Jet Black is an international conglomerate with a petroleum division and is currently competing in an auction to win the right to drill for crude oil on a large piece of land in one year. The current market price of crude oil is $103 per barrel, and the land is believed to contain 496,000 barrels of oil. If found, the oil would cost $112 million to extract. Treasury bills that mature in one year yield a continuously compounded interest rate of 5 percent, and the standard deviation of the returns on the price of crude oil is 55 percent.
Use the Black–Scholes model to determine the maximum amount that the company should be willing to pay for the lease. (Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Maximum bid $________