Motivated by new financial markets where there is no canonical choice of a risk-neutral measure, we compared two different methods for pricing options: calibration with an entropic penalty term and valuation by the Esscher measure. The main aim of this paper is to contrast the outcomes of those...

Motivated by new financial markets where there is no canonical choice of a risk-neutral measure, we compared two different methods for pricing options: calibration with an entropic penalty term and valuation by the Esscher measure. The main aim of this paper is to contrast the outcomes of those...

We study arbitrage opportunities in diverse markets as introduced by R. Fernholz in [Fer99]. By a change of measure technique we are able to generate a variety of diverse markets. The construction is based on an absolutely continuous, but nonequivalent measure change which implies the existence...

The main contribution of this paper is to identify the strong predictive power of the relative, rather than the absolute, volume of orders over volatility. To this end, we propose a new measure, relative liquidity, which accounts for how quoted depth is distributed in a limit order book and...

A Margrabe or exchange option is an option to exchange one asset for another. In a general stochastic volatility framework, by taking the second asset as a numeraire, we derive pricing as well as second order approximative pricing formulae for Margrabe options. This can only be done under...