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?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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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?

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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.

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