Collectible Return Calculator
The formula
What the collectible return tells you
Exactly what collectible 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.
Collectible Return: the number, the method and the caveats
You are comparing options that arrive in different shapes, and Collectible Return is the level playing field that makes them comparable. Searchers land on a Collectible 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 Collectible 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.
What makes Collectible Return worth calculating is not precision but position: it tells you which side of a threshold you are on, and by how much. A rough figure that settles the direction beats an elaborate one that never commits.
What makes a calculation page trustworthy is that its copy is derived from its own arithmetic: here total return = 3.33%, recomputed every time a field changes, and the sensitivity section ranks the inputs that move the result — Buy price / invested first, at ≈344.4 % 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.
Inside the Collectible Return calculation: formula and every input
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 ($) (example value 21,000) is a numeric input whose unit is fixed by the label; a wrong unit is a wrong answer wearing a plausible disguise. Use the figure exactly as the source document states it, not a rounded memory of it — an omitted line is the classic silent error.
Sell price / value now ($) (example value 20,750) is a quantity rather than a category — precision here is cheap and worth having. Keep every money input in the same currency; mixing systems quietly corrupts the comparison.
Holding period (years) (example value 9) is a numeric input whose unit is fixed by the label; a wrong unit is a wrong answer wearing a plausible disguise. Be precise about the boundary (exact date, start of month); time inputs decide the exponent in most formulas.
Income received over the hold ($) (example value 950) is a numeric input whose unit is fixed by the label; a wrong unit is a wrong answer wearing a plausible disguise. Keep every money input in the same currency; mixing systems quietly corrupts the comparison.
Collectible Return on the example inputs: the complete substitution
Abstract formulas are hard to trust, so here is the complete substitution using the default inputs, written the way an examiner would want it. Starting figures: Buy price / invested ($), Sell price / value now ($), Holding period (years), Income received over the hold ($). The computed total return comes out at 3.33%, which the interpretation band labels “Flat to marginal — the fees and inflation may eat it”.
- Ending value incl. income = $20,750.00 + $950.00 = $21,700.00
- Total return = (21,700.00 − 21,000.00) ÷ 21,000.00 = 3.33 %
- CAGR = (21,700.00 ÷ 21,000.00)^(1/9.0) − 1 = 0.36 % a year
Annualised (CAGR) — 0.36%. If your inputs change, this is usually the first companion figure to move.
Net profit — $700.00. Read next to the headline, this is the figure that shows the shape of the trade-off.
Value multiple — 1.03 ×. If your inputs change, this is usually the first companion figure to move.
Income share of gain — 135.7%. Compare it against the main result of 3.33% before drawing conclusions.
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: Collectible Return at ±10 % and ±20 % of the key input
Single-point answers invite false confidence, so the same engine was run across a band around the input that matters most here. Each row is a full recalculation of Collectible Return, not an interpolation.
| Buy price / invested setting | Total return |
|---|---|
| 80 % of the example value | 29.17% |
| 90 % of the example value | 14.81% |
| example inputs | 3.33% |
| 110 % of the example value | -6.06% |
| 120 % of the example value | -13.89% |
That spread — -13.89% at the low end, 29.17% at the high — is what a careful read of Collectible Return looks like: a band you can state out loud, with the reason for each edge. Reproduce it in the form above by editing Buy price / invested alone; the substitution steps will follow your figures exactly.
Where Collectible Return is fragile — and where it is not
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. It is the fastest honest answer to “what matters most in Collectible Return?” — and it is specific to these defaults, because sensitivity moves with the starting point.
- Buy price / invested +10 % → Collectible Return = -6.06% · −10 % → 14.81% (the total return shifts ≈344.4 %)
- Sell price / value now +10 % → Collectible Return = 13.21% · −10 % → -6.55% (the total return shifts ≈296.4 %)
- Income received over the hold: ten percent up gives 3.79%, ten percent down gives 2.88% — ≈13.6 % of the total return either way
Buy price / invested is the dominant lever here: ten percent either way moves the result by about 344.4 %, from -6.06% to 14.81%. Spend your verification effort there first, and treat Sell price / value now as the second priority (≈296.4 % per ten percent). Everything below that can stay approximate, which is a licence to stop chasing data that would not change the decision.
What a Collectible Return of 3.33% means in practice
The value above only becomes useful the moment you know what it is being measured against. The verdict attached to the default calculation — “Flat to marginal — the fees and inflation may eat it” — 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 -6.06% to 14.81%. 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.
Related measures answer related questions, and the distinctions matter: Collectible Return is the quantity, Total return is this tool’s reading of it, and the decision that follows belongs to neither of them separately.
How people get Collectible Return wrong
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.
Feeding best-case scenarios and calling them plans. Run the number at least at expected and at pessimistic inputs; the gap between them is the actual risk you are accepting.
One mistake is specific to this engine: assuming every input matters equally. The computation above shows Buy price / invested dominating — a careful figure there beats false precision everywhere else.
A final trap is presentation: reporting Collectible 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.
Before you trust your Collectible Return: a short checklist
- Compare the result with one independent method or published benchmark.
- Re-run the calculation with a ±10 % stress on the two most sensitive inputs.
- Check Buy price / invested before anything else: it is the measured dominant input, ≈344.4 % of Collectible Return per ten percent.
- Compare the output against one published benchmark or a colleague’s independent estimate.
- Check that every field the formula needs actually arrived from a document, not from recollection.
- Repeat the ±10 % test on the inputs that matter and see whether the decision — not just the number — still holds.
How to use the Collectible Return tool properly
Using a calculator well sounds trivial, but the difference between a decision-grade figure and a throwaway one lives entirely in the routine. The routine for Collectible Return takes a minute to learn and applies to every input above.
Step 1 — start from evidence. The inputs behind Collectible Return are buy price / invested ($), sell price / value now ($), holding period (years), income received over the hold ($). Write them down with their source next to each one; if you cannot name where a figure came from, that is the input most likely to be wrong. If a result feels obviously right, that is the moment to check the inputs hardest.
Step 2 — baseline before exploration. Get one defensible Total return on screen before you start nudging numbers. Without a baseline, every variation looks interesting and none of them means anything. One decimal place more than your data supports is one decimal place of fiction.
Step 3 — change one input at a time. Nudge a single field by ten percent, watch the headline and its companions move, then undo it. Two or three fields will dominate — the sensitivity table above already ranks them for this engine. When in doubt, prefer the boring input: the interesting one is usually the one you misread.
Step 4 — ask what would have to be true. Take the result you want and work backwards through the inputs until you find the assumption that produces it; then decide honestly whether that assumption is defensible. When in doubt, prefer the boring input: the interesting one is usually the one you misread.
Step 5 — write the one-line memo. “Total return = 3.33% on this date, from these inputs.” That line is the entire deliverable; everything else on this page is how you earned the right to write it. Re-running a number costs seconds; retracting a decision costs considerably more.
The real-world conversations Collectible Return settles
Investing & Markets arguments end at arithmetic or they do not end. Collectible Return is the arithmetic: 3.33% on the example inputs, reproducible by anyone who types the same numbers. When two sources disagree, it is almost never the arithmetic that differs.
Professionals in Alternative Investments use this style of calculation as a screening filter before spending real money or effort: a quick Collectible Return check eliminates weak options in minutes, and the survivors earn the deeper, slower analysis. Say the answer out loud before you save it; if it sounds wrong, the model did not change, your understanding did.
Nothing here is stored or transmitted, so the habit of checking is free: open the page, re-enter current figures, compare with the number you saved last time. Estimates improve most when the worst case is written down in ink.
Quick answers: what searchers ask about Collectible Return
What affects Collectible Return the most?
Measured on this engine, Buy price / invested is the dominant lever: moving it ±10 % shifts the total return across -6.06% to 14.81% — about 344.4 % of the headline, with Sell price / value now next at ≈296.4 %. The ranked list in the sensitivity section is computed live, not asserted from a template.
Which matters more: sell price / value now or buy price / invested?
For Collectible Return, Buy price / invested wins the head-to-head (≈344.4 % against ≈296.4 % per ten-percent change). Knowing which input dominates is the difference between careful work and merely slow work.
What is a typical Collectible Return?
With the example inputs on this page the result is 3.33%, labelled “Flat to marginal — the fees and inflation may eat it”. “Typical” varies with situation, which is why every result here ships with its verdict band and its sensitivity list: they turn one figure into a range you can locate yourself inside.
How do I calculate Collectible 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 = $20,750.00 + $950.00 = $21,700.00). On the example inputs the hand route lands on 3.33%, 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 Collectible Return if buy price / invested changes by 10 %?
On these inputs a ±10 % change in buy price / invested takes Collectible Return to -6.06% against the 3.33% example — around 344.4 % of the headline. The same test on every other field is in the sensitivity section.
Is the Collectible Return result of 3.33% good or bad?
Neither, on its own — the label “Flat to marginal — the fees and inflation may eat it” is the band this figure falls in for the example inputs, and your own inputs will place you elsewhere on the same ladder. Judge the number against your history and your alternatives, and remember that a ten-percent error in Buy price / invested alone moves it by ≈344.4 %.
How do I calculate Collectible 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.
Can I predict future returns with Collectible Return?
No tool predicts; Collectible Return computes implications. Use it to ask "if these inputs hold, what follows" — then stress the assumptions.
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.
Can this tool see the numbers I type?
It cannot. There is no submission step: the calculation happens in your browser and the result disappears when you close the page. Treat the fields above as a scratchpad rather than a form.
The vocabulary of Collectible Return
- Annualised (CAGR)
- 0.36% on the example inputs — a companion figure printed beside the headline of Collectible Return so that no result is read in isolation.
- Net profit
- $700.00 in the default Collectible Return calculation — one of the secondary figures an experienced reader checks before trusting the primary number.
- Value multiple
- 1.03 × on the example inputs — a companion figure printed beside the headline of Collectible Return so that no result is read in isolation.
- Total return
- The primary output of this tool: 3.33% 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
- A named zone on the range of plausible results; the example inputs land in “Flat to marginal — the fees and inflation may eat it”, and your inputs may not.
- Sensitivity (±10 %)
- How far the Collectible Return moves when a single input is nudged ten percent either way; the ranked list on this page is computed live from this engine.
Where the Collectible Return model comes from
Everything above runs on one stated formula, applied without hidden coefficients: 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.
Treat the output as a precise answer to the question you typed: exact arithmetic, transparent formula, published source, no hidden rounding. The design constraint was set by usefulness rather than by comfort: an estimate you can interrogate beats an answer you have to trust.
After the number: what to do with it
Pair this figure with the companion outputs above — the headline sizes the prize, the companions describe the risk.
The audience here is investors and founders comparing opportunities on equal terms. Everything you need to defend the result — formula, substitution, sensitivity, source — is printed above, so the only remaining variable is the honesty of your inputs.