In: Finance
The following table summarizes the yields to maturity on several one-year, zero-coupon securities:
Security |
Yield (%) |
Treasury |
3.08 |
AAA corporate |
3.20 |
BBB corporate |
4.22 |
B corporate |
4.87 |
a. What is the price (expressed as a percentage of the face value) of a one-year, zero-coupon corporate bond with a AAA rating?
b. What is the credit spread on AAA-rated corporate bonds?
c. What is the credit spread on B-rated corporate bonds?
d. How does the credit spread change with the bond rating? Why?
a.
Price of one year AAA rated zero coupon bond = 1,000/(1.032) = $968.99
b.
Credit Spread on AAA rated bond = 0.032 - 0.0308 = 0.12%
b.
Credit Spread on B rated bond = 0.0487 - 0.0308 = 1.79%
c.
As bond rating decreases, credit spread on bond increases due to credit default risk