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Weekly Change & Compound Growth Calculator

Calculate week-to-week percentage change and a compounded weekly growth rate.

  • Formula & worked example
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Edit a calculated value to solve backwards, or lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Use the result with context

Results are estimates for planning and education. Confirm rates, taxes, fees, and legal requirements with the relevant institution or a qualified professional before making a financial decision.

Formula and method

A rise from 100 to 110 is a 10% weekly increase. Rising from 100 to 121 over two weekly intervals gives a compounded average of 10% per week.

Weekly change = final ÷ initial − 1; compound weekly rate = (final ÷ initial)^(1 ÷ weekly intervals) − 1

Worked example

Enter these known values and leave the other values blank.

Value in initial week
100
Value in following week
110
Value in first week
100
Value in final week
121
Time duration
2 wks
Week over week % change
10 %
Average weekly growth (compounded)
10 %

Assumptions and limitations

  • Count elapsed intervals. Three consecutive weekly observations span two weekly intervals. Compound growth describes a constant equivalent rate between endpoints; it is not the arithmetic average of the individual weekly changes.
  • Use consistent periods, rates and accounting definitions. These calculations describe the entered assumptions.

Common questions

Should I count observations or elapsed weekly intervals?

Count elapsed intervals. Three consecutive weekly observations span two weekly intervals. Compound growth describes a constant equivalent rate between endpoints; it is not the arithmetic average of the individual weekly changes.

References

The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.

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