In: Finance
Ingram Electric Products is considering a project that has the
following cash flow and WACC data. What is the project's MIRR? Note
that a project's projected MIRR can be less than the WACC (and even
negative), in which case it will be rejected.
| WACC: | 7.00% | |||
| Year | 0 | 1 | 2 | 3 |
| Cash flows | -$800 | $350 | $350 | $350 |
|
|||
|
|||
|
|||
|
|||
|
| Project | ||||
| Combination approach | ||||
| All negative cash flows are discounted back to the present and all positive cash flows are compounded out to the end of the project’s life | ||||
| Thus year 3 modified cash flow=(400.72)+(374.5)+(350) | ||||
| =1125.22 | ||||
| Thus year 0 modified cash flow=-800 | ||||
| =-800 | ||||
| Discount rate | 0.07 | |||
| Year | 0 | 1 | 2 | 3 |
| Cash flow stream | -800 | 350 | 350 | 350 |
| Discount factor | 1 | 1.07 | 1.1449 | 1.225043 |
| Compound factor | 1 | 1.1449 | 1.07 | 1 |
| Discounted cash flows | -800 | 0 | 0 | 0 |
| Compounded cash flows | -0.00125 | 400.72 | 374.5 | 350 |
| Modified cash flow | -800 | 0 | 0 | 1125.22 |
| Discounting factor (using MIRR) | 1 | 1.120424 | 1.25535 | 1.406525 |
| Discounted cash flows | -800 | 0 | 0 | 800 |
| NPV = Sum of discounted cash flows | ||||
| NPV= | 7.71552E-07 | |||
| MIRR is the rate at which NPV = 0 | ||||
| MIRR= | 12.04% | |||
| Where | ||||
| Discounting factor = | (1 + discount rate)^(Corresponding period in years) | |||
| Discounted Cashflow= | Cash flow stream/discounting factor | |||
| Compounding factor = | (1 + reinvestment rate)^(time of last CF-Corresponding period in years) | |||