208 209
PERSONAL FINANCE
DebtHow it works
Interest is the cost of borrowing
money, for example from a bank,
and it is calculated as a percentage
of the capital. When money is
saved it is effectively being lent
to the institution, which then paysinterest to the investor, so the
capital “earns” interest.
With simple interest, money
is paid out to the investor each
year. Compound interest is interest
paid on reinvested simple interest,
and works for both saving andborrowing. The interest from the
first year is added to the initial sum,
so in the second year interest is
paid on the capital plus the interest
accrued. In the third year it is paid
on the capital plus the first two
years’ interest, and so on.$1,10 0$1, 210$1,331
$31 extra earned
through compound
interestCOMPOUND
INTEREST
= 10%COMPOUND
INTEREST
= 10%INTEREST
PAID = $110INTEREST
PAID = $121INTEREST
PAID = $100
CAPITAL GROWS
The third year now
begins with a balance
of $1,210, which
earns $121 in interest
(10 percent of $1,210),
resulting in an end of
year balance of $1,331.IMPROVED GROWTH
Compound interest results
in a gain of $331, $31 more than
if simple interest had been
applied to the initial deposit at
the same rate of interest for the
same period, which would have
resulted in a gain of $300.END OF
YEAR 2END OF YEAR 3“Compound interest is the
eighth wonder of the world.
He who understands it, earns
it; he who doesn’t, pays it.”
Albert EinsteinUS_208-209_Interest_Compound_interest.indd 209 14/10/2016 13:07