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If you invested $2,500 in a very successful mutual fund (12% return a year), how long would it take for you to


have a balance of $5,000?
a. 2 years
b. 4 years
c. 6 years
d. 8 years
e. 9 years
f. 12 years

Assuming compounded returns at the same annual rate, you're solving for this equation:

2500 x (1.12 ^ n) = 5000

... which is ...

1.12 ^ n = 5000 / 2500

1.12 ^ n = 2

ln (1.12 ^ n) = ln (2)

n * ln (1.12) = ln (2)

n = ln (2) / ln (1.12)

n = 0.69 / 0.11

n = 6.12

... so given possible answers, here's the closest:

C. 6 years

B

C. The rule of 72 tells us that if we divide the number 72 by an annual compound interest rate, we get the number of years it takes for an investment to double.

PS-- never forget the silent enemy: INFLATION

d

6 years

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