Relative Valuation Calculator

The formula

change % = (after − before) ÷ before × 100; annualised = (after ÷ before)^(1/periods) − 1

What the relative valuation tells you

The size and shape of the move between two figures — total percent, absolute delta and the annualised rate — for relative valuation.

Calculation: change % = (after − before) ÷ before × 100; annualised = (after ÷ before)^(1/periods) − 1. Enter your inputs and every substitution is shown below the result.

Reading the result

Compare the annualised line with the same measure from a rival or a baseline; the raw percent flatters long periods and punishes short ones.

Limitations and best practice

Percentage-point vs percent confusion: a move from 4 % to 6 % is +50 % relatively but +2 points — state which you mean.

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

Is percent change symmetric?
No — up 25 % needs down 20 % to undo. The multiple output keeps the round trip honest.
Why annualise?
It puts unequal time spans on one scale, making 4-year and 9-month comparisons legible.

Source & methodology

Standard growth arithmetic.

Relative Valuation explained: formula, worked example and honest limits

This page was written for one job: turning your own inputs into a defensible figure, with the working shown. Searchers land on a Relative Valuation 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.

It helps to separate the mechanics from the interpretation. The mechanics are fixed: change % = (after − before) ÷ before × 100; annualised = (after ÷ before)^(1/periods) − 1. Anyone, anywhere, entering the same inputs will get the same 39.36%. The interpretation is where experience counts: whether 39.36% is good, normal or alarming depends on comparisons covered below, and that is the part most articles about Relative Valuation never explain.

Like most useful measures, Relative Valuation is a summary, and summaries hide as much as they reveal. The companion outputs and the input table are here to reopen what the headline compressed.

Nothing below is stock text pasted around a number: the worked example computes relative valuation = 39.36% from this tool’s own defaults, and the sensitivity section ranks the inputs that move the result — Before first, at ≈39.3 % 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.

Inside the Relative Valuation calculation: formula and every input

One formula, published in full: change % = (after − before) ÷ before × 100; annualised = (after ÷ before)^(1/periods) − 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.

Before (example value 94) is a measured number in the unit named by the label; the formula does not convert for you. The example value is there to demonstrate the mechanics, not to describe your situation — overwrite it.

After (example value 131) is a quantity rather than a category — precision here is cheap and worth having. This input feeds the formula directly; a defensible figure here is worth more than false precision anywhere else.

Periods between (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.

A fully worked Relative Valuation example

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: Before, After, Periods between (years). The endpoint of that chain is 39.36% of relative valuation, sitting in the “Solid growth” band.

  1. Δ = 131.00 − 94.00 = 37.00
  2. Percent = 37.00 ÷ 94.00 × 100 = 39.36 %
  3. Annualised = (131.00 ÷ 94.00)^(1/9.0) − 1 = 3.76 %

Absolute change — 37.00. Compare it against the main result of 39.36% before drawing conclusions.

Per-period (annualised) — 3.76%. Read next to the headline, this is the figure that shows the shape of the trade-off.

Multiple — 1.39 ×. Compare it against the main result of 39.36% 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.

The Relative Valuation corridor: your result across a realistic band

The honest version of any estimate is a corridor, and this one is cheap to produce: Relative Valuation was recomputed at 5 points along the dominant input, with every other field left untouched.

Before settingRelative Valuation
80 % of the example value74.20%
90 % of the example value54.85%
example inputs39.36%
110 % of the example value26.69%
120 % of the example value16.13%

The corridor runs from 16.13% to 74.20% across that band — which is the range worth planning inside rather than the single 39.36% point estimate. Reproduce it in the form above by editing Before alone; the substitution steps will follow your figures exactly.

The levers behind Relative Valuation, ranked by effect

Nobody should have to guess which input matters. The engine was re-run once per field below — ten percent up, ten percent down, everything else frozen — and the results ranked by how far they moved the relative valuation. Read it as a map of where Relative Valuation is fragile — drawn for the example inputs, which is the map you want when deciding what to measure carefully.

  • Before: ten percent up gives 26.69%, ten percent down gives 54.85% — ≈39.3 % of the relative valuation either way
  • After +10 % → Relative Valuation = 53.30% · −10 % → 25.43% (the relative valuation shifts ≈35.4 %)

Before is the dominant lever here: ten percent either way moves the result by about 39.3 %, from 26.69% to 54.85%. That is where a careless figure does the most damage, so check it against a source, and treat After as the second priority (≈35.4 % per ten percent). The remaining fields can sit at safe defaults without materially changing the answer — knowing which is which is what separates a careful calculation from an anxious one.

Is your Relative Valuation good — reading the result bands

A number on its own is trivia; a number against a range is intelligence. On the example inputs the band reads “Solid growth”; 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 Before, ±10 % covers 26.69% to 54.85%. 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.

Placing this figure in context: calculators of this kind differ less in arithmetic than in what they choose to ignore. This one keeps Before explicit so that the omissions are visible rather than hidden in a preset.

Common mistakes with Relative Valuation (and the fix)

Percentage-point vs percent confusion: a move from 4 % to 6 % is +50 % relatively but +2 points — state which you mean. 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.

This model has its own particular trap: Before carries ≈39.3 % of the response per ten percent of error, so effort spent elsewhere is largely decorative.

Another is comparing across contexts: a Relative Valuation computed with one set of conventions should never be lined up against a figure computed with another. Check the inputs behind both before ranking them.

Before you trust your Relative Valuation: a short checklist

  • Record the date and the inputs alongside the number so future-you knows what was assumed.
  • Compare the output against one published benchmark or a colleague’s independent estimate.
  • Put Before under a magnifier; the sensitivity table above is the reason why.
  • Compare the result with one independent method or published benchmark.
  • Recompute once with the dominant input deliberately set low, and see whether the decision changes.
  • Confirm the answer against one independent method or published benchmark for Relative Valuation.

Step by step: getting a trustworthy Relative Valuation out of this tool

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 — collect, then type. Everything this tool asks for is listed above (before, after, periods between (years)). Pull each figure from something you can point at — paperwork, a dashboard, a label — before touching a field. Guesswork at the input stage cannot be repaired at the interpretation stage. Comparisons are cheap: run the identical calculation for the alternative and look at the gap.

Step 2 — enter the conservative case first. Resist the flattering scenario. Type the inputs you would defend in front of a sceptical reader, read the Relative Valuation (39.36% for the example values), and note the verdict band. A figure with a date beside it becomes evidence; without one it stays an anecdote.

Step 3 — measure what deserves measuring. The ranked levers above tell you where a careful figure pays off. Everything else can stay approximate, which is a licence to stop hunting for data you do not need. A calculation you cannot explain to somebody else is a calculation you cannot defend.

Step 4 — compute a corridor, not a point. Three runs — worst, likely, best — turn Relative Valuation from a snapshot into a range. Plan against the pessimistic end and treat the optimistic end as the upside story. A figure nobody can reproduce is a figure nobody will act on twice.

Step 5 — record the context, not just the number. Note today’s date and the inputs alongside the 39.36% output. Six months from now the context is what turns this figure into a trend. A calculation you cannot explain to somebody else is a calculation you cannot defend.

Where Relative Valuation matters in practice

Numbers earn their keep in conversations, and Relative Valuation is no exception. In Investing & Markets discussions around Stocks & Equities, this figure decides whether an option stays on the table: it converts an opinionated debate into an arithmetic one, and arithmetic is the only referee both sides accept. If the verdict changes with a ten-percent nudge, report the nudge alongside the number.

The companion outputs — Absolute change and Per-period (annualised) — exist for the second stage of that screen: the headline sizes the prize, while the companions describe the trade-off you are accepting to get it. The test of a good estimate is not that it feels right but that it changes what you do.

Re-running this page costs nothing and catches the slow drifts that never announce themselves. In Investing & Markets the expensive mistakes are rarely sudden; they are small changes in Before that nobody recalculated for a year. A calculation you cannot explain to somebody else is a calculation you cannot defend.

Relative Valuation — frequently asked questions

What affects Relative Valuation the most?

Measured on this engine, Before is the dominant lever: moving it ±10 % shifts the relative valuation across 26.69% to 54.85% — about 39.3 % of the headline, with After next at ≈35.4 %. The ranked list in the sensitivity section is computed live, not asserted from a template.

Which matters more: after or before?

By the numbers, Before: a ten-percent change in it moves the result ≈39.3 %, versus ≈35.4 % for After. Spend your measuring effort in that order — precision on the weaker lever buys almost nothing.

What is a typical Relative Valuation?

There is no honest universal average for Relative Valuation, but there is a reference point: the defaults on this page produce 39.36% (Solid growth). Replace the inputs with your own and compare — that comparison is the useful meaning of “typical”.

How do I calculate Relative Valuation by hand?

Three steps: write the formula (change % = (after − before) ÷ before × 100; annualised = (after ÷ before)^(1/periods) − 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 Relative Valuation than any number of calculator runs.

What happens to Relative Valuation if before changes by 10 %?

The engine was re-run with that field moved by ten percent while everything else stayed fixed: the relative valuation goes across 26.69% to 54.85%, a swing of roughly 39.3 % around the 39.36% baseline. That ratio is the practical definition of how much this input matters.

Is the Relative Valuation result of 39.36% good or bad?

Good and bad are comparisons, so the honest test is three questions: where does your own Relative Valuation sit against the 39.36% reference above, how far would a plausible input error move it (≈39.3 % per ten percent on Before), and what does the alternative option compute to?

How do I calculate Relative Valuation manually?

Write down the inputs, then follow the printed steps in order — change % = (after − before) ÷ before × 100; annualised = (after ÷ before)^(1/periods) − 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 Relative Valuation?

No tool predicts; Relative Valuation computes implications. Use it to ask "if these inputs hold, what follows" — then stress the assumptions.

Is percent change symmetric?

No — up 25 % needs down 20 % to undo. The multiple output keeps the round trip honest.

Why annualise?

It puts unequal time spans on one scale, making 4-year and 9-month comparisons legible.

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 Relative Valuation

Absolute change
37.00 for the Relative Valuation worked case; it sits next to the main result because it carries context the headline leaves out.
Per-period (annualised)
3.76% for the Relative Valuation worked case; it sits next to the main result because it carries context the headline leaves out.
Multiple
1.39 × in the default Relative Valuation calculation — one of the secondary figures an experienced reader checks before trusting the primary number.
Relative Valuation
The primary output of this tool: 39.36% for the default inputs, computed exactly from change % = (after − before) ÷ before × 100; annualised = (after ÷ before)^(1/periods) − 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 “Solid growth”, and your inputs may not.
Sensitivity (±10 %)
How far the Relative Valuation 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 Relative Valuation model comes from

There is no black box on this page — the engine evaluates change % = (after − before) ÷ before × 100; annualised = (after ÷ before)^(1/periods) − 1. Source of record: Standard growth arithmetic. 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. Nothing is smoothed, weighted or adjusted behind the scenes; where judgement enters, this page says so and names the input responsible.

Next steps after the calculation

Re-run the calculation with your own figures, stress the two most sensitive inputs by ±10 %, and only then act on the result.

Whoever you are (people who need one trustworthy number before their next decision), 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.