medium · FRM Part 1

If an asset's beta relative to the portfolio is negative, what does this imply about its Marginal VaR and its effect on portfolio risk?

  1. The Marginal VaR is positive, because VaR can never be a negative number.
  2. The asset is uncorrelated with the portfolio, and its risk contribution cannot be measured.
  3. The Marginal VaR is negative, meaning increasing the position size will decrease the total portfolio VaR.
  4. The Component VaR will be zero, because negative risk contributions are not allowed in institutional reporting.

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