61.9k views
5 votes
$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
by
7.1k points

1 Answer

2 votes
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
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories