Pareto optimal allocations and optimal risk sharing for coherent or convex risk measures as well as for insurance prices have been studied widely in the literature. In particular, Pareto optimal allocations have been characterized by applying inf-convolution of risk measures and convex...

Multiple delivery specifications exist on nearly all commodity futures contracts. Sellers are typically allowed to choose among several grades of the underlying commodity. On the delivery day, the futures price converges to the spot price of the cheapest-to-deliver grade rather than to that of...

An investor faced with a contingent claim may eliminate risk by (super-)hedging in a financial market. As this is often quite expensive, we study partial hedges, which require less capital and reduce the risk. In a previous paper we determined quantile hedges which succeed with maximal...

This paper derives continuous-time conditions for a manager compensated with a call option to increase risk-taking. We show that the principles proposed by Ross (2004) in a one-period environment remain valid in continuous time

We derive the total variance risk premium for an index in the stochastic environment of Driessen, Maenhout and Vilkov (2009) and correct the previous authors omission of certain components which contribute significantly to index option expected returns. This study provides a mathematically...

The paper proposes a new approach to model risk measurement based on the Wasserstein distance between two probability measures. It formulates the theoretical motivation resulting from the interpretation of fictitious adversary of robust risk management. The proposed approach accounts for all...

This paper proposes a risk measure, based on first-passage probability, which reflects intra-horizon risk in jump models with finite or infinite jump activity. Our empirical investigation shows, first, that the proposed risk measure consistently exceeds the benchmark Value-at-Risk (VaR). Second,...

While a routinely rebalanced portfolio such as a 60-40 equity-bond mix is commonly employed by many investors, most do not understand that the rebalancing strategy adds risk. Rebalancing is similar to starting with a buy and hold portfolio and adding a short straddle (selling both a call and a...

Measures of model risk based on the residual error from hedging in a misspecified model were recently proposed in (Detering and Packham, 2013). These measures rely on the assumption that the model used for hedging represents a complete financial market. We show that under certain conditions, in...