Portfolio Management: Markowitz Theory, CAPM, Risk & Return Analysis (Tamil) IAPM Day 3

Описание: Welcome to this definitive, in-depth tutorial on Investment Analysis and Portfolio Management, specifically designed for commerce, management, and statistics students who need to master the quantitative and theoretical foundations of financial markets. This comprehensive lecture transitions from basic historical stock returns to advanced predictive models, ensuring you have a complete grasp of how to evaluate financial assets. We begin by analyzing how to calculate expected returns using probability distributions and how to measure financial risk through standard deviation, which captures the variability of returns. You will learn that while a portfolio's expected return is simply the weighted average of its individual assets, the portfolio's total risk is not just a weighted average; it is fundamentally determined by the correlation between the combined assets.

Understanding correlation is critical for risk management. We break down the mathematical extremes of correlation—perfect positive (+1), perfect negative (-1), and zero—using intuitive real-world examples, such as the sales relationship between raincoat, umbrella, and ice cream companies. When the correlation between two stocks is less than one, combining them creates a diversification advantage, effectively pulling the portfolio's overall standard deviation below the simple weighted average of the individual stocks. We thoroughly examine Harry Markowitz's groundbreaking 1959 Portfolio Theory, which mathematically proved that investors can optimize their portfolios by identifying the "Efficient Frontier"—the specific set of feasible portfolios that offer the maximum possible expected return for any given level of risk.

Furthermore, this lecture deeply explores the mechanics of diversification, illustrating why adding more randomly selected stocks (up to about 40) systematically reduces risk. However, we emphasize a crucial distinction: diversification can entirely eliminate firm-specific, unsystematic risk (such as a company going bankrupt or facing specific tariffs), but it cannot eliminate systematic, market-wide risk caused by macroeconomic events like global pandemics or economic crises. Because rational investors can diversify away unsystematic risk, the market only rewards them for bearing systematic risk.

To quantify this, we introduce the Capital Asset Pricing Model (CAPM), developed by Sharpe, Lintner, and Black, which relies on key assumptions like unlimited lending and borrowing at a risk-free rate and homogeneous expectations among all investors. You will discover how the Capital Market Line (CML) creates a new, linear efficient set where investors can strategically mix the risk-free asset with the optimal market portfolio, choosing either a "lending portfolio" if they are risk-averse, or a "borrowing portfolio" if they wish to use leverage for higher returns. Finally, we master the Security Market Line (SML) and Beta calculation, demonstrating step-by-step how Beta isolates a stock's systematic risk by measuring its covariance with the overall market. By the end of this lecture, you will confidently apply the CAPM formula to determine the exact required return of any individual stock by adding the risk-free rate to the product of the stock's Beta and the market risk premium.


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