Question

You need to have $24,756 available at the end of 8 years. How much to do...

You need to have $24,756 available at the end of 8 years. How much to do you have invest each year, starting at the end of this year, for 8 years to achieve this goal? 11% rate (Enter your answer as a positive number rounded to 2 decimal places.)

Homework Answers

Answer #1
Future Value of ordinary annuity = Annuity * Future Value of annuity of $ 1
or, $     24,756 = Annuity*11.8594
or, Annuity = $     24,756 / 11.8594
or, Annuity = $ 2,087.45
Working:
Future Value of annuity of $ 1 = (((1+i)^n)-1)/i Where,
= (((1+0.11)^8)-1)/0.11 i 11%
=       11.8594 n 8
Thus, each year investment is $2,087.45
Future Value of anuity of $ 2,087.45 would become amount equivalent to $ 24,756 in 8 years.
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