FRM Part II · FRM Exam Part II · Estimating Default Probabilities
Empirical agency transition matrices generally show which pattern for investment-grade versus speculative-grade issuers over a one-year horizon?
Empirical transition matrices are diagonally dominant: the most likely one-year outcome is that the rating stays unchanged, with smaller probabilities for moves to adjacent grades and defaults rising as credit quality worsens.
- ARatings are most likely to stay unchanged, with probability mass concentrated on the diagonalCorrect
- BDowngrades are more likely than staying put for most ratings
- CUpgrades by two or more notches are the most common transition
- DDefault probability is highest for AAA because of concentration
Explanation
Empirical matrices are diagonally dominant: the most likely outcome in a year is no rating change, with smaller off-diagonal probabilities. Default probabilities rise as ratings worsen, not for AAA.
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