Matthew and Imani are saving for their daughter Ciana's college education. Ciana just turned 10 (at t = 0), and she will be entering college 8 years from now tuition and expenses at State U. are currently $13,000 a year, but they are expected to increase at a rate of 4.5 % a year. Ciana should graduate in 4 years--if 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 Imani have accumulated $9,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $6,000 in each of the next 4 y 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% the annual payments at t = 5, 6, and 7 be to cover Ciana's anticipated college costs? a. $4,224.81 D. $2,575.22 c. $3,840.74 d. $2,341.11 e. $1.529.94

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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Matthew and Imani are saving for their daughter Ciana's college education. Ciana 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 $13,000 a year, but they are expected to increase at a rate of 4.5% a year. Ciana 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, Matthew and
Imani have accumulated $9,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $6,000 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 10%. How large must
the annual payments at t = 5, 6, and 7 be to cover Ciana's anticipated college costs?
a. $4,224.81
b. $2,575.22
c. $3,840.74
d. $2,341.11
e. $1,529.94
Transcribed Image Text:Matthew and Imani are saving for their daughter Ciana's college education. Ciana 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 $13,000 a year, but they are expected to increase at a rate of 4.5% a year. Ciana 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, Matthew and Imani have accumulated $9,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $6,000 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 10%. How large must the annual payments at t = 5, 6, and 7 be to cover Ciana's anticipated college costs? a. $4,224.81 b. $2,575.22 c. $3,840.74 d. $2,341.11 e. $1,529.94
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