
Answer-first summary for fast verification
Answer: 0.114
The Treynor ratio is calculated as the portfolio's excess return over the risk-free rate divided by the portfolio's beta. Here, the portfolio's beta is derived as: \[ \beta_p = \rho_{p,m} \times \left(\frac{\sigma_p}{\sigma_m}\right) = 0.7 \times \left(\frac{0.19}{0.10}\right) = 1.33 \] Using the Sharpe ratio (SR) and the relationship between Sharpe and Treynor ratios: \[ TR = SR \times \left(\frac{\sigma_p}{\beta_p}\right) = 0.8 \times \left(\frac{0.19}{1.33}\right) = 0.114 \] Option B is correct because it accurately reflects this calculation. Option A incorrectly uses a miscalculated beta (2.527), and Option C uses an incorrect beta (0.368).
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An analyst evaluates a portfolio with the following characteristics:
A
0.060
B
0.114
C
0.413
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