Mean-variance hedging via stochastic control and BSDEs for general   semimartingales
  We solve the problem of mean-variance hedging for general semimartingale models via stochastic control methods. After proving that the value process of the associated stochastic control problem has a quadratic structure, we characterize its three coefficient processes as solutions of semimartingale backward stochastic differential equations and show how they can be used to describe the optimal trading strategy for each conditional mean-variance hedging problem. For comparison with the existing literature, we provide alternative equivalent versions of the BSDEs and present a number of simple examples. 
Monique Jeanblanc, Michael Mania, Marina Santacroce, Martin Schweizer
math.PR