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West Street Automotive is considering adding state safety inspections to its service offerings. The equipment necessary to perform these inspections will cost $551,000 and will generate cash flows of $193,000 over each of the next five years. If the cost of capital is 17 percent, what is the MIRR on this project

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Answer:

19.7%

Step-by-step explanation:

The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.

MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n) - 1

Future value = payment x[ (1 + interest rate)^n - 1 ] / interest rate

$193,000 x (1.17^5) - 1 / 0.17 = 1353779.24

1353779.24 / $551,000) ^0.2 - 1 = 19.7%

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