# Exponential Growth Calculator

Calculator for the exponential growth duplication time given the growth rate per period

## Exponential Growth Calculator

This function calculates the number of periods in which the initial value has multiplied n times at a given growth rate.

Alternatively, the growth rate per period needed to multiply the value in the specified time can be calculated.

Unlike the to the doubling time calculator, you can determine here by which factor the initial value should be multiplied. For example, enter 2 to double or 3 to triple, decimals are acceptable.. The growth rate per period is given in %.

Duplication Time Calculator

 What should be calculated? Duplication time periods Growth rate % per period Input Duplication factor Increase % per period Duplication time periods Decimal places 0 1 2 3 4 6 Result Duplication time periods Increase % per period

## Duplication Time Formulas

$$n$$ = duplication factor
$$t$$ = duplication time (periods)
$$g$$ = growth rate % per period (Increase)

$$\displaystyle t = \frac{log(n)}{log(1+\frac{g}{100})}$$

$$\displaystyle g=(e^{\left(\frac{ log(n)}{t}\right)}-1)\cdot 100$$