We apply Geometric Arbitrage Theory to obtain results in Mathematical Finance, which do not need stochastic differential geometry in their formulation.First, for a generic market dynamics given by a multidimensional Itô's process we specify and prove the equivalence between (NFLVR) and expected...

We apply Geometric Arbitrage Theory to obtain results in mathematical finance for credit markets, which do not need stochastic differential geometry in their formulation. We obtain closed form equations involving default intensities and loss given defaults characterizing the...

In this work, we identify the most general measure of arbitrage for any market model governed by Ito processes. We show that our arbitrage measure is invariant under changes of numeraire and equivalent probability. Moreover, such measure has a geometrical interpretation as a gauge connection....