Nathan and Stephanie are saving for their daughter's college education. Their daughter, Paige, is now 8 years old and will be entering college 10 years from now (t = 10). College tuition and expenses at State U. are currently $16,000 a year and are expected to increase at a rate of 4% a year. They expect Paige to graduate in 4 years (if Paige wants to go to graduate school, she's on her own). Tuition and other costs will be due at the beginning of each school year (at t = 10, 11, 12, and 13). So far, Nathan and Stephanie have built up $9,000 in the college savings account. Their long-run financial plan is to contribute $3,000 a year at the beginning of each of the next five years (at t = 0, 1, 2, 3, and 4). Then they plan to make 6 equal annual contributions at the end of each of the following 6 years (t = 5, 6, 7, 8, 9, and 10). Their investment account is expected to earn 8%. 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?
8) Nathan and Stephanie are saving for their daughter's college education. Their daughter, Paige, is now 8 years old and will be entering college 10 years from now (t = 10). College tuition and expenses at State U. are currently $16,000 a year and are expected to increase at a rate of 4% a year. They expect Paige to graduate in 4 years (if Paige wants to go to graduate school, she's on her own). Tuition and other costs will be due at the beginning of each school year (at t = 10, 11, 12, and 13).
So far, Nathan and Stephanie have built up $9,000 in the college savings account. Their long-run financial plan is to contribute $3,000 a year at the beginning of each of the next five years (at t = 0, 1, 2, 3, and 4). Then they plan to make 6 equal annual contributions at the end of each of the following 6 years (t = 5, 6, 7, 8, 9, and 10). Their investment account is expected to earn 8%. 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?
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![EBK CONTEMPORARY FINANCIAL MANAGEMENT](https://www.bartleby.com/isbn_cover_images/9781337514835/9781337514835_smallCoverImage.jpg)
![Excel Applications for Accounting Principles](https://www.bartleby.com/isbn_cover_images/9781111581565/9781111581565_smallCoverImage.gif)
![Pfin (with Mindtap, 1 Term Printed Access Card) (…](https://www.bartleby.com/isbn_cover_images/9780357033609/9780357033609_smallCoverImage.jpg)
![EBK CONTEMPORARY FINANCIAL MANAGEMENT](https://www.bartleby.com/isbn_cover_images/9781337514835/9781337514835_smallCoverImage.jpg)
![Excel Applications for Accounting Principles](https://www.bartleby.com/isbn_cover_images/9781111581565/9781111581565_smallCoverImage.gif)
![Pfin (with Mindtap, 1 Term Printed Access Card) (…](https://www.bartleby.com/isbn_cover_images/9780357033609/9780357033609_smallCoverImage.jpg)