Is Your Investment Portfolio Efficient?
Updated: May 7, 2019
Summary: We find out how to build an efficient portfolio using Nobel Prize-winning methodology and discover that an efficient portfolio is the best possible portfolio.
Let's identify all of the securities we would consider suitable to hold in an investment portfolio. One way to do this is to start with all the securities in the world and apply screening criteria. For example, from the set of all securities keep only those that are publicly traded, highly liquid, well-regulated and whose market capitalization exceeds some threshold. There are many reasonable screening criteria we can apply, but whatever criteria we do apply, we would likely end up with tens of thousands of stocks, bonds and funds from all regions of the globe. We represent these securities in return-risk space in Figure 1.
Given this multitude of available securities, how do we build the best possible portfolio? This is one of the most challenging problems in all of financial economics and the solution is provided by the Nobel Prize-winning diversification theory of the economist Harry Markowitz.,  The essence of his theory is that when securities are combined in a portfolio, their risks partially offset each other but their returns do not. More precisely, a portfolio’s return is the weighted average return of its constituent securities whereas the portfolio’s risk is less than the weighted average risk of its constituents—this is often referred to as the only free lunch in financial economics. Therefore, by carefully combining securities, a portfolio can be constructed for any targeted investment return that has the lowest risk of any portfolio which offers the same return. And when we repeat this process for many return targets we obtain a pairing between returns and the lowest-risk portfolios that offer those returns. The collection of these return-risk pairs, called the efficient frontier, is plotted in Figure 2.
All the portfolios that lie on the efficient frontier are called efficient portfolios. Efficient portfolios provide the best risk-return combinations—they produce the lowest risk for a targeted return, or equivalently, the highest return for a target level of risk—and are thus candidates for the ‘best possible’, or optimal portfolio. Notice that all the individual securities lie inside the frontier. This tells us no portfolio of individual securities is optimal and illustrates the principle of diversification: diversifying investments leads to portfolios with higher returns and lower risk. The development of diversification theory and the efficient frontier has permanently changed the portfolio management environment and its significance cannot be overstated.
Let’s summarize. We started with a large universe of securities and considered the problem of building an optimal portfolio. Guided by Nobel Prize-winning diversification theory we constructed the efficient frontier. Portfolios on the frontier are optimal, delivering the highest return for a given level of risk. All that remains for us to do is to select a level of risk that is compatible with the investor’s requirements.
Freshfield builds efficient portfolios for our clients. We first ascertain the level of risk which is compatible with a client’s risk aversion and then build a portfolio on the efficient frontier that corresponds to that level of risk. See Figure 3.
The Next Step
If you wish to discuss the topics in this article, or arrange a personal consultation to discuss your investments, please contact Dr. Andreas Lawson at Andreas@FreshfieldInvestments.com or 469-231-6040.
Learn more about Dr. Andreas Lawson at www.FreshfieldInvestments.com/About
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Freshfield Investments/Freshfield Capital LLC is a Registered Investment Advisor. The firm offers portfolio management and financial advice as a fiduciary, meaning we are obliged to always act in a client's best interest. The firm does not earn commissions by selling products such as annuities or mutual funds. Investment services are available to clients residing in the U.S., Europe and Asia. The managing member is Dr. Andreas Uwe Lawson, B.S., M.S., Ph.D. Freshfield Investments is located at 1800 Preston Park Blvd, Suite 105, Plano, Texas 75093.
 Harry M. Markowitz, The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 1990
 Markowitz, H.M. (March 1952). "Portfolio Selection". The Journal of Finance. 7 (1): 77–91.