Wednesday 24 February 2016

Future Value Annuity Due Formula

Future Value Annuity Due Formula

Future value of annuity due is calculated to determine the future value of the series of payment regularly made to a financial institution. This concept is widely used in insurance company.


Where;
C= Payment
i= Rate of interest
n= number of period (payment made)

 Future Value of Annuity Due


Future value of annuity due is basically calculating the Final or future value of series of payment made in an investment scheme on annual bases. Future value of annuity due concept has been explained with an example.


Annuity Due Formula Example

Amount Deposited= 4000
Period = 4 Years
Interest Rate =12%

Solution

Annuity Factor =C x [(1+i)n-1] x (1+r)
                                      i
= Cx [(1+12%)4-1] x (1+12%)
             12%

= 4000x (4.7793 x 1.12)


=4000 x 5.353

=21410

Future Value of annuity may also be calculated by following table, but this is method is a time consuming exercise.


Series of Payment
Interest
Future Value
1
4000
(1.12)4
6294
2
4000
(1.12)3
5619
3
4000
(1.12)2
5017
4
4000
(1.12)1
4480



21,410

Above example shows that person will receive an amount of 21,410 as result of series of payment he made in four years.


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