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回复:(youzizhang)[2009] Session 14-Reading 54: ...

3x

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f

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a

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3x

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a

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 thanks

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[2009] Session 14-Reading 54: Term Structure and Volatility of Interest Rates

 

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Correct answer is A)

Key Rate Durations

Issue

Value ($1,000's)

weight

3 mo

2 yr

5 yr

10 yr

15 yr

20 yr

25 yr

30 yr

Effective Duration

Bond 1

100

0.10

0.03

0.14

0.49

1.35

1.71

1.59

1.47

4.62

11.4

Bond 2

200

0.20

0.02

0.13

1.47

0.00

0.00

0.00

0.00

0.00

1.62

Bond 3

150

0.15

0.03

0.14

0.51

1.40

1.78

1.64

2.34

2.83

10.67

Bond 4

250

0.25

0.06

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.06

Bond 5

300

0.30

0.00

0.88

0.00

0.00

1.83

0.00

0.00

0.00

2.71

Total Portfolio

 

1.00

0.0265

0.325

0.4195

0.345

0.987

0.405

0.498

0.8865

3.8925

The portfolio key rate duration for a specific maturity is the weighted value of the key rate durations of the individual issues for that maturity. In this case, the 10-year key rate duration for the portfolio is:

(0.10)(1.35) + (0.20)(0.00) + (0.15)(1.40) + (0.25)(0.00) + (0.30)(0.00) = 0.345

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