Who this page is for — Anyone translating a small rate change into monetary value, comparing instruments or building a hedge without confusing notional amount and sensitivity.
DV01 means dollar value of an 01: the local monetary change associated
with a one-basis-point move—0.01% or 0.0001 in decimal form—in the
specified yield or curve. Outside U.S. dollars, BPV or PVBP are also
used. PV01, present value of a basis point, often denotes a similar
measure, but the terms are not interchangeable in every system.
From yield to monetary value
For a fixed-cash-flow bond using coherent full position value and modified duration:
DV01 magnitude ≈ full value × D_mod × 0.0001If full value is USD 2,000,000 and D_mod = 4.5, approximate DV01 magnitude is
USD 900. For an ordinary long position, a one-basis-point yield rise produces
roughly −USD 900 locally and a decline produces roughly +USD 900. Some
reports always show positive magnitude; others show signed P&L for a +1 bp
shock. The convention must accompany the number.
Full value is not necessarily a quoted price of “98.50”. It needs face value, quantity and accrued interest according to the market. If the report uses clean rather than dirty/full price, that base must be stated. Currency must be the measure's actual currency or include an explicit FX conversion.
The rate factor is part of the full name
“DV01” alone does not identify what moves. It can refer to:
- one bond's yield to maturity;
- a government or risk-free curve;
- a swap curve;
- one curve node;
- a forward rate;
- a swap coupon or another contractual quote.
DV01 from a parallel curve shift is not identical to yield-to-maturity DV01. Treasury futures add cheapest-to-deliver, conversion-factor and CTD-switch risk. Swap valuation depends on projection and discount curves. A hedge ratio built from unlike measures retains basis risk even when the displayed numbers match.
PV01: common synonym, not universal identity
On many desks, DV01, BPV and PV01 all mean the value change for one basis point and are used interchangeably, especially for dollar instruments. Elsewhere, PV01 means the present value of one basis point of a cash-flow leg, similar to a swap annuity, while DV01 means market-value change under a rate shock.
CME material comparing swaps and Treasury futures shows that the two may be approximately equal for a par swap under selected settings but can diverge when curve or shock definition changes. Basel MAR21 applies its own normalisation to PV01 sensitivity. The editorial solution is one canonical page with both terms, not two near-duplicates; any implementation must supply its operational formula.
DV01 by node and curve risk
One total DV01 describes only the selected aggregate shock. Sensitivity can be distributed by nodes or buckets to reveal steepening, flattening and twists:
| Measure | Question |
|---|---|
| total DV01 | what local P&L follows the selected aggregate shock? |
| key-rate DV01 | what P&L follows one basis point at one node under the interpolation rule? |
| CS01 | what P&L follows one basis point of credit spread? |
| inflation DV01 | what P&L follows the defined inflation-factor shock? |
DV01 and CS01 should not be added as though they represented one factor. Key-rate figures also depend on how neighbouring nodes are perturbed and which model inputs remain fixed.
A portfolio with zero net DV01 can have very large opposing gross DV01 across curves, currencies or maturities. A small divergence between legs, a non-parallel move or spread shift can create losses. Gross, net and scenario views should all be retained.
Convexity and changing DV01
DV01 is local. When the price-yield relationship is curved, its slope changes with rates. Convexity measures part of that change. After a large shock, initial DV01 may no longer describe the new portfolio; calls, prepayment and other optionality may also change cash flows.
Material scenarios require instrument revaluation, recalculated sensitivities and comparison of realised model change with the linear estimate. Multiplying current DV01 by 100 does not guarantee P&L for a 100-basis-point shock.
Aggregation and hedge ratio
Signed DV01 can be added only after aligning currency, curve, node, shock direction, timestamp and method. A simple hedge ratio is:
hedge quantity ≈ −position DV01 / unit hedge DV01Sign determines buying or selling and must be checked against the actual payoff. The ratio neutralises one local sensitivity, not credit, basis, convexity, liquidity, CTD-switch or model risk. Whole-contract rounding and execution costs leave residual exposure.
For multi-currency aggregation, an FX conversion creates another market factor. The book should preserve original-currency values as well as the reporting-currency total.
Common mistake — Comparing two DV01 figures without saying whether they are per unit, per million face or for the entire position. The same number can represent completely different economic scales.
Checklist
- One basis point applies to which curve, yield or quote?
- Is the figure positive magnitude or signed P&L for
+1 bp? - Is it per contract, per million or full position?
- Are full price, quantity, accrued interest and currency coherent?
- Does system documentation define DV01 and PV01?
- Are node or key-rate DV01 available?
- Are convexity, basis, spread and optionality tested by scenarios?
Sources
- CME Group, How Can You Measure Risk in Treasuries?.
- CME Group, Understanding the Importance of Basis Point Value.
- CME Group, Using Treasury Futures to Replace Swap Exposure — contexts in which PV01 and DV01 can coincide or diverge.
- Basel Committee on Banking Supervision, MAR21 — Standardised approach: sensitivities-based method — PV01 by curves and tenors in market risk.
- Basel Committee on Banking Supervision, SRP98 — Application guidance on interest rate risk in the banking book — PV01 profiles, curve, basis and optionality risk.