A new reading has been added to Level 2 Portfolio Management (2016 curriculum) - “Analysis of Active Portfolio Management”. In the section 3.3 Constructing Optimal Portfolios, the reading talks about 3 formulas / concepts which are not well explained.
- Optimal portfolio allocation between actively managed and benchmark portfolio would maximize the sum of squared Sharpe Ratio of Benchmark and Information Ratio
SR§2 = SR(B)2 + IR2
- For unconstrained portfolios, the level of active risk that leads to the optimal result is
σ(RA)=IR/SR(B) σ(RB)
- Total Risk of the actively managed portfolio is the sum of the benchmark return variance and active return variance
Can someone please through some light on these formulas - their derivation or how did we get here.