\mathbb{E}_{\mathbb{Q}^{\lambda }}\left[ \int\limits_{\left[ 0,T\right] }\tfrac{\left( 0-\lambda \right) \widetilde{D}_{s}}{\left( \lambda D_{s}+\left( 0-\lambda \right) \widetilde{D}_{s}\right) }h\left( h_{0}\left( \widetilde{\theta }_{0}\left( s\right) \right) +\int\limits_{\mathbb{R}_{0}}\delta \left( s,x\right) h_{0}(\widetilde{\theta }_{0}\left( s,x\right) )\nu \left( dx\right) \right) 