We consider backward stochastic dierential equations (BSDEs) witha particular quadratic generator and study the behaviour of their solu-tions when the probability measure is changed, the ltration is shrunk,or the underlying probability space is transformed.[...]

We study the exponential utility indifference valuation of a contingentclaim H when asset prices are given by a general semimartingale S. Under mildassumptions on H and S, we prove that a no-arbitrage type condition is fulfilled ifand only if H has a certain representation. In this case, the...

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...

This paper studies modelling and existence issues for market models of option prices in a continuous-time framework with one stock, one bond and a family of European call options for one fixed maturity and all strikes. After arguing that (classical) implied volatilities are ill-suited for...

Three years after the seminal work of Black and Scholes [3] on the pricing of European options,Scholes [18] presented a paper in which the impact of taxation on the value of an option is analyzed.We restart this discussion in a simple binomial setting emphasizing the economic principlesof...

The binomial model has been used to price a wide variety of equity and interest rateoptions for more than two decades. Originally developed by Cox, Ross, and Rubinsteinto clarify the basic pricing principle of its continuous-time counterpart with reduced mathematicalrequirements, the approach...

In the past decades several versions of the binomial model for option pricing, originallyintroduced by COX, ROSS, AND RUBINSTEIN, have been discussed in the financeliterature. Some of these approaches model an arbitrage-free market in the discrete setupwhereas others attain this property only in...

This paper studies modelling and existence issues for market models of stochastic implied volatility in a continuous-time framework with one stock, one bank account and a family of European options for all maturities with a fixed payoff function h. We first characterize absence of arbitrage in...

We study the dynamic utility indifference value process p(X) when the usefulness of X is evaluated via a dynamic monetary concave utility functional (DMCUF) instead of von Neumann/Morgenstern expected utility. A DMCUF is minus a dynamic convex risk measure. The key tools for our investigations...

Market participants use leveraged derivatives to gain access to equity market exposure through broker banks. Leverage and interconnectedness via overlapping portfolios of dealer banks can amplify adverse market movements, potentially causing sizeable losses. I propose a model, based on granular...