QUESTIONS
1. In constructing an equity portfolio, which type of tracking error—backward-looking or forward-looking should be used?
2. Calculate the annualized alpha, tracking error, and information ratio based on the 12 monthly returns that follows:
| Month | Active Return % |
|---|
| 1 | 0.37 |
| 2 | –0.31 |
| 3 | –0.55 |
| 4 | 0.09 |
| 5 | 0.37 |
| 6 | –0.05 |
| 7 | –0.62 |
| 8 | 0.06 |
| 9 | 0.46 |
| 10 | –0.09 |
| 11 | 0.58 |
| 12 | 0.84 |
3. Assuming active returns are normally distributed, calculate the expected returns about the benchmark at the 67%, 95%, and 99% confidence levels assuming the following data:
| Expected active return % | 0.02 |
| Tracking error % | 0.03 |
| Benchmark expected return % | 0.08 |
4. Explain the philosophy of a:
a. contrarian manager
b. yield manager
5. Determine the size and style orientation of the following equity mutual fund:
6. Construct a graph showing combinations of breadth and depth to produce constant information ratio (IR) with an alpha of 3% and a tracking error of 4%.
7. Use portfolio attribution analysis to assess the active strategies of two managers with the same alpha:
| Manager X | Manager Y |
|---|
| Active management return (alpha) % | 3.5 | 3.5 |
| Components of active return: |
| Market timing | –0.2 | –0.1 |
| Sector emphasis | 0.5 | 2 |
| Industry exposure | 1.5 | 1.4 |
| Security selection | 2 | 0.5 |
| Unreconciled return | –0.3 | –0.3 |