Maximize Adjusted R2

In this model, the utility function is the adjusted R2, i.e., StyleADVISOR chooses the subset of indices that gives the highest adjusted R2. Recall that the adjusted R2 is defined as follows:

Adjusted R2 = 1 - ((m - 1) / (m - n)) * (Var(e) / Var(M))
   where
      Var(M) = variance of manager returns
      Var(e) = variance of excess return of manager over benchmark, using current subset
      n = number of indices in current subset
      m = number of returns

Again, the workbook Models.zsa provides an example. On the page named "Standard Model," the adjusted R2 as seen in the right hand style table is 88.68. On the page named "Adjusted R2 Model," the adjusted R2 has increased to 88.74. That is why StyleADVISOR chose to drop the Russell 1000 Value index in this model.

Related Statistics:
Model Selection
Minimize C_p
Minimize SC
Minimize AIC