If you were to craft the perfect investment, you would probably want its attributes to includ😼e high returns and low risk.

The reality, of course, is that this kind of investment is next to impossible to find. Not surprisingly, people spend a lot of time developing methods and strategies that come close to the "perfect investment." But none have been as popular as modern portfolio theory (MPT).

Here, we look at the basic ideas behind MPT, its pros and cons, and how it should factor into 𒉰your portfoliಞo management.

Understanding Modern Portfolio Theory

One of the most important and influential economic theories dealing with finance and investment, MPT was developed by 澳洲幸运5开奖号码历史查询:Harry Markowitz and published under the title "Portfolio Selection" in The Journal of Finance in 1952.

The theory is based on Markowitz's hypothesis that it is possible for investors to design an optimal portfolio to maximize returns by taking on a quantifiable amount of risk. Essentially, investors can reduce risk through diversification using a quantitative method.

Modern portfolio theory says that it is not enough to look at the expected 澳洲幸运5开奖号码历史查询:risk and return of one particular stock. By investing in more than one stock, an investor can reap the benefits of 澳洲幸运5开奖号码历史查询:diversification—chief among them, a reduction in the riskiness of th⭕e portfolio. MPT quantifies the benefits of div💟ersification, or not putting all of your eggs in one basket.

For most investors, the risk they take when they buy a stock is that the return will be lower than expected. In other words, it is the deviation from the 澳洲幸运5开奖号码历史查询:average return. Each stock has its own 澳洲幸运5开奖号码历史查询:standard deviation from the mean, which modern portf꧟olio theory ca🍸lls "risk."

The risk in a portfolio of diverse individual stocks will be less than the risk inherent in holding any one of the individual stocks, provided the risks of the various stocks are not directly related. Consider a portfolio that holds two risky stocks: one that pays off when it rains and another that pays off when it doesn't rain. A portfolio that contains both assets will always pay off, regardless of whether it rains or shines. Adding one risky asset to another can reduce the overall risk of an all-weather portfolio.

In other words, Markowitz showed that investment is not just about picking stocks, but about choosing the right combination of stocks among which to distribute one's nest egg. 

Types of Risk

Modern portfolio theory states that thꦫe risk for individual stock returns has two components:

Systematic Risk: These are 澳洲幸运5开奖号码历史查询:market risks that cannot be diversified away. Interest rates, 澳洲幸运5开奖号码历史查询:recessions, and wars are examples of systematic risks.

澳洲幸运5开奖号码历史查询:Unsystematic Risk: Also known as "specific risk," this risk is specific to individual stocks, such as a change in management or a decline in operations. This kind of risk can be diversified away as you increase the number of stocks in your portfolio (see the figure below). It represents the component of a stock's return that is not 澳洲幸运5开奖号码历史查询:correlated with general market moves.

For a well-diversified portfolio, the risk—or average deviation from the mean—of each stock contributes little to portfolio risk. Instead, it is the difference—or 澳洲幸运5开奖号码历史查询:covariance—between individual stocks' levels of risk that determines overall portfolio risk. As a result, investors 澳洲幸运5开奖号码历史查询:bene♔fi🌄t from holding diversified portfolios instead of individual stocks.

The Efficient Frontier

Now that we understand the benefits of diversification, the question of how to identify the best level of diversification arises. Enter the 澳洲幸运5开奖号码历史查询:efficient frontier.

For every level of return, there is one portfolio that offers the lowest possible risk, and for every level of risk, there is a portfolio that off♎ers tꦗhe highest return. These combinations can be plotted on a graph, and the resulting line is the efficient frontier. The figure below shows the efficient frontier for just two stocks—a high risk/high return technology stock (like Google) and a low risk/low return consumer stock (like Coca-Cola).

Any portfolio that lies on the upper part of the curve is efficient: It gives the maximum 澳洲幸运5开奖号码历史查询:expected return for a given level of risk. A rational investor will only ever hold a p🌜ortfolio that lies somewhere on the efficient frontier. The maximum level of risk that the investor will take on determines the position of the portfolio on the line.

Modern portfolio theory takes this idea even further. It suggests that combining a stock portfolio that sits on the efficient frontier with a 澳洲幸运5开奖号码历史查询:risk-free asset, the purchase of which is funded by borrowing, can actually increase returns beyond the efficient frontier. 🌃In other words, if you were to borrow to acquire a risk-free stock, then the remaining stock portfolio could have a riskier profile and, therefore, a higher return than you might otherwise choose.

What Modern Portfolio Means for You

Modern portfolio theory has had a marked impact on how investors perceive risk, return, and portfolio management. The theory demonstrates that portfolio diversification can reduce investment risk. In fact, modern 澳洲幸运5开奖号码历史查询:money managers routinely follow its precepts. Passive investing also incorporates MPT as investors choose index funds that are low cost and well-diversified. Losses in any in🍌dividual stock are not material enough t♒o damage performance due to the diversification, and the success and prevalence of passive investing is an indication of the ubiquity of modern portfolio theory.

Downsides to Modern Portfolio Theory

As ubiquitous as MPT might be, it still has some shortcomings in the real world. For starters, it often requires investors to rethink notions of risk. Sometimes it demands that the investor take on a perceived risky investment (futures, for example) in order to reduce overall risk. That can be a tough sell to an investor not fa꧂miliar with the benefits of sophisticated portfolio management techniques.

Furthermore, MPT assumes that it is possible to select stocks who☂se individual performance is independent of other investments in the portfolio. But market historians have shown that there are no such instruments. In times of market stress, seemingly independent investments do act as though they are related.

Likewise, it is logical to borrow to hold a risk-free asset and increase your 澳洲幸运5开奖号码历史查询:portfolio returns, but finding a truly risk-free asset is another matter. Government-backed bonds are presumed to be risk-free, but, in reality, they are not. Securities such as gilts and 澳洲幸运5开奖号码历史查询:U.S. Treasury bonds are free of 澳洲幸运5开奖号码历史查询:default risk, but expectations of higher inflation and interest rate changes can bꦦoth affect their value.

Then there is the question of the number of stocks required for diversification. How many is enough? Mutual funds can contain dozens and dozens of stocks. Investment guru William J. Bernstein says that even 100 stocks are not enough to diversify away the unsystematic risk. By contrast, a 1970 study published in the Journal of Business found that a portfolio of 澳洲幸运5开奖号码历史查询:around 30 stocks could provide most of the benefits of diversification.

The Bottom Line

Th♚e gist of MPT is that the market is hard to beat and that the people who beat the market are those who take on above-average risk. It is also implied that these ♔risk-takers will get their comeuppance when markets turn down.

Then again, investors such as 澳洲幸运5开奖号码历史查询:Warren Buffett remind us that portfolio theory is just that—theory. At the end of the day, a portfolio's success rests on the investor's skills and the time that they devote to it. Sometimes it is better to pick a small number of out-of-favor investments and wait for the market to turn in your favor than to rely on 澳洲幸运5开奖号码历史查询:market averages alone.