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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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A junior risk analyst at an asset management firm is monitoring the performance of a recently launched mutual fund against a benchmark index. The analyst uses the last 36 months of excess returns data to construct a confidence interval that can be used to test the one-sided hypothesis that the average excess monthly return of the mutual fund is greater than 0%. Information about the hypothesis test is given below:

  • A 5% significance level is used.
  • Excess monthly returns are assumed to follow a normal distribution.
  • The standard deviation of excess returns over the previous 36 months is 0.05.
  • The average excess monthly return over the previous 36 months was 1.2%.

Which of the following provides the correct confidence interval to be used as the decision criterion for the hypothesis test?

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