# Modified Duration of a Bond

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 produces a more accurate estimate of bond price sensitivity.

$Modified Duration (MD) = \frac{D}{\left (1+ \frac{y}{m} \right )}$

m is the # of compounding period per year.

The relationship between percentage changes in bond prices and changes in bond yields is approximately:

$\frac{\triangle P}{P}=\triangle \% P\approx -MD \times \triangle y$

**Example**

Assume a 5-year bond, providing a coupon of 5%, with a current yield of 7%.

The Duration of the bond is 4.52.

The modified duration will be:

MD = 4.52/(1.07) = 4.23

**Interpretation**

The modified duration of the bond is 4.23. This means that the price of the bond will increase to 4.23 with a 1% or 100 basis point increase in interest rates.

Modified duration provides a good indication of a bond's sensitivity to a change in interest rates. The more your duration changes with a 1% increase in interest rates, the more volatility your bond will exhibit.

Get smart about tech at work.

As a non-technical professional, learn how software works with simple explanations of tech concepts. Learn more...

- What is Macaulay Duration?
- Duration of a Bond - Video
- Calculating the Macaulay Duration Using Excel
- Properties of Duration
- Modified Duration of a Bond
- Calculating Price and Yield of a Bond Using Zero Curve
- Price-Yield Relationship
- Current Yield of a Bond
- Basis Point Value (BPV / DV01)
- Quick Approximation of Price Value of a Basis Point (PVBP)

# Data Science for Finance Bundle: 43% OFF

**Data Science for Finance Bundle**for just $29 $51.