In: Finance
Simms Corp. is considering a project that has the following cash
flow data. What is the project's IRR? Note that a project's
projected IRR can be less than the WACC or negative, in both cases
it will be rejected.
Year |
0 |
1 |
2 |
3 |
Cash flows |
-$1,025 |
$425 |
$425 |
$425 |
CASH FLOW FROM THE PROJECT | ||||||||
Years | Cash Flows | |||||||
0 | -$1,025 | |||||||
1 | $425 | |||||||
2 | $425 | |||||||
3 | $425 | |||||||
Total | $250 | |||||||
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 @ 11% discounting rate | ||||||||
Years | Cash Flows | PVF @11% | Present Value | |||||
0 | -$1,025 | 1 | -$1,025.00 | |||||
1 | $425 | 0.9009 | $382.88 | |||||
2 | $425 | 0.8116 | $344.94 | |||||
3 | $425 | 0.7312 | $310.76 | |||||
Net Present Value = | $13.58 | |||||||
With PVF of 11% we are getting positive = | $13.58 | |||||||
Secondly we calculate randomly present value @ 12 % discounting rate | ||||||||
Years | Cash Flows | PVF @ 12% | Present Value | |||||
0 | -$1,025 | 1 | -$1,025.00 | |||||
1 | $425 | 0.8929 | $379.46 | |||||
2 | $425 | 0.7972 | $338.81 | |||||
3 | $425 | 0.7118 | $302.51 | |||||
Net Present Value = | -$4.22 | |||||||
With PVF of 12 % we are getting negative = | -4.22 | |||||||
In the given case the pv with 11% is coming to postive means the present value is more | ||||||||
then 11 % but with 12 % Present value cash flow become negative so the prese-nt value | ||||||||
is between 11% and 12 % | ||||||||
So the differecne in both % net present value is = | $13.58 | - | -$4.22 | |||||
Total is become = | $17.80 | |||||||
So , the difference % = | $13.58 | "/"By | $17.80 | |||||
So , the difference % = | 0.76 | |||||||
So, the IRR = | 11.76% | |||||||
Answer 1 = IRR = | 11.76% | |||||||