Money grows by a fixed percentage each period when compounding is allowed.

highlighted = computed this step

Compound-interest formula

Each period multiplies the balance by one plus the period rate. Over n periods, this same multiplier is applied repeatedly.

$1,000.00(1+10%)3=$1,331.00\$1,000.00\left(1+10\%\right)^{3} = \$1,331.00
Compound growthA principal grows by the same percentage each period. 0123$1,000.00$1,331.00

Worked thread

With $1,000.00 at 10%, after 1 period the value is $1,100.00, after 2, it is $1,210.00, and after 3, it is $1,331.00.

$1,100.00$1,210.00$1,331.00\$1,100.00\$1,210.00\$1,331.00
Compound growthA principal grows by the same percentage each period. 0123$1,000.00$1,331.00

Rounding and assumptions

We assume a single constant rate per period. We round-half-up to the cent for displayed money, so these values are exactly computed but shown at two decimals. Institutions or regulations may require different rules (for example, banker's rounding or round-half-to-even).

Threeperiodfuturevalueis$1,331.00.Three-period future value is \$1,331.00.