In an uncertain volatility model where only the stock and the money market account are traded, the upper price bound of a European claim is given by the solution of a Black-Scholes-Barenblatt equation. If an additional hedge instrument is available, the price bound can be tightened. This is also...

This paper provides a theoretical and numerical analysis of robust hedging strategies in a diffusion-type setup including stochastic volatility models. A hedging strategy is called robust if the hedger achieves an overprotection whenever the realised volatility stays within a given interval. We...

We analyze the optimal insurance demand in a dynamic setup with two periods. In addition to the possibility to insure, the investor is allowed to transfer wealth between the two periods, i.e. she can save. While it is difficult to interpret the optimal saving and insurance decisions without...

The paper analyzes the robustness of stable volatility strategies, i.e. strategies in which the portfolio weight of the stock is inversely proportional to its local volatility. These strategies are optimal for a CRRA investor if the stock follows a diffusion process, the expected excess return...

We analyze optimal asset allocation in continuous time for a collective of tied-together investors. We rely on a specific collective utility function which dates back to Karatzas (1990), by which the fund manager maximizes the weighted average of expected individual utilities for the investors...

Relax certificates are written on multiple underlying stocks. Their payoff depends on a barrier condition and is thus path-dependent. As long as none of the underlying assets crosses a lower barrier, the investor receives the payoff of a coupon bond. Otherwise, there is a cash settlement at...

The paper analyzes insurance contracts where the benefits of the insured depend on the performance of an investment strategy and which guarantee a certain interest rate on the contributions made by the insured. The insured has to decide simultaneously on the investment strategy and the guarantee...