The classical version of the Fundamental Theorem of Asset Pricing requires that zero-sets of the real-world probability measure P are known. We chose a different route and start from a possibly non-dominated set of probability measures P representing uncertainty about the zero-sets of the real...

We introduce a new class of flexible and tractable matrix affine jump-diffusions (AJD) to model multivariate sources of financial risk. We first provide a complete transform analysis of this model class, which opens a range of new potential applications to, e.g., multivariate option pricing with...

It is common in the financial mathematics literature to start by fixing a probability space $(\Omega,\mathcal F,\mathbb P)$, on which the underlying price process is defined. We depart from this route in that we do not fix the prior $\mathbb P$. Under very general assumptions, we recover the...