FUTURE VALUE OF AN ORDINARY ANNUITY
ANNUITY
An
annuity is a stream of equal payments that occurs through time. The payments can either be cash inflows or cash outflows.
Both Present Values and Future Values of these payment streams can be
calculated. There are two general
types of annuities: an Ordinary Annuity or an Annuity Due.
ORDINARY
ANNUITY
An
ordinary annuity is an annuity in which the payments occur at the end of
each period. The payments can either be cash inflows or cash outflows. Both
Present Values and Future Values of these payment streams can be calculated.
Most annuity problems are assumed to be ordinary annuities unless
otherwise stated.
ANNUITY
DUE
An
annuity due is an annuity in which the payments occur at the beginning of
each period. The payments can either be cash inflows or cash outflows. Both
Present Values and Future Values of these payment streams can be calculated.
FUTURE
VALUE OF AN ORDINARY ANNUITY
The
future value dollar amount at the end of a stream of equal payments that have
been made at the end of each period.
In
an ordinary annuity, a stream of equal payments is made through time. Each
payment earns compound interest (or a compound return) through time and each
payment will have it’s own Future Value.
The sum of all the Future Values of all payments represent the Future
Value of the Ordinary Annuity.
The
payments can be either cash inflows or cash outflows.
If the payments are inflows, the future value is assumed to be an
outflow. If the payments are
outflows, the future value is assumed to be an inflow.
In
the calculation of future values of ordinary annuities, Future Value Interest
Factors for Annuities (FVIFA) are used to facilitate the calculations.