In this paper we consider the range of prices consistent with no arbitrage for European options in a general stochastic volatility model. We give conditions under which infimum respectively the supremum of the possible option prices are equal to the intrinsic value of the option or to the...

In this paper we consider the range of prices consistent with no arbitrage for European options in a general stochastic volatility model. We give conditions under which the infimum and the supremum of the possible option prices are equal to the intrinsic value of the option and to the current...

Standard derivative pricing theory is based on the assumption of the market for the underlying asset being infinitely elastic. We relax this hypothesis and study if and how a large agent whose trades move prices can replicate the payoff of a derivative contract. Our analysis extends a prior work...

The paper deals with the valuation and hedging of non path- dependent European options on one or several underlyings in a model of an international economy which allows for both interest rate and exchange rate risk. The contingent claims may pay off in arbitrary currencies. Using martingale...

We study risk-minimizing hedging-strategies for derivatives in a model where the asset price follows a marked point process with stochastic jump-intensity, which depends on some unobservable state-variable process. This model reflects stylized facts that are typical for high frequency data. We...

In the paper we analyse in what way the implementation of dynamic hedging strategies affects the volatility of the underlying asset. To this end we first construct an economy where equilibrium prices are given by the classical Black- Scholes model of geometric Brownian Motion. Then we add...