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Financial Risk Manager Part 2

Financial Risk Manager Part 2

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A risk manager is estimating the market risk of a portfolio using both the arithmetic returns with normal distribution assumptions and the geometric returns with lognormal distribution assumptions. The manager gathers the following data on the portfolio:

  • Annualized average of arithmetic returns: 16%
  • Annualized standard deviation of arithmetic returns: 27%
  • Annualized average of geometric returns: 13%
  • Annualized standard deviation of geometric returns: 29%
  • Current portfolio value: EUR 5,200,000
  • Trading days in a year: 252

Assuming both daily arithmetic returns and daily geometric returns are serially independent, which of the following statements is correct?

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