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 Q21. A coupon bond that pays interest annually has a par value of $1,000, matures in 5 years, and has a yield to maturity of 10%. What is the value of the bond today if the coupon rate is 8%? ffice ffice" /> 
A)   $2,077.00. 
B)   $1,500.00. 
C)   $924.18. 
Correct answer is C)          
FV = 1,000 N = 5 I = 10 PMT = 80 Compute PV = 924.18. 
  
Q22. A bond with a 12% coupon, 10 years to maturity and selling at 88 has a yield to maturity of: 
A)   between 13% and 14%. 
B)   over 14%. 
C)   between 10% and 12%. 
Correct answer is B)          
PMT = 120; N = 10; PV = -880; FV = 1,000; CPT → I = 14.3 
  
Q23. What value would an investor place on a 20-year, $1,000 face value, 10% annual coupon bond, if the investor required a 9% rate of return?  
A)   $920. 
B)   $879. 
C)   $1,091. 
Correct answer is C)         
N = 20; I/Y = 9; PMT = 100 (0.10 × 1,000); FV = 1,000; CPT → PV = 1,091. 
  
Q24. Today an investor purchases a $1,000 face value, 10%, 20-year, semi-annual bond at a discount for $900. He wants to sell the bond in 6 years when he estimates the yields will be 9%. What is the estimate of the future price?  
A)   $1,152. 
B)   $946. 
C)   $1,079. 
Correct answer is C)          
In 6 years, there will be 14 years (20 ? 6), or 14 × 2 = 28 semi-annual periods remaining of the bond's life So, N = (20 ? 6)(2) = 28; PMT = (1,000 × 0.10) / 2 = 50; I/Y = 9/2 = 4.5; FV = 1,000; CPT → PV = 1,079. 
Note: Calculate the PV (we are interested in the PV 6 years from now), not the FV. 
  
Q25. An investor purchased a 6-year annual interest coupon bond one year ago. The coupon rate of interest was 10% and par value was $1,000. At the time she purchased the bond, the yield to maturity was 8%. The amount paid for this bond one year ago was:  
A)   $1,125.53. 
B)   $1,092.46. 
C)   $1,198.07. 
Correct answer is B) 
N = 6 PMT = (0.10)(1,000) = 100 I = 8 FV = 1,000 PV = ? PV = 1,092.46 
  
Q26. A bond with a face value of $1,000 pays a semi-annual coupon of $60. It has 15 years to maturity and a yield to maturity of 16% per year. What is the value of the bond?  
B)   $774.84. 
B)   $697.71. 
C)   $832.88. 
Correct answer is B) 
FV = 1,000; PMT = 60; N = 30; I = 8; CPT → PV = 774.84 
  
Q27. A coupon bond that pays interest semi-annually has a par value of $1,000, matures in 5 years, and has a yield to maturity of 10%. What is the value of the bond today if the coupon rate is 8%?  
A)   $1,221.17. 
B)   $922.78. 
C)   $1,144.31. 
Correct answer is B) 
FV = 1,000; N = 10; PMT = 40; I = 5; CPT → PV = 922.78. 
  
Q28. A coupon bond that pays interest annually has a par value of $1,000, matures in 5 years, and has a yield to maturity of 10%. What is the value of the bond today if the coupon rate is 12%?  
A)   $927.90. 
B)   $1,077.22 
C)   $1,075.82. 
Correct answer is C) 
FV = 1,000 N = 5 I = 10 PMT = 120 PV = ? PV = 1,075.82. 
  
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