# What Is Duration To Worst?

## What is difference between duration and modified duration?

The Macaulay duration calculates the weighted average time before a bondholder would receive the bond’s cash flows.

Conversely, modified duration measures the price sensitivity of a bond when there is a change in the yield to maturity..

## How do you calculate modified?

To calculate modified duration, you take the answer above and divide it by the sum of 1 and the bond’s yield to maturity. So 1.952 / (1 + 5%) = 1.859. The modified duration tells you how much the price of a bond will change for a given change in its yield.

## What is effective duration?

Effective duration is a duration calculation for bonds that have embedded options. … The impact on cash flows as interest rates change is measured by effective duration. Effective duration calculates the expected price decline of a bond when interest rates rise by 1%.

## How do you calculate portfolio modified duration?

Solve the formula 1/(1+i) to calculate the modified duration factor; “i” represents the market yield divided by 2. Multiply the Macaulay duration by the modified duration factor. The result is the modified duration, which represents the approximate change in bond value for a 100 basis point change in interest rates.

## Why is duration better than maturity?

Each measure plays a key role in helping bond investors evaluate interest-rate risk, but duration is the more complex of the two. … A bond’s maturity is the length of time until the principal must be paid back. So a 10-year bond will earn interest for 10 years from the date it is purchased.

## What is duration to worst?

Modified Duration to Worst—Yield change calculated to the priced to worst date; generally used to reflect the behavioral characteristics of a bond as of a specific price/yield and date; consistent with industry calculations, always calculated to the priced to worst date, including all call features.

## What is duration risk?

Duration risk is the name economists give to the risk associated with the sensitivity of a bond’s price to a one percent change in interest rates. The higher a bond’s duration, the greater its sensitivity to interest rates changes.

## How do you calculate modified duration?

Modified duration is a measure of a bond price sensitivity to changes in its yield to maturity. It is calculated by dividing the Macaulay’s duration of the bond by a factor of (1 + y/m) where y is the annual yield to maturity and m is the total number of coupon payments per period.

## Is high modified duration good?

The modified duration provides a good measurement of a bond’s sensitivity to changes in interest rates. The higher the Macaulay duration of a bond, the higher the resulting modified duration and volatility to interest rate changes.

## Is Modified duration measured in years?

The second type of duration is called “modified duration” and, unlike Macaulay duration, is not measured in years. Modified duration measures the expected change in a bond’s price to a 1% change in interest rates.

## What is the purpose of modified duration?

Modified duration is a formula that expresses the measurable change in the value of a security in response to a change in interest rates. Modified duration follows the concept that interest rates and bond prices move in opposite directions.

## How do you calculate modified duration in Excel?

The formula used to calculate a bond’s modified duration is the Macaulay duration of the bond divided by 1 plus the bond’s yield to maturity divided by the number of coupon periods per year. In Excel, the formula used to calculate a bond’s modified duration is built into the MDURATION function.