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.
No comments:
Post a Comment