Portfolio Optimization
How to read the mathematical models that find the "perfect" balance between risk and reward for your specific assets.
What does Optimization do?
Instead of guessing what percentage of your portfolio should be in Stock A vs Stock B, Optimization uses historical covariances and mathematical algorithms to calculate the exact weights that give you the highest possible return for the lowest possible volatility.
Important: Optimization is a purely mathematical exercise based on historical relationships or expected inputs. It is a guide for structural allocation, not an absolute guarantee of future performance.
1. The Efficient Frontier Chart
The core visual output of our Optimization engine is the Efficient Frontier graph. It plots thousands of possible portfolio combinations using your chosen assets.
Interactive Sample Front: The green star represents the portfolio mix with the mathematically optimal Max Sharpe ratio.
Y-Axis: Expected Return
Higher is better. What the algorithm predicts your annualized return will be based on the weighted average of the underlying assets.
X-Axis: Volatility (Risk)
Lower is better. The standard deviation (bounciness) of the portfolio.
The "Curve" (The Frontier)
The upper boundary arc of the dots represents the "Efficient Frontier". Any portfolio lying exactly on this line represents the absolute maximum return possible for that specific level of risk. You never want a portfolio below the line.
2. Interpreting the Key Metrics
Max Sharpe Ratio
The "Sweet Spot"
The exact portfolio mix that provides the highest excess return per unit of risk. This is the single dot on the Efficient Frontier that mathematically represents the best "bang for your buck".
Expected Return
The Annual Average
A mathematical projection of the annualized return for the optimal portfolio. In Mean-Variance optimization, this relies heavily on historical averages.
Volatility
The Ride
The standard deviation of the optimal portfolio. If it's 15%, you should expect your portfolio bounds to swing up/down by roughly 15% in a "normal" year.
3. Optimal Weights Distribution
The ultimate output of the tool is the Optimal Weights table. This tells you exactly what percentage of your capital to allocate to each asset.
- Zero Weights (0%): It is highly common for an optimizer to assign 0% to an asset you inputted. The algorithm decided that asset does not mathematically justify its risk compared to the other options.
- Over-Concentration: Standard 'Mean-Variance' often dumps 60%+ into a single low-volatility asset. If you see this, consider enabling constraints (e.g., max 15% per asset) or trying Hierarchical Risk Parity (HRP).
Find Your Perfect Allocation
Stop guessing. Input your favorite ETFs and let our optimizer find the mathematical sweet spot on the Efficient Frontier.
Run Optimization Algorithm