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Mathematical Finance and Probability Seminars

Martingale optimal transport with stopping

Tuesday, April 11, 2017 at 11:45am - 12:45pm

Yavor Stoev, University of Michigan: 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 infinite-dimensional controller-stopper problem. We use the stochastic Perron's method and characterize the finite dimensional approximation as a viscosity solution to the corresponding HJB equation. It turns out that this solution is the concave envelope of the cost function with respect to the atoms of the terminal law. We demonstrate the results by finding explicit solutions for a class of cost functions.

Joint work with Erhan Bayraktar (UM) and Alex Cox (Bath)
Location   Hill 705

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Mathematical Finance Master's Program

Department of Mathematics, Hill 348
Hill Center for Mathematical Sciences
Rutgers, The State University of New Jersey
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