Exponential growth & decay
Exponential growth & decay: use initial value, rate per time unit, elapsed time. Review the formula, worked example and calculation steps.
Inputs
Use the units shown—
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Formula & explanation
Final = initial × (1 + rate/100)^time
Variables & units
- Initial value
- Numeric value · minimum 0, maximum 1000000000000
- Rate per time unit
- % · minimum -100, maximum 1000
- Elapsed time
- time units · minimum 0, maximum 1000000000000
Worked example
100 at 5% per period for 2 periods is 110.25.
Assumptions
Uses discrete compounding; time units must match the rate.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
Practice with an example
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