A hands-on options curriculum covering real trading concepts. Read the lessons, work through examples, and test your knowledge.
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Lesson 3: 17.3: Black-Litterman Model & Bayesian Asset Allocation
Implement the Black-Litterman asset allocation framework, combining market equilibrium prior views with investor subjective views.
1. Overcoming Mean-Variance Instability
Standard Markowitz optimization suffers from 'estimation error maximization'—extreme, unintuitive, and unstable weights driven by small changes in expected return inputs.
Fischer Black and Robert Litterman solved this by combining Bayesian probability theory with Reverse Optimization.
★ Equilibrium Prior: Starts with reverse-engineered market capitalization weights as the neutral prior expectation: Π = λ Σ w_mkt.
2. Incorporating Subjective Views & Confidence Matrix
Investors input subjective absolute or relative views (P r = Q) accompanied by a confidence matrix (Ω).
Black-Litterman blends equilibrium returns with investor views via Bayes' Theorem, generating stable, intuitive, and highly robust optimal portfolio weights.
Click to enlargeIV Crush Scenario Visualizer
Implied Volatility (IV) Crush is the primary account-killer for option buyers after earnings announcements. Play with the controls below to see how option premium collapses depending on Vega.
Scenario Modeling
KNOWLEDGE RECONNAISSANCE
What major flaw of standard Markowitz optimization does the Black-Litterman model solve?
More lessons in this module
- 17.0: Modern Portfolio Theory (MPT) & Efficient Frontier Optimization
- 17.1: Capital Asset Pricing Model (CAPM), Beta, & Security Market Line
- 17.2: Multi-Factor Risk Models (Fama-French, Carhart, & Barra Factors)
- 17.4: Risk Parity & Equal Risk Contribution (ERC) Portfolios
- 17.5: Dynamic Rebalancing, Tax-Loss Harvesting, & Friction Management
- 17.6: Alternative Beta, Risk Premia, & Smart Beta Indexing
- 17.7: Tail Risk Hedging & Downside Protection Frameworks
- 17.8: Institutional Asset-Liability Management (ALM) & Endowment Models
Signal Desk is where you practice this on real stocks: real option chains (about 15 minutes delayed), the Trade Check and a paper-trading account that risks no real money. Join to add it, your progress tracking and PDF downloads.