Question
A mining company has already located an economically viable copper deposit and is re-assessing the after-tax cash flows and economics as they enter development. The
A mining company has already located an economically viable copper deposit and is re-assessing the after-tax cash flows and economics as they enter development. The project involves the costs and production characteristics summarized in the table below. Calculate the after-tax cash flow (ATCF) for this centure. Assume a 6-month deduction for all amortizable costs begins in the year such costs are incurred. Assume all equipment and infrastructure costs will be depreciated based on the MACRS 7-year schedule assuming the half-year convention. Start all depreciation at the end of year 1 when all assets are assumed to be in a condition or state of readiness and available for service. Assume a 3.0% royalty (tax) on the gross revenue for the mine each year. To simplify this analysis, write off all remaining book values against the assumed sale value of $2 billion at the end of year 4 and assume any gain will be taxes as ordinary income. Other income exists against which to use all deductions in teh year incurred. Assume a 35% Federal income tax rate and a 5.0% state income tax that is deductible for computing Federal taxable income. This project is in the United States and the investor is seeking a 15% after-tax minimum rate of return.
Note: Annual revenue is calculated on the net pounds of refined copper each year which is based on (annual tonnage) x (pounds per tonne) x (average grade) x (solvent extraction recovery rate). "M" represents millions and tonnes are metric measures with equvalent pounds per tonne summarized below.
Variation on Auxilary Problem 8-7A, M=1,000,000, t=Metric Tonne
Year | 0 | 1 | 2 | 3 | 4 |
Production | |||||
Tonnes of Ore in M | 10.00 | 17.00 | 17.00 | 17.00 | |
Reserves @ Beginning | |||||
of Year in M | 200.00 | 190.00 | 173.00 | 156.00 | 139.00 |
Pounds Per Tonne | 2,204.62 | 2,204.62 | 2,204.62 | 2,204.62 | |
Average Grade | 0.015 | 0.015 | 0.015 | 0.015 | |
Solvent Extraction | |||||
Recovery | 0.990 | 0.990 | 0.990 | 0.990 | |
Cu Price @ Per Pound | $2.00 | $2.00 | $2.00 | $2.00 | |
Operating Costs. | |||||
$ per Tonne of Ore | $16.00 | $16.00 | $16.00 | $16.00 | |
Project Sale Value in M$ | $2,000.00 | ||||
Capital Investment in M$ | |||||
Mine Acquisition | 50 | ||||
Mine Development | 250 | ||||
Mine Equipment | 900 | 400 | |||
Infrastructure | 25 | 40 | |||
Working Capital | 20 | 30 |
Calculate the after-tax cash flows (ATCF's) for the project and corresponding ROR and NPV.
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