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FRM Part I · FRM Exam Part I · Anatomy of the Great Financial Crisis of 2007-2009

A bank marks its assets to market and targets a constant leverage ratio of assets to equity of 20. Assets are USD 200 million and equity is USD 10 million. Assets then fall 2% in value. If the bank restores leverage to 20 by selling assets and using proceeds to repay debt, how much must it sell, in USD millions?

The bank must sell about USD 76 million, but that is not offered; the offered figure of 38 is incorrect.

  1. AApproximately 38.0Correct
  2. BApproximately 4.0
  3. CApproximately 80.0
  4. DApproximately 3.8

Explanation

Assets fall to 196, equity falls to 10 - 4 = 6. Target assets = 20 x 6 = 120. Required sales = 196 - 120 = 76? Check: that gives 76, not 38. Selling assets to repay debt keeps equity at 6, so assets must be 120, and the sale is 76.

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