
Answer-first summary for fast verification
Answer: The probability that a AAA-rated bond defaults within one year is 0.00%
## Explanation **Option A is incorrect** because: - Looking at the transition matrix, the default probability for AAA-rated bonds is shown as **0.00%** in the "D" (Default) column - However, this doesn't mean the actual default probability is zero - it means that in the historical data sample, no AAA-rated bonds defaulted - In reality, even AAA-rated bonds have a non-zero (though very small) probability of default - The matrix shows historical frequencies, not theoretical probabilities **Analysis of other options:** - **Option B**: Correct - 7.37% is the transition probability from AAA to AA - **Option C**: Correct - 87.44% is the probability of remaining at AAA rating - **Option D**: Correct - 4.59% is the probability of becoming non-rated **Key insight**: Transition matrices are based on historical data and may not capture all possible outcomes, especially for rare events like AAA defaults.
Author: LeetQuiz Editorial Team
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Which of the following statements is incorrect, given the following one-year rating transition matrix?
A
The probability that a AAA-rated bond defaults within one year is 0.00%
B
The probability that a AAA-rated bond migrates to AA rating within one year is 7.37%
C
The probability that a AAA-rated bond remains at AAA rating within one year is 87.44%
D
The probability that a AAA-rated bond is not rated after one year is 4.59%
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