Backward Stochastic Differential Equations with Jumps and Their Actuarial and Financial Applications : BSDEs with Jumps (Paperback)

Introduction.- Stochastic Calculus.- Backward Stochastic Differential Equations - the General Case.- Forward-Backward Stochastic Differential Equations.- Numerical Methods for FBSDEs.- Nonlinear Expectations and g-Expectations.- Combined Financial and Insurance Model.- Linear BSDEs and Predictable Representations of Insurance Payment Processes.- Arbitrage-Free Pricing, Perfect Hedging and Superhedging.- Quadratic Pricing and Hedging.- Utility Maximization and Indifference Pricing and Hedging.- Pricing and Hedging under a Least Favorable Measure.- Dynamic Risk Measures.- Other Classes of BSDEs.