John and Daphne are saving for their daughter Ellen's college education. Ellen 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 $14,500 a year, but they are expected to increase at a rate of 3.5% a year. Ellen 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, John and Daphne have accumulated $14,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $5,000 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 9%. How large must the annual payments at t = 5, 6, and 7 be to cover Ellen's anticipated college costs? a. $3,326.86 b. $2,970.41 c. $2,584.26 d. $3,505.08 e. $2,881.30 >

Excel Applications for Accounting Principles
4th Edition
ISBN:9781111581565
Author:Gaylord N. Smith
Publisher:Gaylord N. Smith
Chapter27: Time Value Of Money (compound)
Section: Chapter Questions
Problem 6E
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John and Daphne are saving for their daughter Ellen's college education. Ellen 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 $14,500 a year, but they are
expected to increase at a rate of 3.5% a year. Ellen 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, John and Daphne have accumulated $14,000 in their college savings account
(at t= 0). Their long-run financial plan is to add an additional $5,000 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 9%. How large must the annual payments at t = 5, 6, and
7 be to cover Ellen's anticipated college costs?
a.
$3,326.86
b. $2,970.41
C. $2,584.26
d. $3,505.08
e. $2,881.30
>
Transcribed Image Text:John and Daphne are saving for their daughter Ellen's college education. Ellen 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 $14,500 a year, but they are expected to increase at a rate of 3.5% a year. Ellen 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, John and Daphne have accumulated $14,000 in their college savings account (at t= 0). Their long-run financial plan is to add an additional $5,000 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 9%. How large must the annual payments at t = 5, 6, and 7 be to cover Ellen's anticipated college costs? a. $3,326.86 b. $2,970.41 C. $2,584.26 d. $3,505.08 e. $2,881.30 >
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