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An 8%, 30-year bond has a yield-to-maturity of 10% and a modified duration of 8.0 years. If the market yield drops by 15 basis points, there will be a ________ in the bond's price.


A) 1.15% decrease
B) 1.20% increase
C) 1.53% increase
D) 2.43% decrease

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

Correct Answer

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You have an investment that in today's dollars returns 15% of your investment in Year 1, 12% in Year 2, 9% in Year 3 and the remainder in Year 4. What is the duration of this investment?


A) 4 years
B) 3.50 years
C) 3.22 years
D) 2.95 years

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

Correct Answer

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A 20-year maturity corporate bond has a 6.5% coupon rate (the coupons are paid annually) . The bond currently sells for $925.50. A bond market analyst forecasts that in five years, yield rates on these bonds will be at 7.0%. You believe that you will be able to reinvest the coupons earned over the next five years at a 6% rate of return. What is your expected annual compound rate of return if you plan on selling the bond in five years?


A) 7.37%
B) 7.56%
C) 8.12%
D) 8.54%

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

Correct Answer

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All else equal, bond price volatility is greater for ________.


A) higher coupon rates
B) lower coupon rates
C) shorter maturity
D) lower default risk

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

Correct Answer

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Because of convexity, when interest rates change the actual bond price will ________ the bond price predicted by duration.


A) always be higher than
B) sometimes be higher than
C) always be lower than
D) sometimes be lower than

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

Correct Answer

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If an investment returns a higher percentage of your money back sooner it will ________.


A) be less price volatile
B) have a higher credit rating
C) be less liquid
D) have a higher modified duration

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

Correct Answer

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All other things equal, which of the following has the longest duration?


A) A 21-year bond with a 10% coupon yielding 10%
B) A 20-year bond with a 10% coupon yielding 11%
C) A 21-year zero coupon bond yielding 10%
D) A 20-year zero coupon bond yielding 11%

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

Correct Answer

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You have purchased a Guaranteed Investment contract (GIC) from an insurance firm that promises to pay you a 5% compound rate of return per year for 6 years. If you pay $10 000 for the GIC today and receive no interest along the way you will get ________ in 6 years (to the nearest dollar) .


A) $12 565
B) $13 000
C) $13 401
D) $13 676

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

Correct Answer

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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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Rank the interest sensitivity of the following from most sensitive to an interest rate change to the least sensitive. I. 8% coupon, non-callable 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) B) and D)
F) None of the above

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 C)
F) All of the above

Correct Answer

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The duration of a perpetuity varies ________ with interest rates.


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

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

Correct Answer

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A pension fund must pay out $1 million next year, $2 million the following year and then $3 million the year after that. If the discount rate is 8% what is the duration of this set of payments?


A) 2.00 years
B) 2.15 years
C) 2.29 years
D) 2.53 years

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

Correct Answer

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A bank's liabilities have an average duration of 2 years. Its assets have an average duration of 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 C)
F) A) and D)

Correct Answer

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Market economists all predict a rise in interest rates. An astute bond manager wishing to maximise her capital gain might employ which strategy?


A) Switch from low duration to high duration bonds.
B) Switch from high duration to low duration bonds.
C) Switch from high grade to low grade bonds.
D) Switch from low coupon to high coupon bonds.

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

Correct Answer

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Which of the following set of conditions will result in a bond with the greatest price volatility?


A) A high coupon and a short maturity.
B) A high coupon and a long maturity.
C) A low coupon and a short maturity.
D) A low coupon and a long maturity.

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

Correct Answer

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A bond has a maturity of 12 years and a duration of 9.5 years at a promised yield rate of 8%. What is the bond's modified duration?


A) 12 years
B) 11.1 years
C) 9.5 years
D) 8.8 years

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

Correct Answer

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________ is an important characteristic of the relationship between bond prices and yields.


A) Convexity
B) Concavity
C) Complexity
D) Linearity

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

Correct Answer

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A pension fund has an average duration of its liabilities equal to 15 years. The fund is looking at 5-year maturity zero coupon bonds and 4% yield perpetuities to immunise its interest rate risk. How much of its portfolio should it allocate to the zero coupon bonds to immunise if there are no other assets funding the plan?


A) 52%
B) 48%
C) 33%
D) 25%

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

Correct Answer

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An increase in a bond's yield to maturity results in a price decline that is ________ the price increase resulting from a decrease in yield of equal magnitude.


A) greater than
B) equivalent to
C) smaller than
D) The answer is uncertain

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

Correct Answer

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