This theory was based on two main concepts: 1. Markowitz Mean-Variance Portfolio Theory 1. The result should be a portfolio with an ideal risk-reward ratio. Suppose we purchase an asset for x 0 dollars on one date and then later sell it for x 1 dollars. The CAPM is based on Modern Portfolio Theory (MPT) developed in the 1950s by Sharpe’s teacher and co-laureate Harry Markowitz. Portfolio Theory establishes two possible ways of handling risk and return: If the desired amount of risk is known, then the Portfolio Theory will guide the asset selection process to choose investments with a high level of expected return. Every investor’s goal is to maximize return for any level of risk 2. Finally, it closes with concluding remarks including analysis limitations and a possible perspective for future research. Portfolio Return Rates An investment instrument that can be bought and sold is often called an asset. An optimal portfolio is said to be the one that has the highest Sharpe ratio, which measures the excess return generated for every unit of risk taken. It is an important concept in modern investment theory. The MPT is based on the principle that investors want the highest return for the lowest risk. Modern portfolio theory (MPT) is a theory in investment and portfolio management that shows how an investor can maximize a portfolio's expected return for a … A portfolio maximizing risk and reward is said to lie along the “efficient frontier.” This refers to a line on a graph plotting risk versus reward. The theory suggests, though, that diversifying will reduce the risk without reducing your returns. Further information on how to calculate portfolio standard deviation can be found in CFI’s Portfolio Variance article Portfolio Variance Portfolio variance is a statistical value that assesses the degree of dispersion of the returns of a portfolio. We call the ratio R = x 1 x 0 the return on the asset. It is a theory of investing based on the premise that markets are efficient and more reliable than investors. Portfolio optimization is based on Modern Portfolio Theory . Portfolio Theory and a general discussion of its framework and key concepts, including risk & return, expected return, measures of risk and volatility, and diversification. Developed by Nobel Laureate Harry Markowitz, Modern portfolio theory is a widely used investing model designed to help investors minimize market risk while maximizing returns for their portfolio. What Is Modern Portfolio Theory (MPT)? Markowitz created a formula that allows an investor to mathematically trade off risk tolerance and reward expectations, resulting in the ideal portfolio. 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