Market Impact Paradoxes
Author(s) -
Skachkov Igor
Publication year - 2014
Publication title -
wilmott
Language(s) - English
Resource type - Journals
eISSN - 1541-8286
pISSN - 1540-6962
DOI - 10.1002/wilm.10311
Subject(s) - volume weighted average price , isochoric process , algorithmic trading , constant (computer programming) , arbitrage , volume (thermodynamics) , transaction cost , economics , trading strategy , econometrics , monotonic function , financial economics , mathematics , microeconomics , market maker , computer science , stock market , thermodynamics , mathematical analysis , paleontology , physics , horse , biology , programming language
The market impact ( MI ) of volume‐weighted average price (VWAP) orders is a convex function of a trading rate, but most empirical estimates of transaction costs are concave functions. How is this possible? We show that an isochronic (constant trading time) MI is slightly convex, and an isochoric (constant trading volume) MI is concave. We suggest a model that fits all trading regimes and guarantees no dynamic arbitrage.
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