Visualizing Stock-Mutual Fund Relationships Through Social Network Analysis

In this paper we analyze the network structure of stocks (as actors in a 2mode/affiliation social network) and their relationship to mutual funds. The analysis reveals a network structure that has both the “hub” and “small world” characteristics of many common social and physical networks thus suggesting that stock affiliation in mutual funds is not a random phenomenon even though the mutual fund selection was done randomly. The data for the analysis is based on a random sample of 18 mutual (stock) funds from the Vanguard and Fidelity family of funds and 99 unique stocks which were part of the 10 top holdings in each fund. This study may also suggest that institutional investors are prone to herd behavior (a social network phenomena), and/or risk aversion shown by the high concentration of (similar) blue-chips in their portfolios.

[1]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[2]  Russ Wermers,et al.  Mutual Fund Performance: An Empirical Decomposition into Stock-Picking Talent, Style, Transactions Costs, and Expenses , 2000 .

[3]  Michael Jünger,et al.  Graph Drawing Software , 2003, Graph Drawing Software.

[4]  Mark S. Granovetter.  The Impact of Social Structure on Economic Outcomes Social Networks and Economic Outcomes: Core Principles , 2022 .

[5]  John Guare,et al.  Six Degrees of Separation: A Play , 1990 .

[6]  John Scott.  What is social network analysis , 2010 .

[7]  Joseph Galaskiewicz,et al.  An urban grants economy revisited: Corporate charitable contributions in the twin cities, 1979-81, 1987-89 , 1997 .

[8]  Carson C. Chow,et al.  Small Worlds , 2000 .

[9]  Vladimir Batagelj,et al.  Pajek - Analysis and Visualization of Large Networks , 2004, Graph Drawing Software.

[10]  Jie Wu,et al.  Small Worlds: The Dynamics of Networks between Order and Randomness , 2003 .

[11]  Vladimir Batagelj,et al.  Pajek - Program for Large Network Analysis , 1999 .

[12]  Tom A. B. Snijders,et al.  Social Network Analysis , 2011, International Encyclopedia of Statistical Science.

[13]  M. Newman,et al.  Random graphs with arbitrary degree distributions and their applications. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  H E Stanley,et al.  Classes of small-world networks. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[15]  George A. Barnett,et al.  Hyperlink-affiliation network structure of top web sites: Examining affiliates with hyperlink in Korea , 2002, J. Assoc. Inf. Sci. Technol..

[16]  Gesine Reinert,et al.  Small worlds , 2001, Random Struct. Algorithms.

[17]  Vladimir Batagelj,et al.  Exploratory Social Network Analysis with Pajek , 2005 .

[18]  Alan M. Frieze,et al.  Random graphs , 2006, SODA '06.