Bounded solutions to backward SDE's with jumps for utility optimization and indifference hedging

• 成果类型: Article
• 署名作者: Becherer, Dirk
• 署名单位: Imperial College London
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/105051606000000475
• 发表日期: 2006
• 页码: 2027-2054
• 关键词: Maximization; valuation; systems

摘要

We prove results on bounded solutions to backward stochastic equations driven by random measures. Those bounded BSDE solutions are then applied to solve different stochastic optimization problems with exponential utility in models where the underlying filtration is noncontinuous. This includes results on portfolio optimization under an additional liability and on dynamic utility indifference valuation and partial hedging in incomplete financial markets which are exposed to risk from unpredictable events. In particular, we characterize the limiting behavior of the utility indifference hedging strategy and of the indifference value process for vanishing risk aversion.