Key Rate Duration

Overview


The traditional measure of duration measures the change in the price of an instrument to changes in its yield to maturity. This is typically interpreted as a parallel move of the entire yield curve upwards.

Key rate duration is designed to measure the sensitivity of the instrument's price due to changes in specific rates on the curve.
{% \frac{\Delta P}{P} = - \sum_i D_i \times \Delta y_i %}
Here {% D_i %} is the duration (sensitivity) to the {% i^{th} %} rate.

Duration and Credit


see Nawalkha chap 11

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