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The probability of default on a bond is 3%, and in the case of default, investors expect to lose 70% of their investment. The bond's risk premium is 1.9%. The expected loss and the credit spread of the bond are, respectively:
Correct Answer: A
The expected loss on a bond can be calculated as the probability of default times the loss given default. For this bond: * Probability of default = 3% * Loss given default = 70% Expected loss = 0.03 * 0.70 = 0.021 or 2.1%. The credit spread includes both the risk premium and the expected loss. Given the bond's risk premium is 1.9%, the credit spread is: Credit spread = Risk premium + Expected loss Credit spread = 1.9% + 2.1% = 4%. However, the correct combination provided in the options is the calculation of expected loss separately from the premium to give: * Expected loss = 2.1% * Credit spread = Risk premium = 1.9% The closest match to these values is: Expected loss: 1.6% (adjusted to options) Credit spread: 2.5% (adjusted to options)