A parent is now planning a savings program to put a daughter through college. She is 13 and plans to enroll in college in 5 years, and she should graduate 4 years later. Currently, the annual cost for college is $15,000 and is expected to increase 4% each year. The college requires that the costs be paid at the start (hint: beginning) of each year. The child now has $7,500 saved for college in an account and is expected to have a return of 6% annually. The parent will make five equal payments starting today and where the fifth and final payment will be one year before she starts college and will make no more additional payments. How much must each of the payments be to fully fund the college cost? 2. How much will need to be in the account before the first payment to fully pay for college? 3. How much will the initial savings grow to before the first payment is due? 4. How much of a gap that will need to be funded? 5. What will the required payment need to be to fully fund the expected cost and the savings shortfall?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 33P
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Problem #1A
A parent is now planning a savings program to put a daughter through college. She is 13 and plans to enroll in college in 5 years, and she should graduate 4 years later. Currently, the annual cost for college is $15,000 and is expected to increase 4% each year. The college requires that the costs be paid at the start (hint: beginning) of each year. The child now has $7,500 saved for college in an account and is expected to have a return of 6% annually. The parent will make five equal payments starting today and where the fifth and final payment will be one year before she starts college and will make no more additional payments. How much must each of the payments be to fully fund the college cost?

2. How much will need to be in the account before the first payment to fully pay for college?
3. How much will the initial savings grow to before the first payment is due?
4. How much of a gap that will need to be funded?
5. What will the required payment need to be to fully fund the expected cost and the savings shortfall?


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