
Answer-first summary for fast verification
Answer: Asset C
## Explanation To solve this problem, we need to: 1. Calculate the Treynor ratio for each asset 2. Check which assets meet the minimum Treynor ratio requirement (≥ 0.1) 3. Among qualifying assets, select the one with the lowest marginal VaR ### Step 1: Calculate Treynor Ratio Treynor Ratio = (Expected Return - Risk Free Rate) / Beta to the Index - **Asset A**: (12% - 2%) / 1.2 = 10% / 1.2 = 0.0833 - **Asset B**: (10% - 2%) / 0.7 = 8% / 0.7 = 0.1143 - **Asset C**: (10% - 2%) / 0.6 = 8% / 0.6 = 0.1333 - **Asset D**: (8% - 2%) / 0.3 = 6% / 0.3 = 0.2000 ### Step 2: Check Treynor Ratio Requirement Only assets with Treynor ratio ≥ 0.1 qualify: - Asset A: 0.0833 ❌ (does not meet requirement) - Asset B: 0.1143 ✅ - Asset C: 0.1333 ✅ - Asset D: 0.2000 ✅ ### Step 3: Select Asset with Lowest Marginal VaR Marginal VaR is proportional to the asset's beta to the portfolio. Lower beta to portfolio means lower marginal VaR. Among qualifying assets: - Asset B: Beta to portfolio = 0.90 - Asset C: Beta to portfolio = 0.85 - Asset D: Beta to portfolio = 1.10 **Asset C has the lowest beta to portfolio (0.85), therefore the lowest marginal VaR among qualifying assets.** ### Conclusion Asset C should be selected because: - It meets the Treynor ratio requirement (0.1333 ≥ 0.1) - It has the lowest beta to portfolio (0.85) among qualifying assets, indicating the lowest marginal VaR
Author: LeetQuiz .
Ultimate access to all questions.
The portfolio manager wants to select the asset that has the lowest marginal VaR as long as its Treynor ratio is at least 0.1. Assuming the risk free rate is 2%, which asset should the portfolio manager select?
| Asset | Expected Return | Beta to the Index | Beta to the Portfolio |
|---|---|---|---|
| A | 12% | 1.2 | 0.90 |
| B | 10% | 0.7 | 0.90 |
| C | 10% | 0.6 | 0.85 |
| D | 8% | 0.3 | 1.10 |
A
Asset A
B
Asset B
C
Asset C
D
Asset D
No comments yet.