Realizing that the cost of graduate school is increasing and extraordinarily high, you decide to plan ahead and save monthly in your savings account that pays 6%, compounded monthly. You have done your research and have estimated your degree to cost $40,000, payable in four years. How much must you save monthly to accumulate this amount in four years?
This can be solved using the Future value of annuity | ||||||
Future value of annuity = [(P*(1+r)^n-1/r))] | ||||||
P is Period Payment for month = ? | ||||||
n is No of months = 4*12 =48 Months | ||||||
r is rate of interest per month = 0.5% | ||||||
Future value of annuity = $ 40,000 /- | ||||||
40000=P*((1+0.005)^48-1)/0.005) | ||||||
40000=P*54.09783222 | ||||||
P is $ 739.40 /- Approx. | ||||||
He need to save monthly an amount of $ 739.40/- for 4 yrs | ||||||
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