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Finance & Development, September 2012
Article

Caught in the Web: Network analysis looks at financial connections in a globalized world and the risks they pose

Author(s):
International Monetary Fund. External Relations Dept.
Published Date:
November 2012
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Camelia Minoiu

Andrew Haldane, Executive Director for Financial Stability of the Bank of England, once compared the collapse of the investment banking firm Lehman Brothers in late 2008 to a virus outbreak. Fear that Lehman’s demise would spread caused widespread panic that led to a freeze in borrowing and lending in a number of financial markets—much like the fear of a virus might lead people to avoid contact with one another. The effects of Lehman’s fall were difficult to isolate. In fact, the reach and macroeconomic costs associated with Lehman’s demise were much larger than one could have anticipated based on the size of the initial event alone (Haldane, 2009).

It is not clear what enables relatively small shocks, such as Lehman’s demise, to reverberate through the larger economy and why such shocks are often difficult to isolate. The answer seems to lie with the complexity of the financial connections among agents, institutions, and countries. When unexpected bad events occur (negative shocks, in economic parlance), uncertainty sets in and disrupts economic activity. The failure of Lehman, which many believe sparked the global financial crisis, suggests that some institutions are so central to the financial system that their failure can be catastrophic. Similarly, some countries are so integrated into the global financial system that a negative shock there can reverberate through the entire global economy.

Commentators coined the term “too interconnected to fail” to identify players (financial institutions and countries) that are so caught in the web that they pose a systemic risk—that is, their failure would threaten the stability of the entire financial system. Several years into the crisis, it has become clear that to safeguard financial stability, it is important to understand how interconnectedness can be defined and measured and how it relates to the concept of systemic risk. A methodology that can help do this is network analysis, which is used in epidemiology to investigate the spread of diseases.

Network analysis looks at the financial system as a set of players connected with one another through financial contracts (see box). For example, the interbank market is a network of banks that lend to each other on a short-term, often overnight, basis. At every point in time, the banks in the network have exposure to each other represented by the total claims or liabilities accumulated through lending and borrowing. There are a number of ways that a bank becomes more important, or central, in the network. It can have borrowing and lending relationships with a large number of banks. It can have claims on other important banks. It can account for an outsized share of the total transactions. It can intermediate flows between many banks that are not directly lending to one other.

There is also a global network of countries that are exposed to each other through capital flows, trade, or migration—or all three.

A first step in assessing financial stability using network analysis is to look for patterns in the relationships among players in the financial system. Javier Reyes and I recently mapped banking relationships across countries since the late 1970s through the lens of a network (Minoiu and Reyes, 2011). We asked the following questions: How can the level of financial interconnectedness be assessed globally? Has that interconnectedness changed over time? Was it unusually high before the recent financial crisis? Are there any striking patterns of interconnectedness that may not be visible by simply looking at total flows?

Building the network

To construct a worldwide web of financial connections, which we call the global banking network, we used a unique data set with information on cross-border financial flows intermediated by banking systems in a large sample of countries during 1978–2010. The data set, compiled by the Bank for International Settlements (BIS), is called the BIS locational banking statistics. Financial institutions that report data to the BIS generally include licensed banks and, depending upon the country, large securities firms and offshore banks. They report information on such financial instruments as loans, deposits, and debt securities. The data are compiled on the basis of residence of BIS reporting banks, which makes them well suited for analyzing geographical patterns in financial linkages.

We performed the network analysis on two sets of countries: the core of the network, 15 advanced economies that have reported data to the BIS over a long period of time; and the periphery, 169 countries at various levels of development. The periphery countries in our sample either reported data only in recent years or do not report at all. We restrict the core to the 15 economies that have reported data to the BIS continuously since 1978 so as not to confound changes in the network with changes in the sample of reporting countries.

What is network analysis?

The building blocks of a network are nodes (representing agents, financial intermediaries, countries, etc.) and the links (or edges) between them (representing relationships between nodes, for instance, ownership, exposures, or flows). Relationships may be represented in binary form, such that they exist (value 1) if there is a flow or exposure between nodes and do not exist if there is no link (value 0). They can also be represented in weighted form, which would measure the size of the relationship—such as the magnitude of flows between nodes. Network analysis is a set of methods that describes the position of the nodes in the network and assesses the structure of the network as a whole.

Network analysis has been used in fields such as epidemiology and sociology. In recent years, interest in the role played by interconnectedness during the recent crisis spurred research into network applications to economics and finance.

We constructed two networks. The core-core network captures flows among the 15 advanced economies and resembles Chart 1. The core-periphery network captures flows from the 15 advanced economies to the rest of the world (the flows from the rest of the world to the core are not reported). The global banking network is obtained by superimposing the core-core and core-periphery networks. The relationships (links) between countries represent positive financial flows intermediated by banking systems, in other words, net investments.

Chart 1In the center

Financial flows are extensive among the 15 advanced economies at the core of the global banking network.

Source: Minoiu and Reyes (2011).

Note: The lines represent bank-intermediated flows between individual countries in 2007. The thin lines represent flows between $1 billion and $5 billion, the medium lines, flows between $5 and $10 billion, and the thick lines, flows in excess of $10 billion. The countries are AUT = Austria, BEL = Belgium, CAN = Canada, CHE = Switzerland, DNK = Denmark, DEU = Germany, FRA = France, GBR = United Kingdom, IRL = Ireland, ITA = Italy, JPN = Japan, LUX = Luxembourg, NLD = the Netherlands, SWE = Sweden, and USA = United States.

Connected and clustered

We focused on two simple and widely used connectedness indicators that capture the density of relationships in the global banking network and focus on the presence of a relationship between two countries rather than the magnitude of the financial flow between them—connectivity and clustering.

Connectivity measures the density of bilateral relationships, that is, the number of links between countries in the network divided by the total number of possible links. Clustering gauges the density of three-way relationships—in which a country’s lenders are also lending to each other. It is roughly defined as the number of triangles that appear in the network divided by the total number of possible triangles. In the core-core network, a triangle occurs when three core economies are lending to one another; in the core-periphery network, a triangle occurs when a periphery country is borrowing from two core economies that are lending to each other.

We began by looking at total flows. There is a remarkable increase in the magnitude of bank-intermediated flows to the countries in our sample. Comparing the 1978–2002 average with the precrisis peak, we find that financial flows transferred by banks from one core economy to another amounted to a positive net $36 billion per year on average and reached $230 billion just before the recent crisis (see Chart 2). Similarly, banking flows from the core to the periphery were on average $1.5 billion in the early period and rose to $6.4 billion before the recent crisis (see Chart 3).

Chart 2Core flows

Bank-intermediated flows from one core economy to another grew in the runup to the 2008 crisis. But there was no comparable increase in network connectivity and clustering among the advanced economies.

Source: Minoiu and Reyes (2011).

Note: The core economies are Austria, Belgium, Canada, Denmark, France, Germany, Ireland, Italy, Japan, Luxembourg, the Netherlands, Sweden, Switzerland, the United Kingdom, and the United States. Connectivity measures the density of bilateral relationships—that is, the number of links between countries in the network divided by the total number of possible links. Clustering gauges the density of three-way relationships in which a country’s lenders also are lending to each other and is calculated by dividing the number of three-way relationships by the total number of possible three-way relationships.

Chart 3Spreading to the periphery

Before the recession, banking flows from the core economies to the countries in the periphery rose and interconnectedness—connectivity and clustering—rose slightly as well.

Source: Minoiu and Reyes (2011).

Note: The core economies are Austria, Belgium, Canada, Denmark, France, Germany, Ireland, Italy, Japan, Luxembourg, the Netherlands, Sweden, Switzerland, the United Kingdom, and the United States. Connectivity measures the density of bilateral relationships—that is, the number of links between countries in the network divided by the total number of possible links. Clustering gauges the density of three-way relationships in which a country’s lenders also are lending to each other and is calculated by dividing the number of three-way relationships by the total number of possible three-way relationships.

There is not, however, a comparable increase in financial interconnectedness. Like total flows, connectedness rises before financial crises and falls afterward. But connectedness was not unusually high before the recent crisis. In fact, both connectivity and clustering for the core-core network suggest that similar levels of interconnectedness were reached before other financial crises, such as the 1987 stock market crash. The core-periphery network also displays a precrisis increase in connectedness, which likely reflects a secular trend toward higher financial openness in the periphery. Moreover, in either network the increase in the density of relationships among countries before the recent crisis was clearly dwarfed by the unprecedented rise in total flows.

A unique feature of the recent crisis is that in its aftermath, network density fell to the lowest point of the 22-year period. Clustering, the prevalence of trilateral relationships, almost disappeared in both the core-core and core-periphery networks. The crisis appears to have triggered a drop in network density of a magnitude that we had not seen before. But why?

Historically, connectivity and clustering have followed a boom-bust cycle, much like total flows. But this pattern did not hold during the most recent crisis. While network density in 2007 was comparable to the precrisis levels observed earlier, the extent to which it fell in 2008–09 stands out. Although some analysts attributed the severity of the crisis to the level of financial interconnectedness, our findings suggest that the precrisis boom in connectivity can only partially explain the depth of the crisis. We suspect that two additional factors played a role. First, before the crisis, the global banking network was intermediating cross-border flows that were much larger than in previous decades. Second, the initial shock to the financial system was in the core of the global banking network, and within the core the affected participants were themselves highly interconnected. Studies have shown that similar shocks can have different consequences for a financial system depending on the particular point in the network structure where the shock hits (Gai and Kapadia, 2010). The location of the shock, combined with the unusually large cross-border flows of financial instruments, are likely to have been the factors that caused this crisis to be significantly more severe than earlier ones.

A tool for the future

Financial interconnectedness—the pattern of interactions among institutions and countries in the global financial system—is often called the main culprit in the severity of the recent crisis. This is because what was initially thought to be a local shock—the bankruptcy of a highly interconnected financial institution—had consequences well beyond that institution’s and its country’s borders. Had network analysis been in the policymakers’ toolkit, they might better have understood the potential consequences of permitting the failure of a medium-sized financial institution. Network analysis, which looks at agents not in isolation but in concert, provides tools for analyzing interconnections that can be used to assess systemic risk. By looking at agents and the links between them, network analysis can add valuable insights about the financial system as a whole, which is a complicated web of interlinked and interdependent players.

Camelia Minoiu is an Economist in the IMF’s Institute for Capacity Development.

References:

    GaiPrasanna and SujitKapadia2010Contagion in Financial NetworksProceedings of the Royal Society A Vol. 466 No. 2120pp. 24012423.

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    HaldaneAndrew G.2009Rethinking the Financial NetworkSpeech delivered at the Financial Student Association Conference in AmsterdamApril28.

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    MinoiuCamelia and Javier A.Reyes2011A Network Analysis of Global Banking: 1978-2009IMF Working Paper 11/74 (Washington: International Monetary Fund).

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