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What is a key rate duration and how to calculate it?


The duration of the key rate measures the sensitivity of bonds to the displacement of interest rates at certain dates of maturity along yield curve. Unlike traditional measuring data on duration, which assume parallel movements of interest rates, the duration of the key rate isolates changes in different matters to evaluate their influence on the price of the bond. This metric is particularly useful to assess exposure to the risk of interest rates when the shifts of the yield are uneven.

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Unlike the traditional duration Metrics, which assume that uniform interest rates are changing, the duration of the key rate isolates movements in certain maturity, allowing investors to analyze that changes in certain parts of the curve affect bond prices. This difference is particularly useful when assessing securities with built -in options, such as mortgage value and bonds that can be called, where interest rates do not affect all maturity equally.

The duration of the key rate is especially relevant to understanding the influence of non-parableal shift curves of yield, such as flattening or patience of trends. For example, if short -term rates increase, while long -term rates remain stable, traditional duration measures can be able to capture the right impact on the price of the bond.

Focusing on individual key rates, investors and Financial advisers It can improve interest rates, making informed decisions to select bonds, protection strategies and portfolio risk management.

The duration of the key rate is calculated by the use of small shifts to individual points on the yield curve and measure the resulting change in the bond price. The formula follows the standard calculation of the duration, but isolate the impact of a speed change to a particular maturity:

Key speed duration = (p– p+) ÷ (2 × 0.01 × P0)

  • P-: Bond price after changing the rate downward at the selected match.

  • P+: Bond price after changing the rate up at the same point of maturity.

  • P0: Original bond price before any rate changes.

Repeating this multi -maturity procedure provides a detailed representation of how different segments of the yield curve affect the price of bonds. This method allows investors with fixed income to evaluate the risk of interest rates with greater precision.

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Consider a 10-year bond at a price of $ 1,000 with a 3%yield. Suppose a five -year -old key rate grows by 25 basic points while all other rates remain unchanged. If the price of the bond drops to $ 990, and a similar drop of 25 points stimulates the price at $ 1,010, the five -year duration of the key rate would be:



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