Evaluating
Annuities
In order to evaluate an annuity, one thing that has
to be kept in mind is that it is basically a series of fixed or variable
payments spread over a certain period of time. During the accumulation phase,
the investor makes the payment and during the payout phase, the investor
receives the payment. The timing of each of these payments as well as the
frequency of the payments may differ from one plan to the other, but the basic
common factor among all these annuity plans is that they consist of a series of
payments during a certain period of time, which may be fixed or uncertain. The
most common payment frequencies are yearly, half-yearly, quarterly or monthly.
For the purpose of evaluation of annuities, they can
be classified in two categories – ordinary annuity or annuity due. An ordinary
annuity is the one in which the payment is made at the end of the period,
whereas in the annuity due, the payment is made at the beginning of the period.
A common example of ordinary annuity concept is the coupon payment made on a
bond, in which the coupon payments are made at the end of every six-month
period or one-year period depending on whether the bond provides for a
semi-annual coupon payment or an annual coupon payment. Payment of rent is an
example of the concept of annuity due, in which the payment is required to be
made at the beginning of the period when a tenant moves in an apartment for the
current month and is required to make payments at the beginning of every
subsequent month for the corresponding month.
Because of the concept of time value of money, what
is a dollar today is worth more than a dollar tomorrow, the present value of an
annuity that pays certain amount of money in future is worth less than what it
pays in total, spread over a period of time in future. The evaluation of an
annuity basically involves determination of the present value of the series of
such payments in future, either pre-determined in case of an annuity for a
fixed period of time, or for a variable period, in case of the one for the
entire life of the owner or beneficiary. In the latter case, an estimate is
done on the expected life of the beneficiary and the valuation of the annuity
is done accordingly.
The present value of an annuity is determined based
on the payment frequency, or the number of payments in a year, the time at
which these payments are required to be made, whether at the beginning or the
end of the period, and the total number of such payments that are expected to
be made. An important variable in the valuation of the annuity is the
prevailing rate of interest rate in the economy that can be used for
discounting the payments received in the future.