Convex order approximations in the case of cash flows of mixed signs

► Correction and clarification of reasoning of Van Weert et al. (2010). ► The terminal wealth or the initial provision problem with cash flows of mixed signs. ► Derivation of the convex order lower bound approximation. ► Compute probability levels for which quantiles of the approximation can be obtained. ► Inversion of time axis transforms the provisioning problem into the terminal wealth problem.