Thursday 30 April 2015

Future Annuity Formula

Future Annuity Formula

Present value of Future annuity may be calculated by the following formula
C x (Annuity Factor) x Discount Factor

Future Annuity Formula Example

Mr. Saleem Khan was offered an annuity amount of $ 25,000 for 3 years. Discount rate for annuity is 5%. Annuity will start after 5 years. Calculate the present value of the annuity.

1.       Calculate the annuity at year 5
= 1-(1.05)-3
        .05
=2.723
= $ 25,000 x 2.723
=68,081

2.       Discount the present value at year zero

$ 68,081 x ( 1+.05)-5
=$68,081 x .7835
=53,343

Tip of future annuity

Two present value are calculated

1.       Present value is calculated at future year by annuity factor (Single Value)
2.       Present value is calculated by discounting the value calculates by annuity factor.