Justin and Kennedy are saving for their daughter Aliyah's college education. Aliyah just turned 10 (at t = 0), and she will be entering college 8 years from now (at t = 8). College tuition and expenses at State U. are currently $15,000 a year, but they are expected to increase at a rate of 2.5% a year. Aliyah should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. Tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11). So far, Justin and Kennedy have accumulated $10,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $5,500 in each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. They expect their investment account to earn 8%. How large must the annual payments at t = 5, 6, and 7 be to cover Aliyah's anticipated college costs? a. $5,960.00 b. $5,518.52 c. $4,768.32 d. $3,944.11 e. $4,415.11

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 38P
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Justin and Kennedy are saving for their daughter Aliyah's college education.
Aliyah just turned 10 (at t = 0), and she will be entering college 8 years from now
(at t = 8). College tuition and expenses at State U. are currently $15,000 a year,
but they are expected to increase at a rate of 2.5% a year. Aliyah should graduate
in 4 years--if she takes longer or wants to go to graduate school, she will be on
her own. Tuition and other costs will be due at the beginning of each school year
(at t = 8, 9, 10, and 11).
So far, Justin and Kennedy have accumulated $10,000 in their college savings
account (at t = 0). Their long-run financial plan is to add an additional $5,500 in
each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 3 equal
annual contributions in each of the following years, t = 5, 6, and 7. They expect
their investment account to earn 8%. How large must the annual payments at t =
5, 6, and 7 be to cover Aliyah's anticipated college costs?
a. $5,960.00
b. $5,518.52
c. $4,768.32
d. $3,944.11
e. $4,415.11
Transcribed Image Text:Justin and Kennedy are saving for their daughter Aliyah's college education. Aliyah just turned 10 (at t = 0), and she will be entering college 8 years from now (at t = 8). College tuition and expenses at State U. are currently $15,000 a year, but they are expected to increase at a rate of 2.5% a year. Aliyah should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. Tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11). So far, Justin and Kennedy have accumulated $10,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $5,500 in each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. They expect their investment account to earn 8%. How large must the annual payments at t = 5, 6, and 7 be to cover Aliyah's anticipated college costs? a. $5,960.00 b. $5,518.52 c. $4,768.32 d. $3,944.11 e. $4,415.11
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