annual payments at t = 5, 6, and 7 be to cover Laila's anticipated college costs?

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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Shemar and Candice are saving for their daughter Laila's college education. Laila 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 $16,00o a year, but they
are expected to increase at a rate of 3.5% a year. Laila 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, Shemar and Candice have accumulated $15,000 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 10%. How large
must the annual payments at t = 5, 6, and 7 be to cover Laila's anticipated college costs?
O a. $2,079.12
O b. $4,196.56
O c. $2,287.03
d. $1,363.08
e. $3,815.05
Transcribed Image Text:Shemar and Candice are saving for their daughter Laila's college education. Laila 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 $16,00o a year, but they are expected to increase at a rate of 3.5% a year. Laila 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, Shemar and Candice have accumulated $15,000 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 10%. How large must the annual payments at t = 5, 6, and 7 be to cover Laila's anticipated college costs? O a. $2,079.12 O b. $4,196.56 O c. $2,287.03 d. $1,363.08 e. $3,815.05
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