39 Pages Posted: 30 Jul 2010 Last revised: 18 Apr 2013
Date Written: April 17, 2013
In this paper, we give an explicit representation of the lowest cost strategy (or "cost-efficient" strategy) to achieve a given payoff distribution. For any inefficient strategy, we are able to construct financial derivatives which dominate in the sense of first-order or second-order stochastic dominance. We highlight the connections between cost-efficiency and dependence (copulas). This allows us to extend the theory to deal with state-dependent constraints to better reflect real world preferences. We show in particular that path-dependent strategies (although inefficient in the Black Scholes setting) may become optimal in the presence of state-dependent constraints.
Keywords: Law-invariant increasing preferences, Stochastic Dominance, Expected Utility, State-dependent preferences, Copulas
JEL Classification: D81, D91, G11, G12, G13
Suggested Citation: Suggested Citation
Bernard, Carole and Boyle, Phelim P. and Vanduffel, Steven, Explicit Representation of Cost-Efficient Strategies (April 17, 2013). Available at SSRN: https://ssrn.com/abstract=1561272 or http://dx.doi.org/10.2139/ssrn.1561272