FRM Part II · FRM Exam Part II · Introduction to Credit Risk Modeling and Assessment
A credit analyst uses the KMV approach and finds a firm has a market value of assets of 500, a default point (short-term debt plus half of long-term debt) of 350, and annual asset volatility of 20% in value terms of 100 (i.e., 20% of 500). What is the distance to default in standard deviations?
Distance to default is 1.50 standard deviations: the 150 cushion between asset value of 500 and the default point of 350, divided by the asset volatility of 100 (20% of 500). A larger distance means a lower expected default frequency.
- A1.50Correct
- B0.70
- C3.50
- D1.00
Explanation
Distance to default = (asset value - default point) / asset volatility in value terms = (500 - 350) / 100 = 1.50. Using 350/100 gives 3.50 (ignoring the asset value). Dividing by 500 instead of 100 gives 0.30-type errors; 0.70 is 350/500.
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