Problem 7-4 Yield to maturity A firm\'s bonds have a maturity of 8 years with a
ID: 2647094 • Letter: P
Question
Problem 7-4
Yield to maturity
A firm's bonds have a maturity of 8 years with a $1,000 face value, have an 8% semiannual coupon, are callable in 4 years at $1,043, and currently sell at a price of $1,085.94.
What is their nominal yield to maturity? Round your answer to two decimal places.
%
What is their nominal yield to call? Round your answer to two decimal places.
%
Problem 7-11
Bond yields
One year ago Clark Company issued a 10-year, 15% semiannual coupon bond at its par value of $1,000. Currently, the bond can be called in 6 years at a price of $1,075, and it now sells for $1,280.
What is the bond's nominal yield to maturity? Round your answer to two decimal places.
%
What is the bond's nominal yield to call? Round your answer to two decimal places.
%
What is the current yield? (Hint: Refer to Footnote 7 for the definition of the current yield and to Table 7.1.) Round your answer to two decimal places.
%
What is the expected capital gains (or loss) yield for the coming year? Round your answer to two decimal places.
%
Explanation / Answer
Answer:
Yield to maturity = [C + {(F-P)/n}] / [(F+P)/2]
C = Interest Payment = $1000*8% *6/12 = $40
F = face value = $1000
P = Price = $1085.94
n = number of periods = 8 year * 2 = 16 Semiannual
Yield to maturity = [40 + {(1000-1085.94)/16}] / [(1000+1085.94)/2]
= [40 -5.37125] / [1042.94]
= 0.0332
= 3.32%
Yield to call = [C + {(K-P)/n}] / [(K+P)/2]
C = Interest Payment = $1000*8% *6/12 = $40
K = Call Price = $1043
P = Price = $1085.94
n = number of periods to call = 4 year * 2 = 8 Semiannual
Yield to call = [40 + {(1043-1085.94)/8}] / [(1043+1085.94)/2]
= [40 -5.3675] / [1064.47]
= 0.0325
= 3.25%