In this study,we consider two problems.The first one is the problem of computing hedging
portfolios for options that may have discontinuous payoff functions.For this problem we use the Malliavin property called the ...
Functional Itˆo calculus is based on an extension of the classical Itˆo calculus to functionals depending
on the entire past evolution of the underlying paths and not only on its current value. The
calculus builds on ...
Vovk and Shafer, [41], introduced game-theoretic framework for probability in
mathematical finance. This is a new trend in financial mathematics in which no
probabilistic assumptions on the space of price paths are made. ...