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FRM Part II · FRM Exam Part II · Introduction to Credit Risk Modeling and Assessment

A risk analyst at a bank reviews a one-year rating transition matrix built from historical agency data. Which statement best describes how the default column and the default row of such a matrix are treated?

Default is treated as an absorbing state. The default column gives the one-year probability of migrating into default from each rating, while the default row is 100% default, because a defaulted borrower is assumed to remain defaulted within the matrix.

  1. ADefault is an absorbing state: the default column shows probabilities of migrating to default, and the default row shows 100% staying in defaultCorrect
  2. BDefault is a transient state: the default row shows borrowers returning to investment grade with equal probability
  3. CThe default column is excluded because default cannot be observed over a one-year horizon
  4. DThe default row shows the recovery rate for each rating class

Explanation

In a standard transition matrix, default is an absorbing state. Once a borrower defaults it stays there, so the default row has 100% in default. The default column gives each rating's one-year default probability. Treating default as transient or as recovery information misreads the matrix.

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