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Exponential Growth and Decay — result sheet
Project discrete or continuous exponential change over time.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Discrete A = P(1+r)^t; continuous A = P*e^(r*t).
Discrete growth compounds once per period; continuous growth compounds constantly. Negative rates shrink the amount toward zero but never below it.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Starting amount — minimum 0; maximum 1000000000000
- Rate per period — %; Negative rates model decay.; minimum -100; maximum 100
- Periods — minimum 0; maximum 100000
- Compounding — 2 choices
Worked example
| Input | Value |
|---|---|
| Starting amount | 1000 |
| Rate per period | 5 |
| Periods | 10 |
| Compounding | discrete |
1628.89
Assumptions and limits
- One constant rate; no deposits or withdrawals.
- Rate -100% to 100% per period; periods nonnegative.
- Overflow is rejected, not reported as infinity.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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