We investigate the optimal martingale transport problem under additional constraints and its application to robust price bounds for financial derivatives. More specifically, we derive improved price bounds by taking into account supplementary information about the variance of the returns on the...

We propose a general, accurate and fast econometric approach for the estimation of affine option pricing models. The algorithm belongs to the class of Laplace-Type Estimation (LTE) techniques and exploits Sequential Monte Carlo (SMC) methods. We employ functions of the risk-neutral cumulants...

We study the optimal martingale transport problem under an additional constraint imposing the underlying process to be Markovian. This formulation results in a modified transportation problem in which the solutions correspond to robust price bounds for exotic derivatives within the class of...