What Is Annuity Formula?
What Is Annuity Formula? An annuity formula is a term used to refer to a finite stream of fixed payments over a specified length of time.
In determining todays’ value of future payments, you can use the formula below. This is the formula you would use to determine how much you need to save to get the payout that you would be comfortable with. You also need to account for inflation, because once your annuity is locked in, it will not make adjustments for inflation.
To define “What Is Annuity Formula?” we will begin with the values used in the formula itself. To utilize the formula for the present value of an annuity you need to define all of the values. With this formula we are going to define an annuity as a fixed sum of money paid at regular intervals.
Present value of an annuity:
P = the amount that needs to be invested now to give an annuity paying N at the end of each year for n years, beginning in one year. This assumes that money not yet paid out earns interest at.:
r = the interest rate, as a decimal (5%, for example, is r = 0.05)
P = (N/r)( 1 – (1 + r)-n)
For instance, if the payout is to be $20,000 a year for 20 years and the interest rate is 5%, the amount you’d need to invest in the annuity is:
P = (20000/0.05)( 1 – (1 + 0.05)-20) = 400000(1 – .37689) = $249,244
Or put more simply:
P=sum deposited at the end of each year
r=the interest rate, as a decimal
n=number of years the annuity has run
N=total amount accumulated at the end of n years
N=(P/r)((1+r)n -1)
There are many free calculators online as well as numerous equations for absolutely any annuity scenario you can dream of.
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