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You have recently adopted a child and are planning to save for her college education. You want to have $50,000 saved by the time she starts college in 18 years. If your savings account offers an annual interest rate of 3%, how much should you deposit each year in order to reach your goal?

You have recently adopted a child and are planning to save for her college education. You want to have $50,000 saved by the time she starts college in 18 years. If your savings account offers an annual interest rate of 3%, how much should you deposit each year in order to reach your goal?

Essentials Of Investments
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
Section: Chapter Questions
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  1. You have recently adopted a child and are planning to save for her college education. You want to have $50,000 saved by the time she starts college in 18 years. If your savings account offers an annual interest rate of 3%, how much should you deposit each year in order to reach your goal?

 

Expert Solution
Step 1: Analysis

We need to use future value of ordinary annuity formula to calculate annual payment to achieve goal.

P M T space equals open curly brackets fraction numerator F V asterisk times i over denominator left parenthesis 1 plus i right parenthesis to the power of n minus 1 end fraction close curly brackets

where

PMT =Annual payment

i=annual interest rate

n= number of years


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