Question

In: Finance

The following table summarizes the yields to maturity on several​ one-year, zero-coupon​ securities: Security Yield ​(%)...

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?

Solutions

Expert Solution

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


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