WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

Dollar Duration

select an initial point
periods to maturity
10
periodic coupon
10
change in yield
-5
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.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.