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Modern Portfolio Theory

Investment Planning the Nobel Prize Way

Modern portfolio theory was originated by Harry Markowitz in 1952. While investors before then knew intuitively that it was smart to diversify (ie. Don’t "put all your eggs in one basket.") Markowitz was among the first to attempt to quantify risk and demonstrate quantitatively why and how portfolio diversification works to reduce risk for investors.

In 1990, he shared a Nobel Prize with Merton Miller and William Sharpe for what has become a broad theory for portfolio selection. 

Modern portfolio theory

Portfolio theory explores how risk averse investors construct portfolios in order to optimize expected returns for a given level of market risk. The theory quantifies the benefits of diversification. Out of a universe of risky assets, an efficient frontier of optimal portfolios can be constructed. Each portfolio on the efficient frontier offers the maximum possible expected return for a given risk level

* An efficient frontier is a set of portfolios that each maximize expected return for a given level of risk, as indicated by the red line in the above graph.

Investors should hold one of the optimal portfolios on the efficient frontier and adjust their total market risk by leveraging or deleveraging that portfolio with positions in the risk-free asset. 

Based upon strong simplifying assumptions, a capital asset pricing model concludes that the market portfolio sits on the efficient frontier, and all investors should hold that portfolio, leveraged or deleveraged with positions in the risk-free asset. 

Portfolio theory provides a broad context for understanding the interactions of systematic risk and reward. It has profoundly shaped how institutional portfolios are managed, and motivated the use of passive investment management techniques. The mathematics of portfolio theory is used extensively in financial risk management and was a theoretical precursor for today's value-at-risk measures.

Modern portfolio theory has been applied by institutional investors for years. Mutual funds coupled with modern computing power have opened the door for the smaller investor to benefit from sophisticated analysis as well. Mutual funds provide a vehicle for an individual investor to participate in diversified investments in specific asset categories. Modern computing power allows financial planning web sites like YKConsultancy to offer personalized asset allocations.

     
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