PMCC Return Calculator
The formula
What the pmcc return tells you
Exactly what pmcc 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.
How PMCC Return works — and what your result really means
You are comparing options that arrive in different shapes, and PMCC Return is the level playing field that makes them comparable. There are plenty of pages about PMCC Return; almost none of them show the working. This one does: the formula, every input, a fully computed example, and a sensitivity analysis calculated live from this engine’s own defaults.
People rarely disagree about arithmetic; they disagree about assumptions that were never written down. Printing the substitution and the sensitivity ranking removes that category of disagreement for PMCC Return.
The useful way to hold PMCC Return is as a ratio with a story attached: Total return = (sell + income − buy) ÷ buy; CAGR = ((sell + income) ÷ buy)^(1/years) − 1 says how the parts combine, and the 88.18% figure above is simply that sentence written in numbers. Everything that follows unpacks one clause of the sentence at a time.
Nothing below is stock text pasted around a number: the worked example computes total return = 88.18% from this tool’s own defaults, and the sensitivity section ranks the inputs that move the result — Buy price / invested first, at ≈23.7 % of the headline for a ten-percent error either way in that input. Read the sections in order and you will be able to reproduce every figure by hand.
How PMCC Return is computed, line by line
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 ($) (example value 11,250) is a numeric input whose unit is fixed by the label; a wrong unit is a wrong answer wearing a plausible disguise. Keep every money input in the same currency; mixing systems quietly corrupts the comparison.
Sell price / value now ($) (example value 20,500) is a plain measured quantity — the unit shown in the label is the unit the formula expects. Keep every money input in the same currency; mixing systems quietly corrupts the comparison.
Holding period (years) (example value 9) 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 ($) (example value 670) is a plain measured quantity — the unit shown in the label is the unit the formula expects. Keep every money input in the same currency; mixing systems quietly corrupts the comparison.
PMCC Return on the example inputs: the complete substitution
The tool prints its own working; this is the same arithmetic on the example values, reproduced so you can follow it by hand. Starting figures: Buy price / invested ($), Sell price / value now ($), Holding period (years), Income received over the hold ($). The computed total return comes out at 88.18%, which the interpretation band labels “Solid gain, roughly at or above long-run equity returns”.
- Ending value incl. income = $20,500.00 + $670.00 = $21,170.00
- Total return = (21,170.00 − 11,250.00) ÷ 11,250.00 = 88.18 %
- CAGR = (21,170.00 ÷ 11,250.00)^(1/9.0) − 1 = 7.28 % a year
Annualised (CAGR) — 7.28%. If your inputs change, this is usually the first companion figure to move.
Net profit — $9,920.00. Read next to the headline, this is the figure that shows the shape of the trade-off.
Value multiple — 1.88 ×. Compare it against the main result of 88.18% before drawing conclusions.
Income share of gain — 6.8%. If your inputs change, this is usually the first companion figure to move.
Overwrite any input above and every line of this example updates with it — the substitution is live, not a screenshot of somebody else’s numbers.
Scenario table: PMCC 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 PMCC Return, not an interpolation.
| Buy price / invested setting | Total return |
|---|---|
| 80 % of the example value | 135.22% |
| 90 % of the example value | 109.09% |
| example inputs | 88.18% |
| 110 % of the example value | 71.07% |
| 120 % of the example value | 56.81% |
Across 5 settings of Buy price / invested, the result spans 56.81% to 135.22%. 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.
Where PMCC 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. For PMCC Return the ranking is measured rather than guessed, and it belongs to these defaults: shift the starting point and the order can shift with it.
- Buy price / invested +10 % → PMCC Return = 71.07% · −10 % → 109.09% (the total return shifts ≈23.7 %)
- Sell price / value now: ten percent up gives 106.40%, ten percent down gives 69.96% — ≈20.7 % of the total return either way
- Nudge Income received over the hold by ±10 % and PMCC Return lands between 87.58% and 88.77% (sensitivity ≈0.7 %)
Buy price / invested is the dominant lever here: ten percent either way moves the result by about 23.7 %, from 71.07% to 109.09%. That is where a careless figure does the most damage, so check it against a source, and treat Sell price / value now as the second priority (≈20.7 % per ten percent). Everything below that can stay approximate, which is a licence to stop chasing data that would not change the decision.
Interpreting the PMCC Return verdict
The value above only becomes useful the moment you know what it is being measured against. On the example inputs the band reads “Solid gain, roughly at or above long-run equity returns”; your own figures place you on a different rung of the same ladder. The sensitivity list shows how far a modest input error moves you along that ladder: for Buy price / invested, ±10 % covers 71.07% to 109.09%. The practical reading rules: ask what would have to change to move you one band. If the answer is “a small, plausible input difference”, the band itself is not the finding — the uncertainty is.
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.
Why PMCC Return results go wrong — and how to prevent it
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.
Reporting the headline and quietly discarding Annualised (CAGR). The companions are where the shape of the trade-off survives the rounding.
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 PMCC 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.
A quick check for any PMCC Return figure
- Note the date and the inputs beside the number so the figure can be audited later.
- Record the date and the inputs alongside the number so future-you knows what was assumed.
- Check Buy price / invested before anything else: it is the measured dominant input, ≈23.7 % of PMCC Return per ten percent.
- Compare the result with one independent method or published benchmark.
- Check that every field the formula needs actually arrived from a document, not from recollection.
- Run the ±10 % stress on the top two levers and check that your conclusion survives both.
A routine for decision-grade PMCC Return
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 PMCC Return takes a minute to learn and applies to every input above.
Step 1 — one document, one pass. Open the statement, label or record that holds buy price / invested ($), sell price / value now ($), holding period (years), income received over the hold ($) and transcribe straight into the form. Transcription from a single source removes the mismatch errors that appear when figures are assembled from three different places. If a result feels obviously right, that is the moment to check the inputs hardest.
Step 2 — compute the version you would not be embarrassed by. If a stranger audited your inputs, which set would you hand over? Enter that set, read the result, and treat everything else as upside. The fastest sanity test is to guess the answer first and see how far the calculation disagrees.
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. Numbers are cheap to produce and expensive to retract; the extra minute is the cheapest insurance available.
Step 4 — stress before you commit. A decision that survives a ten-percent squeeze on its two biggest inputs needs no luck to be sound. One that does not survive is a decision about hope, not about arithmetic. If the verdict changes with a ten-percent nudge, report the nudge alongside the number.
Step 5 — save the story with the figure. A number without its inputs and its date is unusable within a quarter. Record 88.18%, the assumptions behind it, and today’s date; your future self will be auditing a stranger’s arithmetic. If the verdict changes with a ten-percent nudge, report the nudge alongside the number.
From calculation to decision: where PMCC Return earns its keep
Most Options & Derivatives disagreements are arithmetic disagreements in disguise. When Total return of 88.18% sits on the table with its working shown, the conversation stops being about who sounds more confident and starts being about which input is wrong. A result worth acting on survives having its two shakiest inputs halved.
Professionals in Options & Derivatives use this style of calculation as a screening filter before spending real money or effort: a quick PMCC Return check eliminates weak options in minutes, and the survivors earn the deeper, slower analysis. The fastest sanity test is to guess the answer first and see how far the calculation disagrees.
Treat PMCC Return like a smoke alarm rather than a painting — its value is in being tested periodically, not in being admired once. The test of a good estimate is not that it feels right but that it changes what you do.
People also ask about PMCC Return
What affects PMCC Return the most?
The short answer: Buy price / invested. The longer answer is the sensitivity table on this page, where every numeric input was probed by ten percent and the total return recalculated — Buy price / invested moved it furthest, by roughly 23.7 % (71.07% to 109.09%).
Which matters more: sell price / value now or buy price / invested?
Buy price / invested, by a factor of about 1.1. Concretely: ten percent on Buy price / invested is worth ≈23.7 % of PMCC Return, the same nudge on Sell price / value now only ≈20.7 %. That ranking is re-computed for each page from that page’s own defaults.
What is a typical PMCC Return?
There is no honest universal average for PMCC Return, but there is a reference point: the defaults on this page produce 88.18% (Solid gain, roughly at or above long-run equity returns). Replace the inputs with your own and compare — that comparison is the useful meaning of “typical”.
How do I calculate PMCC Return by hand?
Three steps: write the formula (Total return = (sell + income − buy) ÷ buy; CAGR = ((sell + income) ÷ buy)^(1/years) − 1), insert your values, and simplify. The worked example section shows exactly that chain for the default inputs; replicating it once on paper teaches you more about PMCC Return than any number of calculator runs.
What happens to PMCC Return if buy price / invested changes by 10 %?
The engine was re-run with that field moved by ten percent while everything else stayed fixed: the total return goes across 71.07% to 109.09%, a swing of roughly 23.7 % around the 88.18% baseline. That ratio is the practical definition of how much this input matters.
Is the PMCC Return result of 88.18% good or bad?
Neither, on its own — the label “Solid gain, roughly at or above long-run equity returns” 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 ≈23.7 %.
Can I predict future returns with PMCC Return?
No tool predicts; PMCC Return computes implications. Use it to ask "if these inputs hold, what follows" — then stress the assumptions.
How do I calculate PMCC 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.
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 PMCC Return
- Annualised (CAGR)
- 7.28% on the example inputs — a companion figure printed beside the headline of PMCC Return so that no result is read in isolation.
- Net profit
- $9,920.00 in the default PMCC Return calculation — one of the secondary figures an experienced reader checks before trusting the primary number.
- Value multiple
- 1.88 × on the example inputs — a companion figure printed beside the headline of PMCC Return so that no result is read in isolation.
- Total return
- The primary output of this tool: 88.18% for the default inputs, computed exactly from Total return = (sell + income − buy) ÷ buy; CAGR = ((sell + income) ÷ buy)^(1/years) − 1.
- Worked example
- The calculation written out in full so that nothing on this page has to be taken on trust.
- Verdict band
- A named zone on the range of plausible results; the example inputs land in “Solid gain, roughly at or above long-run equity returns”, and your inputs may not.
- Sensitivity (±10 %)
- How far the PMCC Return moves when a single input is nudged ten percent either way; the ranked list on this page is computed live from this engine.
Method, sources and what this tool cannot tell you
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. Any other implementation of this model should return the same figure for the same inputs. If one does not, the difference is in its assumptions — which this page prints and that one probably does not.
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. Nothing is smoothed, weighted or adjusted behind the scenes; where judgement enters, this page says so and names the input responsible.
What to do with your PMCC Return next
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.