Average Return Calculator.

Formula and practical context.

Variables and method

r₁, r₂, and r₃ are annual percentage returns; compounded return multiplies their growth factors. The calculation is arithmetic average = (r₁ + r₂ + r₃) ÷ 3. Arithmetic return describes the average annual observation; compounded return describes growth. Keep the labels and units together while checking the arithmetic. Record the entered values before comparing alternatives, retain extra digits until the final display, and use the result as a transparent planning value rather than an instruction. Write down the assumption that most affects this particular result, then test a conservative alternative before relying on it.

Numeric worked example

Returns of 8%, -4%, and 12% have a 5.3333% arithmetic mean. Substitute values only after confirming compatible units and signs. Work through the intermediate operation, then round the displayed answer rather than each input. Keep the labels and units together while checking the arithmetic. Record the entered values before comparing alternatives, retain extra digits until the final display, and use the result as a transparent planning value rather than an instruction. Write down the assumption that most affects this particular result, then test a conservative alternative before relying on it.

Interpret the result

For Average Return Calculator, Arithmetic return describes the average annual observation; compounded return describes growth. A mathematically correct number answers the stated question only; it does not automatically establish suitability, safety, or policy compliance. Keep the labels and units together while checking the arithmetic. Record the entered values before comparing alternatives, retain extra digits until the final display, and use the result as a transparent planning value rather than an instruction. Write down the assumption that most affects this particular result, then test a conservative alternative before relying on it.

Edge cases and validation

A loss of 100% makes a growth factor zero, so compounding is undefined afterward. Blank fields, non-finite values, and unsafe magnitudes receive an explicit message instead of a silent fallback. Keep the labels and units together while checking the arithmetic. Record the entered values before comparing alternatives, retain extra digits until the final display, and use the result as a transparent planning value rather than an instruction. Write down the assumption that most affects this particular result, then test a conservative alternative before relying on it.

Limits of this estimate

Investment results exclude fees, taxes, deposits, withdrawals, and future uncertainty. Check the governing document or qualified source before acting on a consequential result. Keep the labels and units together while checking the arithmetic. Record the entered values before comparing alternatives, retain extra digits until the final display, and use the result as a transparent planning value rather than an instruction. Write down the assumption that most affects this particular result, then test a conservative alternative before relying on it.

Check the assumptions.

Investment results exclude fees, taxes, deposits, withdrawals, and future uncertainty.