1. You plan to make annual deposits of $15,000 into a retirement account that earns 3% APR. The deposits will start one year from today (t = 1) and continue until 30 years from today when you retire (t = 30). You want to make 20 annual withdrawals beginning from the next year of retirement (from t = 31 to t = 50). What is the amount of each annual withdrawal?

2. A couple will retire in 35 years. After retirement, they plan to spend $70,000 a year for the next 25 years. The first annual withdrawal will be made one year after retirement. They believe that they can earn 4.5% on their retirement savings.

1. If they make annual deposits into a savings plan, how much will they need to save each year? The first deposit will be made next year (t = 1), and the deposits will continue until the time of the retirement (t = 35).

2. How would the answer in Part A change if the couple also plans to donate $100,000 to a wildlife fund? The donation will be made five (5) years after retirement.