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David is planning for retirement in 20 years. Currently, he has $300,000 in a savings account and $600,000 in a mutual fund. Moreover, he plans to add to his savings by depositing $3,000 per month in his savings account at the beginning of each month for the next twenty years until retirement. The savings account will return 5% APR compounded monthly and the investment in the mutual fund will return 8% compounded annually.
Problem (a) How much money will David has at retirement 20 years later?
Problem (b) David expects to live for 20 years after he retires and at retirement he will deposit all of his savings in a bank account paying 2% APR compounded monthly. If he wants to withdraw an equal sum of money at the end of each month from the bank account for financing his daily expenses after retirement, how much can he withdraw each time?
Problem (c) Distinguish the difference between effective annual rate (EAR) and annual percentage rate (APR).
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