Problema Solution

1. Boris invested $4,000 in a savings account for three years, at 12% compounded monthly. What is the effective rate of interest (APY) to the nearest hundredth percent? [Recall that APY is for ONE year.]

Answer provided by our tutors

Effective interest rate formula is

r = (1 + (i/n))^n - 1

i = 0.12 is the annual interest

n = 12 is the number of compounding periods

r = (1 + (0.12/12))^12 - 1

........

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r = 0.1268

The effective interest rate is 12.68%.