medium · FRM Part 1 Foundations of Risk Management

In the context of Modern Portfolio Theory, if an investor adds a risky asset to their portfolio that is perfectly negatively correlated (ρ = -1.0) with their existing holdings, what is the primary risk-management implication?

  1. The portfolio will necessarily move onto the Capital Market Line.
  2. Systematic risk is increased because of the volatility of the new asset.
  3. The expected return of the portfolio will decrease to the risk-free rate.
  4. Portfolio variance can be reduced to zero by choosing specific weights.

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