The table below represents the breakdown of the actual returns for a pension fund during a given quarter. The table also contains the benchmark weights and returns against which the pension fund is measured.
Fund | Fund | Benchmark | Benchmark | |
Weight | Return | Weight | Return | |
Equity | 0.65 | 4.5% | 0.60 | 4.9% |
Bonds | 0.30 | 2.4% | 0.35 | 2.6% |
Cash | 0.05 | 0.75% | 0.05 | 0.75% |
Calculate the contribution of security selection to the Fund's outperformance (or underperformance) relative to the Benchmark. The contribution from security selection may be positive or negative.
Let the weight of equity in fund = w1 = 0.65
weight of bonds in fund = w2 = 0.30
weight of cash in fund = w3 = 0.05
Let the weight of equity in benchmark = b1 = 0.60
weight of bonds in benchmark = b2 = 0.35
weight of cash in benchmark = b3 = 0.05
Let the return of equity in benchmark = R1 = 4.9%
return of bonds in benchmark = R2 = 2.6%
return of cash in benchmark = R3 = 0.75%
contribution of security selection = [ (w1-b1)*R1] +[ (w2-b2)*R2] + [ (w3-b3)*R3] = [ (0.65-0.60)*4.9] +[ (0.30-0.35)*2.6] + [ (0.05-0.05)*R3] = 0.245 -0.13 + 0 = 0.115%
Since this contribution is positive, the fund outperformed relative to benchmark
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