Economy – Quantitative Finance – Pricing of Securities
Scientific paper
2011-07-28
Economy
Quantitative Finance
Pricing of Securities
37 pages, 8 figures
Scientific paper
We study the explicit calculation of the set of superhedging portfolios of contingent claims in a discrete-time market model for d assets with proportional transaction costs when the underlying probability space is finite. The set of superhedging portfolios can be obtained by a recursive construction involving set operations, going backward in the event tree. We reformulate the problem as a sequence of linear vector optimization problems and solve it by adapting known algorithms. A corresponding superhedging strategy can be obtained going forward in the tree. We discuss the selection of a trading strategy from the set of all superhedging trading strategies. Examples are given involving multiple correlated assets and basket options. Furthermore, we relate existing algorithms for the calculation of the scalar superhedging price to the set-valued algorithm by a recent duality theory for vector optimization problems.
Löhne Andreas
Rudloff Birgit
No associations
LandOfFree
An algorithm for calculating the set of superhedging portfolios and strategies in markets with transaction costs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An algorithm for calculating the set of superhedging portfolios and strategies in markets with transaction costs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An algorithm for calculating the set of superhedging portfolios and strategies in markets with transaction costs will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-414282