Föllmer and Sondermann (1986) proved the existence of a unique admissible risk-minimizing hedging strategy for any square-integrable contingent claim H in the martingale case. We extend this approach to the situation where the hedger's liabilities are described by a general payment process A...

We consider a dynamic reinsurance market, where the traded risk process is driven by a compound Poisson process and where claim amounts are unbounded. These markets are known to be incomplete, and there are typically infinitely many martingale measures. In this case, no-arbitrage pricing theory...