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

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

 

Correct answer is A)fficeffice" />

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

Change in Portfolio Value

Change from 3-month key rate increase:

(20 bp)(0.0265)

= 0.0053% decrease

Change from 5-year key rate increase:

(90 bp)(0.4195)

= 0.3776% decrease

Change from 30-year key rate decrease:

(150 bp)(0.8865)

= 1.3298% increase

Net change

 

0.9469% increase

This means that the portfolio value after the yield curve shift is:

1,000,000(1 + 0.009469) = $1,009,469.00

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