Answer:
13.31%
Explanation:
some information is missing:
Year Cash flows
0 −$1,100
1 $450
2 $470
3 $490
the easiest way to calculate the IRR is by using a financial calculator, IRR = 13.31%
but if we don't have one at hand, the IRR is the discount rate at which a project's NPV = 0
1,100 = 450/(1 + r) + 470/(1 + r)² + 490/(1 + r)³
to simplify the formula we must use trial and error:
since we already know the real IRR, I will start with a close number like 10%
1,100 = 450/(1 + 0.1) + 470/(1 + 0.1)² + 490/(1 + 0.1)³
1,100 = 409.09 + 388.43 + 368.14
1,100 ≠ 1,165.66
since the NPV is still positive, we must increase the discount rate. following the example we can use 12%
1,100 = 450/(1 + 0.12) + 470/(1 + 0.12)² + 490/(1 + 0.12)³
1,100 = 401.79 + 374.68 + 348.77
1,100 ≠ 1,125.24
we must increase the discount rate even more to 13%
1,100 = 450/(1 + 0.13) + 470/(1 + 0.13)² + 490/(1 + 0.13)³
1,100 = 398.23 + 368.08 + 339.59
1,100 ≠ 1,105.90
we keep increasing the discount rate to 14%
1,100 = 450/(1 + 0.14) + 470/(1 + 0.14)² + 490/(1 + 0.14)³
1,100 = 394.74 + 361.65 + 330.74
1,100 ≠ 1,087.13
since now the NPV is negative, the discount rate must be between 13-14%
we continue this way until we finally reach 13.31%
