In: Finance
Project A costs $3,000, and its cash flows are the same in Years 1 through 10. Its IRR is 15%, and its WACC is 10%. What is the project's MIRR? Do not round intermediate calculations. Round your answer to two decimal places.
MIRR is 12.25%
| Step-1:Calculation of annual cash flows for next 10 years | ||||||
| At IRR, present value of cash inflows is equal to Cost of project. | ||||||
| So, Annual cash inflow | = | Cost of Project | / | Present value of annuity of 1 | ||
| = | $ 3,000.00 | / | 5.018769 | |||
| = | $ 597.76 | |||||
| Working: | ||||||
| Present value of annuity of 1 | = | (1-(1+i)^-n)/i | Where, | |||
| = | (1-(1+0.15)^-10)/0.15 | i | = | 15% | ||
| = | 5.01876863 | n | = | 10 | ||
| Step-2:Calculation of MIRR | ||||||
| Year | Cash flow | |||||
| 0 | $ -3,000.00 | |||||
| 1 | $ 597.76 | |||||
| 2 | $ 597.76 | |||||
| 3 | $ 597.76 | |||||
| 4 | $ 597.76 | |||||
| 5 | $ 597.76 | |||||
| 6 | $ 597.76 | |||||
| 7 | $ 597.76 | |||||
| 8 | $ 597.76 | |||||
| 9 | $ 597.76 | |||||
| 10 | $ 597.76 | |||||
| Finance rate | 10% | |||||
| Reinvestment rate | 10% | |||||
| MIRR | =mirr(C18:C28,finance rate, reinvestment rate) | |||||
| = 12.25% | ||||||