(A) Yes both The NPV and IRR are always leads to same decision making whether it is calculated in isolation or two mutually exclusive. As we know NPV is the diffrence between the Present value of cash outflow and cash inflow if the cash inflow is greater than cash outflow then it is good and the PV value is calculaled on the discount factor which we can say our required rate of return so it is not important f=phase that whether the project is mutually exclusive and isolation because if the project has NPV then both the projects are good to invest
similiarly IRR is to finad out the percentage of return on the basis of the amount paid and get in return so that the both PV of outflow and Inflow be same so this helps to find out the return percentage and then we can find that either it is beneficial to invest or not no matter depends the project are mutually exclusive or in isolation
NPV | |||||||
year | 1 | 2 | 3 | ||||
Earnings | 250000 | 250000 | 250000 | ||||
less:- Dep | 200000 | 200000 | 200000 | ||||
Earnings after dep | 50000 | 50000 | 50000 | ||||
less:- tax | 15000 | 15000 | 15000 | ||||
Earning after tax | 35000 | 35000 | 35000 | ||||
ADD :- Dep | 200000 | 200000 | 200000 | ||||
CFATBD | 235000 | 235000 | 235000 | ||||
PVF @ 10% | 0.909 | 0.826 | 0.751 | ||||
PV OF Cash inflow | 213636.36 | 194214.88 | 176558.98 | ||||
total | 584410.22 | ||||||
PV of salvage | 375657.40 | ||||||
total cash inflow | 960067.62 | ||||||
less :-cash outflow | 600000.00 | ||||||
360067.62 | |||||||
Less:- Cost of inventory | 276000 | (2lakh * 1.38) | |||||
NPV | 84067.62 | ||||||
IRR calculation | |||||||
Cash Inflow | PV@ 10% | PV @ 14% | |||||
year 1 | 213636.36 | 0.909 | 194214.88 | 0.877 | 187400.319 | ||
year 2 | 194214.876 | 0.826 | 160508.16 | 0.769 | 149442.041 | ||
year 3 | 176558.9782 | 0.751 | 132651.37 | 0.675 | 119172.281 | ||
year 3 | 500000 | 0.751 | 375657.40 | 0.675 | 337485.758 | ||
863031.81 | 793500.40 | ||||||
Cash outflow | |||||||
year 0 | 600000 | 1 | 600000 | 600000 | |||
year 0 | 200000 | 1 | 200000 | 200000 | |||
year 1 of intt on inventory cost | 20000 | 0.909 | 18181.82 | 18181.82 | |||
22000 | 0.826 | 18181.82 | 18181.82 | ||||
24200 | 0.751 | 18181.82 | 18181.82 | ||||
854545.4545 | 854545.455 | ||||||
8486.36 | -61045.06 | ||||||
now on and avg basis we find 10.14% | |||||||
Pay back period | |||||||
Cash outflow = 600000+66200 | |||||||
Cash inflow 250000 per year | |||||||
2.48 | |||||||
yes i should accept the project because it gives the positive NPV
means this project gives ur=s the required return i decide it on the basis of Payback period NPV and IRR
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