The formula for future value of annuity that exists future value of annuity = P ×
.
Save each year to reach their goal exists $2152.48
Save each year to reach their new goal exists $2869.97
<h3>What is meant by
future value of annuity?</h3>
The worth of a series of recurrent payments at a specific future date, assuming a specific rate of return, or discount rate, is the future value of an annuity. The future value of the annuity increases with the discount rate.
Given: amount saved = 120,000
Rate of Interest earned = 12.0 %
time = 18th birthday
Where, annual savings = P
The formula for future value of annuity that exists future value of annuity = P ×
................(1)
where r exists rate and n exists a time period
put her value
$ 120,000 = P × ![$\frac{(1+0.12)^{18}-1}{0.12}](https://tex.z-dn.net/?f=%24%5Cfrac%7B%281%2B0.12%29%5E%7B18%7D-1%7D%7B0.12%7D)
= $ 2152.48
Save each year to reach their goal exists $ 2152.48 and for $ 160,000 on 18 th Birthday
we consider here annual savings = P
From (1),
Future value of annuity = P × ![$\frac{(1+r)^n-1}{r}$](https://tex.z-dn.net/?f=%24%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%24)
$ 160,000 = P × ![$\frac{(1+0.12)^{18}-1}{0.12}$](https://tex.z-dn.net/?f=%24%5Cfrac%7B%281%2B0.12%29%5E%7B18%7D-1%7D%7B0.12%7D%24)
P = $2869.97
Therefore, Save each year to reach their goal exists $2152.48
save each year to reach their new goal is $2869.97
To learn more about future value of annuity refer to:
brainly.com/question/27011316
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