New York University Skip to Content Skip to Search Skip to Navigation Skip to Sub Navigation

Portfolio Diversification, Optimization Matches Nobel-Winning Theory—60 Years Later

March 27, 2014

The practice of portfolio optimization and diversification has finally caught up with theory—more than 60 years after Nobel-Prize-winning economist Harry Markowitz devised the concept.

The conclusion is based on an analysis, which appears in the European Journal of Operational Research, by Petter Kolm, a professor at New York University’s Courant Institute of Mathematical Sciences, Reha Tütüncü, managing director at Goldman Sachs Asset Management, and Frank Fabozzi, a professor at France’s EDHEC Business School.

Their analysis may be read here.

Markowitz’s paper, “Portfolio Selection,” published in 1952, and his subsequent book, Portfolio Selection: Efficient Diversification (1959), posited that risk in a portfolio depends on the individual variances of the return on different assets as well as covariances of all assets. In other words, the risk of an asset is not the risk of each asset in isolation, but, rather, the contribution of each asset to the risk of the portfolio as a whole.

In effect, this means that risk cannot be totally eliminated from any portfolio. However, Markowitz’s theory offered some guidance for investment managers. Specifically, it outlined how wealth can be optimally invested in assets that differ with regard to their expected return and risk—and, thereby also how risks can be reduced.

Markowitz was awarded the 1990 Nobel Prize in Economics, which he shared with Merton Miller and William Sharpe, in recognition of his work.

However, when investment managers sought to put Markowitz’s theory into practice in subsequent decades, the results were subpar, leading many to question its validity.

Yet, as Kolm and his colleagues describe, the problem was not the theory, but, rather, how to use it in practice.

“By the early 1990s, it became more widely clear why Markowitz’s portfolio optimization didn’t work well in practice: it is very sensitive to small changes and estimation errors in the model inputs,” says Kolm.

Notably, he explains, portfolio managers that don’t use care in estimating the inputs (the expected security returns and covariances) may grossly miscalculate their optimal portfolio allocations —the old “garbage in, garbage out” dynamic.

However, in the past two decades, investment professionals have developed methods to improve their estimation of inputs —and enhanced their ability to make more accurate portfolio allocations.

In their analysis, the authors discuss a number of practical developments in portfolio construction, including the inclusion of transaction costs, investment constraints, and sophisticated multi-period forecasting models.

However, they caution that a better match between Markowitz’s theory and investment practice does not mean risk is fully understood.

“Markowitz’s framework provides one way of measuring risks—but not extreme risks,” Kolm observes. “Extreme forms of risk, also referred to as ‘tail risk’—that’s an area we don’t quite understand how to handle practically.”

This Press Release is in the following Topics:
Arts and Science, Research, Faculty

Type: Press Release

Press Contact: James Devitt | (212) 998-6808

Portfolio Diversification, Optimization Matches Nobel-Winning Theory—60 Years Later

The practice of portfolio optimization and diversification has finally caught up with theory—more than 60 years after Nobel-Prize-winning economist Harry Markowitz devised the concept, writes the Courant Institute’s Petter Kolm. ©

Search News

NYU In the News

NYU Received a Record Number of Applications

Capital New York reported NYU received a record 60,322 applications for the class of 2019, an increase of about 15 percent since last year.

NYU Students Help City Crack Down on Hookah Bars

Capital New York reported that NYU students helped New York City crack down on hookah bars that illegally include tobacco in their hookahs:

Rudin Center Study Says Mass Transit Helps Economic Mobility

The Wall Street Journal wrote about a report by Wagner’s Rudin Center that showed that mass transit could be more important than education in determining economic mobility.

Brennan Center Report Says Campaign Spending Has Jumped

Frontline did a piece about a report by the Brennan Center for Justice that said that campaign spending by outside groups has more than doubled in the last five years.

NYU’s Dorms Ranked Among the Best in the Nation ranked NYU’s student residences third in the country in its list of best college dorms.


NYU Footer