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Key Rate Duration

What is 'Key Rate Duration'

Key rate duration measures the duration of a security or portfolio at a specific maturity point along the entirety of the yield curve. When keeping other maturities constant, the key rate duration can be used to measure the sensitivity in a bond's price to a 1% change in yield for a specific maturity.

The calculation is as follows:

Explaining 'Key Rate Duration'

Key rate duration is an important concept in estimating the expected changes in value for a bond or portfolio of bonds because it does so when the yield curve shifts in a manner that is not perfectly parallel, which occurs often. Effective duration, another important bond metric, is an insightful duration measure that also calculates expected changes in price for a bond or portfolio of bonds given a 1% change in yield, but it is only valid for parallel shifts in the yield curve. This is why key rate duration is such valuable metric.

Calculating Key Rate Duration

The formula for calculating key rate duration uses three separate variables. They are:

Key Rate Duration Interpretation

It can be difficult to interpret an individual key rate duration because it is very unlikely that a single point on the Treasury yield curve will have a upwards or downwards shift at a single point while all others remain constant. It's useful for looking at key rate durations across the curve and looking at the relative values of key rate durations between two securities.

Key Rate Duration FAQ

What is key rate duration?

Key rate duration measures the fluctuation of a security or portfolio value at a specific maturity point on the yield curve. Keeping other maturities constant, the key rate duration is a measure of the sensitivity in a security's price to a 1% change in yield for a given maturity. Jul 1, 2019

What is key rate?

The key rate determines the interest rate of banks on debts when they don't meet up with their required reserves. The Federal Reserve or other banks may lend them for a very short period. Oct 3, 2019

What does a negative duration mean?

This is when a bond price moves along with interest rates. In other words, negative duration happens when the bond prices go up along with interest rates and vice versa. Negative duration means negative bank equity.

How do you interpret convexity?

A convexity number is the percent change in modified duration from a 1% change in yield. The impact of including convexity in a price change calculation for a 1% change in yield is estimated by multiplying the convexity by 1%^2=1%*1%. Nov 20, 2010

What does duration mean?

Duration is a measure of the bond’s sensitivity to interest rate changes.

How do you calculate effective duration?

How to Calculate Effective Duration V–Δy – The bond's value if the yield falls by a certain percentage. V+Δy – The bond's value if the yield rises by a certain percentage. V0 – The current value of cash flows (i.e. the bond's price) Δy – The change in the yield value.

Is high convexity good or bad?

High convexity implies a dramatic change in price given a move in interest rates. If your bond continues to experience negative convexity, it loses value. Jun 25, 2013

Further Reading


The Heath–Jarrow–Morton duration and convexity: A generalized approach
www.worldscientific.com [PDF]
[8] X. Wu, A new stochastic duration based on the Vasicek … [12] W. Phoa and M. Shearer, A note on arbitrary yield curve reshaping sensitivities using key rate durations, J. Fixed Income 7 (1997) 67–71 … [18] AP Carverhill, When is the short rate Markovian?, Mathematical Finance …

Interest Rate Risk of Stock Prices in Nigeria: Empirical Test of the Duration and Convexity ModelInterest Rate Risk of Stock Prices in Nigeria: Empirical Test of the Duration and Convexity Model
journals.sagepub.com [PDF]
[8] X. Wu, A new stochastic duration based on the Vasicek … [12] W. Phoa and M. Shearer, A note on arbitrary yield curve reshaping sensitivities using key rate durations, J. Fixed Income 7 (1997) 67–71 … [18] AP Carverhill, When is the short rate Markovian?, Mathematical Finance …

The structured finance market: An investor's perspectiveThe structured finance market: An investor's perspective
www.tandfonline.com [PDF]
[8] X. Wu, A new stochastic duration based on the Vasicek … [12] W. Phoa and M. Shearer, A note on arbitrary yield curve reshaping sensitivities using key rate durations, J. Fixed Income 7 (1997) 67–71 … [18] AP Carverhill, When is the short rate Markovian?, Mathematical Finance …

The relevance of MCDM for financial decisionsThe relevance of MCDM for financial decisions
onlinelibrary.wiley.com [PDF]
[8] X. Wu, A new stochastic duration based on the Vasicek … [12] W. Phoa and M. Shearer, A note on arbitrary yield curve reshaping sensitivities using key rate durations, J. Fixed Income 7 (1997) 67–71 … [18] AP Carverhill, When is the short rate Markovian?, Mathematical Finance …

Factors determining constant work rate exercise tolerance in COPD and their role in dictating the minimal clinically important difference in response to interventionsFactors determining constant work rate exercise tolerance in COPD and their role in dictating the minimal clinically important difference in response to interventions
www.tandfonline.com [PDF]
[8] X. Wu, A new stochastic duration based on the Vasicek … [12] W. Phoa and M. Shearer, A note on arbitrary yield curve reshaping sensitivities using key rate durations, J. Fixed Income 7 (1997) 67–71 … [18] AP Carverhill, When is the short rate Markovian?, Mathematical Finance …



Q&A About Key Rate Duration


Is there any way to look at key rate durations across the curve and looking at relative values of key rates between two securities?

Yes, by using graphs and charts.

What is the Key Rate Duration?

The Key Rate Duration is a measure of interest rates that shows how long it will take for a change in interest rates to be reflected in the value of a bond.

Why is it difficult to interpret an individual key rate duration?

It's difficult because it's unlikely that a single point on the Treasury yield curve will have a upwards or downwards shift at a single point while all others remain constant.

What does duration tell you about changes in interest rates?

It tells you how long it takes for an increase or decrease in interest rates to affect the price of your bond.

How do you calculate key rate duration?

The formula for calculating key rate duration uses three separate variables. They are

How do you calculate duration?

You can calculate duration by using this formula, "Duration = ((Current Price - Par Value) / (1 + Interest Rate)) x Time".

What is key rate duration?

Key rate duration measures the duration of a security or portfolio at a specific maturity point along the entirety of the yield curve.

What are some examples of bonds with different durations?

Bonds with shorter durations include corporate bonds and government bonds while longer-duration bonds include Treasury Inflation Protected Securities (TIPS).

How do you use Key Rate Duration?

You can use Key Rate Duration when making investment decisions. For example, if the current rate on your bond is higher than its key rate, then there may be an opportunity to sell your bond at a profit because its value will fall as interest rates rise. On the other hand, if the current rate on your bond is lower than its key rate, then there may be an opportunity to buy your bond at a discount because its value will rise as interest rates fall.