Question

You are thinking about investing in a mine that will produce $10,000 worth of ore in the first year. As the ore closest to the surface is removed it will become more difficult to extract the ore. Therefore, the value of the ore that you mine will decline at a rate of 7% per year forever. If the appropriate interest rate is 3%, then the value of this mining operation is closest to

Answer 1

$100,000

Step-by-step explanation:

Cash flow = $10,000

Interest rate = 3%

Growth = -7%

Value of this mining operation = Cash / (Rate - Growth)

Value of this mining operation = $10,000 / (3% -(-7%)

Value of this mining operation = $10,000 / 10%

Value of this mining operation = $10,000 / 0.10

Value of this mining operation = $100,000