modified duration


Modified Duration is a formula used to express the measurable change in a securities’ value following a change in interest rates. It is calculated as:

Modified Duration =
Macaulay Duration
[1+(YTM/n)]




Where:
   n = number of coupon periods per year

   YTM = the bond’s yield to maturity




An assumption implied by the Modified Duration equation is that real interest rates and bond prices move in opposite directions. The formula shows that a positive moment in real interest rates will drop bond prices a specified amount.