Math Problem Statement
If 10-year T-bonds have a yield of 6.3%, 10-year corporate bonds yield 8.5%, the maturity risk premium on all 10-year bonds is 1.3%, and corporate bonds have a 0.5% liquidity premium versus a zero liquidity premium for T-bonds, what is the default risk premium on the corporate bond? Question 19Select one:
a. 1.90%
b. 1.70%
c. 2.30%
d. 2.53%
e. 2.78%
Solution
To calculate the default risk premium (DRP) on the corporate bond, we need to use the following relationship for the yield on corporate bonds:
We are given the following dataTo calculate the default risk premium (DRP) on the corporate bond, we need to use the following relationship for the yield on corporate bonds:
We are given the following
- T-bond yield = 6.3%
- Corporate bond yield = 8.5%
- Maturity risk premium (MRP) = 1.3% (same for both T-bonds and corporate bonds)
- Liquidity premium (LP) on corporate bonds = 0.5%, and for T-bonds = 0% (no liquidity premium)
Now, rearranging the formula to solve for the default risk premium (DRP):
Substituting the given values:
Let's calculate that:
So, the default risk premium on the corporate bond is 0.4%.
This is quite far from the provided answer choices, so there might be an error. Let me check again or verify...
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Math Problem Analysis
Mathematical Concepts
Bond Yields
Risk Premiums
Financial Algebra
Formulas
Corporate bond yield = T-bond yield + Default risk premium + Liquidity premium + Maturity risk premium
Default risk premium = Corporate bond yield - T-bond yield - Liquidity premium - Maturity risk premium
Theorems
-
Suitable Grade Level
Undergraduate Finance
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