# What is modified duration of a bond

Modified duration follows the concept that interest rates and bond prices move in opposite directions. This formula is used to determine the. Macaulay duration and modified duration are chiefly used to calculate the durations of bonds. The Macaulay duration calculates the weighted. Modified duration is a measure of a bond price sensitivity to changes in its yield to maturity. Macaulay’s duration measures the weighted average time till the bond cash flows. Modified duration adjusts Macaulay’s duration so that it can be used to estimate the price movement.

## macaulay duration in layman's terms

Macaulay duration, named for Frederick Macaulay who introduced the concept, is the weighted average maturity of cash. The easiest way to come up with the modified duration for a bond is to start by calculating another type of duration called Macauley duration. This type of. Duration is one of the fundamental characteristics of a fixed-income security (e.g., a bond) alongside maturity, yield, coupon, and call features. It is a tool used in.

Modified duration indicates the percentage change in the price of a bond for a given change in yield. It is a more adjusted measure of Macaulay duration that. Modified Duration tells the investor how much the price of the bond will change given the change in its yield. As the bond world is more complex than the stock. The modified duration formula can produce more accurate results than the traditional Macaulay duration formula. To calculate the modified duration of a bond.

## modified duration vs duration

The modified duration of a bond is the price sensitivity of a bond. It measures the percentage change in price with respect to yield. As such, it gives us a (first. Now keep this in mind as I attempt to explain “modified duration” for debt products. Modified Duration by definition expresses the sensitivity of the price of a bond. Macaulay duration is a weighted average of the time to receipt of the bond's promised payments, where the weights are the shares of the full price that. concept of 'modified duration' was developed, which offered a more precise Duration can help predict the likely change in the price of a bond given a. Macaulay duration, named after Frederick Macaulay who developed the concept, is a measure of how long it takes for the price of a bond to be. Macaulay Duration. •We find a closed form for using pre-calculus methods. We consider a bond in which the face value and redemption value are equal, i.e. F. Index duration is usually equal to the time until the next reset date, whereas spread duration is equal to a modified duration of a bond paying fixed coupon, with. Duration is a measure of the average (cash-weighted) term-to-maturity of a bond. In plain-terms – think of it as an approximation of how long it will take to recoup. Suggested by the Movement of Interest Rates, Bond Yields, and Stock in the U.S. . Mathematically, modified duration is the first order derivative of bond price. Taking our answer for the Macaulay duration in years in part (b), we can compute the modified duration for bond B by dividing by We have: modified.