Senior Honors Projects, 2010-2019
Creative Commons License
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Date of Graduation
Spring 2017
Document Type
Thesis
Degree Name
Bachelor of Science (BS)
Department
Department of Mathematics and Statistics
Advisor(s)
Edwin O'Shea
Abstract
We answer the question, given n currencies and k trades, how can a maximal arbitrage opportunity be found and what is its value? To answer this question, we use techniques from graph theory and employ a max-plus algebra (commonly known as tropical algebra). Further, we show how the tropical eigenvalue of a foreign exchange rate matrix relates to arbitrage among the currencies and can be found algorithmically. We finish by employing time series techniques to study the stability of maximal, high-currency arbitrage opportunities.
Recommended Citation
Mason, Bradley A., "Tropical algebra, graph theory, & foreign exchange arbitrage" (2017). Senior Honors Projects, 2010-2019. 349.
https://commons.lib.jmu.edu/honors201019/349
