FRM Part II · FRM Exam Part II · Estimating Default Probabilities
A risk manager notes that a firm's original Altman Z-score is 2.4. Under the conventional cutoffs of the original model, how should the firm be classified?
A Z-score of 2.4 falls in the grey zone, because the original Altman model sets distress below 1.81 and safe above 2.99. Scores between these cutoffs are ambiguous and call for further analysis rather than a clear default or safe classification.
- ASafe zone, since the score is above the distress threshold of 1.81
- BGrey zone, with the score between 1.81 and 2.99Correct
- CDistress zone, since the score is below 2.99
- DSafe zone, since a positive score implies no default risk
Explanation
The original model treats Z below 1.81 as distress, above 2.99 as safe, and the range between as the grey (zone of ignorance). 2.4 lies between them. Calling it distress by using 2.99 as the cutoff confuses the upper and lower bounds.
Did you get it right without looking?
One question tells you little. A timed set on Estimating Default Probabilities shows your real accuracy, how long you take and where you lose marks.
More Estimating Default Probabilities questions
- Using the original Altman Z-score: Z = 1.2X1 + 1.4X2 + 3.3X3 + 0.6X4 + 1.0X5, a firm has working capital/total assets of 0.10, retained earn…
- Under the Merton model, a firm's current asset value is 120, its zero-coupon debt has face value 100 due in 1 year, asset volatility is 25%,…
- A portfolio manager compares historical default rates with default probabilities implied by bond yields (risk-neutral) for the same rating c…
- A portfolio manager uses a rating agency's cumulative default table where the one-year default probability for a B-rated issuer is 4.0% and …
- A credit analyst at a bank prices a five-year corporate bond using default probabilities backed out of observed bond yield spreads. She then…
- A risk analyst at a bank reviews a rating agency's cumulative default table. For a bond rated Ba, the cumulative default probabilities are 1…