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FRM Part II · FRM Exam Part II · Credit Scoring and Retail Credit Risk Management

A credit card portfolio is analyzed with monthly roll rates. Of accounts that are current, 4% move to 30 days past due. Of 30-day accounts, 50% roll to 60 days past due. Of 60-day accounts, 60% roll to 90+ days. Of 90+ accounts, 80% are charged off, and no accounts cure in this simplified chain. For 1,000,000 current balances, approximately what balance is eventually charged off following this chain?

About $9,600 is charged off. Multiply the successive roll rates: 4% x 50% x 60% x 80% equals 0.96%, and 0.96% of $1,000,000 is $9,600. Leaving out the final charge-off rate would give $12,000.

  1. A$9,600Correct
  2. B$16,000
  3. C$12,000
  4. D$19,200

Explanation

Cumulative roll: 0.04 x 0.50 x 0.60 x 0.80 = 0.00960. Applied to 1,000,000 gives $9,600. The $12,000 option omits the final 80% charge-off rate (0.04 x 0.5 x 0.6 = 1.2%). The $19,200 option omits the 60-day to 90+ step and uses 0.04 x 0.5 x 0.8 x ... incorrectly.

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