Intermediate
Introduction to Portfolio Optimization: Markowitz and Beyond
A rigorous, formula-first path into modern portfolio theory for quant analyst aspirants, prop trading applicants, and systematizing traders. Covers portfolio return and variance, covariance and correlation, the Markowitz efficient frontier, the Capital Market Line and its link to CAPM, and the practical extensions (Black-Litterman, risk parity, factor-based construction) that fix mean-variance optimization's real-world weaknesses. Built entirely on Nifty 50, Nifty Bank, and Nifty IT data.
MODULES
6
DURATION
~4.9 hrs
TRACK
Quantitative Finance
Access Level
LEARNER
Everything included
Full Text Playbooks
Actionable Exercises
Mobile Reading Mode
Lifetime Updates
Curriculum Breakdown
Chapter 1: Why Portfolio Thinking Beats Stock Picking
4 Lessons▶
The Diversification Problem: Why Owning More Stocks Isn't Enough10 min read
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Expected Return and Risk of a Single Asset: A Quick Refresher9 min read
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Portfolio Return: The Weighted Average That's Easy to Get Wrong9 min read
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Case Study: Two Nifty Stocks, One Surprising Portfolio Risk Number11 min read
Chapter 2: Covariance, Correlation, and the Mathematics of Diversification
5 Lessons▶
Covariance and Correlation: Measuring How Assets Actually Move Together11 min read
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Portfolio Variance for Two Assets: Where the Diversification Math Happens12 min read
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Extending to N Assets: Building the Covariance Matrix11 min read
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Case Study: Combining Nifty IT and Nifty Bank — Correlation That Actually Diversifies12 min read
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The Diversification Ceiling: Why You Can't Eliminate All Risk9 min read
Chapter 3: The Markowitz Mean-Variance Framework
5 Lessons▶
Harry Markowitz and the Birth of Modern Portfolio Theory9 min read
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The Efficient Frontier: Plotting Risk Against Return11 min read
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The Minimum Variance Portfolio: The Safest Point on the Frontier10 min read
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Solving for the Efficient Frontier: The Optimization Problem Explained13 min read
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Case Study: Building an Efficient Frontier With Five Nifty 50 Stocks13 min read
Chapter 4: Adding a Risk-Free Asset: The Capital Market Line
4 Lessons▶
The Capital Allocation Line: Mixing a Risk-Free Asset With Risky Ones11 min read
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The Tangency Portfolio and Its Link to the Sharpe Ratio11 min read
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The Capital Market Line and the Case for One Optimal Risky Portfolio10 min read
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From Markowitz to CAPM: How Portfolio Theory Built Asset Pricing12 min read
Chapter 5: Beyond Markowitz: Fixing Mean-Variance Optimization
5 Lessons▶
Why Markowitz Breaks Down in Practice: Estimation Error and Unstable Weights11 min read
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The Black-Litterman Model: Blending Market Equilibrium With Your Own Views13 min read
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Risk Parity: An Alternative to Mean-Variance Optimization11 min read
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Factor-Based Portfolio Construction: Beyond Just Risk and Return11 min read
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Case Study: Comparing Markowitz, Risk Parity, and Equal-Weight on Nifty 50 Stocks13 min read