John and Jessica are saving for their child's education. Their daughter is currently eight years old and will be entering college 10 years from now (t=10). College costs are currently $15,000 a year and are expected to increase at a rate of 5% a year. They expect their daughter to graduate in four years, and that all annual payments will be due at the beginning of each year (t=10, 11, 12, and 13). Right now, John and Jessica have $5,000 in their college savings account. Starting today, they plan to contribute $3,000 a year at the beginning of each of the next five years (t-0, 1, 2, 3, and 4). Then their plan is to make six equal annual contributions at the end of each of the following six years (t=5, 6, 7,8, 9, and 10). Their investment account is expected to have an annual return of 12%. How large of an annual payment do they have to make in the subsequent six years (t=5, 6, 7, 8, 9, and 10) in order to meet their child'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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by using mathematical formula (not excel), find how large must the annual payments be in the subsequent 6 years (t = 5, 6, 7, 8, 9, and 10) to meet their daughter’s anticipated college costs? 

 

*ANS: 4411 DOLLARS

John and Jessica are saving for their child's education. Their daughter is currently eight years
old and will be entering college 10 years from now (t=10). College costs are currently
$15,000 a year and are expected to increase at a rate of 5% a year. They expect their daughter
to graduate in four years, and that all annual payments will be due at the beginning of each
year (t=10, 11, 12, and 13).
Right now, John and Jessica have $5,000 in their college savings account. Starting today,
they plan to contribute $3,000 a year at the beginning of each of the next five years (t=0, 1, 2,
3, and 4). Then their plan is to make six equal annual contributions at the end of each of the
following six years (t=5, 6, 7,8, 9, and 10). Their investment account is expected to have an
annual return of 12%. How large of an annual payment do they have to make in the
subsequent six years (t=5, 6, 7, 8, 9, and 10) in order to meet their child's
anticipated college costs?
Transcribed Image Text:John and Jessica are saving for their child's education. Their daughter is currently eight years old and will be entering college 10 years from now (t=10). College costs are currently $15,000 a year and are expected to increase at a rate of 5% a year. They expect their daughter to graduate in four years, and that all annual payments will be due at the beginning of each year (t=10, 11, 12, and 13). Right now, John and Jessica have $5,000 in their college savings account. Starting today, they plan to contribute $3,000 a year at the beginning of each of the next five years (t=0, 1, 2, 3, and 4). Then their plan is to make six equal annual contributions at the end of each of the following six years (t=5, 6, 7,8, 9, and 10). Their investment account is expected to have an annual return of 12%. How large of an annual payment do they have to make in the subsequent six years (t=5, 6, 7, 8, 9, and 10) in order to meet their child's anticipated college costs?
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