The problem of risk measures in a discrete-time market model with transaction costs is studied. Strategy effectiveness and shortfall risk are introduced. This gives a generalization of quantile hedging presented in [4].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am30-2-4, author = {Micha\l\ Baran}, title = {Quantile hedging on markets with proportional transaction costs}, journal = {Applicationes Mathematicae}, volume = {30}, year = {2003}, pages = {193-208}, zbl = {1035.60039}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am30-2-4} }
Michał Baran. Quantile hedging on markets with proportional transaction costs. Applicationes Mathematicae, Tome 30 (2003) pp. 193-208. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am30-2-4/