90522 113924.9052 discounting -10000 -1890.00189 -1786.053572 -1687.822313 15363.87778 MIRR= 0.059562002 MIRR= 0.05886 == > IRR>MIRR! again IRR>MIRR