FRM Part I · FRM Exam Part I · Learning From Financial Disasters
A fund resembling LTCM holds assets of USD 100 billion financed by USD 4 billion of equity and USD 96 billion of borrowing. A market shock lowers asset value by 3% and lenders do not change terms. What is the fund's equity after the loss, and what is the percentage fall in equity?
The fund loses USD 3 billion on its USD 100 billion of assets, leaving equity of USD 1 billion from USD 4 billion. That is a 75% decline, because leverage of 25 times magnifies the 3% asset loss.
- AUSD 1.0 billion; fall of 75%Correct
- BUSD 3.0 billion; fall of 25%
- CUSD 0.88 billion; fall of 78%
- DUSD 1.0 billion; fall of 25%
Explanation
Asset loss = 3% x 100 = USD 3 billion. Equity = 4 - 3 = USD 1 billion. Percentage fall = 3/4 = 75%, which equals leverage of 25 times multiplied by 3%. Option with 25% confuses the equity remaining with the fall.
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