The Karns Oil Company is deciding whether to drill for oil on a tract of land that the company owns. The company estimates the project would cost $4 million today. Karns estimates that, once drilled, the oil will generate positive net cash flows of $2 million a year at the end of each of the next 4 years. Although the company is fairly confident about its cash flow forecast, in 2 years it will have more information about the local geology and about the price of oil. Karns estimates that if it waits 2 years then the project would cost $5 million. Moreover, if it waits 2 years, then there is a 90% chance that the net cash flows would be $2.1 million a year for 4 years and a 10% chance that they would be $1.1 million a year for 4 years. Assume all cash flows are discounted at 10%. Use the Black-Scholes model to estimate the value of the option. Assume the variance of the project's rate of return is 5.12% and that the risk-free rate is 7%.