Blueprint of a trend: How does a financial bubble burst?

(Press-News.org) BOSTON—A joint study by academics in Switzerland, Germany and at Boston University sheds new light on the formation of financial bubbles and crashes. Wild fluctuations in stock prices caused by bubbles bursting have had a dramatic impact on the world economy and the personal fortunes of millions of us in the last few years.

The study "Switching processes in financial markets" will be published in the Proceedings of the National Academy of Sciences on May 10 and reveals a general empirical law quantifying market behavior near bubbles and crashes—these are either price lows where the share price falls before starting to rise again or price highs where the price peaks before falling.

"We asked whether or not there are regularities either just before or just after market highs and lows", says lead researcher Dr. Tobias Preis of the Swiss Federal Institute of Technology in Zurich, who specializes in analyzing and modeling financial markets. Preis is also at the Center for Polymer Studies at Boston University.

This study involved synchronizing more than 2.6 billion transactions which occurred at the European Exchange (EUREX) in Germany and at the New York Stock Exchange (NYSE) in the U.S. Preis and his fellow authors Dr. Johannes J. Schneider at the Johannes Gutenberg University Mainz and Prof. H. Eugene Stanley, also at Boston University, analyzed microtrends and macrotrends in financial markets using three fluctuating quantities: the price of each transaction, the transaction volume, and the time between individual transactions.

"We applied our methodology to local highs and local lows in the price on very different time scales ranging from milliseconds to 100 days," says Stanley. What the researchers find is that there is a unique empirical law near bubbles and crashes, or trend changes quantifying both transaction volume and time between transactions in all the financial markets analyzed. "Even more surprising," says Preis, "we find that this empirical law with a unique parameter is valid for very small bubbles as well as for huge bubbles." In other words, the formation of bullish and bearish trends does not depend on the time scale. The well known catastrophic bubbles that occur over large time scales, such as the global financial crashes of 1929 and 2008, are not outliers. "We found the blueprint of financial trends," summarizes Preis and concludes: "We can learn from the large number of tiny bubbles how huge market bubbles emerge and burst. The challenge is to destroy bubbles before they become huge."

The importance of these findings is echoed by Dirk Helbing, professor of sociology at the Swiss Federal Institute of Technology. Helbing leads the FuturICT Flagship project, which intends to unify the best scientists in a 10-year program of the European Union to explore social life on earth and everything it relates to. "One ultimate goal of the FuturICT project is to manage challenges that make the modern world so difficult to predict, including financial crises. The discovery by Tobias Preis and his colleagues may be of crucial importance for the financial and economic crisis observatory that this flagship project will create."

### The blueprint of bubbles and crashes is also the subject of a feature article in the May issue of Physics World (Tobias Preis and H. Eugene Stanley, "Bubble trouble," Physics World 24, 29-32 2011)

Contact:
Dr. Tobias Preis,
Center for Polymer Studies and Department of Physics, Boston University, Boston, USA
preis@physics.bu.edu or mail@tobiaspreis.de
http://www.tobiaspreis.de
T +49-178-3358225

"Switching processes in financial markets",
Proceedings of the National Academy of Science (PNAS),
Online before print version can be found at http://www.pnas.org/cgi/doi/10.1073/pnas.1019484108

About the Center for Polymer Studies at Boston University—The Center for Polymer Studies (CPS) is a scientific visualization research center in the Physics Department and Science and Mathematics Education Center at Boston University. CPS is devoted to interdisciplinary research in aspects of polymer, random, and fractal systems and applies its our expertise in this area to develop experimental and computational materials for high school and undergraduate education.

About Boston University—Founded in 1839, Boston University is an internationally recognized institution of higher education and research. With more than 30,000 students, it is the fourth largest independent university in the United States. BU contains 17 colleges and schools along with a number of multi-disciplinary centers and institutes which are central to the school's research and teaching mission.