Michael and Chloe are saving for their daughter Laylah's college education. Laylah 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 $15,500 a year, but they are expected to increase at a rate of 3.5% a year. Laylah 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, Michael and Chloe have accumulated $12,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $4,000 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 8%. How large must the annual payments at t = 5, 6, and 7 be to cover Laylah's anticipated college costs? a. $9,528.58 b. $8,541.25 c. $9,224.55 d. $10,290.87 e. $7,801.67

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 33P
icon
Related questions
Question
Questions
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
◄ Question 9 of 25
Michael and Chloe are saving for their daughter Laylah's college education. Laylah 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 $15,500 a year, but they are
expected to increase at a rate of 3.5% a year. Laylah 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, Michael and Chloe have accumulated $12,000 in their college savings account (at t = 0). Their long-run financial plan is
to add an additional $4,000 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 8%. How large must
the annual payments at t = 5, 6, and 7 be to cover Laylah's anticipated college costs?
a. $9,528.58
b. $8,541.25
c. $9,224.55
d. $10,290.87
e. $7,801.67
Transcribed Image Text:Questions 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. ◄ Question 9 of 25 Michael and Chloe are saving for their daughter Laylah's college education. Laylah 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 $15,500 a year, but they are expected to increase at a rate of 3.5% a year. Laylah 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, Michael and Chloe have accumulated $12,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $4,000 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 8%. How large must the annual payments at t = 5, 6, and 7 be to cover Laylah's anticipated college costs? a. $9,528.58 b. $8,541.25 c. $9,224.55 d. $10,290.87 e. $7,801.67
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Checking Accounts
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:
9781337514835
Author:
MOYER
Publisher:
CENGAGE LEARNING - CONSIGNMENT