FINANCE9

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School

University of Florida *

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Course

3403

Subject

Finance

Date

Feb 20, 2024

Type

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Pages

1

Uploaded by samsoccer2

Report
9. Assume that you are planning for your child's education. You are currently at Year 0 and would like to make 20 annual deposits in Years 1 through 20 so that your child may make withdrawals in each of the years 18 through 21 for tuition. Tuition is currently $2,000, but is expected to grow at 5% for each of the next 25 years. If you can earn a stated or nominal annual rate of 8%, but interest is compounded semi-annually, then determine how much you must deposit in each year. A. $444.75 8 B. $462.75 C. $480.75 | Old Exam Questions - Time Value of Money - Solutions Page 44 of 117 Pages D. $453.75 E $471.75 There are many ways to solve this problem, following is one of them: EAR = (1.04)?’-1.0 = 8.16% Year Tuition PV at Year O 18 ($2,000)(1.05)'® = $4,813.24 $1,172.64 19 ($2,000)(1.05)" $5,053.90 $1,138.57 20 ($2,000)(1.05)% $5,306.60 $1,105.31 $5,571.93 $1.073.01 $4,489.53 21 ($2,000)(1.05)"
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