Inverse Volatility
Allocate weights inversely proportional to asset volatility. Lower volatility assets receive higher weights, ensuring each asset contributes equally to portfolio risk. Formula: wi ∝ 1/σi.
Balance portfolio risk across assets using inverse volatility weighting, correlation matrices, and advanced optimization algorithms
Our Risk Parity engine equalizes risk contributions across all assets for optimal diversification
Allocate weights inversely proportional to asset volatility. Lower volatility assets receive higher weights, ensuring each asset contributes equally to portfolio risk. Formula: wi ∝ 1/σi.
Build complete covariance matrix capturing pairwise asset correlations (-1 to +1). Accounts for diversification benefits beyond simple volatility weighting. σij = ρijσiσj.
Calculate marginal risk contribution for each asset: RCi = wi(Σw) / σp. Target equal risk contributions across all positions (e.g., 33.3% each for 3 assets).
Iteratively optimize weights to minimize risk contribution dispersion while maintaining full investment (Σwi = 1). Compares against equal-weight benchmark for volatility reduction measurement.
6 advanced analytics modules to optimize, balance, and monitor portfolio risk
Build complete n×n covariance matrix from asset volatilities and correlations. Diagonal elements: σi², off-diagonal: ρijσiσj. Foundation for risk parity optimization.
Calculate total portfolio standard deviation: σp = √(w'Σw). Compares Risk Parity vs Equal Weight to measure volatility reduction percentage.
Compute marginal and component risk contributions for each asset. Visualize risk balance with column charts showing target equal contributions (e.g., 25% for 4 assets).
Measure portfolio concentration vs equal weight baseline. Calculate: (1 - max(wi) / equal_weight) × 100%. Higher values indicate better diversification.
Side-by-side pie charts: Risk Parity vs Equal Weight allocations. Interactive donut charts with asset-level weights, color-coded by volatility contribution.
Quantify risk balancing effectiveness: 100 - (avg_deviation / target × 100). Scores 90%+ indicate excellent risk parity, 70-90%: good, <70%: imbalanced.
Real-time portfolio optimization with equal risk contribution balancing
From asset inputs to balanced portfolio in under 5 seconds
Add assets (minimum 2, up to 10+) with annual volatility percentages (e.g., Stocks: 18%, Bonds: 6%, Real Estate: 12%). Input pairwise correlations for each asset pair (-1 to +1).
Engine builds covariance matrix, applies inverse volatility weighting, and iteratively balances risk contributions to achieve equal risk per asset. Compares against equal-weight benchmark.
View side-by-side pie charts (RP vs EW), risk contribution column chart with target line, detailed comparison table, and key metrics: volatility reduction, balance quality, diversification benefit.
Join institutional investors using our Risk Parity optimizer to build diversified portfolios with equal risk contributions