Bond Valuation Clifford Clark is a recent retiree who is interested in investing
ID: 2734310 • Letter: B
Question
Bond Valuation Clifford Clark is a recent retiree who is interested in investing some of his savings in corporate bonds. His financial planner has suggested the following bonds:
o Bond A has a 7% annual coupon, matures in 12 years, and has a $1,000 face value.
o Bond B has a 9% annual coupon, matures in 12 years, and has a $1,000 face value.
o Bond C has an 11% annual coupon, matures in 12 years, and has a $1,000 face value.
Each bond has a yield to maturity of 9%.
A. Mr. Clark is considering another bond, Bond D. It has an 8% semiannual coupon and a $1,000 face value (i.e., it pays a $40 coupon every 6 months). Bond D is scheduled to mature in 9 years and has a price of $1,150. It is also callable in 5 years at a call price of $1,040.
i. What is the bond’s nominal yield to maturity?
ii. What is the bond's nominal yield to call?
iii. If Mr. Clark were to purchase this bond, would he be more likely to receive the yield to maturity or yield to call? Explain your answer.
B. Explain briefly the difference between price risk and reinvestment risk. Which of the following bonds has the most price risk? Which has the most reinvestment risk?
i. A 1-year bond with a 9% annual coupon
ii. A 5-year bond with a 9% annual coupon
iii. A 5-year bond with a zero coupon
iv. A 10-year bond with a 9% annual coupon
v. A 10-year bond with a zero coupon
Explanation / Answer
PV= -1150
PTM = 80/2= 40
FV = 1000
CPT I/Y = 2.92%
YTM = 2*2.29% = 5.83%
PV= -1150
PTM = 80/2= 40
FV = 1040
CPT I/Y = 2.63%
YTM = 2*2.63% = 5.26%
B. Interest rate risk- the sensistivity of a bonds market value sto changes in market interest rates. As YTM increases the value will decrease and vice versa . the sensitivity increase with time to maturity and decreases with the coupon rate. Bond IV has the greatest interest rate risk- a zero coupon bond with the longest time to maturity.