The quick answer
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An arithmetic average describes a set of annual returns. Compound annual growth describes the rate that links starting and ending values without external cash flows. They answer different questions and should not be swapped in a projection.
Ask what the word average is averaging
A fund page, investment article or spreadsheet might describe an average annual return without immediately showing the method. An arithmetic average adds the annual returns and divides by the number of years. A compound annual growth rate asks what constant rate would connect an opening amount with an ending amount over the period, assuming no external deposits or withdrawals.
Neither definition is mysterious once its question is clear. Trouble starts when the first number is entered into a calculator as if it were the second. A smooth projection compounds a repeated growth assumption, so it can produce an ending balance quite unlike a volatile history with the same arithmetic average. Name the calculation before debating whether its percentage looks high or low.
A gain and an equal percentage loss do not cancel
Start with a fictional $10,000, with no deposits, withdrawals, taxes or fees. A 20% gain takes it to $12,000. A subsequent 20% loss takes it to $9,600 because the loss is calculated on $12,000. The arithmetic average of plus 20% and minus 20% is zero, yet the ending value is 4% below the start.
The constant annual rate connecting $10,000 to $9,600 over two years is about minus 2.02%. That comes from the square root of 0.96, minus one. The example is not a prediction of market behaviour. It is a demonstration that percentage returns act on changing bases. Adding the percentages can hide the dollar outcome even when every individual annual number has been recorded correctly.
CAGR is a linking rate, not an experience
For a positive starting and ending value with no external cash flows, the formula is ending value divided by starting value, raised to one divided by years, then minus one. A fictional $10,000 becoming $12,100 in two years gives 10% compound annual growth because $10,000 multiplied by 1.1 twice equals $12,100.
The actual path could have been smooth or highly uneven. CAGR does not tell you the worst fall, how long recovery took or whether you could tolerate the experience. It also does not mean the investment paid 10% cash income each year. Price changes and reinvested income can both contribute to a total-return figure. Keep a return-method label, date range and income treatment beside any percentage copied into a planning worksheet.
Deposits can make the simple formula wrong
Suppose a fictional account begins at $10,000, receives a $5,000 deposit at the end of the year and finishes at $15,000. A naive ending-divided-by-starting calculation suggests a 50% gain. In this example there was no investment gain at all; the additional money came from the investor.
A return calculation with external flows must account for those flows and their timing. Money-weighted and time-weighted methods answer different questions, and a provider should explain which method appears on its report. Do not remove every deposit from the final balance and assume timing no longer matters. A contribution made early has a different exposure period from one made on the final day. Keep dated cash flows before interpreting the account's displayed performance.
Compare total return on the same basis
An investment that pays a distribution can have a different price-only result from its total return. If a chart assumes reinvestment, adding the distribution again exaggerates growth. If another chart excludes income, comparing the two percentages directly can make one investment look weaker for a purely presentational reason.
MoneySmart's tracking guidance encourages reviewing changes in value, income and costs together. For a practical comparison, write down whether returns include distributions, which fees have been deducted, whether personal tax is excluded and which currency is used. Match the period exactly. A financial-year return is not interchangeable with a calendar-year return, and a cumulative five-year gain is not an annual rate merely because a percentage symbol appears after it.
A higher average can coexist with a worse ending balance
Consider two fictional two-year paths. Path A earns 10% each year and turns $10,000 into $12,100. Path B earns 40% then loses 10%, finishing at $12,600. Here Path B has both a higher arithmetic average and a higher ending balance. Now change Path B to plus 50% and minus 20%: its arithmetic average is 15%, but it ends at $12,000, below Path A.
These examples show why one summary statistic is not the full story. They do not prove that a particular asset or strategy is preferable. Volatility, loss capacity, time horizon and the role of the money still matter. An investment decision should not be reverse engineered from whichever average makes an optimistic retirement date appear most convincing.
Choose projection inputs without turning history into a promise
The Elaris Freedom Clock uses stated return assumptions to construct scenarios. It does not estimate the probability of future returns from a historical average or reproduce every market sequence. A number that correctly describes a past period is not automatically a defensible forecast for several future decades.
Use lower, central and higher assumptions only as transparent scenarios, not as confidence intervals unless an appropriate probability model supports them. Keep fees, inflation and personal tax treatment consistent with the input labels. If a return is already net of a cost, do not subtract that cost again elsewhere. Record why you chose each assumption and what decision the scenario is meant to inform, so a later review can challenge the inputs rather than only admire the chart.
Sources: Moneysmart: compound-interest mechanics · ASX: investing in shares, benefits and risks
A short return-quality checklist
Before using a percentage, find the start and end dates, calculation method, treatment of external cash flows, income reinvestment, fees, tax and currency. Ask the provider for a worked explanation if the reported figure cannot be reconciled with your account. Retain the original report rather than a cropped number with all the definitions removed.
Then ask what the return cannot tell you. It does not establish future access to cash, the safety of a withdrawal rate or the suitability of the underlying investment. A portfolio can report a positive long-run growth rate while experiencing a fall at a difficult time. Use the return statistic for the question it answers and examine spending resilience separately. That separation makes a projection less dramatic but considerably easier to trust.
A recovery percentage uses the lower base
A fictional $10,000 investment that falls 25% is worth $7,500. Returning to $10,000 requires a $2,500 gain, or 33.33% of the reduced balance. Saying it only needs another 25% would leave the calculation short: $7,500 multiplied by 1.25 is $9,375.
This asymmetry is another reason to keep dollar balances beside percentages. It does not mean a lost amount is certain to recover or that averaging down is appropriate. Recovery time depends on future outcomes, contributions and withdrawals. A chart drawn back to the starting value is a scenario, not a promise. Use the example to check the mathematics of a claim before considering whether its investment assumptions are justified.
FAQ: Why is plus 20% then minus 20% a loss?
The second percentage applies to the larger balance after the gain. $10,000 becomes $12,000, and 20% of $12,000 is $2,400. The final balance is $9,600. Percentages applied to different bases do not cancel simply because their numerical values match.
FAQ: Is CAGR the cash yield I receive?
No. CAGR links values over time under specified cash-flow assumptions. It can include price growth and reinvested income, depending on the data. Cash distributions are a separate part of the record. A 7% growth rate does not imply a dependable 7% annual cash payment.
FAQ: Can I calculate return from my opening and closing balances?
Not reliably when deposits or withdrawals occur. You need their amounts and dates, and an appropriate return method. An account can grow entirely through contributions. Ask whether a provider uses time-weighted or money-weighted performance and what fees or income it includes.
FAQ: Should I enter a historical average in the Freedom Clock?
Only after understanding what the figure measures and recognising that history is not a forecast. Use explicit assumptions with consistent fees, inflation and tax treatment. The tool models scenarios; it does not validate an investment's future return or guarantee a work-optional date.
Put the next step into practice
Use your own confirmed figures and keep outstanding questions visible. Core tools are free, with no bank connection or compulsory account.
Open the Freedom Clock ↗Sources and editorial notes
Sources checked 25 October 2026. Worked examples are fictional illustrations. Rules, eligibility and product terms can change; use the official source for your circumstances.
- Moneysmart: compound-interest mechanics ↗
- Moneysmart: tracking investment performance ↗
- ASX: investing in shares, benefits and risks ↗
General information, not an individual financial or legal assessment. AI-assisted drafting with source checks; independent professional review has not been completed. How we prepare our guides · Suggest a correction