2011/03/25 by Richard Martin, R. J. Martin, Martin, Richard +2
Economics, Econometrics and Finance · Mathematics · #Economic theories and models #FOS: Economics and business #FOS: Mathematics #Financial Markets and Investment Strategies #Monetary Policy and Economic Impact #Portfolio Management (q-fin.PM) #Probability (math.PR) #Trading and Market Microstructure (q-fin.TR) #math.PR #q-fin.PM #q-fin.TR
paper · pdf · doi:10.48550/arxiv.1103.4934
This is a longer version of an article published in RISK(24)2:84--89 (Feb.~2011)
arxiv created 2011/03/25 · openalex publication_date 2011/03/25 · arxiv updated 2011/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A mean-reverting financial instrument is optimally traded by buying it when it is sufficiently below the estimated `mean level' and selling it when it is above. In the presence of linear transaction costs, a large amount of value is paid away crossing bid-offers unless one devises a `buffer' through which the price must move before a trade is done. In this paper, Richard Martin and Torsten Schöneborn derive the optimal strategy and conclude that for low costs the buffer width is proportional to the cube root of the transaction cost, determining the proportionality constant explicitly.