Asset Prices and Trading Volume under Fixed Transactions Costs

We propose a dynamic equilibrium model of asset prices and trading volume with heterogeneous agents fixed transactions costs. We show that even small fixed costs can give rise to large "no-trade" regions for each agent's optimal trading policy and a significant illiquidity discount in asset prices. We perform a calibration exercise to illustrate the empirical relevance of our model for aggregate data. Our model also has implications for the dynamics of order flow, bid/ask spreads, market depth, the allocation of trading costs between buyers and sellers, and other aspects of market microstructure, including a square-root power law between trading volume and fixed costs which we confirm using historical US stock market data from 1993 to 1997.

[1]  L. Summers,et al.  When financial markets work too well: A cautious case for a securities transactions tax , 1989 .

[2]  Haim Mendelson,et al.  Liquidity and Stock Returns , 1986 .

[3]  Darrell Duffie,et al.  Theory of Valuation: Frontiers of Modern Financial Theory , 1989 .

[4]  A. R. Norman,et al.  Portfolio Selection with Transaction Costs , 1990, Math. Oper. Res..

[5]  Donna S. Watson,et al.  The only game in town , 2002 .

[6]  Jean-Luc Vila,et al.  Arbitrage With Holding Costs: A Utility-Based Approach , 1992 .

[7]  Jiang Wang,et al.  Trading Volume: Definitions, Data Analysis, and Implications of Portfolio Theory , 2000 .

[8]  Dimitri Vayanos,et al.  Transaction Costs and Asset Prices: A Dynamic Equilibrium model , 1998 .

[9]  James Tobin,et al.  The Interest-Elasticity of Transactions Demand For Cash , 1956 .

[10]  Jerome F. Eastham,et al.  Optimal Impulse Control of Portfolios , 1988, Math. Oper. Res..

[11]  Ming Huang,et al.  Liquidity shocks and equilibrium liquidity premia , 2003, J. Econ. Theory.

[12]  James A. Ohlson,et al.  Valuation of risky assets in arbitrage-free economies with transactions costs , 1981 .

[13]  Guy Laroque,et al.  Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods , 1987 .

[14]  A. Kyle,et al.  Smart Money, Noise Trading and Stock Price Behavior , 1988 .

[15]  P. Wilmott,et al.  Portfolio Management With Transaction Costs: An Asymptotic Analysis Of The Morton And Pliska Model , 1995 .

[16]  B. Dumas Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World , 1992 .

[17]  Gady Jacoby,et al.  On Asset Pricing and the Bid-Ask Spread , 2001 .

[18]  Ben S. Bernanke,et al.  Adjustment Costs, Durables, and Aggregate Consumption , 1982 .

[19]  Deborah Lucas,et al.  Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing , 1993, Journal of Political Economy.

[20]  Jiang Wang,et al.  A Model of Competitive Stock Trading Volume , 1994, Journal of Political Economy.

[21]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[22]  N. Patel,et al.  A Simple Algorithm for Optimal Portfolio Selection with Fixed Transaction Costs , 1982 .

[23]  Paul R. Milgrom,et al.  Bid, ask and transaction prices in a specialist market with heterogeneously informed traders , 1985 .

[24]  Sanford J. Grossman,et al.  Liquidity and Market Structure , 1988 .

[25]  J. Harrison,et al.  Brownian motion and stochastic flow systems , 1986 .

[26]  Ralf Korn,et al.  Portfolio optimisation with strictly positive transaction costs and impulse control , 1998, Finance Stochastics.

[27]  S. Aiyagari,et al.  Asset Returns With Transactions Costs And Uninsured Individual Risk: A Stage Iii Exercise , 1991 .

[28]  S. Pliska,et al.  OPTIMAL PORTFOLIO MANAGEMENT WITH FIXED TRANSACTION COSTS , 1995 .

[29]  J. Stiglitz Using tax policy to curb speculative short-term trading , 1989 .

[30]  Jiang Wang,et al.  Trading and Returns under Periodic Market Closures , 2000 .

[31]  A. Dixit Entry and Exit Decisions under Uncertainty , 1989, Journal of Political Economy.

[32]  G. Constantinides Capital Market Equilibrium with Transaction Costs , 1986, Journal of Political Economy.

[33]  Jiang Wang,et al.  MARKET STRUCTURE, SECURITY PRICES, AND INFORMATIONAL EFFICIENCY , 1997, Macroeconomic Dynamics.

[34]  William J. Baumol,et al.  The Transactions Demand for Cash: An Inventory Theoretic Approach , 1952 .

[35]  William H. Press,et al.  Book-Review - Numerical Recipes in Pascal - the Art of Scientific Computing , 1989 .

[36]  H. Demsetz,et al.  The Cost of Transacting , 1968 .

[37]  J. Stiglitz,et al.  Value, Capital, and Growth: Papers in Honour of Sir John Hicks. , 1969 .

[38]  Fernando Zapatero,et al.  Classical and Impulse Stochastic Control of the Exchange Rate Using Interest Rates and Reserves , 2000 .

[39]  M. Rothschild,et al.  On the Cost of Adjustment , 1971 .

[40]  Maureen O'Hara,et al.  PRICE, TRADE SIZE, AND INFORMATION IN SECURITIES MARKETS* , 1987 .

[41]  Jay Shanken,et al.  Intertemporal asset pricing: An Empirical Investigation , 1990 .

[42]  Bernd Meyer Intertemporal Asset Pricing , 1999 .

[43]  George M. Constantinides,et al.  Stochastic Cash Management with Fixed and Proportional Transaction Costs , 1976 .

[44]  K. Arrow OPTIMAL CAPITAL POLICY WITH IRREVERSIBLE INVESTMENT , 1966 .

[45]  A. Kyle Continuous Auctions and Insider Trading , 1985 .

[46]  James Tobin,et al.  On the efficiency of the financial system , 1984 .

[47]  Dimitri Vayanos,et al.  Equilibrium interest rate and liquidity premium with transaction costs , 1999 .

[48]  B. Dumas,et al.  An Exact Solution to a Dynamic Portfolio Choice Problem under Transactions Costs , 1991 .