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On measures of unfairness and an optimal currency transaction tax

Frederik Herzberg
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Abstract

The purpose of the present paper is the analysis of a model describing how herd behaviour and self-fulfilling prophecies can influence currency exchange rates, and what the impact of a currency transaction tax would be. These considerations yield a stochastic differential equation that can be studied using the methods of infinitesimal analysis. We will show, using a suitable notion of unfairness for discounted price processes which measures the distance from being a martingale, that the fairest tax rate is the maximal one subject to the condition that it does not affect real-economic speculation.

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Frederik Herzberg. 2005-06-15. On measures of unfairness and an optimal currency transaction tax. https://arxiv.org/abs/math/0410543

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