# Algebra - Compound interest formulas

Future value : A
Initial deposit : C
Annual rate of interest : r
Number of years invested : t
Number of times compounded per year : n

1. General compound interest formula
$A=C (1+ {r \over n} )^{nt}$
2. Simplified Compound interest formula
if interest is compounded once per year, then the previous formula simplifies to :
$A=C(1+r)^t \,.$
3. Continuous compound interest
if interest is compounded continually  $( n \to \infty )$ , then
$A=Ce^{rt} \,.$