Your company has an opportunity to invest in a project that is expected to result in after-tax cash flows of $7,000 the first year, $9,000 the second year, $12,000 the third year, -$8,000 the fourth year, $19,000 the fifth year, $25,000 the sixth year, $28,000 the seventh year, and -$6,000 the eighth year. The project would cost the firm $47,300. If the firm's cost of capital is 18%, what is the modified internal rate of return

The modified internal rate of return is 15.67%.

Explanation:

Note: See the attached excel file for the calculation of the total present value of the after-tax cash flows.

From the attached excel file, we have:

Total present value of the after-tax cash flows = $40,332.66

The modified internal rate of return (MIRR) can be calculated using the following formula:

MIRR = (PV / Outlay)^(1/n) * (1 + r) - 1……………….. (2)

Where;

PV = Total present value of the after-tax cash flows = $40,332.66

Outlay = Absolute value of cost of the project = $47,300

r = cost of capital = 18%, or 0.18

n = number of years = 8

Substitute the values into equation (1) to have:

MIRR = ($40,332.66 / 47,300)^(1/8) * (1 + 0.18) - 1 =  0.1567, or 15.67%

Therefore, the modified internal rate of return is 15.67%.

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