Equal Risk Portfolio Allocation

Risk Parity Optimizer

Balance portfolio risk across assets using inverse volatility weighting, correlation matrices, and advanced optimization algorithms

4 Principles, 1 Balanced Portfolio

Our Risk Parity engine equalizes risk contributions across all assets for optimal diversification

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.

Correlation Matrix

Build complete covariance matrix capturing pairwise asset correlations (-1 to +1). Accounts for diversification benefits beyond simple volatility weighting. σij = ρijσiσj.

Risk Contribution

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).

Optimization Engine

Iteratively optimize weights to minimize risk contribution dispersion while maintaining full investment (Σwi = 1). Compares against equal-weight benchmark for volatility reduction measurement.

Risk Parity Benefits

-35%
Volatility Reduction
95%
Risk Balance Quality
+42%
Diversification Gain
-28%
Max Drawdown

Professional Risk Analytics

6 advanced analytics modules to optimize, balance, and monitor portfolio risk

Covariance Matrix

Build complete n×n covariance matrix from asset volatilities and correlations. Diagonal elements: σi², off-diagonal: ρijσiσj. Foundation for risk parity optimization.

Portfolio Volatility

Calculate total portfolio standard deviation: σp = √(w'Σw). Compares Risk Parity vs Equal Weight to measure volatility reduction percentage.

Risk Contributions

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).

Diversification Benefit

Measure portfolio concentration vs equal weight baseline. Calculate: (1 - max(wi) / equal_weight) × 100%. Higher values indicate better diversification.

Allocation Comparison

Side-by-side pie charts: Risk Parity vs Equal Weight allocations. Interactive donut charts with asset-level weights, color-coded by volatility contribution.

Balance Quality Score

Quantify risk balancing effectiveness: 100 - (avg_deviation / target × 100). Scores 90%+ indicate excellent risk parity, 70-90%: good, <70%: imbalanced.

See Risk Parity in Action

Real-time portfolio optimization with equal risk contribution balancing

risk-parity - AlphaVault AI
Assets
3 Asset Classes
RP Volatility
8.4%
Reduction
-35.8%

Allocation Comparison

Risk Parity
Stocks: 24.5%
Bonds: 53.8%
Real Estate: 21.7%
Equal Weight
Stocks: 33.3%
Bonds: 33.3%
Real Estate: 33.3%
Key Insight: Risk Parity allocates 53.8% to Bonds (lowest volatility: 6%) vs only 24.5% to Stocks (highest volatility: 18%). This inverse weighting equalizes risk contributions to 33.3% each, reducing total portfolio volatility by 35.8% compared to equal weight (13.1% → 8.4%).
Risk Contributions (Target: 33.3% each)
Stocks (RP)
33.1%
Bonds (RP)
33.5%
RE (RP)
33.4%
Balance Quality
98.4%

Optimize Risk in 3 Simple Steps

From asset inputs to balanced portfolio in under 5 seconds

1

Define Assets

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).

2

Calculate Optimization

Engine builds covariance matrix, applies inverse volatility weighting, and iteratively balances risk contributions to achieve equal risk per asset. Compares against equal-weight benchmark.

3

Analyze Results

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.

Ready to balance your portfolio risk?

Join institutional investors using our Risk Parity optimizer to build diversified portfolios with equal risk contributions