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A perpetuity pays $100 each and every year forever.The duration of this perpetuity will be __________ if its yield is 9%.


A) 7
B) 9
C) 9.39
D) 12.11

E) A) and D)
F) C) and D)

Correct Answer

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A bond pays annual interest. Its coupon rate is 9%. Its value at maturity is $1,000. It matures in four years. Its yield to maturity is currently 6%. -The modified duration of this bond is ______ years.


A) 4.00
B) 3.56
C) 3.36
D) 3.05

E) A) and C)
F) A) and B)

Correct Answer

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The duration of a 5-year zero coupon bond is ____ years.


A) 4.5
B) 5.0
C) 5.5
D) 3.5

E) None of the above
F) All of the above

Correct Answer

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Where Y = yield to maturity,the duration of a perpetuity would be _________.


A) Y
B) Y/(1 + Y)
C) 1/Y
D) (1 + Y) /Y

E) All of the above
F) A) and B)

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A 20-year maturity bond pays interest of $90 once per year and has a face value of $1,000.Its yield to maturity is 10%.Over the upcoming year,you expect interest rates to decline and that the yield to maturity on this bond will only be 8% a year from now.Using horizon analysis,the return you expect to earn by holding this bond over the upcoming year is _________.


A) 10.0%
B) 12.0%
C) 21.6%
D) 29.6%

E) C) and D)
F) None of the above

Correct Answer

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Compute the modified duration of a 9% coupon,3-year corporate bond with a yield to maturity of 12%.


A) 2.45
B) 2.75
C) 2.88
D) 3.00

E) None of the above
F) A) and B)

Correct Answer

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A bond pays annual interest. Its coupon rate is 9%. Its value at maturity is $1,000. It matures in four years. Its yield to maturity is currently 6%. -The duration of this bond is _______ years.


A) 2.44
B) 3.23
C) 3.56
D) 4.10

E) All of the above
F) A) and D)

Correct Answer

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A bank has an average duration of its liabilities equal to 2 years.The bank's average duration of its assets is 3.5 years.The bank's market value of equity is at risk if _______________________.


A) interest rates fall
B) credit spreads fall
C) interest rates rise
D) the price of all fixed income securities rises

E) B) and D)
F) B) and C)

Correct Answer

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You have an investment horizon of 6 years.You choose to hold a bond with a duration of 4 years.Your realized rate of return will be larger than the promised yield on the bond if ___________________.


A) interest rates increase
B) interest rates stay the same
C) interest rates fall
D) one can't tell with the information given

E) C) and D)
F) A) and D)

Correct Answer

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A bond's price volatility _________ at a/an _________ rate as maturity increases.


A) increases; increasing
B) increases; decreasing
C) decreases; increasing
D) decreases; decreasing

E) None of the above
F) A) and B)

Correct Answer

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The duration rule always ________ the value of a bond following a change in its yield.


A) under-estimates
B) provides an unbiased estimate of
C) over-estimates
D) The estimated price may be biased either upward or downward, depending on whether the bond is trading at a discount or a premium

E) C) and D)
F) None of the above

Correct Answer

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Rank the interest sensitivity of the following from most sensitive to an interest rate change to the least sensitive. I.8% coupon,noncallable 20 year maturity,par bond II.9% coupon,currently callable 20 year maturity,premium bond III.Zero coupon,30 year maturity bond


A) I, II, III
B) II, III, I
C) III, I, II
D) III, II, I

E) All of the above
F) B) and D)

Correct Answer

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A bond portfolio manager notices a hump in the yield curve at the five year point.How might a bond manager take advantage of this event?


A) Buy the 5 year bonds and short the surrounding maturity bonds
B) Buy the 5 year bonds and buy the surrounding maturity bonds
C) Short the 5 year bonds and short the surrounding maturity bonds
D) Short the 5 year bonds and buy the surrounding maturity bonds

E) All of the above
F) B) and C)

Correct Answer

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Duration is a concept that is useful in assessing a bond's _________.


A) credit risk
B) liquidity risk
C) price volatility
D) convexity risk

E) A) and B)
F) A) and C)

Correct Answer

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A fixed income portfolio manager sets a minimum acceptable rate of return on the bond portfolio at 5% per year over the next 4 years.The portfolio is currently worth $10 million.One year later interest rates are at 6%.What is the portfolio value trigger point at this time that would require him to immunize the portfolio?


A) $12,155,063
B) $10,205,625
C) $9,627,948
D) $10,500,000

E) None of the above
F) B) and D)

Correct Answer

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The exchange of one bond for a bond with similar attributes but more attractively priced is called ______________.


A) a substitution swap
B) an intermarket spread swap
C) rate anticipation swap
D) pure yield pickup swap

E) C) and D)
F) B) and C)

Correct Answer

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Which one of the following statements correctly describes the weights used in the Macaulay duration calculation? The weight in year t is equal to ____________.


A) the dollar amount of the investment received in year t
B) the percentage of the future value of the investment received in year t
C) the present value of the dollar amount of the investment received in year t
D) the percentage of the total present value of the investment received in year t

E) A) and B)
F) A) and C)

Correct Answer

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A portfolio manager believes interest rates will drop and decides to sell short duration bonds and buy long duration bonds.This is an example of __________ swap.


A) a pure yield pick up
B) a rate anticipation
C) a substitution
D) an inter-market spread

E) None of the above
F) C) and D)

Correct Answer

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The duration of a perpetuity varies _______ with interest rates.


A) directly
B) inversely
C) convexly
D) randomly

E) A) and B)
F) C) and D)

Correct Answer

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All other things equal,a bond's duration is _________.


A) higher when the yield to maturity is higher
B) lower when the yield to maturity is higher
C) the same at all yield rates
D) indeterminable when the yield to maturity is high

E) None of the above
F) B) and C)

Correct Answer

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