hard · FRM Part 1
An investor is considering two portfolios. Portfolio X has a Sharpe ratio of 0.50 and a Treynor ratio of 0.08. Portfolio Y has a Sharpe ratio of 0.45 and a Treynor ratio of 0.10.
If the investor intends to add one of these to an already well-diversified existing portfolio, which should be chosen and why?
- Either, as both ratios rank portfolios identically in equilibrium
- Portfolio X, because it has a higher Sharpe ratio
- Portfolio Y, because the Treynor ratio is the relevant metric for a diversified investor
- Portfolio X, because it has lower systematic risk
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