On the Computational Complexity of Measuring Global Stability of Banking Networks

Threats on the stability of a financial system may severely affect the functioning of the entire economy, and thus considerable emphasis is placed on the analyzing the cause and effect of such threats. The financial crisis in the current and past decade has shown that one important cause of instability in global markets is the so-called financial contagion, namely the spreading of instabilities or failures of individual components of the network to other, perhaps healthier, components. This leads to a natural question of whether the regulatory authorities could have predicted and perhaps mitigated the current economic crisis by effective computations of some stability measure of the banking networks. Motivated by such observations, we consider the problem of defining and evaluating stabilities of both homogeneous and heterogeneous banking networks against propagation of synchronous idiosyncratic shocks given to a subset of banks. We formalize the homogeneous banking network model of Nier et al. and its corresponding heterogeneous version, formalize the synchronous shock propagation procedures, define two appropriate stability measures and investigate the computational complexities of evaluating these measures for various network topologies and parameters of interest. Our results and proofs also shed some light on the properties of topologies and parameters of the network that may lead to higher or lower stabilities.Comment: to appear in Algorithmic

THE ROLE OF FINANCIAL RELATIONSHIPS IN THE HISTORY OF AMERICAN CORPORATE FINANCE

The American corporate financing system, unlike that of most other countries, has not been organized around a set of "universal banks" that perform a variety of functions for their clients. Indeed, the distinguishing feature of American financial history is the number and variety of financial intermediaries, and their relationships with corporations (and one another). Besides commercial banks, there are investment banks, insurance companies, venture capitalists, commercial paper dealers, mutual funds, and many others. The economic role of such intermediaries is to reduce market frictions such as "asymmetric information" and "agency problems" that otherwise raise the cost of outside capital for U.S. companies. 1996 Morgan Stanley.

Financial stability: theory and applications

he article defines the framework to assess the financial stability as currently practised by central banks and international organizations. The author criticizes the comparison of the current methodology to the practices of central banks three or four decades ago. The article provides a brief introduction of original research defining the framework for financial stability assessment