1. Zoe wants to have $6 million in real dollars in her saving account when she retires 20 years later. The nominal interest rate is 5% and the inflation rate is 3.5%. Zoe decides to deposit a fixed amount in real dollars at the end of each year before she retires. ( 36 points) a. How much, in real dollars, should Zoe deposit each year to achieve her goal? (13 points) b. How much will be the nominal amount of Zoe last deposit? (10 points) c. Suppose 20 years have passed and Zoe has now retired with $6 million in real dollars in her savings account. The nominal interest rate has changed to 4.5% compounded monthly. How much, in nominal term, can Zoe withdraw per month for 30 years? ( 13 points)