When to use this calculator
Find the continuous exponential rate linking two positive amounts. This is a continuously compounded rate, not an effective per-period percentage.
Explore the algebra & number calculators for other questions in this topic. For a related calculation, use the Decimal to Binary Calculator: Convert a non-negative decimal integer to binary notation.
PUTTING IT INTO PRACTICE
Continuous Growth Rate: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Starting amount | 100 |
| Ending amount | 200 |
| Elapsed periods | 2 |
| Result | 34.657359 % per period |
- Check the input labels and enter the example values above.
- Apply the relationship: Continuous rate (%) = ln(ending/start)/periods × 100.
- The result is 34.657359 % per period, rounded for display.
How to interpret your result
This is a continuously compounded rate, not an effective per-period percentage.
Identify whether the question asks for one term, a total or a count of possible selections. Sequences use a fixed difference or ratio. In counting problems, order and replacement determine the correct model.
Frequently asked questions
Do combinations and permutations count the same thing?
No. Combinations ignore the order of selection; permutations count different orders separately.
When is the continuous growth rate calculator useful?
Find the continuous exponential rate linking two positive amounts. This is a continuously compounded rate, not an effective per-period percentage.
How do I use the continuous growth rate calculator?
Enter starting amount, ending amount, elapsed periods. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Continuous rate (%) = ln(ending/start)/periods × 100.
What should I check before using the result?
This is a continuously compounded rate, not an effective per-period percentage.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
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