2017 IMS-FIPS Workshop

July 27-28, 2017, UNIVERSITY OF MARYLAND, BALTIMORE COUNTY
This is the 7th Special INTEREST WORKSHOP, CO-SPONSORED BY THE INSTITUTE OF MATHEMATICAL STATISTICS, FOCUSED ON THE APPLICATIONS OF PROBABILITY AND STATISTICS IN THE FIELDS OF FINANCE AND INSURANCE

Participant Information

Albert Pete Kyle from University of Maryland.

Paper: Dimensional Analysis, Leverage Neutrality, and Market Microstructure Invariance

This paper combines dimensional analysis, leverage neutrality, and a principle of market mi- crostructure invariance to derive scaling laws expressing transaction costs functions, bid-ask spreads, bet sizes, number of bets, and other financial variables in terms of dollar trading volume and volatility. The scaling laws are illustrated using data on bid-ask spreads and number of trades for Russian and U.S. stocks. These scaling laws provide practical metrics for risk managers and traders; scientific benchmarks for evaluating controversial issues related to high frequency trading, market crashes, and liquidity measurement; and guidelines for designing policies in the aftermath of financial crisis.