Suppose an oil company is thinking of buying some land for $10,000,000. There is a 60% chance of economic growth and a 40% chance of recession. The probability of discovering oil is 45% when there is economic growth and 35% when there is a recession. If there is economic growth and the oil company discovers oil, the value of the land will triple. If they do not discover oil, the value of the land will decrease by 10%. If there is a recession and the company discovers oil, the value of the land will increase by 50%. If they do not discover oil, the land will decrease in value by 75%. Required:
What is the expected value of the investment?