Markowitz model

Harry Markowitz introduced the mean-variance optimization model in 1952

The Markowitz model, introduced by Harry Markowitz in 1952, revolutionized portfolio management by focusing on optimizing portfolios based on expected returns and risk (variance). It allows investors to select securities that do not move perfectly together, thereby reducing overall portfolio risk. This model is foundational to Modern portfolio theory and remains a cornerstone in financial economics.

Example

Suppose an investor wants to minimize risk while achieving a specific return. Using the Markowitz model, they can analyze various portfolios consisting of different securities. By choosing securities that have low correlation, the investor can construct a portfolio with minimized variance for the desired return.

Understanding the Markowitz mean-variance optimization is crucial for investors aiming to balance risk and return effectively in their investment portfolios.

Related concepts

Modern portfolio theory

Modern Portfolio Theory (MPT) maximizes expected return for a given level of risk through diversification

Quantity theory of money

MV = PY equation

Straddle

Straddle strategy profits from large price movements in either direction

Prospect theory

Daniel Kahneman and Amos Tversky developed Prospect Theory in 1979

Efficient frontier

Efficient frontier maximizes return for a given risk level

Treynor ratio

Treynor ratio measures excess return per unit of systematic risk

Educational content, not financial advice.

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