Deterministic Criteria for the Absence and Existence of Arbitrage in Multi-Dimensional Diffusion Markets
David Criens
Papers from arXiv.org
Abstract:
We derive deterministic criteria for the existence and non-existence of equivalent (local) martingale measures for financial markets driven by multi-dimensional time-inhomogeneous diffusions. Our conditions can be used to construct financial markets in which the \emph{no unbounded profit with bounded risk} condition holds, while the classical \emph{no free lunch with vanishing risk} condition fails.
Date: 2016-09, Revised 2017-12
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1609.01621
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