A young couple is planning for the education of their two children. They plan to invest the same amount of money at the end of each of the next 16 years, i.e., the first contribution will be made at the end of the year and the final contribution will be made at the time the oldest child enters college. The money will be invested in securities that are certain to earn a return of 8 percent each year. The oldest child will begin college in 16 years and the second child will begin college in 18 years. Assume each child begins school in January and each school year is a calendar year. The parents anticipate college costs of $25,000 per year (per child). These costs must be paid at the end of each year (i.e. the tuition for the oldest child’s first year of college must be paid at the end of the 17th year). If each child takes four years to complete their college degrees, then how much money must the couple save each year?

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

A young couple is planning for the education of their two children. They plan to invest the same amount of money at the end of each of the next 16 years, i.e., the first contribution will be made at the end of the year and the final contribution will be made at the time the oldest child enters college.

The money will be invested in securities that are certain to earn a return of 8 percent each year. The oldest child will begin college in 16 years and the second child will begin college in 18 years. Assume each child begins school in January and each school year is a calendar year. The parents anticipate college costs of $25,000 per year (per child). These costs must be paid at the end of each year (i.e. the tuition for the oldest child’s first year of college must be paid at the end of the 17th year). If each child takes four years to complete their college degrees, then how much money must the couple save each year?

Expert Solution
Step 1: Introduction

Annuities are insurance contracts that promise to pay you regular income either immediately or in the future. You can buy an annuity with a lump sum or a series of payments. Annuities come in three main varieties—fixed, variable, and indexed—each with its own level of risk and payout potential.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Investments
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
Excel Applications for Accounting Principles
Excel Applications for Accounting Principles
Accounting
ISBN:
9781111581565
Author:
Gaylord N. Smith
Publisher:
Cengage Learning
Pfin (with Mindtap, 1 Term Printed Access Card) (…
Pfin (with Mindtap, 1 Term Printed Access Card) (…
Finance
ISBN:
9780357033609
Author:
Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:
Cengage Learning
SWFT Comprehensive Volume 2019
SWFT Comprehensive Volume 2019
Accounting
ISBN:
9780357233306
Author:
Maloney
Publisher:
Cengage
Personal Finance
Personal Finance
Finance
ISBN:
9781337669214
Author:
GARMAN
Publisher:
Cengage
SWFT Comprehensive Vol 2020
SWFT Comprehensive Vol 2020
Accounting
ISBN:
9780357391723
Author:
Maloney
Publisher:
Cengage