# HMW Chp5

Topics: Bond, Bonds, Yield Pages: 2 (275 words) Published: April 22, 2015
﻿Problems
(5-5) A Treasury bond that matures in 10 years has a yield of 6%. A 10-year corporate bond has a yield of 9%. Assume that the liquidity premium on the corporate bond is 0.5%. What is the default risk premium on the corporate bond? Maturity = 10 years

rtbond = 6%
rcbond = 9%
rd= r* + IP + DRP + LP + MRP
Default Risk Premium (DRP) = 9% - 6% + 0.5% = 2.5%
(5-7) Renfro Rentals has issued bonds that have a 10% coupon rate, payable semiannually. The bonds mature in 8 years, have a face value of \$1,000, and a yield to maturity of 8.5%. What is the price of the bonds?

FV = 1,000
PMT = 50 = (10%*\$1,000)/2
n= 16 = 8*2 = 16
r =4.25 % = 8.5% / 2
= \$1,085.80
(5-12) A 10-year, 12% semiannual coupon bond with a par value of \$1,000 may be called in 4 years at a call price of \$1,060. The bond sells for \$1,100. (Assume that the bond has just been issued.)
a. What is the bond’s yield to maturity?
n = 20 = 10*2
PMT = (12% * \$1,000)/2 = 60
FV = \$1,000
PV = -\$1,100
I/Y = 5.1849 (semi annual)
= 5. 1849*2 (annual)
YTM =10,37%
b. What is the bond’s current yield?
Ann. Coupon = \$120
Price = \$1.100
Current yield = 120 / 1.100 = 10,91%
c. What is the bond’s capital gain or loss yield?
YTM = 10,37 %
Current yield = 10,91 %
Capital gain / loss yield = 10,37 % - 10,91 % = -0,54%
d. What is the bond’s yield to call?
n = 4*2 = 8
PMT= (12%*\$1,000)/2 = \$60
PV = - \$1,100
FV = \$1,060
YTC = 10,15%
an advantage to calling the bonds, rather than seeing them to maturity.