Compound Interest Formulas


Compound interest describes growth or decay when the percentage is applied each period to the previous value.

Compound growth

$$A=P\times\left(1+\frac{r}{100}\right)^{t}$$


where,

A— final value;
P— initial value;
r— periodic growth rate (percent);
t— number of periods.

Compound decay

$$A=P\times\left(1-\frac{r}{100}\right)^{t}$$


where,

A— final value;
P— initial value;
r— periodic decay rate (percent);
t— number of periods.


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