# Assignment on Bonds

Topics: Bond, Bonds, Yield Pages: 3 (848 words) Published: December 22, 2014
﻿HOMEWORK ASSIGNMENT
1. Callaghan Motors’ bonds have 10 years remaining to maturity. Interest is paid annually, they have a \$1,000 par value, the coupon interest rate is 8%, and the yield to maturity is 9%. What is the bond’s current market price?

PV factor of sum = (1+i)^-n
= (1+9%)^-10
=1.09^-10
= 0.4224
PV factor of annuity = 1 - (1+i)^-n / i
= 1 - (1+9%)^-10 / 9%
= 1 - 0.4224 / 9%
= 0.5775 / 9%
= 6.417
= PV factor of Sum * Par Value + PV factor of annuity * coupon payment

= 0.4224 * 1,000 + 6.417 * 80

= 422.4 + 513.3

= 935.76

2. An investor has two bonds in his portfolio that have a face value of \$1,000 and pay a 10% annual coupon. Bond L matures in 15 years, while Bond S matures in 1 year. a. What will the value of each bond be if the going interest rate is 5%, 8%, and 12%? Assume that only one more interest payment is to be made on Bond S at its maturity and that 15 more payments are to be made on Bond L. b. Why does the longer-term bond’s price vary more than the price of the shorter-term bond when interest rates change?

3. Heymann Company bonds have 4 years left to maturity. Interest is paid annually, and the bonds have a \$1,000 par value and a coupon rate of 9%. a. What is the yield to maturity at a current market price of (1) \$829 and (2) \$1,104? b. Would you pay \$829 for each bond if you thought that a “fair” market interest rate for such bonds was 12%—that is, if rd ¼ 12%? Explain your answer. VB =

M = \$1,000. PMT = 0.09(\$1,000) = \$90.

1.VB = \$829: Input N = 4, PV = -829, PMT = 90, FV = 1000, YTM = I/YR = ? I/YR = 14.99%.

2.VB = \$1,104: Change PV = -1104, YTM = I/YR = ? I/YR = 6.00%.

b.Yes. At a price of \$829, the yield to maturity, 15%, is greater than your required rate of return of 12%. If your required rate of return were 12%, you should be willing to buy the bond at any price below \$908.88.

4. Robert Black and Carol Alvarez are vice presidents of Western Money Management and...