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Key Rate Duration qn in 2011 mock morning

Key Rate duration profile for treasury bond portfolio:
Key Rate  Portfolio A   Portfolio B   Portfolio C
3 mths      0.3                0.2               0.9
2 yrs          0.4                0.2               0.9
5 yrs          0.4                2.3               1.1
10 yrs        3.6                0.3               0.9
20 yrs        0.5                0.3               1.0
30 yrs        0.4                2.3               0.8
Which portfolio will perform worst if interest rates increase in a positive butterfly twist fashion.
Shouldn’t the answer be portfolio C since it has high key rate duration for shorter and longer term maturity bonds and is otherwise known as barbell portfolio.

thanks for the insight summerside

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this is always tricky when they are talking about Butterflly movements since you don’t know the extent of the butterfly. In a butterfly, the very begining and the very end of the curve are the most affected so let’s assume that rate 3 months and 30 years are the most affected, then it would be portfolio B the most affected since 2.3+0.2 is bigger than 0.8+0.9

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