This paper deals with the superhedging of derivatives and with the corresponding price bounds. A static superhedge results in trivial and fully nonparametric price bounds, which can be tightened if there exists a cheaper superhedge in the class of dynamic trading strategies. We focus on European...

This paper deals with the superhedging of derivatives on incomplete markets, i.e. with portfolio strategies which generate payoffs at least as high as that of a given contingent claim. The simplest solution to this problem is in many cases a static superhedge, i.e. a buy-and-hold strategy...

This paper deals with the problem of quadratic hedging with limited initial capital. We show (i) that the optimal amount of capital for the quadratic hedge of a portfolio of contingent claims is equal to the sum of optimal investments for the individual hedges of its components and (ii) that the...

In this paper we consider the question which path-independent claims are attainable through self-financing trading strategies in an incomplete market. We show for continuous-time stochastic volatility models and for models exhibiting both stochastic volatility and jumps that from this special...

We model the interactions between the trading activities of a large investor, the stock price and the market liquidity. Our framework generalizes the model of Frey (2000), where liquidity is constant by introducing a stochastic liquidity factor. This innovation has two implications. First, we...

This paper deals with the pricing of di%0Berent types of power options which are of practical relevance. First of all, a general valuation technique is developed that can be applied to several non-negative payo%0Bs being a function of the terminal stock price only. The key trick in the...