Investing
How To Calculate Investment Return
Total return measures how much an investment gained in percentage terms. Annualised return converts that into a per-year rate, which is the only fair way to compare a three-year holding with a ten-year one.
Quick Answer
Total return = (final value - initial) / initial; Annualised = (1 + total)^(1/years) - 1
- initial
- Amount invested at the start
- final
- Value at the end, including dividends
- years
- Holding period in years
- annualised
- Compound annual growth rate
Divide the gain by the amount invested to get total return, then raise one plus that figure to the power of one over the number of years for the annualised rate. Turning 10,000 into 16,105 over five years is a 61.05% total return and a 10% annualised return.
What Is Investment Return?
Total return is the percentage gain or loss on an investment over its holding period, calculated as the change in value divided by the original amount. It captures price movement and any income received, provided the income is included in the final value.
Annualised return, also called the compound annual growth rate, restates that total as a steady per-year rate. It answers the question of what constant annual return would have produced the same end value, which makes investments of different durations comparable.
The annualised figure uses the geometric mean, not the arithmetic average. A fund that rises 50% one year and falls 50% the next has an arithmetic average of zero but a geometric return of negative 13.4%, because the 50% loss is applied to a larger balance.
That difference matters enormously. Arithmetic averages flatter volatile investments, while the geometric, compounded return is what an investor actually experiences. Any comparison should use the annualised, compounded figure.
Total return should include income, not just price change. Dividends, interest and distributions all contribute, and an investment's total return can be positive even when its price is flat. Ignoring income understates the return on dividend-paying holdings.
Fees reduce the return you keep. An expense ratio, a platform charge or an adviser fee comes out of the gross return every year, and the drag compounds. A fund returning 8% gross with a 1% fee returns 7% net to the investor.
Taxes further reduce the net return, and the timing of the tax matters. Realised gains and dividends are taxed as they occur, while unrealised gains are not taxed until sold. That is why holding period and account type affect the after-tax outcome.
The money-weighted return differs from the time-weighted return when contributions and withdrawals occur. A large contribution just before a fall drags the money-weighted return below the time-weighted figure, even though the underlying investment performed identically.
Comparing an investment with a benchmark only makes sense if both are measured the same way over the same period, with income included. Comparing a total return on one side with a price return on the other is a common and misleading error.
A short holding period produces an unreliable annualised figure. Converting a one-month gain into an annual rate extrapolates far beyond what the data supports and can show absurd numbers. Treat annualised figures from short periods with caution.
Real return subtracts inflation to show the change in purchasing power. A nominal annualised return of 7% with 3% inflation is a real return of about 3.88%, which is the figure that matters for long-term planning.
The most useful comparison is risk-adjusted. Two investments with the same annualised return are not equal if one swung wildly to get there. Volatility, drawdown and the investor's ability to stay invested all affect whether the return is realistically achievable.
Formula
Total = (final - initial) / initial
The percentage gain over the whole holding period.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| I | Initial value | currency | Amount invested at the start. |
| F | Final value | currency | Value at the end, including income. |
Annualised = (final / initial)^(1/years) - 1
The constant annual rate that produces the same end value.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| t | Years | count | Holding period in years. |
How To Calculate Investment Return
- 1
Record the initial amount
Use the total you invested, including any fees paid to acquire the position.
- 2
Record the final value
Include the market value plus any dividends, interest or distributions received along the way. Total return requires income.
- 3
Compute the total return
Subtract the initial amount from the final value and divide by the initial amount. A gain of 6,105 on 10,000 is 61.05%.
- 4
Annualise it
Divide the final by the initial, raise to the power of one over the years, and subtract one. Over five years, 1.6105 to the power of 0.2 gives 10%.
- 5
Compare with alternatives
Use the annualised figure to compare against a benchmark or another investment over a different holding period.
Examples
Example 1: 10,000 grows to 16,105 over five years
- Initial value
- 10,000
- Final value
- 16,105
- Years
- 5
| Step | Calculation | Result |
|---|---|---|
| Total gain | 16105 - 10000 | 6,105 |
| Total return | 6105 / 10000 | 61.05% |
| Annualised return | (16105 / 10000)^(1/5) - 1 | 10.00% |
Result: The total return is 61.05% and the annualised return is 10.00% a year over the five-year holding period.
Example 2: 12,000 falls to 9,000 over three years
- Initial value
- 12,000
- Final value
- 9,000
- Years
- 3
| Step | Calculation | Result |
|---|---|---|
| Total loss | 9000 - 12000 | -3,000 |
| Total return | -3000 / 12000 | -25.00% |
| Annualised return | (9000 / 12000)^(1/3) - 1 | -9.14% |
Result: The total return is -25.00% and the annualised return is -9.14% a year, both negative over the three-year period.
Calculator
Total return
6105.00%
- Annualised return
- 999.99%
- Total gain
- $6,105.00
Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.
Prefer a full-width tool? Open the Investment Return calculator page.
Common Mistakes
Ignoring dividends and income
Total return includes income. Using only the price change understates the return on dividend-paying investments and can make a profitable holding look flat.
Using the arithmetic average instead of the geometric
Averages flatter volatile investments. A 50% gain followed by a 50% loss averages zero but actually loses 13.4%. Use the compounded annualised figure.
Annualising very short periods
Extrapolating a one-month gain to a full-year rate produces meaningless numbers. Reserve annualised figures for holding periods of at least a year.
Comparing gross returns with net
Fees and taxes reduce what you keep. Compare after-fee figures, or the comparison favours the more expensive option.
Mixing total return with price return
Comparing a total return against a benchmark's price return is misleading. Both sides must be measured the same way, over the same period.
Forgetting about the timing of cash flows
Contributions and withdrawals change the money-weighted return. A poorly timed deposit can drag the reported return below the actual investment performance.
Neglecting inflation
A nominal return that trails inflation is a real loss. Compute the real return when the goal is preserving or growing purchasing power.
FAQ
What is the difference between total return and annualised return?
Total return is the percentage gain over the whole holding period. Annualised return restates it as a steady per-year rate, which lets you compare investments held for different lengths of time.
Should total return include dividends?
Yes. Total return measures everything the investment produced, including dividends, interest and distributions. A price-only figure understates the return on income-paying assets.
Why is the annualised return lower than the average?
Because it uses the geometric mean, which accounts for compounding. The arithmetic average overstates the return on a volatile investment, since it ignores the order and magnitude of gains and losses.
How do I annualise a return held for less than a year?
Technically you can, but the result is unreliable. A short period does not contain enough information to project a full-year rate, so treat such figures as illustrative only.
What is a good annualised return?
Historically, diversified equity portfolios have averaged around 7% a year after inflation over long periods, but returns vary widely and past performance does not guarantee future results.
Does this calculation account for fees?
Not automatically. Use the final value after fees and taxes have been deducted, so the return you compute reflects what you actually keep rather than a gross figure.
References
- [1]Investopedia, Compound annual growth rate — https://www.investopedia.com/terms/c/cagr.asp
- [2]Investor.gov, U.S. Securities and Exchange Commission, Investment performance — https://www.investor.gov/introduction-investing/investing-basics
- [3]Investor.gov, Mutual fund and ETF fees — https://www.investor.gov/introduction-investing/investing-basics/glossary