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A treasury bond that matures in 10 years has a yield of 3%

Finance

A treasury bond that matures in 10 years has a yield of 3%. A 10-year corporate bond has a yield of 5%. Assume that the liquidity premium on the corporate bond is 0.5%. What is the default risk premium on the corporate bond?

(Hint: For a treasury bond, Liquidity premium = Default Risk Premium = 0. Here, treasury and corporate bonds have the same inflation premium and maturity risk premium since they both mature in 10 years. So, the difference between the 10-year corporate yield and 10-year treasury yield should be equal to the sum of the liquidity premium and default risk premium on the 10-year corporate bond.)

 

Selected Answer: 2%

 

Answers:

 

1.5%

 

 

2%

 

 

2.5%

 

 

3%

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Computation of Default Risk Premium:

Given,

Yield on Corporate Bond = 5%

Risk-free Rate = 3%

Liquidity Premium = 0.50%

 

Yield on Corporate Bond = Risk-free Rate + Liquidity Premium + Default Risk Premium

 

5% = 3%+0.50%+ Default Risk Premium

5% = 3.50% + Default Risk Premium

Default Risk Premium = 5%-3.50% = 1.50%