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 |
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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) |