Suppose I offer you a choice among several investments. No matter which one you choose, you will invest the same amount of money, \$200,000. Here are your investment choices and the expected results for the year. 1 – Investment #1 will give you a guaranteed profit of \$100,000 for the year. So you end the year with \$300,000 (your \$200,000 investment + the \$100,000 profit).2 – Investment #2 gives you a 50% chance to make a profit of \$200,000 and a 50% chance of zero profit for the year. But you will not lose any money. So you have a 50% chance to end the year with \$400,000 but a 50% chance you will end the year with the same \$200,000 you started with.3 – Investment #3 provides a 50% chance to make a \$400,000 profit for the year and a 50% chance of losing \$200,000 for the year. So at the end of the year, there is a 50% chance you will wind up with \$600,000 (your \$200,000 investment + \$400,000 profit) but a 50% chance you will have nothing, having lost your \$200,000 investment. Which investment would you choose? Why? What does your choice say about your risk tolerance? If you chose option 1 or 2, what amount could would it choose option 3, \$800,000, a million?