Suppose the current 1-year US treasury rate is 3.00%.
A. Calculate the yield for a $100 face value 1-year corporate bond
with a 3% coupon and a 2.5% probability of default.
B. What is the risk premium, if any, for this bond?
Answer: We will have to calculate the expected yield in this scenario as there are two probabilities.
one with 0.975 chances of getting the coupon value of $3 and other with 0.025 with no coupon amount
Expected yield = 0.975 * $3 + 0.025 * 0
Expected yield in % = 2.925 /100 = 2.925%
Answer B : Risk Premium = Market return - risk free return
Market return here is Expected return yield for the bond
Risk premium = 2.925 - 3%
Risk premium is in negative here = -0.075%
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