An analyst has gathered the following asset allocations and returns, including an appropriate benchmark, covering the past twelve months for the Triad Fund.
| Fund and Benchmark Weights | Fund and Benchmark Returns | Asset Class | Fund | Benchmark | Fund | Benchmark | Stock | 0.65 | 0.50 | 17.00 | 13.80 | Bonds | 0.25 | 0.40 | 8.10 | 8.30 | Cash | 0.10 | 0.10 | 3.85 | 4.05 |
The value added to the Triad Fund returns attributable to the pure sector allocation effect is:
Attributable to the pure sector allocation effect: (0.65 – 0.50)(13.8 – 10.63) + (0.25 – 0.40)(8.3 – 10.63) + (0.10 – 0.10)(4.05 – 10.63) = 0.83%.
The benchmark return is calculated as the weighted average of individual asset returns in the benchmark: (.5 x 13.8) + (.4 x 8.3) + (.1 x 4.05) = 10.63%
The value added to the Triad Fund returns attributable to the within-sector selection effect is:
Attributable to the within-sector selection effect: (0.5)(17.0 – 13.8) + (0.4)(8.1 – 8.3) + (0.10)(3.85 – 4.05) = 1.5%. |