Key rate duration of the portfolio


Question 1:

A) A bond portfolio consists of the following debt securities:

Bond 1:    3-year, zero-coupon note; $1,200,000 holdings
Bond 2:    7-year, zero-coupon note; $1,500,000 holdings
Bond 3:    10-year, zero-coupon note; $1,650,000 holdings
Bond 4:    25-year, zero-coupon bond; $1,000,000 holdings

The key rate duration of the portfolio is closest to

a.    10.22
b.    10.39
c.    11.15
d.    11.25

B) The portfolio in Question 1a, most closely resembles a

a.    Ladder portfolio
b.    Barbell portfolio
c.    Bullet portfolio
d.    Structured portfolio

Question 2:

A) The modified duration for a 2-year Treasury note with a 6 percent coupon and selling for 107-5/8 is closest to

a.    1.89
b.    1.92
c.    2.00
d.    3.84

B) If the Macaulay duration of a bond is 7, the convexity is 36, and the YTM is 5.2 percent the total percentage change in price to a 165 basis points decrease in market interest rates is closest to

a.    -12.22
b.    -10.26
c.    10.26
d.    12.22

C) Pension funds generally adhere most closely to

a.    The pure expectations theory
b.    The preferred habitat theory
c.    The market segmentation theory
d.    The liquidity theory

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