Assume that a coal mine is found to have 50,000 tons of reserves in place. Its production history establishes that annual production is 10,000 tons. This would indicate an economic life of five years (50,000 ÷ 10,000 = 5). Assume an economic royalty rate of $2.00 per ton, allowable expenses of 10% of gross income and a discount rate of 16%. The following calculation demonstrates how to calculate the present worth of the reserve:
10,000 | -- annual production in tons |
x 2.00 | -- economic royalty in dollars |
$20,000 | -- gross annual income |
-2,000 | -- allowable expenses in dollars |
$18,000 | -- net operating income |
x 3.274294 | -- the present value of the right to receive $1 per period |
for five years at a 16% discount rate | |
$58,937 | -- present net worth of reserve |
The above example assumes a level annuity, which would be appropriate for a coal mine where the coal is being mined at a constant rate.
Tenn. Comp. R. & Regs. 0600-11-.07
Authority: T.C.A. §§ 67-1-305, 67-5-502(d) and 67-5-801.