Assume you are planning to invest $5,000 each year for six years and will earn 10 percent per year. Determine the future value of this annuity if your first $5,000 is invested at the end of the first year.
$38,480 $38,580 $34,580 $35,840
This is an example of an ordinary annuity because | |||||
the payments occur at the end of each year. | |||||
The formula for future value of an ordinary annuity is: | |||||
Future value of an annuity = C[((1+r)^t-1)/r] | |||||
where C is the annuity payment that is 5000. | |||||
r is the interest rate that is 10%. | |||||
t is the year that is 6. | |||||
Future value = 5000*[((1.10)^6-1)/.10] | |||||
Future value = 5000*[(1.771561-1)/.10] | |||||
Future value = 5000*[(.771561)/.10] | |||||
Future value = 5000*[(7.71561)] | |||||
Future value = 38578.05 | |||||
The future value of this annuity is | |||||
$38580. |
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