We consider a financial model where stocks are available for dynamic trading, and European and American options are available for static trading (semi-static trading strategies). We assume that the American options are infinitely divisible, and can only be bought but not sold. We first get the...

We consider the fundamental theorem of asset pricing (FTAP) and hedging prices of options under non-dominated model uncertainty and portfolio constrains in discrete time. We first show that no arbitrage holds if and only if there exists some family of probability measures such that any...

A market model with d assets in discrete time is considered where trades are subject to proportional transaction costs given via bid-ask spreads, while the existence of a numeraire is not assumed. It is shown that robust no arbitrage holds if, and only if, there exists a Pareto solution for some...