We present a multi-period mean-variance optimization program which allows for a joint optimization of the balance and off-balance sheet. Our first finding is the proof of a conjecture of Li and Ng (2000), Leippold, Trojani and Vanini (2004, 2003) about the equivalence of the original...

As we leave behind the assumption of normality in return distributions, the classical risk-reward Sharpe Ratio becomes a questionable tool for ranking risky projects. In the spirit of Sharpe thinking, a more general risk-reward ratio Phi suitable to compare skewed return distributions with...

This paper addresses a classical problem in corporate finance concerning the impact of leverage on financial performance measures. A popular leverage formula suggests to increase the leverage to raise the Return on Equity (ROE), if the condition that the rate of Return of Investment (ROI) is...

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...

Geometric Arbitrage Theory reformulates a generic asset model possibly allowing for arbitrage by packaging all assets and their forwards dynamics into a stochastic principal fibre bundle, with a connection whose parallel transport encodes discounting and portfolio rebalancing, and whose...

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....