TY - JOUR AU - Lehmann,Bruce TI - Arbitrage-free Limit Order Books and the Pricing of Order Flow Risk JF - National Bureau of Economic Research Working Paper Series VL - No. 13848 PY - 2008 Y2 - March 2008 UR - http://www.nber.org/papers/w13848 L1 - http://www.nber.org/papers/w13848.pdf N1 - Author contact info: Bruce Lehmann University of California, San Diego IR/PS 1415 Robinson Building Complex La Jolla, CA 92093-0519 Tel: 858/534-0945 Fax: 858/534-3939 E-Mail: blehmann@ucsd.edu AB - This paper builds on the landmark contribution of Glosten (1994) by treating the determination of limit order supply schedules as an exercise in asset pricing theory with the possible sizes of incoming market orders as the value-relevant states of nature, yielding an analogue of the Fundamental Theorem of Asset Pricing. State prices and price impact prove to be proportional to the slope of the book and simple nonparametric and semiparametric models for limit order book dynamics arise when the price of order flow risk is constant over time, providing a comprehensive and coherent framework for organizing limit order book data. ER -