You are planning to retire in 40 years (t = 40). After retirement, you need annual withdrawals of $900 from your retirement account for the next 20 years. The first withdrawal will occur one year after retirement (t = 41). Your retirement account offers a 5% APR. A. (1 point) How much a lump-sum deposit should you make today (t = 0) to achieve your retirement goal? B. (1 point) Instead of making a lump-sum deposit, you will make annual deposits starting next year (t = 1) until retirement (t = 40). How much should you save each year to achieve your retirement goal? C. (1 point) Suppose that you will work part-time for five years after retirement. As a result, your retirement plan of making 20 annual withdrawals can be deferred by five years. That is, the first withdrawal will be made six years after retirement (t = 46), instead of one year after retirement (t = 41). No additional deposits will be made into your retirement account during the part-time years. How much should you save each year to achieve your retirement goal? Note: Show your calculation steps briefly and clearly.