Before revision:  This enables us to obtain the main result of this article which from the perspective of a utility optimization interpretation of the underlying control problem on a financial market takes the following form. The control  process of the BSDE steers the system into a random liabilitydepending on a market external uncertainty and this way describes the optimal derivative hedge of the liability by investment in a capital market the dynamics of which is described by the forward component.
After revision:  This enables us to obtain the main result of this article , namely a representation formula for the control process of the BSDE steers the system into a random liabilitydepending on a market external uncertainty and this way describes the optimal derivative hedge of the liability by investment in a capital market the dynamics of which is described by the forward component.