1. Suppose you accumulated $500,000, perhaps from many years of saving. You put the money in a savings plan earning 6% compounded monthly. If you want to live off the interest without disturbing the $500,000 balance, what amount can you withdraw at the beginning of each month?
2. Suppose you accumulated $500,000, perhaps from many years of saving. You put the money in a savings plan earning 6% compounded monthly. If you want to withdraw $4,000 at the beginning of each month, how long before the savings plan is exhausted?
3. Suppose you accumulated $500,000, perhaps from many years of saving. You put the money in a savings plan earning 6% compounded monthly. If you want the plan to last 40 years, how much can you withdraw at the beginning of each month?