In: Finance
You are evaluating the performance of two portfolio managers, and you have gathered annual return data for the past decade:
| Year | Manager X Return (%) | Manager Y Return (%) | |||
| 1 | -2.5 | -4.0 | |||
| 2 | -2.5 | -3.0 | |||
| 3 | -2.5 | -2.5 | |||
| 4 | -0.5 | 3.5 | |||
| 5 | 0.0 | 5.5 | |||
| 6 | 2.0 | 6.5 | |||
| 7 | 6.5 | 7.5 | |||
| 8 | 10.0 | 8.5 | |||
| 9 | 13.5 | 9.5 | |||
| 10 | 19.5 | 12.0 | |||
| Average annual return | Standard deviation of returns | Semi-deviation of returns | |
| Manager X | 4.35 % | 7.74% | ? % |
| Manager Y | 4.35% | 5.67% | ? % |
Sharpe ratio (Manager X): 0.433
Sharpe ratio (Manager Y): 0.591
Sortino ratio (Manager Y): ?