Question

In: Finance

You deposit ​$1000 in an account that pays ​8% interest compounded semiannually. After 5 ​years, the...

You deposit ​$1000 in an account that pays ​8% interest compounded semiannually. After 5 ​years, the interest rate is increased to 8.12​% compounded quarterly. What will be the value of the account after a total of 10 ​years?

Solutions

Expert Solution

FV = PV(1 + r)^t

At 8% interest:

Value after 5 years = $1000[1 + (0.08/2)]^(5 * 2) = $1,480.244

At 8.12% interest:

Value after 5 years = $1,480.244[1 + (0.0812/4)]^(5 * 4) = $2,212.54


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