Exam 18: Duration and Bond Portfolio Management

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The highest duration and maximum price sensitivity relative to years to maturity are produced by:

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Compute the duration for the data in this problem using a discount rate of 12%. Year, t 1 2 3 3 Cash Flow 90 90 90 1000

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The only difference between the simple weighted average life of a bond and duration of a bond is:

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For all bonds of equal risk, the type of bond that had the greatest duration, and therefore the greatest price sensitivity, is:

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The process of measuring the effect of a shift in market interest rates on the value of an investment is called:

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Duration represents the weighted average life of a bond where the weights are based on the:

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You are considering the purchase of two $1,000 bonds, both issued by Tranig Corp. Your expectation is that interest rates will drop, and you want to buy the bond which provides the maximum capital gains potential. The first Tranig bond has a coupon rate of 6% with five years to maturity, while the second has a coupon rate of 9% and comes due six years from now. If market rates of interest are 8% for both bonds, which bond has the best price potential? (Use duration to answer the question.) Coupon rate 6% (1) (2) (3) (4) (5) (6) PV Factor PV of Weights 1 \ 60 .926 \ 55.56 .06035 .06035 2 60 .857 51.42 .05585 .11170 3 60 .794 47.64 .05175 .15525 4 60 .735 44.10 .04790 .19160 5 60 .681 40.86 .04438 .22190 5 1,000 .681 .73975 \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  PV of Bond =$920.58 Duration =4.43955\text { PV of Bond }=\$ 920.58 \quad \text { Duration }=4.43955 Coupon rate 9% (1) (2) (3) (4) (5) (6) PV Factor PV of Weights 1 \ 90 .926 \ 83.34 .07967 .07967 2 90 .857 77.13 .07373 .14746 3 90 .794 71.46 .06831 .20493 4 90 .735 66.15 .06325 .25292 5 90 .681 61.29 .05859 .29295 6 90 .630 56.70 .05421 .32526 6 1,000 .630 630.00 .60225 .3.61350 \quad \quad \quad \quad \quad \quad \quad \quad \quad  PV of Bond =$1046.07 Duration =4.91669\text { PV of Bond } = \$ 1046.07 \quad \text { Duration } = 4.91669

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Weighted average life is the most representative value for effective bond life.

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Assume you buy a 20-year, $1,000 par value zero-coupon bond that provides a 12% yield to maturity. Almost immediately after you buy the bond, yields decrease to 9%. What will be the percentage gain on the investment?

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One of the major criticisms of duration analysis is:

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When duration of a coupon paying bond is plotted against years to maturity on the X axis, the line:

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Duration is:

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The duration on an 8%, 25-year bond is ______ the duration on a 9%, 30-year bond.

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There is an inverse relationship between interest rates and bond values, and between the amount of coupon payments and weighted average life.

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Duration is affected primarily by:

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