Martingale Inequalities, Optimal Martingale Transport, and Robust Superhedging

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Martingale optimal transport and robust hedging

The martingale optimal transport problem is motivated by model-independent bounds for the pricing and hedging exotic options. In the simplest one-period model, the dual formulation of the robust superhedg-ing cost differs from the standard optimal transport problem by the presence of a martingale constraint on the set of coupling measures. The one-dimensional Brenier theorem has a natural exten...

متن کامل

Martingale Optimal Transport

The original transport problem is to optimally move a pile of soil to an excavation. Mathematically, given two measures of equal mass, we look for an optimal map that takes one measure to the other one and also minimizes a given cost functional. Kantorovich relaxed this problem by considering a measure whose marginals agree with given two measures instead of a bijection. This generalization lin...

متن کامل

Martingale Optimal Transport with Stopping

We solve the martingale optimal transport problem for cost functionals represented by optimal stopping problems. The measure-valued martingale approach developed in ArXiv: 1507.02651 allows us to obtain an equivalent infinitedimensional controller-stopper problem. We use the stochastic Perron’s method and characterize the finite dimensional approximation as a viscosity solution to the correspon...

متن کامل

Non-commutative Martingale Inequalities

We prove the analogue of the classical Burkholder-Gundy inequalites for noncommutative martingales. As applications we give a characterization for an Ito-Clifford integral to be an L-martingale via its integrand, and then extend the Ito-Clifford integral theory in L, developed by Barnett, Streater and Wilde, to L for all 1 < p < ∞. We include an appendix on the non-commutative analogue of the c...

متن کامل

Martingale Optimal Transport in the Skorokhod Space

The dual representation of the martingale optimal transport problem in the Skorokhod space of multi dimensional càdlàg processes is proved. The dual is a minimization problem with constraints involving stochastic integrals and is similar to the Kantorovich dual of the standard optimal transport problem. The constraints are required to hold for very path in the Skorokhod space. This problem has ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: ESAIM: Proceedings and Surveys

سال: 2014

ISSN: 2267-3059

DOI: 10.1051/proc/201445004