This paper analyzes empirical market utility functions and pricing kernelsderived from the DAX and DAX option data for three market regimes. Aconsistent parametric framework of stochastic volatility is used. All empiricalmarket utility functions show a region of risk proclivity that is...

The Black-Scholes formula, one of the major breakthroughs of modern finance,allows for an easy and fast computation of option prices. But some of its assumptions, like constant volatility or log-normal distribution of asset prices,do not find justification in the markets. More complex models,...

We extend the definition of a convex risk measure to a conditionalframework where additional information is available. We characterize these riskmeasures through the associated acceptance sets and prove a representationresult in terms of conditional expectations. As an example we consider the...