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$8,000 is invested at an annual rate of 6% with interest compounded monthly. Find the balance of the investment after 5 years

User Jesse Chen
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1 Answer

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The effective annual interest rate may be calculated by,

ieff = (1 + i/m)^m - 1

where i = 6% and m = 12

Substituting the known values to the equation,

ieff = (1 + 0.06/12)^12 - 1 = 0.06168

Solving for the balance of the investment in 5 years,

F = P x (1 + ieff)^n

where P = $8,000 and n = 5

F = $8,000 x (1 + 0.06168)^5 = $10,790

Therefore, the future balance of investment is $10,790.






User Preinheimer
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