In: Finance
Suppose you save $75 a month for 30 years. If you are able to earn 6% per year on your savings, how much will you have accumulated by the end of 30 years? Assume monthly compounding.
Future value of annuity = payment per period * [(1+i)^n-1]/i
i = interest rate per period
n = number of periods
=>
Future value = 75 * [(1+0.06/12)^360 - 1]/(0.06/12)
= 75338.63