Dontrell and Hannah are saving for their daughter Kennedy's college education. Kennedy just turned 10 (at t = 0), and she vill be entering college 8 years from now (at t = 8). College tuition and expenses at State U. are currently $12,500 a year, but hey are expected to increase at a rate of 4.0% a year. Kennedy should graduate in 4 years--if she takes longer or wants to go o 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, э, 10, and 1). So far, Dontrell and Hannah have accumulated $8,000 in their college savings account (at t = 0). Their long-run financial olan is to add an additional $4,500 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 he annual payments at t = 5, 6, and 7 be to cover Kennedy's anticipated college costs? O a. $7,263.16 O b. $6,367.48 O c. $7,844.22 O d. $6,876.88 O e. $5.657.51

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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Dontrell and Hannah are saving for their daughter Kennedy's college education. Kennedy 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 $12,500 a year, but
they are expected to increase at a rate of 4.0% a year. Kennedy 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, Dontrell and Hannah have accumulated $8,000 in their college savings account (at t = o). Their long-run financial
plan is to add an additional $4,500 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 Kennedy's anticipated college costs?
O a. $7,263.16
b. $6,367.48
c. $7,844.22
d. $6,876.88
e. $5,657.51
Transcribed Image Text:Dontrell and Hannah are saving for their daughter Kennedy's college education. Kennedy 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 $12,500 a year, but they are expected to increase at a rate of 4.0% a year. Kennedy 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, Dontrell and Hannah have accumulated $8,000 in their college savings account (at t = o). Their long-run financial plan is to add an additional $4,500 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 Kennedy's anticipated college costs? O a. $7,263.16 b. $6,367.48 c. $7,844.22 d. $6,876.88 e. $5,657.51
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