Eroding market stability by proliferation of financial instruments

We contrast Arbitrage Pricing Theory (APT), the theoretical basis for the development of financial instruments, with a dynamical picture of an interacting market, in a simple setting. The proliferation of financial instruments apparently provides more means for risk diversification, making the market more efficient and complete. In the simple market of interacting traders discussed here, the proliferation of financial instruments erodes systemic stability and it drives the market to a critical state characterized by large susceptibility, strong fluctuations and enhanced correlations among risks. This suggests that the hypothesis of APT may not be compatible with a stable market dynamics. In this perspective, market stability acquires the properties of a common good, which suggests that appropriate measures should be introduced in derivative markets, to preserve stability.

[1]  C. Osler.  Macro Lessons from Microstructure , 2005 .

[2]  Ginestra Bianconi,et al.  Effects of Tobin Taxes in Minority Game markets , 2006 .

[3]  Jean-Philippe Bouchaud,et al.  Self Referential Behaviour, Overreaction and Conventions in Financial Markets , 2003 .

[4]  M. Avellaneda,et al.  A market-induced mechanism for stock pinning , 2003 .

[5]  J. Bouchaud.  Economics needs a scientific revolution , 2008, Nature.

[6]  Matteo Marsili,et al.  Dynamic instability in a phenomenological model of correlated assets , 2005, physics/0508159.

[7]  S. Pliska.  Introduction to Mathematical Finance: Discrete Time Models , 1997 .

[8]  M. Avellaneda,et al.  A Market-Induced Mechanism for Stock Pinning , 2003 .

[9]  M. Marsili,et al.  TOPICAL REVIEW: Statistical mechanics of socio-economic systems with heterogeneous agents , 2006, physics/0606107.

[10]  M. Marchesi,et al.  Scaling and criticality in a stochastic multi-agent model of a financial market , 1999, Nature.

[11]  The Design of Financial Systems: Towards a Synthesis of Function and Structure , 2004 .

[12]  Andrew G. Glen,et al.  APPL , 2001 .

[13]  Sanjay Jain,et al.  Diversity Begets Stability in an Evolving Network , 2007, 0705.1075.

[14]  G. Papanicolaou,et al.  General Black-Scholes models accounting for increased market volatility from hedging strategies , 1998 .

[15]  R. Rosenfeld.  Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[16]  J. Farmer,et al.  The price dynamics of common trading strategies , 2000, cond-mat/0012419.

[17]  ROBERT M. MAY,et al.  Will a Large Complex System be Stable? , 1972, Nature.

[18]  J. Bouchaud,et al.  How Markets Slowly Digest Changes in Supply and Demand , 2008, 0809.0822.

[19]  Matteo Marsili,et al.  Criticality and market efficiency in a simple realistic model of the stock market. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  James Tobin.  The New Economics One Decade Older , 1974 .

[21]  W. Montgomery,et al.  Markets in Licenses and Efficient Pollution Control Programs" Journal of Economic Theory , 1972 .

[22]  R. Shiller.  The Subprime Solution , 2012 .

[23]  R. Gencay,et al.  An Introduc-tion to High-Frequency Finance , 2001 .

[24]  S. Morris,et al.  Financial Regulation in a System Context , 2009 .