1. You win a $1,000,000 prize in a lottery. You are offered a choice of how to take the prize: a) you can take the cash now, b) you can take a lifetime income of $3000 per month that will last as long as you live, c) you can take $9000 per month for the next 10 years. Rank these options. Ignore taxes and any credit risk associated with the lottery runner. Describe how you came up with your answer.