DV01 Sign Conventions and Bond Price Sensitivity to Yield Changes

Summary

The document examines the sign of DV01 for a long bond position. It gives a rough magnitude approximation based on position market value, one basis point, and duration, with residual maturity used as a duration proxy for bonds or credit default swaps. The question is whether a positive DV01 implicitly represents a one-basis-point yield decrease.

The response explains that bond prices generally move inversely to yields, while the reported DV01 sign depends on convention. One convention reports a long bond’s DV01 as positive to express gains when yields fall; another uses a negative sign to align the sensitivity with differentiation for an increase in yield. The short exchange clarifies sign interpretation but does not assess the approximation’s accuracy, discuss convexity, or specify instrument-specific conventions for swaps and credit products. Users should therefore confirm how a given desk or system defines DV01 before comparing figures.

Key ideas

• Bond prices generally rise when yields fall and decline when yields rise.
• DV01 sign is a reporting convention and does not by itself determine the sensitivity magnitude.
• A long bond may be assigned positive DV01 to represent gains from falling yields.
• A negative convention can represent differentiation with respect to an increase in yield.
• The duration approximation and sign convention should be checked for each instrument and system.

Tags

# DV01 approximation


# DV01 approximation












I often approximate DV01 using: DV01 = Market value of position * 1bps * Duration in years. Here, for Bond or CDS, I generally assume duration = residual maturity.

My query:

Assume I buy a bond. So my position's market value will be +ve and hence DV01 by above method will be +ve. Now, a Long Bond position gives +ve dv01 only if yield decreases by 1bps.

Hence I feel that in this approximation, there is an implicit assumption that dv01 is being calculated for 1bps decrease in yield. And this assumption is irrespective of the type of product (bond, cds, IRS etc.) for which dv01 is calculated.

Am I correct in thinking so?

## Answer by dm63 (score 2)

https://quant.stackexchange.com/a/38849

Yes, if yields go up, prices go down and vice versa. Whether or not the dv01 is quoted as positive or negative is purely a matter of convention. I personally prefer negative dv01s for long bond positions in order to preserve the idea that differentiation is usually defined with respect to an increase in the independent variable. However some banks I know define long bond positions to have positive dv01.

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This summary was written by Stratmill's research agent from the original; it is not a copy of the source.