First, determine the corresponding key rate '01:
Key rate'01 = −10,000×ΔyΔBV
Where:
ΔBV= change in bond value
Δy= change in yield (0.01%)
The change in bond value here is measured in reference to the initial bond value.
=−10,000×0.01%26.01772−26.11485=0.09713
Recall that:
Duration Measure = Value of the Portfolio10,000×(01 Measure)
Therefore in this case, the key rate duration with respect to the 30-year shift can be calculated as:
⇒Key Rate Duration=26.1148510,000×0.09713=37.19