Dollar Duration Calculator
The formula
What the dollar duration (dv01) tells you
The desk version of duration: dollars lost per basis point of yield. Risk limits in bond desks and banks are written in DV01 because it adds straight across books regardless of what instrument produced it.
Calculation: Dollar duration (DV01) = Dmod × V × 0.0001. Enter your inputs and every substitution is shown below the result.
Reading the result
A portfolio's DV01 is the weighted sum of its pieces — this is why "duration-matched" hedges are quoted in DV01 not duration: they target dollar risk, not years.
Rules of thumb: Large banks publish aggregate DV01 in the low millions; a $250k holding of 6.5-duration bonds runs about $162/bp
Limitations and best practice
DV01 is local: accurate for a parallel ±10-25bp shift and progressively wrong beyond. Non-parallel moves (curve twists) need key-rate durations.
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
DV01 vs BPV vs PV01 — same thing?
How do desks hedge DV01?
Source & methodology
Industry standard; see ISDA definitions and bank market-risk disclosures (SR 11-7).
How Dollar Duration works — and what your result really means
Time is the one input nobody can renegotiate, which makes getting the arithmetic right worth the minute it takes. Dollar Duration is the kind of number people argue about from memory. This page ends that argument with arithmetic you can watch happen: enter your figures, get DV01 in real time, and see every substitution printed below.
What makes Dollar Duration 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.
Every investing metric in Investing & Markets is a bet about the future priced in today’s language. Dollar Duration translates that bet: Dollar duration (DV01) = Dmod × V × 0.0001. The translation is mechanical and reliable; the judgement is deciding whether the inputs you feed it are honest forecasts or wishful numbers.
What makes a calculation page trustworthy is that its copy is derived from its own arithmetic: here DV01 = $218.79 per bp, recomputed every time a field changes, and the sensitivity section ranks the inputs that move the result — Modified duration first, at ≈10.0 % of the headline for a ten-percent error either way in that input — which is the thread the rest of this guide pulls on.
Inside the Dollar Duration calculation: formula and every input
Here is the complete model this tool runs — Dollar duration (DV01) = Dmod × V × 0.0001 — with each input explained below. If a competitor’s page gives you a different answer from the same inputs, this is the text that settles which of you is right.
Modified duration (example value 6) is a measured number in the unit named by the label; the formula does not convert for you. If the period is partial, decide whether you mean elapsed or planned time and keep that meaning across every field.
Position market value ($) (example value 382,500) is a numeric input whose unit is fixed by the label; a wrong unit is a wrong answer wearing a plausible disguise. Replace the example with the figure from your own records — the tool recomputes instantly and the printed steps follow your numbers.
Yield move (bp) (example value 27) is a numeric input whose unit is fixed by the label; a wrong unit is a wrong answer wearing a plausible disguise. Rates are the most mis-transcribed input on any page like this; copy it from the document rather than retyping from memory.
A fully worked Dollar Duration example
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: Modified duration, Position market value ($), Yield move (bp). Run to the end, the DV01 resolves to $218.79 per bp — A 27bp yield move swings this position ≈ $5,907 on the bands this tool uses.
- DV01 = 5.72 × $382,500 × 0.0001 = $219
- For 27bp: $219 × 27 = $5,907 (ignoring convexity)
Dollar duration (per $100 face) — 5.72 $. If your inputs change, this is usually the first companion figure to move.
100bp scenario — $21,879. If your inputs change, this is usually the first companion figure to move.
25bp scenario — $5,469.75. Compare it against the main result of $218.79 per bp before drawing conclusions.
Position × duration = risk $ per bp — $218.79. Compare it against the main result of $218.79 per bp 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.
How far Dollar Duration can reasonably move
The honest version of any estimate is a corridor, and this one is cheap to produce: Dollar Duration was recomputed at 5 points along the dominant input, with every other field left untouched.
| Modified duration setting | DV01 |
|---|---|
| 80 % of the example value | $175.03 per bp |
| 90 % of the example value | $196.91 per bp |
| example inputs | $218.79 per bp |
| 110 % of the example value | $240.67 per bp |
| 120 % of the example value | $262.55 per bp |
The corridor runs from $175.03 per bp to $262.55 per bp across that band — which is the range worth planning inside rather than the single $218.79 per bp point estimate. Reproduce it in the form above by editing Modified duration alone; the substitution steps will follow your figures exactly.
What actually moves your Dollar Duration
Generic advice says “it depends on your inputs”; this section says exactly how much. Each field was perturbed by ±10 % in isolation and the DV01 recomputed, so the ranking below is measured rather than asserted. It is the fastest honest answer to “what matters most in Dollar Duration?” — and it is specific to these defaults, because sensitivity moves with the starting point.
- Nudge Modified duration by ±10 % and Dollar Duration lands between $196.91 per bp and $240.67 per bp (sensitivity ≈10.0 %)
- Position market value +10 % → Dollar Duration = $240.67 per bp · −10 % → $196.91 per bp (the DV01 shifts ≈10.0 %)
Modified duration is the dominant lever here: ten percent either way moves the result by about 10.0 %, from $196.91 per bp to $240.67 per bp. Spend your verification effort there first, and Position market value is effectively tied with it (≈10.0 % for the same nudge), so verify the pair together. 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.
Interpreting the Dollar Duration verdict
Nobody acts on a bare figure — they act on a figure with a comparison attached. The verdict attached to the default calculation — “A 27bp yield move swings this position ≈ $5,907” — is one band on a ladder your own figure may sit somewhere else on. How much of that band is luck? On Modified duration alone ten percent either way covers $196.91 per bp to $240.67 per bp. The practical reading rules: read the band as a starting hypothesis, then test it: change the two dominant inputs by ten percent and see whether the verdict survives. Verdicts that survive stress are the ones worth acting on.
Where Dollar Duration sits next to similar measures: this tool answers “how much is the Dollar Duration”, while the related calculators answer “what do I do about it”. Reading the result alone tends to over-weight a single snapshot; pairing it with the companion tools above turns the number into a decision.
How people get Dollar Duration wrong
DV01 is local: accurate for a parallel ±10-25bp shift and progressively wrong beyond. Non-parallel moves (curve twists) need key-rate durations. 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: Modified duration carries ≈10.0 % of the response per ten percent of error, so effort spent elsewhere is largely decorative.
Another is comparing across contexts: a Dollar Duration 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.
A quick check for any Dollar Duration figure
- Compare the result with one independent method or published benchmark.
- Confirm the example values are plausible for your own situation before replacing them.
- Check Modified duration before anything else: it is the measured dominant input, ≈10.0 % of Dollar Duration per ten percent.
- State, in one sentence, which convention each rate, unit or period in the form is using.
- Note the date and the inputs beside the number so the figure can be audited later.
- Repeat the ±10 % test on the inputs that matter and see whether the decision — not just the number — still holds.
Step by step: getting a trustworthy Dollar Duration 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 (modified duration, position market value ($), yield move (bp)). 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. One decimal place more than your data supports is one decimal place of fiction.
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. If the answer changes your behaviour, it deserves a second run with different assumptions.
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. The fastest sanity test is to guess the answer first and see how far the calculation disagrees.
Step 4 — compute a corridor, not a point. Three runs — worst, likely, best — turn Dollar Duration from a snapshot into a range. Plan against the pessimistic end and treat the optimistic end as the upside story. One decimal place more than your data supports is one decimal place of fiction.
Step 5 — schedule the next run. In Investing & Markets the inputs drift quietly. Put a reminder a quarter out, re-enter the same fields, and read the change rather than the level. A calculation you cannot explain to somebody else is a calculation you cannot defend.
Who actually uses Dollar Duration — and when
In Fixed Income the figure computed here is usually the first one somebody asks to see. Having it — with the formula behind it — changes your position in the conversation from participant to reference. A figure with a date beside it becomes evidence; without one it stays an anecdote.
Professionals in Fixed Income use this style of calculation as a screening filter before spending real money or effort: a quick Dollar Duration check eliminates weak options in minutes, and the survivors earn the deeper, slower analysis. Numbers are cheap to produce and expensive to retract; the extra minute is the cheapest insurance available.
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. When two sources disagree, it is almost never the arithmetic that differs.
The questions that come up most about Dollar Duration
What affects Dollar Duration the most?
Dollar Duration is driven above all by Modified duration. Perturbing only that field by ten percent either way produced $240.67 per bp against the $218.79 per bp baseline — a ≈10.0 % response, while Position market value manages ≈10.0 %.
Do position market value and modified duration matter equally?
Dollar Duration here is co-driven: Modified duration and Position market value produced ≈10.0 % and ≈10.0 % responses, which is a tie for practical purposes. Everything below those two is a rounding error by comparison.
What is a typical Dollar Duration?
With the example inputs on this page the result is $218.79 per bp, labelled “A 27bp yield move swings this position ≈ $5,907”. “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 Dollar Duration by hand?
Three steps: write the formula (Dollar duration (DV01) = Dmod × V × 0.0001), 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 Dollar Duration than any number of calculator runs.
What happens to Dollar Duration if modified duration changes by 10 %?
On these inputs a ±10 % change in modified duration takes Dollar Duration to $240.67 per bp against the $218.79 per bp example — around 10.0 % of the headline. The same test on every other field is in the sensitivity section.
Is the Dollar Duration result of $218.79 per bp good or bad?
The tool answers “what”, not “whether”: $218.79 per bp carries the verdict “A 27bp yield move swings this position ≈ $5,907” for the default case, which is a starting interpretation rather than a verdict on your situation. Re-run with your own figures and compare the bands.
Does Dollar Duration account for fees and taxes?
Only what you put in. Fees belong inside Modified duration where they shrink returns before compounding touches them; taxes are outside the scope of a pre-tax Dollar Duration and should be layered on top before decisions.
Can I predict future returns with Dollar Duration?
No tool predicts; Dollar Duration computes implications. Use it to ask "if these inputs hold, what follows" — then stress the assumptions.
DV01 vs BPV vs PV01 — same thing?
Effectively yes: dollar value of one basis point. Regional desks may define BPV with slightly different conventions (e.g., per 0.01% of notional).
How do desks hedge DV01?
By matching dollars-per-basis-point with futures or swaps — the hedge is sized in DV01, not notional, which is why Treasury futures carry conversion factors.
Does this Dollar Duration tool store my numbers?
No. The entire calculation runs in your browser session; nothing entered above is transmitted or saved, which is the correct behaviour for sensitive Investing & Markets figures and the reason you can re-run this page as often as you like.
Key terms on this page
- Dollar duration (per $100 face)
- 5.72 $ on the example inputs — a companion figure printed beside the headline of Dollar Duration so that no result is read in isolation.
- 100bp scenario
- $21,879 on the example inputs — a companion figure printed beside the headline of Dollar Duration so that no result is read in isolation.
- 25bp scenario
- $5,469.75 for the Dollar Duration worked case; it sits next to the main result because it carries context the headline leaves out.
- DV01
- The primary output of this tool: $218.79 per bp for the default inputs, computed exactly from Dollar duration (DV01) = Dmod × V × 0.0001.
- Worked example
- The calculation written out in full so that nothing on this page has to be taken on trust.
- Verdict band
- The plain-language label — here “A 27bp yield move swings this position ≈ $5,907” — mapping the computed figure onto experience-based ranges for Investing & Markets.
- Sensitivity (±10 %)
- How far the Dollar Duration 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
The model is published arithmetic implemented exactly as written: Dollar duration (DV01) = Dmod × V × 0.0001. Source of record: Industry standard; see ISDA definitions and bank market-risk disclosures (SR 11-7). Where a professional version of this calculation differs, it differs in inputs and jurisdiction-specific coefficients, not in the algebra — which is why re-checking your inputs beats hunting for a second calculator.
Treat the output as a precise answer to the question you typed: exact arithmetic, transparent formula, published source, no hidden rounding. The promise to the reader is narrow and testable: same inputs, same output, no silent rounding, and no figure presented without the formula that produced it.
Next steps after the calculation
Re-run whenever a start date moves — time calculations compound small shifts into large misses.
The audience here is people planning around a point or span in time. 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.