Modeling and Simulation of an Artificial Stock Option Market

Since their introduction in 1973, options have become an important and very popular financial instrument. However, despite much research performed on the subject, the effects of option trading on the underlying asset market are still debated. Both empirical and theoretical studies have failed to point out how price volatility and volumes of the underlying asset are affected. In this paper we present the first study on the effects of an option market related to an underlying stock market, using an artificial financial market based on heterogeneous agents. We modeled a realistic European option using two market models. The microstructure of the first model is kept as simple as possible, being composed only of random traders. The second model is more complex and realistic, involving the presence of various kinds of trading strategies (random, fundamentalist and chartist). We show that the introduction of options, in the proposed models, tends to decrease the volatility of the underlying stock price. Moreover, the traders’ wealth can be strongly affected by the use of option hedging.

[1]  Jennifer S. Conrad The Price Effect of Option Introduction , 1989 .

[2]  Michele Marchesi,et al.  Traders' Long-Run Wealth in an Artificial Financial Market , 2003 .

[3]  M. R. Kabir New Evidence on Price and Volatility Effects of Stock Option Introductions , 1997 .

[4]  Sorin M. Sorescu The Effect of Options on Stock Prices: 1973 to 1995 , 2000 .

[5]  R. Tompkins Implied volatility surfaces: uncovering regularities for options on financial futures , 2001 .

[6]  M. R. Kabir The price and volatility effects of stock option introductions : A Reexamination , 2000 .

[7]  R. C. Merton,et al.  Theory of Rational Option Pricing , 2015, World Scientific Reference on Contingent Claims Analysis in Corporate Finance.

[8]  B. Heer,et al.  The effect of option trading at the DTB on the underlying stocks' return variance , 1997 .

[9]  St. Pierre,et al.  The impact of option introduction on the conditional return distribution of underlying securities , 1998 .

[10]  F. Black,et al.  The Pricing of Options and Corporate Liabilities , 1973, Journal of Political Economy.

[11]  Michele Marchesi,et al.  Using an artificial financial market for assessing the impact of Tobin-like transaction taxes , 2008 .

[12]  M. Marchesi,et al.  Agent-based simulation of a financial market , 2001, cond-mat/0103600.

[13]  J. Hull Options, Futures, and Other Derivatives , 1989 .

[14]  The Impact of Transaction Taxes on Traders' Behaviour and Wealth: a Microsimulation , 2005 .

[15]  Theoharry Grammatikos,et al.  Options Trading and the Bid-Ask Spread of the Underlying Stocks , 1992 .

[16]  Douglas J. Skinner Options markets and stock return volatility , 1989 .

[17]  R. Palmer,et al.  Artificial economic life: a simple model of a stockmarket , 1994 .

[18]  Atulya Sarin,et al.  The Impact of Options Trading on the Market Quality of the Underlying Security: An Empirical Analysis , 1998 .

[19]  S. Ross Options and Efficiency , 1976 .

[20]  Susan M. L. Zee,et al.  The Effect of Option Listing on Bid-Ask Spreads, Price Volatility, and Trading Activity of the Underlying OTC Stocks , 1997 .

[21]  Nicolas P. B. Bollen A note on the impact of options on stock return volatility1 , 1998 .

[22]  The Influence of Heterogeneous Preferences on Asset Prices in an Incomplete Market Model , 2001 .

[23]  Nils H. Hakansson,et al.  Changes in the Financial Market: Welfare and Price Effects and the Basic Theorems of Value Conservation , 1982 .