Answer:
Amount at the end of twentieth year is $12,300
Explanation:
Annuity means a set of fixed amount of payments either made to you or paid by you , at a fixed number of times over a course of defined period.
The case given in the question is of ordinary annuity , where fixed amount of payment are required at the end of each period.
FORMULA FOR FUTURE VALUE ORDINARY ANNUITY =
Where, C(cash flow) = $300,
I(interest rate) = 7%
N(number of period) = 20
FV ( Future value)
[tex]FUTURE\ VALUE(FV)\ OF\ ORDINARY\ ANNUITY= CASH\ FLOW(C)\times \left [ \frac{1+I^{N}-1}{I} \right ])[/tex]
[tex]FUTURE\ VALUE(FV)\ OF\ ORDINARY\ ANNUITY= \$300\times \left [ \frac{1+7\%^{20}-1}{7\%} \right ])[/tex]
[tex]FUTURE\ VALUE(FV)\ OF\ ORDINARY\ ANNUITY= \$300\times \left [ \frac{\ 1.07\ ^{20}-1}{7\%} \right ])[/tex]
[tex]FUTURE\ VALUE(FV)\ OF\ ORDINARY\ ANNUITY= \$300\times \left [ \frac{\ 3.87\ -1}{7\%} \right ])[/tex]
[tex]FUTURE\ VALUE(FV)\ OF\ ORDINARY\ ANNUITY= \$300\times \left [ \frac{\ 2.87}{7\%} \right ])[/tex]
= 861/7%
= $12,300
