Rare Earth Return Calculator
The formula
What the rare earth return tells you
Exactly what rare earth return earned: total return, the annualised CAGR that makes it comparable, and the split between price gain and income.
Calculation: Total return = (sell + income − buy) ÷ buy; CAGR = ((sell + income) ÷ buy)^(1/years) − 1. Enter your inputs and every substitution is shown below the result.
Reading the result
Compare with the boring alternative over the same window — the verdict bands anchor to long-run market returns; income-heavy gains are usually steadier than price-only ones.
Rules of thumb: Long-run real equity return sits near 6–7 % nominal CAGR plus inflation; bonds run 2–4 points lower.
Limitations and best practice
Ignoring the timing of income (reinvested vs spent) can overstate a CAGR by a few tenths; dividends spent as cash belong outside the ending value.
This calculator gives an estimate based on standard formulas; it is not professional financial, medical, legal or engineering advice. Verify anything you plan to act on with a qualified professional and your own records.
Frequently asked questions
Why does CAGR differ from average yearly return?
Are taxes included?
Source & methodology
Time-weighted return arithmetic per CFA Institute conventions.
Rare Earth Return: the number, the method and the caveats
Capital decisions deserve better than a gut feeling — this page gives you the arithmetic to defend one. Searchers land on a Rare Earth Return page for three reasons — to plan, to compare options, and to check that somebody else’s arithmetic is honest. This tool serves all three, and everything after the calculator explains the model instead of hiding it.
Most confusion about Rare Earth Return comes from mixing up the input you control with the input you merely observe. The formula treats them identically, but your decisions should not: one deserves measurement, the other deserves a defensible estimate.
The number itself is the easy part. What takes judgement is knowing which inputs are facts in your situation and which are guesses wearing a decimal point — a distinction this page makes explicit for every field above.
Nothing below is stock text pasted around a number: the worked example computes total return = 13.51% from this tool’s own defaults, and the sensitivity section ranks the inputs that move the result — Buy price / invested first, at ≈93.4 % of the headline for a ten-percent error either way in that input. Work down the page and by the end you could re-derive the result in a spreadsheet from memory.
The Rare Earth Return formula, explained
One formula, published in full: Total return = (sell + income − buy) ÷ buy; CAGR = ((sell + income) ÷ buy)^(1/years) − 1. Anything you can read, you can reproduce in a spreadsheet, and that reproducibility is the whole point of printing it rather than hiding it behind a button.
Buy price / invested ($) (example value 15,250) is a quantity rather than a category — precision here is cheap and worth having. If your source quotes a figure before and after some deduction, decide which one the formula wants and be consistent for every field.
Sell price / value now ($) (example value 16,500) is a plain measured quantity — the unit shown in the label is the unit the formula expects. Use the figure exactly as the source document states it, not a rounded memory of it — an omitted line is the classic silent error.
Holding period (years) (example value 3) is a quantity rather than a category — precision here is cheap and worth having. Use the value as of today, not as of the last time you looked — time fields drift silently.
Income received over the hold ($) (example value 810) is a measured number in the unit named by the label; the formula does not convert for you. If your source quotes a figure before and after some deduction, decide which one the formula wants and be consistent for every field.
The default Rare Earth Return calculation, written out in full
Rather than describe the calculation, here it is end to end — every substitution in order, starting from the inputs above. Starting figures: Buy price / invested ($), Sell price / value now ($), Holding period (years), Income received over the hold ($). Run to the end, the total return resolves to 13.51% — Modest gain — check it after inflation and costs on the bands this tool uses.
- Ending value incl. income = $16,500.00 + $810.00 = $17,310.00
- Total return = (17,310.00 − 15,250.00) ÷ 15,250.00 = 13.51 %
- CAGR = (17,310.00 ÷ 15,250.00)^(1/3.0) − 1 = 4.31 % a year
Annualised (CAGR) — 4.31%. This is the number experienced users quote when the headline alone would mislead.
Net profit — $2,060.00. Read next to the headline, this is the figure that shows the shape of the trade-off.
Value multiple — 1.14 ×. This is the number experienced users quote when the headline alone would mislead.
Income share of gain — 39.3%. Read next to the headline, this is the figure that shows the shape of the trade-off.
Re-running with your own figures is instant; re-running by hand once is the best way to know the tool is telling you the truth.
Scenario table: Rare Earth Return at ±10 % and ±20 % of the key input
The honest version of any estimate is a corridor, and this one is cheap to produce: Rare Earth Return was recomputed at 5 points along the dominant input, with every other field left untouched.
| Buy price / invested setting | Total return |
|---|---|
| 80 % of the example value | 41.89% |
| 90 % of the example value | 26.12% |
| example inputs | 13.51% |
| 110 % of the example value | 3.19% |
| 120 % of the example value | -5.41% |
Across 5 settings of Buy price / invested, the result spans -5.41% to 41.89%. A decision that only works at one row of this table is a decision waiting for an input to move. Reproduce it in the form above by editing Buy price / invested alone; the substitution steps will follow your figures exactly.
What actually moves your Rare Earth Return
Generic advice says “it depends on your inputs”; this section says exactly how much. Each field was perturbed by ±10 % in isolation and the total return recomputed, so the ranking below is measured rather than asserted. Read it as a map of where Rare Earth Return is fragile — drawn for the example inputs, which is the map you want when deciding what to measure carefully.
- Buy price / invested +10 % → Rare Earth Return = 3.19% · −10 % → 26.12% (the total return shifts ≈93.4 %)
- Sell price / value now: ten percent up gives 24.33%, ten percent down gives 2.69% — ≈80.1 % of the total return either way
- Income received over the hold +10 % → Rare Earth Return = 14.04% · −10 % → 12.98% (the total return shifts ≈3.9 %)
Buy price / invested is the dominant lever here: ten percent either way moves the result by about 93.4 %, from 3.19% to 26.12%. Measure that input from a document rather than from memory, and treat Sell price / value now as the second priority (≈80.1 % per ten percent). The rest of the inputs earn only a rounding-error of attention, and that asymmetry is the practical payoff of measuring rather than asserting.
Interpreting the Rare Earth Return verdict
The value above only becomes useful the moment you know what it is being measured against. The verdict attached to the default calculation — “Modest gain — check it after inflation and costs” — is one band on a ladder your own figure may sit somewhere else on. How much of that band is luck? On Buy price / invested alone ten percent either way covers 3.19% to 26.12%. The practical reading rules: compare against your own history before comparing against other people; treat band boundaries as zones, not walls — one point on the wrong side of a threshold rarely changes a real outcome; and when a companion output contradicts the headline, believe the pair.
Compared with charting sites, this page explains the formula rather than hiding it — the goal is a number you can defend in a meeting, not just display.
The errors that quietly break a Rare Earth Return figure
Ignoring the timing of income (reinvested vs spent) can overstate a CAGR by a few tenths; dividends spent as cash belong outside the ending value. This calculator gives an estimate based on standard formulas; it is not professional financial, medical, legal or engineering advice. Verify anything you plan to act on with a qualified professional and your own records.
Chasing one metric. Rare Earth Return needs its pair (Annualised (CAGR)) the way a speedometer needs fuel pressure — one number alone has burned more portfolios than bad markets.
This model has its own particular trap: Buy price / invested carries ≈93.4 % of the response per ten percent of error, so effort spent elsewhere is largely decorative.
A final trap is presentation: reporting Rare Earth Return to more decimal places than the inputs support. The tool prints what the arithmetic gives; you should quote only what your least precise field justifies.
Rare Earth Return verification checklist
- Check that every field the formula needs actually arrived from a document, not from recollection.
- Re-run the calculation with a ±10 % stress on the two most sensitive inputs.
- Re-verify Buy price / invested against a source document — ten percent of error there moves the headline by ≈93.4 %.
- Compare the result with one independent method or published benchmark.
- State, in one sentence, which convention each rate, unit or period in the form is using.
- Run the ±10 % stress on the top two levers and check that your conclusion survives both.
Five steps from raw inputs to a figure you can defend
The tool does the arithmetic; the routine below is what makes the arithmetic trustworthy. Five steps, a minute total — and afterwards you will know not just what the number is, but which assumption produced it.
Step 1 — gather before you type. Rare Earth Return depends on buy price / invested ($), sell price / value now ($), holding period (years), income received over the hold ($). Collect them from a source document — a statement, a report, an invoice, a log — rather than from memory, because recalled inputs are the single largest cause of wrong results. Note the assumption you are least sure about; that is where the real risk lives.
Step 2 — start from the case you can defend. Enter pessimistic-but-honest figures first; the optimistic run is a ceiling, not a plan. A conclusion that holds on conservative inputs holds everywhere. The fastest sanity test is to guess the answer first and see how far the calculation disagrees.
Step 3 — play with the inputs on purpose. Ten percent up, ten percent down, one field at a time. Within a few minutes you will know this calculation better than most people who quote its results. Estimates improve most when the worst case is written down in ink.
Step 4 — run the scenario trio. Expected, pessimistic, optimistic. The gap between pessimistic and expected is the number to plan against; the optimistic result is useful only as a ceiling. Comparisons are cheap: run the identical calculation for the alternative and look at the gap.
Step 5 — record the context, not just the number. Note today’s date and the inputs alongside the 13.51% output. Six months from now the context is what turns this figure into a trend. Rounding early is the quietest way to introduce a permanent error.
Where Rare Earth Return matters in practice
Investing & Markets arguments end at arithmetic or they do not end. Rare Earth Return is the arithmetic: 13.51% on the example inputs, reproducible by anyone who types the same numbers. Numbers are cheap to produce and expensive to retract; the extra minute is the cheapest insurance available.
Professionals in Alternative Investments use this style of calculation as a screening filter before spending real money or effort: a quick Rare Earth Return check eliminates weak options in minutes, and the survivors earn the deeper, slower analysis. A figure nobody can reproduce is a figure nobody will act on twice.
Treat Rare Earth Return like a smoke alarm rather than a painting — its value is in being tested periodically, not in being admired once. Say the answer out loud before you save it; if it sounds wrong, the model did not change, your understanding did.
Quick answers: what searchers ask about Rare Earth Return
What affects Rare Earth Return the most?
Rare Earth Return is driven above all by Buy price / invested. Perturbing only that field by ten percent either way produced 3.19% against the 13.51% baseline — a ≈93.4 % response, while Sell price / value now manages ≈80.1 %.
Which matters more: sell price / value now or buy price / invested?
By the numbers, Buy price / invested: a ten-percent change in it moves the result ≈93.4 %, versus ≈80.1 % for Sell price / value now. Spend your measuring effort in that order — precision on the weaker lever buys almost nothing.
What is a typical Rare Earth Return?
There is no honest universal average for Rare Earth Return, but there is a reference point: the defaults on this page produce 13.51% (Modest gain — check it after inflation and costs). Replace the inputs with your own and compare — that comparison is the useful meaning of “typical”.
How do I calculate Rare Earth Return by hand?
Use the stated model — Total return = (sell + income − buy) ÷ buy; CAGR = ((sell + income) ÷ buy)^(1/years) − 1 — and substitute in the order the tool prints (it starts from Ending value incl. income = $16,500.00 + $810.00 = $17,310.00). On the example inputs the hand route lands on 13.51%, exactly what the calculator shows. A spreadsheet reproduces it in two or three cells; doing it once by hand is what makes the automated answer trustworthy.
What happens to Rare Earth Return if buy price / invested changes by 10 %?
On these inputs a ±10 % change in buy price / invested takes Rare Earth Return to 3.19% against the 13.51% example — around 93.4 % of the headline. The same test on every other field is in the sensitivity section.
Is the Rare Earth Return result of 13.51% good or bad?
Good and bad are comparisons, so the honest test is three questions: where does your own Rare Earth Return sit against the 13.51% reference above, how far would a plausible input error move it (≈93.4 % per ten percent on Buy price / invested), and what does the alternative option compute to?
Can Rare Earth Return be negative or empty?
Yes, and that is informative rather than broken: a negative Rare Earth Return usually means the inputs encode an outflow or a shortfall, and the verdict band above labels exactly that situation instead of hiding it.
How do I calculate Rare Earth Return manually?
Write down the inputs, then follow the printed steps in order — Total return = (sell + income − buy) ÷ buy; CAGR = ((sell + income) ÷ buy)^(1/years) − 1. A spreadsheet replicates it with two or three cells. The manual route is worth doing once to build intuition; after that the calculator saves time and eliminates transcription slips.
Why does CAGR differ from average yearly return?
CAGR compounds — it is the single steady rate that turns the start into the end, while arithmetic averages flatter volatile paths.
Are taxes included?
No, this is the pre-tax picture; subtract tax drag on gains and income before comparing with a tax-sheltered alternative.
Is my data private on this page?
Yes — computation happens locally in your browser, with no account, no tracking of your inputs and nothing sent to a server. The printed formula is the whole story of what happens to your figures.
The vocabulary of Rare Earth Return
- Annualised (CAGR)
- 4.31% on the example inputs — a companion figure printed beside the headline of Rare Earth Return so that no result is read in isolation.
- Net profit
- $2,060.00 in the default Rare Earth Return calculation — one of the secondary figures an experienced reader checks before trusting the primary number.
- Value multiple
- 1.14 × in the default Rare Earth Return calculation — one of the secondary figures an experienced reader checks before trusting the primary number.
- Total return
- The primary output of this tool: 13.51% for the default inputs, computed exactly from Total return = (sell + income − buy) ÷ buy; CAGR = ((sell + income) ÷ buy)^(1/years) − 1.
- Worked example
- The step-by-step substitution printed above, so the arithmetic can be re-derived by hand or in a spreadsheet.
- Verdict band
- The interpretation attached to a result (“Modest gain — check it after inflation and costs” on these inputs), which turns a bare number into a position on a scale.
- Sensitivity (±10 %)
- How far the Rare Earth Return moves when a single input is nudged ten percent either way; the ranked list on this page is computed live from this engine.
Methodology, sources and limits
The model is published arithmetic implemented exactly as written: Total return = (sell + income − buy) ÷ buy; CAGR = ((sell + income) ÷ buy)^(1/years) − 1. Source of record: Time-weighted return arithmetic per CFA Institute conventions. Specialist software layers extra coefficients on top of the same algebra; none are hidden here, and that transparency is what makes a disagreement traceable to a specific input instead of a black box.
Nothing here replaces a qualified professional, and nothing here is approximate either — the arithmetic is exact, and the honesty is in the inputs you supply. The sensitivity table above is part of that promise rather than a bonus: it lets you see how much of the result depends on how carefully you measured.
What to do with your Rare Earth Return next
Pair this figure with the companion outputs above — the headline sizes the prize, the companions describe the risk.
Whoever you are (investors and founders comparing opportunities on equal terms), the next step is the same: replace the example inputs with your own, note the date, and re-run whenever a figure moves. In Investing & Markets, a dated figure is a trend, and an undated one is a rumour.