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You have been provided the following key rate shifts for a five-year bond
t
Spot Rate
Key Rate Shift
1
0.16%
2
0.26%
3
0.38%
4
0.58%
5
0.77%
6
1.00%
7
1.22%
8
1.41%
9
1.60%
10
1.79%
11
1.86%
12
1.94%
13
2.01%
14
2.09%
15
2.16%
16
2.23%
17
2.31%
18
2.38%
19
2.46%
20
2.53%
21
2.57%
22
2.61%
23
2.65%
2.66%
24
2.69%
2.70%
25
2.74%
26
2.78%
27
2.82%
28
2.86%
2.87%
29
2.90%
2.91%
30
2.94%
2.95%
What is the estimate for the 30-year key rate duration for this five-year bond assuming a 1bp increase in rates across the term structure?
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