Growth/decay Percentage Calculator

Introduction

Calculating the growth or decay of a value over time is a common task in various fields such as finance, science, and economics. The Growth/Decay Percentage Calculator simplifies this process, providing a quick and accurate way to determine the future value based on the initial value, growth or decay rate, and time.

How to Use

Enter the initial value in the “Initial Value” field.
Input the growth or decay rate as a percentage in the “Rate of Growth/Decay (%)” field.
Specify the time in periods in the “Time (in periods)” field.
Click the “Calculate” button to obtain the result.

Formula

The formula used in the calculator is based on the exponential growth/decay formula: $P (t) = P_{0} \times e^{r t}$ Where:

$P (t)$ is the future value.
$P_{0}$ is the initial value.
$r$ is the growth or decay rate per period (as a decimal).
$t$ is the time in periods.

Example

Suppose you have an initial value of $1000, a growth rate of 5%, and a time period of 3 years. $P (t) = 1000 \times e^{(0.05 \times 3)}$ $P (t) \approx 1153.63$

FAQ’s

Q: Can I use negative values for decay?

A: Yes, for decay, simply input a negative growth rate.

Q: What units should I use for time?

A: The time should be entered in the same units as the growth or decay rate periods (e.g., years, months, days).

Conclusion

The Growth/Decay Percentage Calculator simplifies complex exponential growth and decay calculations. It is a valuable tool for anyone needing quick and accurate future value estimates based on initial conditions.