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FRM Part I · FRM Exam Part I · Measures of Financial Risk

A portfolio manager estimates a one-day 99% VaR of USD 5 million. Over 250 trading days, how many days should the manager expect the loss to exceed VaR if the model is correct?

The manager should expect about 2.5 exceedances. A 99% VaR is breached with 1% probability each day, so over 250 trading days the expected number of losses greater than VaR is 250 times 0.01, or 2.5 days.

  1. A2.5 daysCorrect
  2. B5 days
  3. C12.5 days
  4. D25 days

Explanation

A 99% VaR is exceeded with probability 1%. Expected exceptions = 250 x 0.01 = 2.5 days. Twelve and a half days corresponds to a 95% confidence level, which is the wrong tail probability.

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