Question

In: Finance

Find IRR for following cash flows:                                     0_____1_

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.

Solutions

Expert Solution

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

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