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Suppose that there is a parallel upward shift in the yield curve. Which of the following best explains this phenomenon? The yield:

A)
decrease is the same for all maturities.
B)
increase is the same for all maturities.
C)
increase is proportional to the original level for all maturities.



A parallel upward shift indicates an equal yield increase across all maturities.

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A yield curve is flat, and then it undergoes a non-parallel shift. After the shift, which of the following must be FALSE? The new yield curve is:

A)

curvilinear.

B)

flat.

C)

a straight line.




If a yield curve begins flat and then experiences a non-parallel shift, this means that some rates changed more than others. After the non-parallel shift the formerly flat yield curve can no longer be flat.

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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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