In brief
There is no universally best portfolio optimization method. Each methodology encodes a different view of risk, expected return and uncertainty. Comparing methods under the same mandate makes those methodological choices visible instead of hiding them inside one black-box answer.
Same inputs. Different construction logic. Different answers.
The useful comparison is not which method has the strongest brand recognition. It is how different assumptions change concentration, diversification, risk contribution and realized robustness for the mandate you actually need to manage.
- 4independent engines
- Each methodology keeps its own construction logic
- 1shared mandate
- Asset universe, capital and constraints stay comparable
- 3risk profiles
- Conservative · Balanced · Aggressive outputs for each method
What to look for
Markowitz
Balances expected return and variance; sensitive to estimation error.
Risk Parity
Balances risk contribution rather than expected-return forecasts.
Black-Litterman
Combines an equilibrium prior with explicit investor views.
Q72 Confidence Alpha
Weights portfolio decisions by forecast confidence, CDaR control and correlation structure.
Cross-method comparison
Expose where methods agree and where assumptions create divergence.
Validation
Judge classical outputs on unseen historical periods rather than fit alone.
Where this fits in your process
Portfolio managers and investment committees that want methodology choice to become an explicit, reviewable part of the investment process.
Keep the mandate consistent. Make the assumptions visible.
Q72 compares four portfolio construction methods. Its twelve classical outcomes use walk-forward out-of-sample validation. Optional quantum refinement of Confidence Alpha is reported separately, with its own historical replay label.
Questions, answered
Which portfolio optimization method is best?
There is no universal winner. The appropriate method depends on the mandate, risk objective, forecast quality and how robustly the resulting portfolio behaves out of sample.
Why compare methods under the same mandate?
Holding the asset universe, capital and constraints constant isolates the effect of construction methodology and makes differences easier to explain.
Does Q72 blend all four methods together?
No. Q72 keeps the four construction engines distinct so their assumptions and outputs can be compared directly.