
Explanation:
First, determine the corresponding key rate '01:
Key rate'01 =
Where:
change in bond value
change in yield (0.01%)
The change in bond value here is measured in reference to the initial bond value.
Recall that:
Duration Measure =
Therefore in this case, the key rate duration with respect to the 30-year shift can be calculated as:
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Q.87 The following table provides the initial price of a C-STRIP and its present value after application of a one basis point shift in four key rates.
| Value | |
|---|---|
| Initial value | 26.11485 |
| 2-year shift | 26.11582 |
| 5-year shift | 26.11778 |
| 10-year shift | 26.13883 |
| 30-year shift | 26.01772 |
The key rate duration with respect to the 30-year shift is closest to:
A
35.55
B
26.02
C
37.19
D
97.13
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