Practical guide
Understanding investment return comparison — target starting value
Everyday editorial team · GEOINNOVATION CO., LTD · Published · Updated
What this calculation is for
An annualized return turns a starting and ending value into a comparable compound rate. It is meaningful only when the cash-flow assumptions match: deposits made inside the holding period cannot simply be mistaken for investment gains.
How the method works
The ending-to-starting value ratio is raised to the reciprocal of years. Entered inflation and fee assumptions provide a simplified illustrative real-return comparison rather than an exact tax-adjusted performance measure. The displayed model uses: Annualized compound growth from beginning and ending values; subtract entered annual inflation and fees for illustrative real return.
A worked example
For an illustrative investment return comparison scenario, use Starting value: 10000 $; Ending value: 18000 $; Holding period: 8 years; Inflation assumption: 2.5 %; Estimated annual fee: 0.25 %. The modeled annualized compound return is 7.62%. These are example assumptions, not current prices, official benefit amounts or personalized advice.
Assumptions and real-world differences
A positive starting value is required. Interim deposits, withdrawals, dates and tax effects are excluded; use a cash-flow-aware return method for a portfolio with substantial external flows. Cash flows inside the period change the interpretation; this comparison is not an investment performance report.
Solving for starting value
This reverse calculation searches for a starting value that makes the model’s headline measure approach your target. Set a lower and upper search bound, leave the other assumptions consistent, and inspect the achieved result and target difference. The returned number is an input, not the original model’s output. A bounded solution can be approximate when the allowed input step rounds values.
Reproduce this tool’s example
These fixed example inputs are independent of edits you make above. Enter them in this tool to reproduce the result, then replace them with your own assumptions.
- Target: annualized compound return
- 7.62 %
- Minimum starting value
- 5,000 $
- Maximum starting value
- 15,000 $
- Ending value
- 18,000 $
- Holding period
- 8 years
- Inflation assumption
- 2.5 %
- Estimated annual fee
- 0.25 %
Required starting value: $10,000
Closest modeled result: 7.62%.
- Target headline value: 7.62
- Calculated headline value: 7.62%
- Absolute target difference: 0
Frequently asked questions
- Is this the same as money-weighted return?
- No. A money-weighted calculation incorporates the amounts and timing of intermediate cash flows.
- Which inputs should I check before using this investment return comparison estimate?
- Check starting value, ending value, holding period, inflation assumption, estimated annual fee. Match each field’s unit and time period, then compare the detailed rows rather than treating the headline alone as the complete answer.
- Why might there be no exact required starting value?
- The target may be outside the search range. Rounded outputs, whole-item counts, tax thresholds and flat responses can also prevent an exact solution. Bisection requires a monotonic response within the chosen range; do not interpret a failed search as a real-world impossibility.