# Dollar Duration

Dollar Duration

Dollar duration is the first derivative of the price-yield relationship. It is used to approximate the change in the price of a fixed-income security in response to a change in the yield. For example, a dollar duration of 6.14 says that a change in the yield of one percentage point (or 100 basis points) would lead to a change of approximately $6.14 in the price of $100 of face value. The red vertical line indicates the amount of error in the approximation. The amount of error varies with the convexity (i.e., the second derivative) of the price-yield relationship, which in turn varies with the coupon and the time to maturity.