After hearing a knock at your front door, you are surprised to see the Prize Patrol from a large, well-known magazine subscription company. It has arrived with the good news that you are the big winner, having won \(\$ 20\) million. Later, after consulting with a lawyer, you discover that you have three options: (1) you can receive \(\$ 1\) million per year for the next 20 years (starting one year from now), (2) you can have \(\$ 8\) million today, or (3) you can have \(\$ 2\) million today and receive \(\$ 700,000\) for each of the next 20 years. Your investment adviser tells you that it is reasonable to expect to earn 10 percent compound interest on investments. Which option do you prefer? What factors influenced your decision?