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CFA Level I · CFA Level I Exam · Introduction to Risk Management

A portfolio manager reports a one-day 5% VaR of EUR 2.0 million. This statement is best interpreted as meaning that:

A one-day 5% VaR of EUR 2.0 million means losses of at least EUR 2.0 million are expected on about 5% of days. VaR is a minimum loss at a given probability, not a maximum possible loss or an exact worst-day figure.

  1. Athe portfolio is expected to lose exactly EUR 2.0 million on the worst day
  2. Bon 5% of days, losses are expected to be at least EUR 2.0 millionCorrect
  3. Cthe maximum possible one-day loss over a year is EUR 2.0 million

Explanation

VaR is the minimum loss expected with the stated probability over the period. A 5% one-day VaR of EUR 2.0 million means losses of at least that size are expected on about 5% of days. It is not a maximum loss and does not describe the average tail loss.

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