Annualised Return Calculator

An annualised return calculator converts a total investment return over any holding period into an equivalent annual rate, allowing fair comparison of investments held for different lengths of time. It is used by investors comparing portfolios, funds, and assets that have been held for periods other than exactly one year.

How to Use the Annualised Return Calculator

1. Enter the starting value (the initial investment or beginning portfolio value).
2. Enter the ending value (the current or final portfolio value).
3. Enter the holding period in years (or months, which the calculator converts).
4. Click calculate to see the annualised return as a percentage.

The Formula

Annualised return (CAGR) = ((Ending Value / Beginning Value)^(1 / Years)) - 1

This is also known as the Compound Annual Growth Rate (CAGR). Expressed as a percentage: multiply by 100.

If income distributions (dividends or interest) were received during the period, the total return version adds these back:

Total return = (Ending Value + Total Distributions - Beginning Value) / Beginning Value

Annualised total return = (1 + Total return)^(1 / Years) - 1

Real-World Example

You invested £8,000 in a fund in March 2019. In March 2024 (exactly 5 years later) the fund is worth £13,500.

• Annualised return: (£13,500 / £8,000)^(1/5) - 1
• = 1.6875^0.2 - 1
• = 1.1103 - 1
• = 0.1103 or 11.03% per year

This means the investment grew at an equivalent rate of 11.03% compounded annually. Without annualising, the raw gain of 68.75% over 5 years appears impressive but is difficult to compare with a fund that returned 40% over 3 years (which annualises to approximately 11.87% per year and therefore performed better on an annualised basis).

When to Use Annualised Returns Versus Simple Returns

Annualised returns are useful for comparing investments over different time periods. Simple (cumulative) returns are useful for understanding the total profit or loss in absolute terms. Use annualised returns when: comparing funds with different track records (3-year versus 5-year performance), evaluating an investment against a benchmark rate (such as a savings account or inflation), or assessing whether a fund manager has added value over time. Be cautious about annualising very short holding periods (less than 1 year). A return of 2% over one month annualises to approximately 26.8%, which can be misleading if the return was driven by a one-off event. For periods under a year, it is often clearer to report the simple return alongside the holding period.

Frequently Asked Questions

What is the difference between annualised return and average annual return? Annualised return (CAGR) compounds the return over the holding period, reflecting the actual growth rate that, applied each year, would produce the observed total return. Average annual return simply adds up annual returns and divides by the number of years; it does not account for compounding and typically overstates the actual growth rate when returns vary between years. Annualised return is the more accurate measure for assessing investment performance.

Does annualised return include dividends? Only if you include them in the calculation. If you use only the ending and beginning portfolio value without adding back dividends received, you are measuring capital appreciation only. For a total return figure, add all dividends and income distributions received during the period to the ending value before calculating. Most fund performance figures quote total return (capital growth plus dividends reinvested), so ensure you are comparing like for like.

What is a good annualised return on investments? Historical annualised returns on diversified equity index funds have been approximately 7 to 10% per year over long periods (before inflation). Inflation-adjusted (real) returns have been approximately 5 to 7%. Fixed-income investments typically return 2 to 5% annualised over long periods. Savings accounts and cash offer lower but guaranteed returns. The appropriate benchmark depends on the asset class, risk level, and time horizon of the investment being assessed.

How does currency affect annualised return calculations? If an investment is denominated in a foreign currency, the local return and the currency movement combine to produce the return in your home currency. A fund returning 12% in USD with a 5% USD appreciation against GBP would produce approximately 17.6% in GBP terms. Conversely, a 5% USD depreciation against GBP would turn a 12% local return into approximately 6.4% in GBP terms. When comparing international investments, always check whether returns are quoted in local currency or your home currency.

Annualising a loss and a part-year holding

The formula behaves the same way when a value falls. £10,000 reduced to £9,200 over three years is a total return of -8%, and the annualised figure is (0.92)^(1/3) - 1 = -0.0274, or -2.74% a year. Compounding cuts both ways, so the annualised loss is smaller in magnitude than the total loss for the same reason the annualised gain in the example above is smaller than 68.75%.

A holding period does not have to be a whole number of years. £5,000 growing to £7,500 over 18 months is a total return of 50%, so the calculator takes years = 1.5 and returns (1.5)^(1/1.5) - 1 = 0.3104, or 31.04% a year.

| Total return | 1 year | 2 years | 3 years | 4 years | 5 years | 10 years | | 50% | 50.00% | 22.47% | 14.47% | 10.67% | 8.45% | 4.14% |

The 2-year column is the one to remember. A 50% gain over two years annualises to 22.47%, not 25%, because dividing the total by the number of years ignores the compounding that CAGR assumes. The 5-year column puts a 50% gain at 8.45%, while the 68.75% gain in the example above annualises to 11.03%.

The chief assumption is that no money moved in or out during the period. CAGR is a single smooth rate that reproduces the two endpoints, and it says nothing about the path between them. If you paid in or drew down along the way, a money-weighted measure such as an internal rate of return answers the question better than CAGR does.

Also try these free tools related to Annualised Return Calculator: - Investment Calculator

• ROI Calculator

Extended Reference Notes

The notes below cover the broader context that informs how to use the Annualised Return Calculator well.

When to Use This Tool

Use the Annualised Return Calculator when you have the inputs to hand and want a single, reliable answer quickly. The Annualised Return Calculator fits a well-defined question where the inputs are known and the output is a number you can act on. If the problem needs scenario modelling across many changing variables, a spreadsheet or a dedicated planning tool gives you more room than the Annualised Return Calculator to compare outcomes side by side.

Input Quality

The quality of the Annualised Return Calculator output tracks the quality of the input. Confirm the starting value (the initial investment or beginning portfolio value) is in the form the Annualised Return Calculator expects: the right structure, the right units, the right encoding. Ambiguous or incomplete input produces Annualised Return Calculator output that looks precise but is not actually useful.

Output Interpretation

Read the Annualised Return Calculator output alongside the inputs that produced it, and check the units and precision shown with the result. If the Annualised Return Calculator output is a single value, the path from input to output should be clear enough to explain to someone else.

Limits and Assumptions

The Annualised Return Calculator makes simplifying assumptions to keep the calculation tractable, and the result may drift when your situation falls outside the typical case. For high-stakes use of the Annualised Return Calculator, verify the formula and the inputs against a primary source or a qualified professional.

Integrating With Your Workflow

The Annualised Return Calculator fits into a workflow best when the output feeds the next step directly. If the manual procedure is becoming a bottleneck, wrapping the Annualised Return Calculator in a repeatable process usually surfaces improvements to the tool itself.

When a More Elaborate Solution Is the Right Next Step

The right time to move beyond the Annualised Return Calculator to a more elaborate solution is when the manual procedure becomes a bottleneck, typically after the fifth or sixth repeat. Until then, the Annualised Return Calculator is faster and less error-prone than re-implementing the same process each time.

Worked examples and edge cases

A concrete example makes the mechanics of the Annualised Return Calculator clearer than any formula alone. These two Annualised Return Calculator tests reveal whether an edge-case rule is silently changing the answer in a way the main display does not surface. When the Annualised Return Calculator results disagree, the disagreement is usually in one of three places: a rounding convention, a unit assumption (is a rate being treated as annual when it should be per period), or a sign convention (is a cost entered as negative or positive).

As a final habit, record the Annualised Return Calculator inputs and the result together rather than just the result. This habit costs a few seconds and converts a one-off Annualised Return Calculator calculation into a reusable reference you can build on.