In: Finance
Find IRR for following cash flows:
0_____1_____2_____3_____4
($100) $10 $10 $10 $110
a) use calculator, make sure that you know the procedure.
p/yr=____, N=____, PMT=_____, FV=_____, PV=_____, IRR=____% per period.
b) use spreadsheet, make sure that you know the procedure. Show spreadsheet printout by using Excel
c) use intuition: if initial cash flow is changed to (90) the IRR will be higher because _________________________________
Hint: Consider the impact of a higher discount rate on the PV of a given set of cash flows.
Years | Cash Flows | ||||||
0 | -$100 | ||||||
1 | $10 | ||||||
2 | $10 | ||||||
3 | $10 | ||||||
4 | $110 | ||||||
Total | $40 | ||||||
IRR : IRR Means with a particular Percentage rate , At that point the present value become the zero | |||||||
CALCULATION OF THE IRR OF THE PROJECT | |||||||
First we calculate randomly present value with @ 9% discounting rate | |||||||
Years | Cash Flows | PVF @9% | Present Value | ||||
0 | -$100 | 1 | -$100.00 | ||||
1 | $10 | 0.9174 | $9.17 | ||||
2 | $10 | 0.8417 | $8.42 | ||||
3 | $10 | 0.7722 | $7.72 | ||||
4 | $110 | 0.7084 | $77.93 | ||||
Net Present Value = | $3.24 | ||||||
With PVF of 9% we are getting positive = | $3.24 | ||||||
So now we will try to calulate with 10% | |||||||
Secondly we calculate randomly present value @ 10 % discounting rate | |||||||
Years | Cash Flows | PVF @ 10% | Present Value | ||||
0 | -$100 | 1 | -$100.00 | ||||
1 | $10 | 0.9091 | $9.09 | ||||
2 | $10 | 0.8264 | $8.26 | ||||
3 | $10 | 0.7513 | $7.51 | ||||
4 | $110 | 0.6830 | $75.13 | ||||
Net Present Value = | $0.00 | ||||||
With PVF of 10 % we are getting Zero it means the IRR is the 10% | |||||||
Answer = IRR = 10% | |||||||
Answer = C | |||||||
If the intial cash flow is changed to (90) it means there is cash will increase as below | |||||||
Years | Cash Flows | ||||||
0 | -$90 | ||||||
1 | $10 | ||||||
2 | $10 | ||||||
3 | $10 | ||||||
4 | $110 | ||||||
Total | $50 | ||||||
It mens the IT increase the IRR of the project and it is because there is | |||||||
more cash inflow from the project due to less outflow at initial of project | |||||||