Question

Tom Cruise Lines Inc. issued bonds five years ago at $1,000 per bond. These bonds had a 20-year life when issued and the annual interest payment was then 13 percent. This return was in line with the required returns by bondholders at that point as described below:
Real rate of return 4 %
Inflation premium 5
Risk premium 4
Total return 13 %
Assume that five years later the inflation premium is only 3 percent and is appropriately reflected in the required return (or yield to maturity) of the bonds. The bonds have 15 years remaining until maturity. Use Appendix B and Appendix D.

Answer 1

Answer:

$1,161.23

since the coupon rate is higher than the market rate, the bonds will be priced at a premium

Explanation:

In order to calculate the current market price of the bonds we can use the yield to maturity formula:

YTM = {coupon + [(face value - market value)/n]} / [(face value + market value)/2]

• YTM = 11%
• n = 15 years
• coupon = $130
• face value = $1,000

0.11 = {130 + [(1,000 - market value)/15]} / [1,000 + market value)/2]

0.11 x [1,000 + market value)/2] = 130 + [(1,000 - market value)/15]

0.11 x (500 + 0.5M) = 130 + 66.67 - 0.067M

55 + 0.055M = 196.67 - 0.067M

0.122M = 141.67

M = 141.67 / 0.122 = $1,161.23