Question
Work through the following scenario to understand future value and the concept of compounding interest. You have an eccentric aunt who has promised to deposit
Work through the following scenario to understand future value and the concept of compounding interest.
You have an eccentric aunt who has promised to deposit $7,000 in a savings account in your name. She has stated that you will not have access to the money for six years but that the money will be earning 7% interest. At the designated future date, the principal and interest will be yours to purchase a new car.
First gather the relevant data by completing the following table.
Present Value: | |
Period: | |
Rate of Interest: | % |
Future Value Factor: |
Next use the following table of future value factors or your financial calculator to calculate the future value of this money in six years.
Period | 1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% |
---|---|---|---|---|---|---|---|---|
1 | 1.010 | 1.020 | 1.030 | 1.040 | 1.050 | 1.060 | 1.070 | 1.080 |
2 | 1.020 | 1.040 | 1.061 | 1.082 | 1.103 | 1.124 | 1.145 | 1.166 |
3 | 1.030 | 1.061 | 1.093 | 1.125 | 1.158 | 1.191 | 1.225 | 1.260 |
4 | 1.041 | 1.082 | 1.126 | 1.170 | 1.216 | 1.262 | 1.311 | 1.360 |
5 | 1.051 | 1.104 | 1.159 | 1.217 | 1.276 | 1.338 | 1.403 | 1.469 |
6 | 1.062 | 1.126 | 1.194 | 1.265 | 1.340 | 1.419 | 1.501 | 1.587 |
7 | 1.072 | 1.149 | 1.230 | 1.316 | 1.407 | 1.504 | 1.606 | 1.714 |
The account will have a balance of in six years (rounded to two decimal places).
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