We
can also use the future value interest factor tables (FVIF)
– see Table 1 in Appendix, to work out the future value
of an amount today. The formula for this is:
FVn
= PV x FVIF (r%, n)
Where,
| FVn |
= |
future
value, |
| PV |
= |
present
value, |
| FVIF
(r%, n) |
= |
future
value interest factor, for interest rate, r% and number
of periods, n. |
From
the FVIF table, we must first determine the factor for FVIF
(r%, n); in our example, r = 8%, and n = 2. Hence, looking
down column (8%), the intersection with row (n = 2) across
is 1.166.
Using
this factor, we can calculate FV as:
FV = 100 x 1.166 = RM116.60
The
next step is to investigate how the future value of our RM100
investment can be increased. The most obvious manner is to
be able to earn a higher interest rate, say 10% per annum
instead of 8%.
- Future
value of RM100 given 8% compound interest for 2 years: RM116.64
- Future
value of RM100 given 10% compound interest for 2 years:
RM121.00
However,
we can also achieve a higher return if the interest was compounded
more frequently than once per annum (which is what financial
institutions normally do). By earning interest, which is paid
twice per year (semi-annually) or four times per year (quarterly),
the future value of our RM100 will be much higher.
Given
an interest rate of 8% for 2 years, the future value of RM100
would be RM116.64 (where interest is compounded annually)
– the future value of RM100 at end of the same period,
would be RM116.99 (if compounded semi-annually) and RM117.17
(if compounded quarterly).
| Future
value of RM100 at 8% – compounded at different frequencies
|
| End
of year |
Annual |
Semi |
Quarterly |
| 1 |
108.00 |
108.16 |
108.24 |
| ›
2 |
116.64 |
116.99 |
117.17 |
Another
way the future value of our RM100 can be increased would be
to keep the money in the bank for a longer period of time
(that is, by increasing the period, n in our equation). For
example, RM100 if compounded at the same 8% but for a longer
period would yield higher returns – for 4 years, the
future value would be RM136.00, while for 6 years, the future
value would be RM158.70.
| Future
value of RM100 at 8% – compounded for longer periods |
2
yrs
|
116.64 |
| 4
yrs |
136.00 |
| 6
yrs |
158.70 |
|