DV01

Before you rely on it

What to check

Ask for the position size and face value behind the number.

The common error

Where people go wrong with DV01

Quoting DV01 without the size it was computed on. The figure scales with the position. So it means nothing on its own and everything once the notional is attached.

Worked through

DV01 in plain numbers

A bond portfolio worth $10,000,000 has a modified duration of 6; a one-basis-point rise in yields, 0.01 percentage points, is expected to cut its value by about 10,000,000 × 6 × 0.0001, which is $6,000. That is its DV01: dollar value of an 01. If yields jump 25 basis points, the estimated loss is about $150,000, and the same move down adds about that much; a trader holding $3,000 of DV01 in a swap and $3,000 of opposite DV01 in a bond has hedged the first-order exposure. DV01 turns a percentage risk measure into dollars.

Easily confused

DV01 and its neighbours

DV01 is not duration, but it comes from it. Duration is a percentage sensitivity, price change per unit change in yield. DV01 is that sensitivity multiplied by the position's value and scaled to one basis point, so it is in dollars. PV01 is a close cousin, defined for one basis point of a specific curve, and the word basis point matters: DV01 is small numbers for small moves; it is different from value at risk, which estimates a possible loss at a confidence level over a period, and from convexity, which adds curvature.

In real decisions

Where DV01 turns up

Traders and risk managers use DV01 to size and hedge positions in bonds, swaps and futures; a desk can add up DV01 across instruments to see net exposure to rates. Asset managers quote it to explain how much a portfolio is likely to move; comparing DV01 lets someone match a hedge instrument to a holding. It also supports limits: a firm might cap total DV01 at a set dollar figure. It is the standard language of rate risk in dollars.

Know the edges

Where DV01 stops being reliable

DV01 is a linear approximation and holds for small yield moves. Large moves need convexity or full repricing. It assumes a parallel shift of the curve, while real moves are not parallel, and it changes as rates and time change, so it needs regular updates; it ignores credit and liquidity risk. Use it as one measurement in a set, alongside key-rate exposures and stress tests.

Quick answers

What people ask about DV01

What is the difference between DV01 and PV01? They are close relatives. DV01 usually refers to the price change for a one-basis-point change in yield, and PV01 to the change in present value for a one-basis-point change in a specified rate curve. Desks sometimes use them interchangeably.

Why do traders like dollar measures? Percentages hide the size of a position. DV01 shows how many dollars a move costs or earns and can be added across instruments to get net exposure.

Does DV01 stay constant? No. It changes as yields move and as time passes. Risk systems recalculate it daily.

How do I hedge DV01? Take an offsetting position with the opposite DV01, such as a futures contract or swap. Matching the dollar sensitivity neutralizes the first-order exposure to parallel rate moves.