Problema Solution

Find the accumulated value of an investment of 45,000 for 10 years that is invested in an account the pays 3.75% interest compounded quarterly. Show your computation.

Answer provided by our tutors

P = $45,000.00 the principal


r = 0.0375 or 3.75% annual rate


m = 4 compounding period per year (compounded quarterly)


i = r/4 = 0.0375/4 = 0.009375 interest rate per period


t = 10 years number of years


n = t*m = 10*4 = 40 total number of compounding periods


A = the future value


A = P(1 + i)^n


A = 45000(1 + 0.009375)^40

........


click here to see the step by step computation


........

A = $65,360.34


The accumulated value after 10 years will be $65,360.34.