You have been provided the following key rate shifts for a five-year bond
|
t
|
Spot Rate
|
Key Rate Shift
|
|
1
|
0.16%
|
0.16%
|
|
2
|
0.26%
|
0.26%
|
|
3
|
0.38%
|
0.38%
|
|
4
|
0.58%
|
0.58%
|
|
5
|
0.77%
|
0.77%
|
|
6
|
1.00%
|
1.00%
|
|
7
|
1.22%
|
1.22%
|
|
8
|
1.41%
|
1.41%
|
|
9
|
1.60%
|
1.60%
|
|
10
|
1.79%
|
1.79%
|
|
11
|
1.86%
|
1.86%
|
|
12
|
1.94%
|
1.94%
|
|
13
|
2.01%
|
2.01%
|
|
14
|
2.09%
|
2.09%
|
|
15
|
2.16%
|
2.16%
|
|
16
|
2.23%
|
2.23%
|
|
17
|
2.31%
|
2.31%
|
|
18
|
2.38%
|
2.38%
|
|
19
|
2.46%
|
2.46%
|
|
20
|
2.53%
|
2.53%
|
|
21
|
2.57%
|
2.57%
|
|
22
|
2.61%
|
2.61%
|
|
23
|
2.65%
|
2.66%
|
|
24
|
2.69%
|
2.70%
|
|
25
|
2.74%
|
2.74%
|
|
26
|
2.78%
|
2.78%
|
|
27
|
2.82%
|
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?