You are considering buying an oil field If you buy the field, you can extract the oil in one year There are 100 barrels of oil that can be extracted from the field; the cost of doing so is $4,000. You expect the price of oil in one year to be $50/barrel However, there are four equally likely prices of oil in one year: $20/barrel, $35/barrel, $40/barrel and $105/barrel If your discount rate is 15%, how much are you willing to pay for the field? Assume the price of oil never changes after one year.