Black-Litterman Model
Combines market equilibrium returns with investor views to generate stable portfolio weights.
The Black-Litterman model solves mean-variance optimization's biggest problem: extreme sensitivity to expected return inputs. Small changes in return assumptions cause wild weight swings. Black-Litterman starts with market-implied returns (reverse-engineering the CAPM equilibrium) as a neutral baseline, then tilts toward your views (e.g., 'I think EM will outperform by 2%'). Key innovation: Uses Bayesian updating to blend market equilibrium with your views, weighted by confidence. This produces stable, diversified portfolios instead of concentrated bets. Output: Expected returns that balance market consensus and your insights. Adoption: Widely used by institutional investors. Limitation: Still requires subjective view inputs, but handles them more gracefully than raw mean-variance.
Efficient Frontier
The set of portfolios offering the highest return for each level of risk.
Sharpe Ratio
Risk-adjusted return: excess return divided by volatility.
Covariance Matrix
Captures how asset returns move together — the foundation of diversification.
Portfolio Volatility
Standard deviation of portfolio returns — total risk including diversification effects.
Minimum Variance Portfolio
The portfolio with the lowest possible volatility.
Maximum Sharpe Portfolio
The portfolio with the highest risk-adjusted return.