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3. What is the future value after 22 years of year-end deposits $__250_____ earning 3% 4....

3. What is the future value after 22 years of year-end deposits $__250_____ earning 3%

4. What is the future value in the preceding problem if deposits are year-beginning?

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Answer #1
Future value of an ordinary annuity = C*[((1+r)^t-1)/r]
where C is the annuity payment that is 250.
r is the interest rate that is 3%.
t is the year that is 22.
Future value of an ordinary annuity = 250*[((1.03)^22-1)/.03]
Future value of an ordinary annuity = 250*[((1.916103-1)/.03]
Future value of an ordinary annuity = 250*[(.916103)/.03]
Future value of an ordinary annuity = 250*[30.53678]
Future value of an ordinary annuity = 7634.195.
3) The future value of the annuity is $7634.19.
Future value of the annuity due = Future value of ordinary annuity*(1+r)
r is the interest rate that is 3%.
Future value of the annuity due = 7634.195*(1.03)
Future value of the annuity due = 7634.195*(1.03)
Future value of the annuity due = 7863.221.
4) The future value of the annuity due is $7863.22.
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