Investment Timing Option: Option Analysis The Karns Oil Company is deciding whether to drill for oil dn a tract of land that the company owns. The company estimates the project would cost $8 million today. Karns estimates that once drilled, the all will generate positive net cash flows of $4 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 walts 2 years then the project would cost $9 million. Moreover, if it waits 2 years, then there is a 90% chance that the net cash flows would be $4.2 million a year for 4 years and a 10% chance that they would be $2.2 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 0.111 and that the risk free rate is 6%. Do not round intermediate calculations. Enter your answer in minions. For example, an answer of $1.234 milion should be entered as 1.234, not 1,234,000. Round your answer to three decimal places