1. A mining company is evaluating when to open a gold mine. The mine has 200,000 ounces of gold left that can be mined and mining operations will produce 10,000 ounces per year. The price of gold from the mine will be guaranteed for the remaining life of the mine through the gold futures contracts. If the mine is opened today, each ounce of gold will generate an aftertax cash flow (= total or net cash flow) of $1,400 per ounce. If the company waits one year, there is a 65 percent probability that the contract price will generate an after-tax cash flow of $1,650 per ounce and a 35 percent probability that the after-tax cash flow will be $1,350 per ounce. The required return on the gold mine is 16 percent and it will cost $40,000,000 to open the mine regardless of whether the mine is open today or in one year. Compute the value of the option to wait today