Future exchange rates and Siegel's paradox
Mathematical Finance
2018-05-10 v1 Economics
Abstract
Siegel's paradox is a fundamental question in international finance about exchange rates for futures contracts and has puzzled many scholars for over forty years. The unorthodox approach presented in this article leads to an arbitrage-free solution which is invariant under currency re-denominations and is symmetric, as explained. We will also give a complete classification of all such aggregators in the general case. The formula obtained in this setting therefore describes all the negotiated no-arbitrage forward exchange rates in terms of a reciprocity function. Keywords: Siegel's paradox, forward exchange rates, discount bias.
Keywords
Cite
@article{arxiv.1805.03347,
title = {Future exchange rates and Siegel's paradox},
author = {Keivan Mallahi-Karai and Pedram Safari},
journal= {arXiv preprint arXiv:1805.03347},
year = {2018}
}
Comments
To appear in Global Finance Journal. 9 pages