A network performance measure for the evaluation of financial networks with intermediation is proposed. The measure captures risk, transaction cost, price, transaction flow, revenue, and demand information in the context of the decisionmakersâ behavior in multitiered financial networks that also allow for electronic transactions. The measure is then utilized to define the importance of a financial network component, that is, a node or a link, or a combination of nodes and links. Numerical examples are provided in which the performance measure of the financial network is computed along with the importance ranking of the nodes and links. The results can be used to assess which nodes and links in financial networks are the most vulnerable in the sense that their removal will impact the performance of the network in the most significant way. Hence, the results have relevance to national security as well as implications for the insurance industry.