We introduce and study no-good-deal valuation bounds defined in terms of expected utility. A utility-based good deal is a payoff whose expected utility is toohigh in comparison to the utility of its price. Forbidding good deals induces, viaduality, restrictions on pricing kernels and thereby...

We study the exponential utility indifference valuation of a contingent claim B in an incomplete market driven by two Brownian motions. The claim depends on a nontradable asset stochastically correlated with the traded asset available for hedging. We use martingale arguments to provide upper and...

We construct risk-minimizing hedging strategies in the case where there are restrictions on the available information. the underlying price process is a "d"-dimensional F-martingale, and strategies &phis;= (ϑ, η) are constrained to have η G-predictable and η G'-adapted for filtrations η G C G'C...

This paper studies a class of diffusion models for stock prices derived by a microeconomic approach. We consider discrete-time processes resulting from a market equilibrium and then apply an invariance principle to obtain a continuous-time model. the resulting process is an Ornstein-Uhlenbeck...

We consider a very general diffusion model for asset prices which allows the description of stochastic and past-dependent volatilities. Since this model typically yields an incomplete market, we show that for the purpose of pricing options, a small investor should use the minimal equivalent...