Average Return Calculator - CAGR and Mean Returns

An average return calculator compares several ways to describe investment performance without treating every percentage as the same kind of result. Enter an initial value, final value, and time period to see total return, total gain, and CAGR. You can also enter up to six annual returns to compare their arithmetic mean with the compounded geometric mean. Use it when reviewing a stock, fund, portfolio segment, or investment statement.

• • Review a stock or fund: Enter the beginning and ending values to see the investment's dollar gain and percentage change, then use CAGR to put the result on a yearly basis.
• • Compare yearly performance: Select the number of annual returns and enter each period's percentage to see the simple average beside the compounded average.
• • Explain volatility drag: Compare a volatile sequence, such as a gain followed by a loss, with its arithmetic average to see why the compounding result can be lower.
• • Check a portfolio report: Use the endpoint fields to reconcile the starting balance, ending balance, and elapsed years shown on a statement or performance report.

Use the annual-return fields for a period sequence. They create a separate series analysis and do not force those returns to reconcile to endpoint values. For irregular deposits or withdrawals, use a cash-flow method such as IRR.

If you only need the percentage change between two values and do not need a return series, Percentage Return Calculator provides the narrower endpoint comparison.

The calculator reports endpoint performance and, when supplied, a periodic-return series. The arithmetic mean gives each period equal weight; the geometric mean compounds each growth factor. CAGR annualizes the endpoint growth using the elapsed years.

• Initial investment: The starting value of the same investment being measured.
• Final value: The ending value at the measurement date; use net proceeds if you are measuring a completed sale.
• Years: Elapsed time between the endpoint values. A value of 0.5 represents six months.
• r₁ through rₙ: The selected annual or period returns entered as percentages, with -100% representing a complete loss for that period.

According to FINRA, annualized return accounts for compounding, while dividing total return by years produces a simple average that can overstate performance. The calculator therefore labels the endpoint annualized result separately from the arithmetic mean.

According to FINRA, annualized return accounts for compounding, while simply dividing total return by the number of years produces a simple average that can overstate performance.

According to U.S. Securities and Exchange Commission (Investor.gov), an annual rate of return is the profit or loss on an investment over a one-year period, and the calculation method depends on the period being measured.

For a focused compound annual growth workflow using beginning value, ending value, and time, use the CAGR Calculator.

These four concepts answer different questions about the same investment. Read the label before comparing a percentage from one method with a percentage from another.

Arithmetic and geometric averages are identical when every period return is the same. When returns vary, the geometric result reflects gains and losses on a changing balance. A 50% gain followed by a 50% loss has a 0% arithmetic mean, but the balance ends 25% below its starting point.

The geometric mean uses the annual fields, while CAGR uses initial and final values. If you enter both, check that periods, distributions, and valuation dates are consistent.

When your return analysis needs a separate treatment for transaction fees and income, the Rate Of Return Calculator provides those additional inputs.

Use statement values from the same account, asset, and measurement dates. Keep the annual-return series separate from any endpoint figures unless both describe the same total-return basis.

1. 1 Enter the initial investment: Type the value at the beginning of the period. It must be greater than zero because it is the denominator for total return.
2. 2 Enter the final value: Add the value at the end of the period or net sale proceeds. Enter zero when the investment has no remaining value.
3. 3 Enter the time period: Enter elapsed years for CAGR. Use a fraction such as 0.5 for six months or 1.5 for eighteen months.
4. 4 Choose annual return fields: Leave the selector at zero for endpoint-only analysis. Otherwise choose one to six and enter the selected period percentages, including negative returns.
5. 5 Read and compare results: Review the arithmetic mean, geometric mean, total return, annualized return, and total gain or loss. Use the difference between the means as a prompt to inspect volatility and compounding.

Suppose a fund grew from $4,000 to $4,600 in two years. This average return calculator reports a 15.00% total return, a 7.50% simple annual average, and a 7.24% CAGR when you enter those endpoint values and leave annual returns at zero. Select two fields if you also have yearly returns.

For a share-based scenario that includes buy and sell prices, share count, and commissions, use the Stock Calculator before interpreting the return.

Showing several return measures together makes it easier to match the metric to the decision instead of relying on a single attractive percentage.

• • Separates dollars from rates: Total gain or loss shows the money change, while total return and annualized return show how large that change was relative to the starting value and time.
• • Shows the compounding gap: The annual series displays arithmetic and geometric means side by side, making the effect of uneven gains and losses visible.
• • Supports different holding periods: CAGR turns endpoint growth into a yearly equivalent so a two-year holding can be compared more fairly with a five-year holding.
• • Checks performance statements: Re-enter starting value, ending value, and years to catch a mismatch between a report's stated total return and the underlying balances.
• • Tests return assumptions: Change one period or endpoint to see how much a large loss, recovery year, or longer holding period changes the reported result.

These benefits are strongest when inputs use a consistent total-return basis. If a report assumes reinvested distributions but your ending value excludes them, use a money-weighted method for irregular contributions or withdrawals.

If you want a broader investment-efficiency comparison with ROI and other performance measures, the Return on Investment Calculator is the next step.

The result changes with the data basis, the timing of returns, and the method used to summarize them. These factors explain why two reasonable-looking return percentages can differ.

• • CAGR smooths the path between the initial and final values. It does not show drawdowns, volatility, or the order of yearly returns.
• • The arithmetic mean is not a promise of future performance. It is a descriptive average or assumption, and using it as a compounded forecast can overstate the ending balance.
• • A complete loss is represented as -100%. A result based on changing contributions, withdrawals, taxes, inflation, or irregular cash-flow dates needs a more specialized return method.

FINRA cautions investors not to compare unlike assets on performance alone; also consider risk, fees, taxes, benchmark, and measurement dates.

According to NYU Stern School of Business, NYU Stern's finance materials distinguish the arithmetic average of period returns from the geometric average used to describe compounded growth across periods.

For one position's price change plus dividends or interest over a defined holding window, the Holding Period Return Calculator keeps income in the return calculation.