Explanation:
The relationship between a stock's Sharpe ratio and the market's Sharpe ratio is given by:
Stock Sharpe Ratio=ρ×Market Sharpe Ratio
Where:
- ρ = correlation between the stock and market portfolio
- Market Sharpe Ratio = 40% = 0.40
- ρ = 0.7
Stock Sharpe Ratio=0.7×0.40=0.28=28%
Therefore, the stock's Sharpe ratio is 28% (Option B).