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Money is invested into an account earning 4.25% interest compounded annually. If the accumulated value after 18 years

will be $25,000, approximately how much money is presently in the account?
a $5,875
b. $11,820
c. $19,125
d. $23,960

2 Answers

6 votes

Answer:

B

Explanation:

User MikeNereson
by
5.0k points
6 votes

Answer:

b. $11,820

Explanation:

The 'rule of 72' tells you the doubling time of this account is about ...

(72 years)/(4.25) = 16.9 years

So, in 18 years, the amount will be slightly more than double the present value. That is, the present value is slightly less than half the future amount.

$25,000/2 = $12,500

The closest answer choice is ...

$11,820

__

The present value of that future amount is ...

PV = FV×(1 +r)^-t = $25,000×1.0425^-18 ≈ $11,818.73

The present value is about $11,820.

User ANoble
by
4.9k points