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Growth Rate from Two Values Calculator

Find the constant growth rate per time period that links two values.

Inputs

Results

Growth rate per period8.447177%
Continuous growth rate0.08109302per period

Chart

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Describe what you want to find — “growth rate between two values” — and jump to the right calculator.

How to use the growth rate from two values calculator

Find the constant growth rate per time period that links two values. Enter value at time 1, value at time 2, time between measurements in the fields above; the growth rate per period, continuous growth rate are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “growth rate between two values”, “exponential growth rate from data”, “r from two points”, “calculate growth rate from two values”, “find growth rate per period”.

Formula

Growth rate per period (%) = (exp(ln(y2 / y1) / dt)-1) × 100
Continuous growth rate (per period) = ln(y2 / y1) / dt

Variables

  • y1 — Value at time 1
  • y2 — Value at time 2
  • dt — Time between measurements (periods)

Worked example

With value at time 1 = 100, value at time 2 = 150, time between measurements = 5 periods, the calculator gives growth rate per period ≈ 8.447177 %; continuous growth rate ≈ 0.08109302 per period.

Frequently asked questions

What is the growth rate from two values calculator used for?

Find the constant growth rate per time period that links two values. It helps with questions such as “growth rate between two values”, “exponential growth rate from data”, “r from two points”.

What is the formula for the growth rate from two values calculation?

Growth rate per period (%) = (exp(ln(y2 / y1) / dt)-1) × 100. Continuous growth rate (per period) = ln(y2 / y1) / dt. Here y1 is value at time 1, y2 is value at time 2, dt is time between measurements (periods).

What inputs do I need for the growth rate from two values calculator?

You need value at time 1, value at time 2, time between measurements in periods. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the growth rate from two values calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the growth rate from two values result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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