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Average Return Calculator

Enter up to 20 yearly returns to see the simple average, cumulative return, average per year, and the single equivalent CAGR-style rate.

Results

Simple average return: 1.40%
Cumulative return: 30.20%
Average per year (cumulative ÷ years): 1.51%
Equivalent single rate (CAGR-like): 1.33%

Overview

Investment performance is rarely a straight line—some years are up, some years are down. When you look at a series of yearly returns, the arithmetic average (simple average) is easy to compute but can be misleading about actual growth, especially when volatility is high. This average return calculator lets you enter up to 20 annual returns and then shows the simple average, total cumulative return, a non‑compounded per‑year average, and an equivalent single compound rate (CAGR‑style) that would get you to the same cumulative result.

In practice, the simple average can overstate long‑term growth because it ignores how losses hit a larger starting balance than later gains. A −40% year followed by a +40% year does not get you back to even, and sequences with big drawdowns often end up with much lower compounded growth than their arithmetic averages suggest. By pairing the simple average with cumulative return and an equivalent single compound rate, this calculator makes that gap visible so you can see and explain “volatility drag” instead of being surprised by it.

You can treat the simple average as a quick headline number and the equivalent single rate as a more realistic planning rate for long‑term projections, retirement modeling, or goal tracking. That combination helps you keep expectations grounded, compare strategies on a like‑for‑like basis, and choose inputs for other calculators that better reflect what a bumpy return path might actually deliver over time.

How to use this calculator

Enter up to 20 annual returns in the Year 1–Year 20 fields, using negative percentages for down years (for example, −15 for a −15% year).
Leave unused years blank; the calculator will only use the rows with values.
Review the simple average return to see the arithmetic mean of your yearly results.
Check the cumulative return to understand the overall gain or loss across the entire period.
Compare the cumulative average per year and the equivalent single rate (CAGR‑style) to see how volatility affects actual growth versus simple averages.
Use the results to evaluate and compare portfolios, strategies, or historical periods.

Inputs explained

Year returns: Annual returns expressed as percentages, such as 10 for +10% or −5 for a −5% year. Enter one value per year; leave unused fields blank if you have fewer than 20 years.

Outputs explained

Simple average return: The arithmetic mean of the yearly returns: the sum of the annual percentages divided by the number of years entered. It is easy to compute but does not reflect compounding.
Cumulative return: The total gain or loss across the entire period, expressed as a percentage. It is based on multiplying (1 + r₁) × (1 + r₂) × … × (1 + rₙ) and then subtracting 1. A value of 50% means your investment grew to 1.5× its starting value over the period.
Average per year (cumulative ÷ years): A simple "per‑year" average derived by taking cumulative return and dividing by the number of years. This is not compounded but can be useful for rough, non‑compounding comparisons.
Equivalent single rate (CAGR-like): The compound annual growth rate that would produce the same cumulative return if earned every year. This is often more meaningful than the simple average for long‑term planning and portfolio comparisons.

How it works

You enter annual returns as percentages (positive or negative). The calculator ignores blank years so you can enter just as many as you need.

It converts each percentage to a decimal factor (for example, +10% → 1.10, −5% → 0.95) and multiplies them together to find the cumulative growth factor over the full period.

Cumulative return (as a percentage) is then cumulativeFactor − 1, representing the total gain or loss across all years combined.

The simple average return is the arithmetic mean of the yearly percentages: sum of annual returns divided by the number of years.

The cumulative average per year is a basic per‑year average of the cumulative percentage: cumulative return ÷ years (not compounded).

The equivalent single rate (CAGR‑style) is the compound rate that would produce the same cumulative growth if it were earned every year: (1 + cumulative return)^(1/years) − 1.

When to use it

Comparing the simple average of historical returns to the actual compounded growth rate of a portfolio or index.
Demonstrating how volatility and negative years can drag down compounded growth even when the arithmetic average looks attractive.
Summarizing a series of annual returns into a single equivalent rate for use in financial models and performance reports.
Analyzing how different return sequences (order of gains and losses) affect long‑term outcomes even when averages are similar.
Stress‑testing a backtest or model by trying alternative sequences of returns to see how sensitive long‑term growth is to the order of gains and losses.
Teaching clients, students, or teammates why a simple average can be misleading in the presence of drawdowns, and why CAGR‑style measures are more realistic for planning.

Tips & cautions

Remember that the simple average return can overstate expected growth in volatile markets; the CAGR-like equivalent rate is usually a better guide for long-term expectations.
Include negative years as well as positive ones to see the impact of drawdowns on overall performance and compounded growth.
Use the equivalent single rate when comparing different investments or strategies over the same time horizon.
For portfolios with contributions and withdrawals, this calculator simplifies reality; money‑weighted returns (IRR) consider cash flows explicitly.
Assumes all returns are realized sequentially with full reinvestment and no contributions or withdrawals; actual investor experience may differ if cash flows occur during the period.
Ignores taxes, fees, and transaction costs, which reduce realized returns.
Does not compute money‑weighted returns like IRR/XIRR, which are more appropriate when cash flows are significant.
Outputs are for illustrative purposes and should not be treated as forecasts or investment advice.

Worked examples

Example: volatile 5-year investment

Suppose a portfolio has annual returns of +20%, −10%, +15%, −5%, and +12% over five years.
Enter each of these returns in the Year 1–Year 5 fields and leave the remaining years blank.
The simple average is (20 − 10 + 15 − 5 + 12) ÷ 5 = 6.4%, which suggests modest growth at first glance.
However, the calculator also shows the actual cumulative return and equivalent compound rate, which come in below 6.4% because the down years hit a different starting balance than the up years.

Example: same average, different growth

Imagine Portfolio A earns +10%, +10%, +10%, +10%, +10%, while Portfolio B earns +30%, −10%, +25%, −5%, +10% over the same five years.
Both series have the same simple average return of 10%, but their year‑by‑year paths are very different.
Enter each series into the calculator and compare the cumulative return and equivalent single rate for A vs B.
You will see that the more volatile Portfolio B typically ends up with a lower compounded growth rate, even though the arithmetic average is identical, illustrating volatility drag.

Deep dive

This average return calculator shows how arithmetic averages can differ from real compounded growth. Enter up to 20 annual returns to see the simple average, total cumulative return, a per‑year cumulative average, and an equivalent single CAGR‑style rate that would produce the same outcome.

Use it to analyze historical performance, explain volatility drag to clients or teammates, and choose a more realistic rate of return when modeling long‑term portfolio growth.

Financial planners, DIY investors, and data‑driven savers can use the tool as a quick bridge between messy yearly performance tables and the single CAGR‑style rates they need for projections, risk discussions, or investment policy statements.

The calculator is especially helpful when comparing funds, robo‑advisor portfolios, or retirement strategies that report performance differently, because it standardizes the story into simple averages, total cumulative return, and one intuitive equivalent annual rate.

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