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Required annuity payments. A father is now planning a savings program to put his daughter through college. She just celebrated her 13th birthday, she plans to enroll at the university in 5 years when she turns 18 years old, and she should graduate in 4 years. Currently, the annual cost (for everything food, clothing, tuition, books, transportation, and so forth) is $15,000, but these costs are expected to increase by 5% annually. The college requires that this amount be paid at the start of the school year. She now has $7,500 in a college savings account that pays 6% annually. a) How large must each payment be if the father makes five equal annual deposits into her account; the first deposit today and the fifth deposit on the daughters 17th birthday? [Hint: Calculate the cost (inflated at 5%) for each year of college and find the PV of these costs, discounted at 6%, as of the day she enters college. Then find the compounded value of her initial $7,500 on that same day. The difference between the PV costs and the amount that would be in the savings account must be made up by the fathers deposits].