John and Daphne Are Saving for Their Daughter Ellen's College

question 102

Multiple Choice

John and Daphne are saving for their daughter Ellen's college education.Ellen 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 $14,500 a year,but they are expected to increase at a rate of 3.5% a year.Ellen 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,John and Daphne have accumulated $15,000 in their college savings account (at t = 0) .Their long-run financial plan is to add an additional $5,000 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 9%.How large must the annual payments at t = 5,6,and 7 be to cover Ellen's anticipated college costs?

• A)$1,965.21
• B)$2,068.64
• C)$2,177.51
• D)$2,292.12
• E)$2,412.76

---

Definitions:

Production Costs

The expenses incurred in the process of producing a good or service, including materials, labor, and overhead.

Earnings Differential

Refers to the differences in wages or earnings between different groups of workers, often based on qualifications, experience, or demographics.

Education Adjustment

Modifications made in educational systems or plans to accommodate different factors such as student needs or budget constraints.

Annual Earnings Ratio

The comparison of earnings over a year often used to analyze profitability or compare salaries.