Answer: The average Sharpe ratio of hedge funds is understated and the average Sharpe ratio of real estate funds has increased.

## Explanation This question addresses two common biases in performance analysis: ### Hedge Fund Analysis - Survivorship Bias - When hedge funds stop trading (fail), they are removed from the database - This creates **survivorship bias** - only successful funds remain in the database - Survivorship bias **overstates** the performance of the surviving funds - Since Sharpe ratio = (Return - Risk-free rate) / Volatility, overstated returns lead to **overstated Sharpe ratios** - However, the question asks about the **impact on average Sharpe ratio** - removing failed funds (which typically have low or negative Sharpe ratios) actually **understates** the average Sharpe ratio because we're excluding the worst performers ### Real Estate Fund Analysis - Liquidity Bias - Improved liquidity and more frequent trading in real estate funds - This reduces **illiquidity premium** that was previously embedded in returns - As liquidity increases, the required return decreases (lower illiquidity premium) - This leads to **lower returns** for the same level of risk - Therefore, the Sharpe ratio **decreases** because numerator (return) decreases while denominator (volatility) may remain similar ### Correct Answer Analysis Option A correctly identifies: - **Hedge funds**: Average Sharpe ratio is **understated** (because we're removing failed funds with poor Sharpe ratios) - **Real estate funds**: Average Sharpe ratio has **increased** (contradicts the liquidity effect described above) Wait - let me reconsider the real estate fund impact: - Improved liquidity should **decrease** returns (lower illiquidity premium) - This would **decrease** the Sharpe ratio, not increase it - Therefore, Option A cannot be correct Let me check the other options: **Option B**: - Hedge funds: Sharpe ratio overstated (incorrect - it's understated due to survivorship bias) - Real estate funds: Sharpe ratio decreased (correct due to liquidity improvement) **Option C**: - Hedge funds: Volatility overstated (incorrect) - Real estate funds: Volatility decreased (possible but not the primary impact) **Option D**: - Hedge funds: Volatility understated (possible due to survivorship bias) - Real estate funds: Volatility increased (unlikely with improved liquidity) Actually, let me reconsider the hedge fund impact more carefully: - **Survivorship bias** means we only see funds that survived - Failed funds typically have **high volatility** and **poor returns** - By removing them, we're removing high-volatility observations - This **understates** the true average volatility of hedge funds - And since we're removing poor performers, we're **overstating** the average Sharpe ratio Therefore, the correct impacts are: - **Hedge funds**: Sharpe ratio **overstated**, Volatility **understated** - **Real estate funds**: With improved liquidity, returns decrease (lower illiquidity premium), so Sharpe ratio **decreases** Looking at the options, **Option B** correctly states: - The average Sharpe ratio of hedge funds is **overstated** - The average Sharpe ratio of real estate funds has **decreased** **Answer: B**