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Introduction

Modern portfolio theory (MPT) is a framework for analyzing portfolios of investments. The concept is based on the premise that the investor is risk averse and there are only two factors differentiating between potential portfolios - expected return and risk. Thus the investor can optimize his investment decision by choosing a combination of assets that maximize the portfolio's expected return for a given amount of risk or vice versa minimize risk for a given level of expected return.

As the standard deviation of return is the most common proxy for risk, quite often MPT application can also be referred to as mean-variance analysis or mean-variance optimization (MVO).

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