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3 votes
How much must be deposited today into the following account in order to have a $120,000 college fund in 17 years? Assume no additional deposits are made. An account with annual compounding and an APR of 6.49%.

asked
User Inserve
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8.4k points

1 Answer

2 votes

Final answer:

To have a $120,000 college fund in 17 years, you must deposit approximately $39,970.31 today into the account with an APR of 6.49% and annual compounding.

Step-by-step explanation:

To calculate how much money must be deposited today to have a $120,000 college fund in 17 years, we can use the formula for compound interest:

Future Value = Present Value × (1 + Interest Rate)^Number of Periods

Using this formula, we can substitute the given values into the equation:

$120,000 = Present Value × (1 + 0.0649)^17

To find the Present Value, we can rearrange the equation:

Present Value = $120,000 / (1 + 0.0649)^17

Calculating this using a calculator, we find that the Present Value must be approximately $39,970.31.

answered
User Necktwi
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8.4k points
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