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SUMMARY:Linn Engström (KTH Royal Institute of Technology)
DTSTART:20241023T111500Z
DTEND:20241023T120000Z
DTSTAMP:20260422T161047Z
UID:gbgstats/68
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/gbgstats/68/
 ">Computation of Robust Option Prices via Martingale Optimal Transport</a>
 \nby Linn Engström (KTH Royal Institute of Technology) as part of Gothenb
 urg statistics seminar\n\nLecture held in MVL14.\n\nAbstract\nDuring the l
 ast decade there has been a rapid development of methods for computational
 ly addressing optimal transport problems\; motivated by applications withi
 n robust finance\, effort has also been made to generalize some of these t
 echniques to problems equipped with an additional martingale constraint. C
 omputationally solving multi-marginal martingale optimal transport problem
 s remains a challenging task though\, particularly for problems formulated
  with a large number of marginals.\n\nIn this talk I will give a brief int
 roduction to the martingale optimal transport problem and motivate why it 
 is interesting from a mathematical finance point of view\, before presenti
 ng an efficient framework for solving a class of such multi-marginal probl
 ems computationally. The method combines the celebrated entropic regulariz
 ation with the exploitation of certain structures inherent in the problem\
 , enabling fast computation of the optimal dual variables. I will also pro
 vide some examples that demonstrates the utility of our method in terms of
  computing model-independent bounds on the fair price of some exotic optio
 ns\, such as lookback options and Asian options. The talk is based on join
 t work with Sigrid Källblad and Johan Karlsson.\n
LOCATION:https://researchseminars.org/talk/gbgstats/68/
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