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Mathematics of Finance
Exam 6: Bonds
Path 4
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Question 41
Multiple Choice
A 10-year $5000 bond redeemable at par,is purchased by Ms.Gates that pays coupons at j
2
= 6%.She purchases the bond for $3753.78 to yield j
2
= 10%.She then immediately sells all of the coupons to another investor at a price of $2038.55.What rate of return,j
2
does Ms.Gates earn on her investment?
Question 42
Multiple Choice
A $20,000 bond is redeemable at 105 in 15 years and pays bond interest at j
2
= 12%.The purchase price is $22,200 based on a yield rate of j
2
= x%.Determine Ć using the method of averages.
Question 43
Multiple Choice
The market (or clean) price of a bond on June 15,2010 is 102.75.The accrued interest on this date is $10.27.If an investor wishes to purchase $1200 worth of this bond,what is the full (or dirty) price?
Question 44
Multiple Choice
The ABC Corporation issues a 20-year $1000 par value bond with bond interest at j
2
= 6%.The bond is callable as early as the end of 10 year at $1100.The price of the bond to yield j
2
= 5% is ⢠$1125.51 assuming the bond is held to maturity. ⢠$1138.97 assuming the bond is called at the end of 10 years. In which of the following situations would the actual yield rate more than 5%? (i) An investor pays $1138.97 for the bond and it is held to maturity; (ii) An investor pays $1125.51 for the bond and it is called at the end of 15 years.
Question 45
Multiple Choice
A bond,paying semi-annual coupons of $60 is purchased to yield j
2
= 13%.The absolute value of the write up (book value adjustment) in the 6
th
coupon period is $5.81.What is the interest on the book value for the 11
th
coupon,I
11
?
Question 46
Multiple Choice
A $10,000 bond pays semi-annual coupons at j
2
= 7% every March 2 and September 2.The bond is redeemable at par and is purchased between coupon dates on May 15,2010 to yield j
2
= 6.5%.At the time of purchase there are 10 coupons remaining to be paid,plus the redemption value.What is the full (or dirty) price of the bond on May 15,2010?
Question 47
Multiple Choice
A $1000 bond with semi-annual coupons at j
2
= 6% (Feb.1 and Aug.1 of every year) is sold for $980 on August 1,2007.It is bought for $920 on February 1,2000.Using the method of averages,what is the yield rate,j
2
?
Question 48
Multiple Choice
Which of the following statements is true about an inverted yield curve?
Question 49
Multiple Choice
Which of the following statements is (are) true? (I) A bond has level coupons payable at j
2
= 5% and is redeemable C) at par.If this bond is purchased at a price (P) based on j
2
= 6.5%,then P > C.(II) The full (or dirty) price of a bond is always greater than the market (or clean) price of the bond.
Question 50
Multiple Choice
A $1000 bond paying coupons at j
2
= 11% is redeemable at par on November 29,2013.When it is purchased on October 5,2010,the quoted price is Q = $ 1141.59 to yield j
2
= 6%.What is the full (or dirty) price on October 5,2010?
Question 51
Multiple Choice
A $1000 bond with a redemption date of February 1,2024 is purchased on October 7,2010.The quoted price,q,is 104.25.The bond is redeemable at par and pays interest at j
2
= 11%.What is the purchase price (full or dirty price) of the bond?