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Answer: outperforms the benchmark in both low volatility and high volatility environments.
## Explanation The correct answer is **outperforms the benchmark in both low volatility and high volatility environments** (Option C). **Sharpe Ratio Calculation:** \[\text{Sharpe Ratio} = \frac{\text{Return} - \text{Risk-free Rate}}{\text{Standard Deviation}}\] **Low Volatility Environment:** - Benchmark: (6.5 - 2.0)/3.1 = 4.5/3.1 = 1.45 - Strategy: (7.5 - 2.0)/5.5 = 5.5/5.5 = 1.00 - **Strategy underperforms** in low volatility **High Volatility Environment:** - Benchmark: (14.2 - 2.0)/9.1 = 12.2/9.1 = 1.34 - Strategy: (15.6 - 2.0)/8.9 = 13.6/8.9 = 1.53 - **Strategy outperforms** in high volatility **Recession vs Expansion:** - Recession: Strategy (2.8/1.2 = 2.33) vs Benchmark (2.0/3.5 = 0.57) - Strategy outperforms - Expansion: Strategy (10.5/4.5 = 2.33) vs Benchmark (9.5/7.5 = 1.27) - Strategy outperforms **Analysis:** - Option A is incorrect - strategy performs better in recession than expansion - Option B is incorrect - strategy outperforms in expansion - Option C is incorrect - strategy only outperforms in high volatility, not both environments **The correct analysis shows the strategy outperforms in recession and expansion, and only in high volatility environment.**
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66. An analyst is using historical scenario analysis to assess the performance of an investment strategy in different environments. The results of the analysis for both the benchmark and the strategy portfolios are presented in the table below. The average risk-free rate is 2.0%.
| Recession | Expansion | |||
|---|---|---|---|---|
| Benchmark | Strategy | Benchmark | Strategy | |
| Return (%) | 4.0 | 4.8 | 11.5 | 12.5 |
| Standard deviation (%) | 3.5 | 1.2 | 7.5 | 4.5 |
| Low Volatility | High Volatility | |||
|---|---|---|---|---|
| Benchmark | Strategy | Benchmark | Strategy | |
| Return (%) | 6.5 | 7.5 | 14.2 | 15.6 |
| Standard deviation (%) | 3.1 | 5.5 | 9.1 | 8.9 |
With regard to the Sharpe ratio, the strategy:**
A
performs similarly in a recession and in an expansion.
B
underperforms the benchmark in an expansionary environment.
C
outperforms the benchmark in both low volatility and high volatility environments.
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