Economy – Quantitative Finance – General Finance
Scientific paper
2011-12-26
Metroeconomica 63:2 (2012), pp. 250-294
Economy
Quantitative Finance
General Finance
35 pages, 48 bibliography references, submitted to Metroeconomica
Scientific paper
10.1111/j.1467-999X.2011.04140.x
This paper investigates arbitrage chains involving four currencies and four foreign exchange trader-arbitrageurs. In contrast with the three-currency case, we find that arbitrage operations when four currencies are present may appear periodic in nature, and not involve smooth convergence to a "balanced" ensemble of exchange rates in which the law of one price holds. The goal of this article is to understand some interesting features of sequences of arbitrage operations, features which might well be relevant in other contexts in finance and economics.
Cross Rod
Kozyakin Victor
O'Callaghan Brian
Pokrovskii Alexei
Pokrovskiy Alexey
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