Question

The Utah Mining Corporation is set to open a gold mine near Provo, Utah. According to the treasurer, Monty Goldstein, "This is a golden opportunity." The mine will cost $3,200,000 to open and will have an economic life of 11 years. It will generate a cash inflow of $425,000 at the end of the first year, and the cash inflows are projected to grow at 8 percent per year for the next 10 years. After 11 years, the mine will be abandoned. Abandonment costs will be $480,000 at the end of Year 11.

What is the IRR for the gold mine? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).)

Answer 1

IRR = 13.05%

Step-by-step explanation:

using an excel spreadsheet, the cash flows are:

year 0 = -$3,200,000

year 1 = $425,000

year 2 = $425,000 x 1.08 = $459,000

year 3 = $459,000 x 1.08 = $495,720

year 4 = $535,378

year 5 = $578,208

year 6 = $624,464

year 7 = $674,422

year 8 = $728,375

year 9 = $786,645

year 10 = $849,577

year 11 = ($849,577 x 1.08) - $480,000 = $917,543 - $480,000 = $437,543

IRR = 13.05%

The internal rate of return (IRR) is the discount rate at which a project's NPV (net present value) would equal $0.