2015年11月25日 星期三

3 How a Superportfolio Emerges: Long-Term Capital Management and the Sociology of Arbitrage



DONALD MACKENZIE
Of all the contested boundaries that define the discipline of sociology, none is more crucial than the divide between sociology and economics. Despite his synthesizing ambitions, Talcott Parsons played a critical role in reinforcing this divide. The economy, argued Parsons and Smelser (1956: 7) is a ‘differ­entiated subsystem of a more inclusive social system’. Conventional neoclas­sical economics could, Parsons believed, quite appropriately be applied to that subsystem. The technical core, so to speak, of the workings of market economies was the business of economists, not of sociologists.
In more recent years, a revived economic sociology has rebelled against this intellectual division of labor, which Stark (2000) calls ‘Parsons’ Pact’. A range of authors—amongst them White, Granovetter, Fligstein, Podolny, and Callon—have proposed a variety of ways of conceptualizing social processes not as ‘surrounding’ economic life but as being at its core (White 1981, 2001; Granovetter 1985, 1990; Podolny 1993, 2001; Fligstein 1996, 2001; Callon 1998). This chapter seeks to contribute to this post-Parsonian economic soci­ology not by proposing a new approach but a new (or almost new) topic for sociological investigation: arbitrage.
Arbitrage is trading that exploits price discrepancies, for example differ­ences between the prices of the same asset at different geographical locations, or between the prices of similar assets at the one location. There is a sense in which arbitrageurs are the border guards, in economic practice, of the Parsonian boundary between economics and sociology. Suppose that the prices of two similar financial assets temporarily diverge for reasons that
This chapter is a revised version of a paper (MacKenzie 2003) published in Economy and Society. The case study of LTCM was supported financially by DIRC, the Interdisciplinary Research Collaboration on the Dependability of Computer-Based Systems (UK Engineering and Physical Sciences Research Council grant GR/N13999), and my ongoing research in social studies of finance is being supported by a professorial fellowship from the United Kingdom Economic and Social Research Council (RES-051-27-0062).

are ‘sociological’ rather than ‘economic’: investors’ irrational preferences, enthusiasms, or fears; legal constraints (often ultimately moral in their roots: see Zelizer 1979) on market participants such as insurance companies; regu­latory impositions (perhaps driven by political ideologies); and so on. Arbitrageurs can then profit by buying the cheaper of the assets, and short selling the dearer (financial terminology such as ‘short selling’ is defined in the glossary in Table 3.1). Their purchases tend to raise the price of the
Table 3.1. Financial Terminology



Arbitrage Basis point Future
Haircut
Implied volatility
Libor (London interbank offered rate)
Option
Short selling
Swap
Swap spread
Value-at-risk
Volatility
Yield
Trading that seeks to profit from price discrepancies A hundredth of a percentage point A standardized contract traded on an organized exchange in which one party undertakes to buy, and the other to sell, a set quantity of a particular asset at a set price on a given future date When money is borrowed to buy securities such as bonds, and these are pledged as collateral for the loan, the haircut is the difference between the amount of money lent and the market price of the securities
The volatility of a stock or index consistent with the price of options on the stock or index The average rate of interest at which banks with the highest credit ratings are prepared to lend each other funds
A contract that gives its purchaser the right, but not the obligation, to buy (call) or to sell (put) an asset at a given price on, or up to, a given future date (the ‘expiration’)
Selling an asset one does not own, for example by borrowing it, selling it, and later repurchasing and returning it
A contract to exchange two income streams The difference between the fixed interest rate at which interest-rate swaps can be entered into and the yield of a government bond of equivalent maturity denominated in the same currency A method of estimating the exposure of a portfolio of assets to potential losses
The extent of the fluctuations of the price of an asset, conventionally measured by the annualized standard deviation of continuously-compounded returns on the asset
The yield of a bond is the rate of return it offers at its current market price

cheaper asset, and their sales to lower that of the dearer, thus helping to restore equality. The consequently plausible assumption that pricing discrep­ancies will be eliminated by arbitrage allows the development of elegant and influential economic models of markets. Arbitrage-based reasoning is, for example, central to the work that has won Nobel Prizes in economics for three of the five finance theorists so far honored: Merton H. Miller, Robert C. Merton, and Myron S. Scholes.
Arbitrage is thus seen by economists as making it possible for financial markets to be efficient even in the presence of investor irrationality and other social or psychological ‘factors’:
Neoclassical finance is a theory of sharks [i.e. arbitrageurs] and not a theory of rational homo economicus... [Arbitrageurs spot [price discrepancies], pile on, and by their actions they close aberrant price differentials... Rational finance has stripped the assumptions [about the behaviour of investors] down to only those required to support efficient markets and the absence of arbitrage, and has worked very hard to rid the field of its sensitivity to the psychological vagaries of investors (Ross 2001: 4).
Furthermore, finance theory is itself drawn on by modern arbitrageurs, so arbitrage is a key issue for the ‘performativity’ of economics: the thesis that economics creates the phenomena it describes, rather than describing an already existing ‘economy’ (Callon 1998).1 To the extent that arbitrageurs can eliminate the price discrepancies that finance theory helps them to identify, they thereby render the theory performative: price patterns in the markets become as described by the theory.
Despite the centrality of arbitrage, there has been little empirical study of it by economists and, for all the flowering in recent years of the sociology of the financial markets, almost none by sociologists. The only extant sociological study focusing directly on arbitrage is by Beunza and Stark (see Chapter 4, this volume), which is primarily descriptive: it does not, for example, investi­gate the capacity of arbitrage to eliminate price discrepancies and thus main­tain the boundary between ‘the social’ and ‘the economic’. That investigation, in contrast, is the goal of this chapter. It focuses on the hedge fund, Long­Term Capital Management (LTCM).2 LTCM was highly skilled: it emerged from the celebrated arbitrage group at the investment bank Salomon Brothers, a group headed by John Meriwether, by common consent the most talented bond trader of his generation. LTCM, set up and led by Meriwether, had available to it the best of finance theory: amongst its partners were the Nobel laureates Merton and Scholes. It was hugely successful: at its peak, it deployed what is almost certainly the largest single concentration of arbitrage positions ever. And yet, in August and September 1998, in one of the defining moments of the economic history of the 1990s, adverse price movements drove LTCM to the brink of bankruptcy (it was recapitalized by a consortium of the world’s leading banks, coordinated by the Federal Reserve Bank of New York).
The crisis of LTCM has provoked widespread comment—for example, books by Dunbar (2000) and Lowenstein (2000)—and even features in a novel (Jennings 2002). Typically, popular commentary advances two accounts:
1.   The partners in LTCM were guilty of greed and gambling (consciously reckless risk-taking).
2.    The partners in LTCM had blind faith in the accuracy of finance theory’s mathematical models.
More informed discussion (e.g. President’s Working Group on Financial Markets 1999) avoids blaming individuals’ alleged character flaws, and instead advances a third hypothesis:
3.    LTCM was over-levered—too high a proportion of its positions were financed by borrowing, rather than by LTCM’s own capital.
This third hypothesis, however, explains at most LTCM’s vulnerability to the events of August and September 1998: it does not explain those events. The most common explanation of them is:
4.    On August 17, 1998, Russia defaulted on its ruble-denominated bonds and devalued the ruble. This triggered a ‘flight-to-quality’ in the financial markets—a sudden greatly increased preference for financial assets that were safer (less prone to default) and more liquid (more readily bought and sold).
That there was a flight-to-quality in August and September 1998, and that the Russian default triggered it, cannot be denied. The hypothesis of this chapter, however, is that superimposed on the flight-to-quality, and some­times cutting against it, was a process of a different, more directly sociologi­cal kind:
5.    The success of LTCM led to widespread imitation (White 1981, 2001; Fligstein 1996, 2001), and the imitation led to a ‘superportfolio’ of partially overlapping arbitrage positions. Sales by some holders of the superportfolio moved prices against others, leading to a cascade of self-reinforcing adverse price movements.
This chapter draws upon sources of information of four kinds. First is a set of ‘oral history’ interviews conducted by the author with partners in and employees of LTCM. These initial interviews were then followed up by fur­ther exchanges in person, by electronic mail, and by telephone. The second source of information is interviews conducted with other key individuals, not affiliated with LTCM, who were also active in the markets within which LTCM operated. These interviews give additional insight into the market processes surrounding LTCM, and make it possible to check for any ‘exculp­atory’ bias in the views of LTCM insiders. These first two sources then permit reliable published sources on LTCM to be distinguished from unreliable ones (the only consistently reliable, detailed source is Perold 1999), and these form the third source of data drawn on here. The fourth source is the price movements of key parts of LTCM’s portfolio in the months of its crisis, August and September 1998: readers interested in how these movements serve as a quantitative test of this chapter’s hypothesis should consult MacKenzie (2003: 367-70).
An economist might object that a study of LTCM is not really a study of arbitrage. In finance theory, arbitrage is conceived as involving no risk and demanding no capital (it can be performed entirely with borrowed cash and/or securities). These are, indeed, precisely the assumptions that make arbitrage’s capacity to close price discrepancies unlimited. LTCM’s activities, in contrast, involved risk (even in ‘normal’ times, not just in 1998), and demanded at least modest amounts of capital. The response to this economist’s objection is simple (Shleifer and Vishny 1997): much ‘real-world’ arbitrage involves risk and demands capital. Certainly, there is a spectrum in this respect—there are some arbitrages, typically of evanescent ‘mispricings’, that are very low risk—but LTCM’s activities are reasonably characteristic, in terms of their risks and their capital demands, of a large class of arbitrage trades, including some of great theoretical significance, such as the arbitrage that enforces Black-Scholes-Merton option pricing, the single most influen­tial model in finance theory (MacKenzie and Millo 2003).
This chapter has four parts. After this introduction comes a section describing LTCM’s arbitrage trading and its risk management. Then comes a section on LTCM’s 1998 crisis, which, after briefly discussing the other explanations, draws on the interview data to flesh out the ‘superportfolio’ explanation. In the conclusion, I return to more general issues of the sociology of arbitrage and its bearing upon the relations of ‘economy’ and ‘society’.
LTCM, which began trading in February 1994, was a hedge fund based in Greenwich, Connecticut. It also had an office in London and a branch in Tokyo, and its primary registration was in the Cayman Islands. Its offices were not ostentatious (its Greenwich head office, for example, was a modest, low-rise suburban office block), and in terms of personnel, LTCM was of limited size: by September 1997, 15 partners and around 150 employees. These people, however, managed a considerable body of assets: in August 1997, LTCM’s assets totalled $126 billion, of which $6.7 billion was the fund’s own capital. While most hedge funds cater for rich individuals, they were the source of less than 4% of LTCM’s capital, which came mostly from financial institutions, particularly banks (Perold 1999: A2, A22).
LTCM’s basic strategy was ‘convergence’ and ‘relative-value’ arbitrage: the exploitation of price differences that either must be temporary or that have a high probability of being temporary. Typical were its many trades involving swaps: by the time of LTCM’s crisis, its swap book consisted of some 10,000 swaps with a total notional value of $1.25 trillion (Anon 2000). A swap is a con­tract to exchange two income streams, for example fixed-rate and floating-rate interest on the same notional sum. The swap spread is the difference between the fixed interest rate at which swaps can be entered into and the yield of a govern­ment bond with a similar maturity denominated in the same currency. Swap spreads can indicate arbitrage opportunities because the party to a swap which is paying a floating rate of interest while receiving a fixed rate is in the same situ­ation as someone who has borrowed money at a floating rate and used it to buy a bond which pays a fixed amount of interest. If there is sufficient discrepancy between the terms on which swap contracts can be entered into and on which positions in bonds in the same currency and of similar maturities can be financed, arbitrage may be possible.
Several features of swap-spread arbitrage go to the heart of LTCM’s strat­egy. First is leverage. LTCM swap-spread trades were highly levered: that is, were constructed largely with borrowed capital. High levels of leverage were necessary if the small price discrepancies LTCM was exploiting were to yield adequate profits, and did not necessarily imply huge risk (as much subse­quent commentary suggested). The risks of swap-spread trades, for example, are rather limited. Bond prices and the terms upon which swaps are offered fluctuate considerably, particularly as interest rates vary. LTCM, however, almost always neutralized that latter risk by constructing ‘two-legged’ trades, in which the effects on one leg of a change in interest rates would be cancelled out by its equal-but-opposite effect on the other leg. The chief market risk of swap-spread trading is of the spread temporarily moving in an unfavorable direction, but if that were to happen the arbitrageur can simply continue to hold the position and wait until such time as it became profitable to liquidate it. Indeed, if necessary the position can be held until the bond matures and the swap expires. That feature was the essence of convergence arbitrage: if held to maturity, a convergence arbitrage position has to make a profit, whatever the market fluctuations along the way.
If the risks were limited, the profits from LTCM’s swap-spread and similar arbitrage trading were impressive. Between February and December 1994 LTCM’s returns before fees were 28.1% (unannualized); after management and incentive fees were deducted, investors received 19.9% (unannualized). Gross returns in 1995 were 59.0%, and returns after fees 42.8%; in 1996, the corresponding figures were 61.5% and 40.8%.3
Although LTCM was active in the US and Japanese markets, it also had particularly heavy involvement in European markets. In the 1990s, financial deregulation in Europe proceeded apace, but arbitrageurs such as LTCM ini­tially found much less competition than in the United States or Japan: ‘the Japanese banks...were the ones who were terribly interested in setting up proprietary desks. The European banks were still a bit hesitant’ (Kaplanis interview). LTCM scrutinized the ‘yield curves’ for European government bonds (see Figure 3.1), along with the corresponding swap curves, looking for the ‘bulges’ and other anomalies that might indicate arbitrage opportunities. If LTCM was confident it understood the reasons for anomalies—frequently
Years to maturity
Figure 3.1. A Hypothetical Example of a Yield Curve (highly schematic). Yield curves usually (but not always) have the upward slope shown here


they were matters such as regulatory requirements on insurance companies to purchase bonds of particular maturities—it would seek to exploit them by trades carefully constructed to neutralize the risks of interest-rate fluctua­tions or of changes in the overall steepness of the yield curve.
As well as diversifying geographically, LTCM also diversified from bonds and interest-rate swaps into other asset classes. Some relative-value trades involved pairs of shares, such as Royal Dutch and Shell Transport (Perold 1999: A9). Shares of Royal Dutch are traded in Amsterdam and the corres­ponding American Depository Receipts trade in New York, while shares of Shell trade in London, but the two sets of shares represent equivalent rights of ownership of what is essentially a single company (Royal Dutch/Shell) and thus equivalent claims on a single income stream. However, they often trade at different prices, for example, because the way dividends are taxed leads investors to prefer one or the other. in a situation like this, arbitrage can be attractive if the difference between the prices of the two sets of shares is expected to narrow, to widen, or to change direction. LTCM could profit from an expected change in relative value while being protected from fluctu­ations either in the overall stock-market or in the performance of Royal Dutch/Shell.
Another equity-related position, taken on in 1997, responded to an anom­aly developing in the market for equity index options with long expirations (see Table 3.1 for the meaning of ‘option’). Increasingly, banks and other financial companies were selling investors products with returns linked to gains in equity indices but also a guaranteed ‘floor’ to losses. Long-maturity options were attractive to the vendors of such products as a means of hedg­ing their risk, but such options were in short supply. The price of an option is dependent upon predictions of the volatility of the underlying asset, and market expectations of that volatility (implied volatility) can be deduced from option prices using option pricing theory. In 1997, however, the demand for long-expiry options had pushed the volatilities implied by their prices to levels that seemed to bear little relation to the volatilities of the underlying indices. Five-year options on the S&P 500 index, for example, were selling at implied volatilities of 22% per annum and higher, when the volatility of the index itself had for several years fluctuated between 10% and 13%, and the implied volatilities of shorter-term options were also much less than 20% per annum. LTCM therefore sold large quantities of five-year index options, while hedging the risks involved with index futures and sometimes short- expiry options (Perold 1999: A7, A8).
Not all LTCM’s trades were successful: ‘We lost a lot of money in France in the front end [of the bond yield curve]’, says LTCM’s Eric Rosenfeld (interview). Nevertheless, as noted above, extremely attractive overall returns were earned, and the volatility of those returns was reassuringly low. Most of LTCM’s positions were almost completely insulated from broad market movements. The firm had only limited involvement in areas where the chance of default was high, such as in high-yield (junk) corporate bonds or ‘emerg­ing markets’, such as Russia, Thailand, and Argentina. Risks were carefully calculated and controlled using the ‘value-at-risk’ approach standard in the world’s leading banks (Meriwether interview). In the case of the dollar swap spread, for example, historical statistics and judgements of likely future values led LTCM to estimate that the spread had an ‘equilibrium value’ of around 30 basis points, with a standard deviation of about 15 basis points per annum (Rosenfeld interview). Using those estimates, it was then possible to work out the relationship between the magnitude of possible losses and their probabilities, and thus the ‘value-at-risk’ in the trade.
When a firm holds a large number of positions, the estimation of the prob­abilities of loss in individual positions is less critical to overall value-at-risk than estimates of correlation between positions. If correlations are low, a large loss in one position is unlikely to be accompanied by large losses in others, so aggregate value-at-risk levels will be modest. In contrast, if correla­tions are high, then when one position goes bad, it is likely that other posi­tions will also do so, and overall value-at-risk will be high. LTCM’s positions were geographically dispersed, and in instruments of very different kinds. At the level of economic fundamentals, little if anything connected positions such as on the spread between US government bonds and mortgage- backed securities, on the difference between the prices of the shares of pairs of companies such as Royal Dutch and of Shell, on the bulges in the yen yield curve, on the chances of specific mergers failing, and so on. LTCM was aware that its own and other arbitrageurs’ involvement in these diverse positions would induce some correlation, but nevertheless the observed correlations, based on five years of data, were very small: typically of the order of 0.1 or lower.
The standard deviations and correlations that went into LTCM’s aggregate risk model were, however, not simply the empirically observed figures but deliberately conservative estimates of their future values. The observed standard deviation of the US dollar swap spread, for example, was around 12 basis points a year, while, as noted above, the risk model assumed it would be 15 (Rosenfeld interview). Past correlation levels, likewise, were ‘upped’ (Meriwether interview) to provide a safety factor: despite observed correla­tions being 0.1 or less, LTCM was ‘running analyses at correlations at around 0.3’. The consequence of this conservatism was that while the firm’s risk model suggested that the annual volatility (standard deviation) of its net asset value would be 14.5%, in actuality it was only 11% (Meriwether interview). Both figures were considerably less than the risk level of 20% that investors had been told to expect (Perold 1999: A11).
Of course, such statistical analyses of risk assumed the absence of cata­strophic events in the financial markets. LTCM’s key members were well aware of the possibility of such events. So LTCM also ‘stress tested’ its port­folio, investigating the consequences of hypothetical events too extreme to be captured by statistical value-at-risk models, events such as a huge stock mar­ket crash or failure of European economic and monetary union (EMU). As well as investigating the consequences of such events for market prices and for LTCM’s risk capital, it also calculated—and set aside—the funds neces­sary to cope with a sudden increase in ‘haircuts’ (see Table 3.1) in a situation of stress. When an event could have particularly catastrophic consequences, LTCM either turned to insurance—it bought insurance against bond default by the government of Italy—or balanced its portfolio to minimize consequences, as in the case of EMU failure.
The partners in LTCM, therefore, believed themselves to be running the fund conservatively, and in the modest volatility of its returns they had evidence for the correctness of this belief. After the fund’s crisis, it was commonly por­trayed as wildly risk-taking, but I have found almost no one inside or outside LTCM who can be proved to have expressed that view prior to the crisis. Gambling—consciously reckless risk-taking—does not explain LTCM’s 1998 disaster. Nor does the second hypothesis advanced in the commentary: blind faith in mathematical models. Models were much less critical to LTCM’s trading than commonly thought. Many of the pricing anomalies it sought to exploit could be identified without sophisticated modeling, and although models were important in how its trades were implemented and in assessing the risks involved, all those involved knew that models were approximations to reality and a guide to strategy rather than a determinant of it. LTCM’s traders had often themselves developed the models they used: no one was more aware than they of the models’ likely deficiencies. The way in which the standard deviations and correlations in the most important model of all— LTCM’s overall risk model—were increased by explicitly judgement-based ‘safety factors’ is indicative of that.
The third posited explanation of LTCM’s crisis—over-leverage—is almost tautologically correct. If LTCM had been operating without leverage, or at lower levels of leverage, the events of August and September 1998 would have placed it under much less strain. However, LTCM’s levels of leverage were comparable to those of the leading global investment banks (Perold 1999: C11, C12; President’s Working Group on Financial Markets 1999: 29) and, in any case, blaming LTCMs crisis on leverage is like attributing a plane crash to the fact that the aircraft was no longer safely in contact with the ground: it identifies the source of overall vulnerability but not the specific cause. That cause was the financial crisis of August and September 1998, and in particu­lar the way in which the adverse price movements of those months exceed LTCM’s, or anyone else’s, expectations. Conventionally, the 1998 crisis is regarded as a ‘flight-to-quality’: an increased relative preference for assets with low risk of default, and/or an increased preference for more liquid assets, in other words those that can more readily be bought and sold at or near prevailing market prices.4 The interviews drawn on here, however, sug­gest a rather different, more directly sociological process. Meriwether’s group at Salomon and at LTCM earned remarkable profits, and were known to have earned those profits. This encouraged others—in other investment banks, and increasingly in other hedge funds—to follow similar arbitrage strategies. Others were being told: ‘LTCM made $2 billion last year. Can’t you?’ (Meriwether interview). For example, LTCM’s success meant that it rapidly became largely closed to new investors, and in January 1998 a new fund, Convergence Asset Management, ‘raised $700 million in a single month purely from disgruntled investors denied a chance to buy into LTCM’ (Dunbar 2000: 197).
LTCM tried hard not to reveal its trading positions. For example, it would avoid using the same counterparty for both legs of an arbitrage trade. However, as one trader and manager not connected to LTCM put it: ‘(t)he arbitrage community...are quite a bright lot, so if they see a trade happening—and the market gets to find out about these trades, even if you’re as secretive as Long-Term Capital Management—they’ll analyze them and realize there’s an opportunity for themselves’ (Wenman interview).
LTCM’s basic strategy—convergence and relative-value arbitrage—had to be disclosed to potential investors and thus could not be hidden, and others seeking to follow that strategy would often be led to take similar positions to LTCM’s. It ‘doesn’t take a rocket scientist’ to discover the kinds of arbitrage opportunities being pursued (Rosenfeld interview), especially when discover­ing one leg of an LTCM trade through being a counterparty to it would greatly narrow the range of possible other legs. Some of LTCM’s trades were well-known to market insiders before LTCM became involved: the Royal Dutch-Shell trade, for example, was the ‘classic European arbitrage trade’ (Wenman interview), and the relationship between Royal Dutch and Shell shares had even been discussed in the academic literature (Rosenthal and Young 1990).
As a result of conscious and unconscious imitation, many of LTCM’s posi­tions became ‘consensus trades’ (Kaplanis interview). Of course, the growing number of arbitrage traders in investment banks and hedge funds did not sit down together in a room to identify good arbitrage opportunities. Rather, ‘the arbitrage philosophy... had been disseminated, well disseminated by August 98; it was there in quite a few hedge funds, it was there in quite a few firms. So Salomon [and LTCM] lost their uniqueness in doing these things. There were many, many others that could do them’. There was some commu­nication: if you talk[ed] to another arb trader in the street they’d say, “Oh yes, I have this as well, I have that as well” ’ (Kaplanis interview). But even had there not been communication, many traders would still have identified the same opportunities. ‘And what happened by September ’98 is that there was a bunch of arb trades that became consensus. People knew that the UK swap spreads was a good trade, people knew that US swap spreads was a good trade’ (Kaplanis interview). No other market participant had the same port­folio as LTCM—many arbitrageurs were restricted to particular portions of the spectrum of arbitrage trades—but, collectively, much of LTCMs portfo­lio of positions was also being held by others.
The initial effect of imitation was probably to LTCM’s benefit. If others are also buying an underpriced asset and short selling an overpriced one, the effect will be to cause prices to converge more rapidly. However, imitation also meant that when existing trades had been liquidated profitably, replacing them was more difficult:
Author: Did you find that, as the years went by with LTCM—’94, ’95, ’96, ’97 and so on—did you find... that the opportunities were drying up a bit?
Rosenfeld: Yes, big.
In the summer of 1998, imitation switched to become a disastrously nega­tive factor because of two decisions, neither of which had anything directly to do with LTCM. In 1997, Salomon Brothers was taken over by the Travelers Corporation, whose famously risk-averse chair, Sandy Weill, was building the world’s largest financial conglomerate, Citigroup (Booth 1998). According to Kaplanis, Salomon’s US arbitrage desk had not been consistently successful since the departure of Meriwether and his group, and in the first half of 1998 it was loss-making. Though Kaplanis, promoted to head of global arbitrage for Salomon, advised against it, the decision was taken to liquidate the US arbitrage desk’s portfolio as quickly as possible, and responsibility for the liquidation was passed to Salomon’s US customer desk. Since the latter was ‘not accountable for the losses generated as a result of the liquidation, the speed of the latter was faster than would otherwise have been the case’. This caused losses not just to Travelers/Citicorp but also to all of those who had similar positions: ‘not only did we lose money as the positions went against us as we were selling them, but all the other funds that also had these con­sensus trades also started losing money’ (Kaplanis interview).
If the liquidation of Salomon’s arbitrage positions was a background fac­tor in the problems of the summer of 1998, the immediate cause of the 1998 crisis was Russia’s August 17 default on its ruble-denominated debt. That Russia was in economic trouble was no surprise: what was shocking was that it (unlike previous debtor governments) should default on debt denominated in domestic currency. ‘I was expecting them [the Russian government] to just print money’ to meet their ruble obligations, says Kaplanis, and he was not alone in this expectation. Initially, the default seemed to be an event of only modest significance for firms, such as LTCM, that had little exposure to Russia or similar ‘emerging markets’: on August 17, the Dow Jones rose nearly 150 points (Lowenstein 2000: 144). In the days that followed, however, it became increasingly clear that the default had triggered what Kaplanis calls an ‘avalanche’. The default was combined with a devaluation of the ruble and a month’s ban on Russian banks complying with forward contracts in foreign exchange (Dunbar 2000: 200-1). Since western investors used these contracts to hedge against the declining value of the ruble, widespread losses were incurred. LTCM’s losses in the Russian market were limited, but other arbi­trageurs carrying losses began liquidating positions elsewhere to meet the demands of their counterparties. A hedge fund called High-Risk Opportunities, which had a large position in ruble-denominated bonds, was forced into bankruptcy, owing large sums to Bankers Trust, Credit Suisse, and the investment bank Lehman Brothers. Rumours began to circulate that Lehman itself faced bankruptcy. For weeks, Lehman ‘went bankrupt every Friday’ according to the rumour mill. Though the bank survived, its stock price suffered badly.
In a situation in which the failure of a major investment bank was conceiv­able, there was indeed a flight-to-quality. Though there are exceptions, conver­gence and relative-value arbitrage typically involves holding the less liquid of a pair of similar assets. In August and September 1998 the prices of illiquid assets fell sharply and those of liquid ones rose, causing losses to convergence and relative-value arbitrageurs. LTCM had known perfectly well that a flight- to-quality could happen and that this would be its consequence. Indeed, it was of the very essence of convergence and relative-value arbitrage that spreads could widen—prices could move against the arbitrageur—before a trade finally converged. For that reason, LTCM had required investors to leave their capital in the fund for a minimum of three years: it was this restriction that made the fund Long-Term Capital Management. If spreads widened, however, it was assumed that arbitrage capital would move in to exploit them, and in so doing restrict the widening (Rosenfeld interview). Indeed, once spreads had become wide enough, the actions of ordinary investors were expected to reduce them.
The configuration of the markets by August 1998, however, was that the widening of spreads was self-feeding rather than self-limiting. As arbit­rageurs began to incur losses, they almost all seem to have reacted by seeking to reduce their positions, and in so doing they intensified the price pressure that had caused them to make the reductions. In some cases, senior manage­ment simply became ‘queasy’ (Rosenfeld interview) at the losses that were being incurred, and unwilling to incur the risk of further, possibly larger, losses before trades turned profitable. In the United Kingdom, for example, Salomon, LTCM, a large British clearing bank, and others had all taken posi­tions in the expectation of a narrowing of sterling swap spreads. As those spreads widened, the senior management of the clearing bank decided to exit. Such a decision by management might even be anticipated by the traders: ‘you know that if your manager sees that you’re down $10 million... the likelihood that he will ask you to get out of this position is very high. It’s not a formal stop-loss but...it’s there’ (Kaplanis interview).
Another factor may paradoxically have been modern risk management practices, particularly the ‘value-at-risk’ method of measuring and managing the exposure of a portfolio of assets to losses. This statistical technique allows senior management to control the risks incurred by trading desks by allocating them a risk limit, while avoiding detailed supervision of their trading. When a desk reaches its value-at-risk limit, it must start to liquidate its positions. Says one trader: ‘a proportion of the investment bank[s] out there... are managed by accountants, not smart people, and the accountants have said, “well, you’ve hit your risk limit. Close the position” ’ (Wenman interview). An international change in banking supervision practices increased the significance of value-at-risk. Banks are required to set aside capital to meet the various risks they face, and in 1996 they began to be allowed to use value- at-risk models to calculate the set-aside required in respect to fluctuations in the market value of their portfolios (Basle Committee on Banking Supervision 1996). The change was attractive to banks because it reduced capital requirements, but it had the consequence that as market prices move against a bank and become more volatile, it has either to raise more capital to preserve its trading positions, a slow and often unwelcome process, or to try to liquidate those positions.
The consequences for LTCM of these processes went beyond losses on indi­vidual trades. ‘[A]s people were forced to sell, that drove the prices even fur­ther down. Market makers quickly became overwhelmed, where the dealers, who would [normally] be willing to buy or sell those positions were simply unwilling to do it, and they either said, “Just go away. I’m not answering my phone” or set their prices at ridiculous levels’ (Shaw interview). The simple fact that the crisis occurred in August, the financial markets’ main holiday month and thus typically the worst time to try to sell large positions, may have exacerbated the effects on prices. Crucially, correlations between the different components of LTCM’s portfolio leapt upward from their typical level of 0.1 or less to around 0.7 (Leahy interview). Suddenly, a whole range of positions— hedged, and with little or nothing in common at the level of economic fundamentals—started to incur losses virtually across the board. LTCMs losses were stunning in their size and rapidity: in August 1998, it lost 44% of its capital. However, though massive, and far greater than had seemed plausible on the basis of LTCM’s risk model, this loss was not in itself catastrophic. LTCM was, it seemed, a long way from being bankrupt, and indeed, the widening of spreads meant that the arbitrage positions it held had become more attractive. Spreads could be expected to fall—indeed, they have subsequently fallen—and as they did LTCM’s losses could be recouped and profits made.
This would happen, however, only if LTCM survived to make those profits. At this point a social process of a different kind intervened: in effect, a run on the bank. ‘If I had lived through the Depression’, says Meriwether: ‘I would have been in a better position to understand events in September 1998’ (Meriwether interview). Unlike investment banks, which report their results quarterly, LTCM and other hedge funds report monthly. On September 2, Meriwether faxed LTCM’s investors its estimate of the August loss. His fax, intended to be private to LTCM’s investors, became public almost instantly: ‘Five minutes after we sent out first letter...to our handful of shareholders, it was on the Internet’ (Merton interview). In an already febrile atmosphere, news of LTCM’s losses fed fears of the fund’s imminent collapse. These fears had two effects. First, they had an immediate effect on the prices of assets LTCM was known or believed to hold in large quantities. Such assets became impossible to sell at anything other than distressed prices. Beliefs about LTCM’s portfolio were sometimes far from accurate: after the crisis LTCM was approached with an offer to buy six times the position it actually held in Danish mortgage- backed securities (Meriwether interview). Nevertheless, presumptions about its positions were accurate enough to worsen its situation considerably.
The second effect upon LTCM of fears of its collapse was even more direct. Its relationship to its counterparties typically was governed by ‘two­way mark-to-market’: as market prices moved in favour of LTCM or its counterparty, solid collateral, such as government bonds, flowed from one to the other. In normal times, in which market prices were reasonably unequiv­ocal, it was an eminently sensible way of controlling risk by minimizing the consequences of default. In September 1998, however, the markets within which LTCM operated had become illiquid. There was ‘terror’ that LTCM was going to liquidate, says Meriwether (interview). The loss caused to a counterparty if that happened could be mitigated by it getting as much col­lateral as possible from LTCM before liquidation, and this could be achieved by ‘marking against’ LTCM: by choosing, out of the wide spectrum of plausible market prices, a price unfavourable to LTCM, indeed predicated upon the latter’s failure (Merton interview; Meriwether interview). LTCM had the contractual right to dispute unfavourable marks: in its index options contracts, for example, such a dispute would have been arbitrated by getting price quotations from three dealers not directly involved. These dealers, how­ever, would also be anticipating LTCM’s failure, so disputing marks would not have helped greatly. The outflows of capital resulting from unfavourable marks were particularly damaging in LTCM’s index option positions, where they cost the fund around $1 billion, nearly half of the September losses that pushed it to the brink of bankruptcy (Rosenfeld interview).
LTCM kept its counterparties and the Federal Reserve informed of the continuing deterioration of its financial position. On September 20, 1998, staff from the Federal Reserve Bank of New York and Assistant Secretary of the Treasury Gary Gensler met with LTCM. By then, it was clear that with­out outside intervention bankruptcy was inevitable. In the words of William J. McDonough, President of the Federal Reserve Bank of New York:
Had Long-Term Capital been suddenly put into default, its counterparties would have immediately ‘closed out’ their positions... [I]f many firms had rushed to close out hundreds of billions of dollars in transactions simultaneously... there was a likeli­hood that a number of credit and interest rate markets would experience extreme price moves and possibly cease to function for a period of one or more days and maybe longer (McDonough 1998: 1051-2).
If ‘the failure of LTCM triggered the seizing up of markets’, said Alan Greenspan, it ‘could have potentially impaired the economies of many nations, including our own’ (Greenspan 1998: 1046).
McDonough brokered a meeting of LTCM’s largest counterparties, which concluded that a recapitalization of LTCM would be less damaging to them than a fire sale of its assets. Fourteen banks contributed a total of $3.6 billion, in return becoming owners of 90% of the fund. LTCM’s investors and partners were not bailed out: they were left with only $400 million, a mere tenth of what their holdings were worth not long previously. The recapitalization did not immediately end the crisis: many feared that the consortium that now owned LTCM might still decide on an abrupt liquidation. On October 15, 1998, how­ever, the Federal Reserve cut interest rates without waiting for its regular sched­uled meeting, and the emergency cut began to restore confidence. It also gradually became clear that the consortium was intent on an orderly, not a sud­den, liquidation of LTCM’s portfolio, which was achieved by December 1999.
What, then, might a sociology of arbitrage consist in, and how does the case of LTCM bear upon it? Three key points emerge. First, arbitrage has a ‘Granovetterian’ sociology (Granovetter 1985, 1990): it is an activity con­ducted not by anonymous, atomistic economic agents, but by people who are often personally known to each other. Second, included in the possible forms of interaction amongst these people is imitation, and this has particularly dangerous consequences (as in the more general economic sociology models of White and Fligstein). Third, for this and other reasons the capacity of arbitrage to insulate ‘the economic’ from ‘the social’ is limited: indeed, the interweaving of the economic and the social is too intimate to be captured even by notions of imperfect insulation.
Interviewee David Wenman’s use of the phrase ‘arbitrage community’ is not happenstance: arbitrageurs often know each other and are affected by each other. ‘Community’ does not imply harmony. For example, one inter­viewee at LTCM suggested that it had generated resentment amongst Wall Street investment banks (for instance by pressing hard to reduce ‘haircuts’) and that others ‘were, I think, jealous of the money we made’. Resentment and jealousy, however, are indicative that those involved were not atomistic individuals, but mutually aware and mutually susceptible. Positive forms of this awareness and susceptibility were also evident: I was struck, especially during the process of getting interviewees’ permission for quotation, how exercised they often were not to give offence to each other.
These issues of mutual susceptibility are not matters incidental to the real business of arbitrage, because that real business depends upon mundane forms of social interaction with personally known others. To perform its arbitrages, the Salomon/LTCM group had to borrow money (via what par­ticipants call ‘repo’, in which the borrowed money is used to buy securities that are pledged as collateral for the loan) and also had to borrow bonds (for short sale). Others of its trades, for example the Royal Dutch/Shell arbitrage, were implemented by arranging ‘total return swaps’ with banks. All these were wholly legitimate activities, but getting the best possible repo, bond bor­rowing and swap terms was critical to the profitability of arbitrage exploiting small price discrepancies. It could be done better amongst personally-known people, rather than by anonymous commercial interaction. In the 1970s and 1980s, for example, ‘repo...wasn’t done by the top people at the firm: it was almost like a clerk’s job’, and Rosenfeld and his Salomon and future LTCM colleagues ‘always spent a lot of time with those guys and that was very important to us’ (Rosenfeld interview).
The emphasis in commentary on LTCM on its use of mathematical models has diverted attention from the extent to which its arbitrage activities (and also those of its predecessor group at Salomon) rested upon a Granovetterian, institutional understanding of the embedded nature of markets. Meriwether’s reputation as a trader in the US bond market rested less on mathematical sophistication than on his understanding of matters like who held which bonds and why. ‘Mathematics was helpful’, he says, but understanding the institutional structure of the bond market was ‘more important’ (Meriwether interview).
As Salomon’s arbitrage activities began to expand overseas, Meriwether realized that it would not be enough simply to send Americans, however sophisticated mathematically, into overseas markets. ‘Knowing the culture was more import­ant than just quantitative knowledge’, he says. Typically, Salomon would seek to recruit people brought up overseas, train them in New York, and then send them back to the markets in the countries in which they were raised. The head of Salomon’s trading activities in Japan, the legendarily-successful Shigeru Miyojin is an instance. Someone who did not know Japanese would be at a disadvantage, and in Japan (as elsewhere) the price discrepancies that were of interest to arbi­trage would typically be ‘driven by the tax and regulatory framework’. An out­sider would often find that framework hard to comprehend in sufficient depth (Meriwether interview).
The Granovetterian sociology of market embedding is thus evident in the normal practice of arbitrage. In the case of LTCM, however, that embedding took a very specific form, imitation, and this is the second aspect of the soci­ology of arbitrage that needs emphasizing. The underlying general point is well-known to economic sociology, and has been emphasized, for example, by White (1981, 2001) and Fligstein (1996, 2001). Firms do not choose courses of action in isolation: they monitor each other, and make inferences about the uncertain situation they face by noting the success or failure of others’ strategies. When this leads to diversity—to firms selecting different strategies and coming to occupy different niches—a stable market structure can result. But if firms imitate, each choosing the same strategy, disastrous crowding (White 2001: 139-44) can occur. That is what took place in global arbitrage in the 1990s.
The effects of imitation run deep: it can, for example, affect the statistical distributions of price changes, causing distributions to become dangerously ‘fat-tailed’ (i.e. the probability of extreme events is far higher than implied by standard normal or log-normal distributional assumptions). That imitation can affect statistical distributions in this way was shown in theoretical work by Lux and Marchesi (1999); the case of LTCM appears to show it happen­ing in practice. The unraveling of the imitative superportfolio caused ‘fat tailed’ price changes far beyond those anticipated on standard models.5
Imitation led to extreme price movements and to disaster because of a third feature of the sociology of arbitrage: the possibility of ‘arbitrage flight’, the risk that arbitrage positions that, if held for long enough, have to be profitable may nevertheless have to be abandoned.6 (LTCM’s arbitrage positions were eventually profitable: the consortium that recapitalized the fund not only recouped its investment but made a modest profit on it, and would have made a larger profit had its goal not been to liquidate LTCM’s positions in an orderly but rapid fashion.) This possibility was expressed to me, separately, by two partners in LTCM who used the same analogy. Suppose they had been vouchsafed a little peek into the future: that they knew, with absolute certainty, that at a particular point in time the stock price of company X would be zero (these conversations took place during the dot.com bubble). Could they, they asked me, make money with certainty from this knowledge? Their question was rhetorical: they knew the answer to be no. Of course, they could sell the stock short (see the glossary in Table 3.1). If they could hold their position until the stock price became zero, they could indeed profit handsomely. But a rise in price in the interim could still exhaust their capital and thus force them to liquidate at a loss.
The consequence of this third feature of arbitrage, when conjoined with the second feature (imitation),7 is that arbitrage’s capacity to ‘insulate’ the economic from the social is limited. This constitutes, for example, a limit on the performativity of economics: under some circumstances, arbitrage may be unable to eliminate what economic theory regards as pricing discrepancies. Ultimately, the metaphor of ‘insulation’, the Parsonian view of the economy as a differentiated subsystem, is itself inadequate. The financial markets are not an imperfectly insulated sphere of economic rationality, but a sphere in which the economic and the social interweave seamlessly. In respect to arbit­rage, the key risks may be social risks from patterns of interaction within the financial markets, rather than shocks from the real economy or from events outside the markets. That, at least, is what seems to be suggested by the con­trast between August 17, 1998 (the Russian default, a relatively minor eco­nomic event, triggered a disastrous unravelling of an imitative superportfolio) and September 11, 2001 (a dramatic external shock that failed to trigger dan­gerous internal social processes).8
The interweaving of the economic and the social is not simply a matter of analytical interest. It affects the technical practices of risk management, because imitation of the kind evident in 1998 can undermine the protection flowing from the basic precept of such management: diversification. The most important way in which LTCM’s successor, JWM Partners, has altered its predecessor’s risk model to take account of the lessons of 1998 is that all the fund’s positions, however well diversified geographically and unrelated in asset type, are now assumed to have correlations of 1.0 ‘to the worst event’ (Meriwether interview). In an extreme crisis, it is assumed that diversification may fail completely: all the fund’s positions may move in lock-step and adversely, even those positions where the fund holds assets that should rise in relative value in a crisis.
One way of expressing the forms currently taken by the inextricable inter­weaving of the economic and the social is via Knorr Cetina and Bruegger’s notion of global microstructure. The financial markets are now global in their reach, but interaction within them still takes the form of ‘patterns of relatedness and coordination that are microsocial in character and that assemble and link global domains’ (Knorr Cetina and Bruegger 2002: 907). In a sense, it was globalization that undid LTCM: ‘Maybe the error of Long­Term was that of not realizing that the world is becoming more and more global over time’, says Myron Scholes (interview). Of course, no one was more aware than LTCM’s principals of globalization as a general process (they had surfed globalization’s wave, so to speak), but what caught them unawares were the consequences of the global microstructure created by imitative arbitrage. What happened in August and September 1998 was not simply that international markets fell in concert (that would have had little effect on LTCM), but that very particular phenomena, which at the level of economic fundamentals were quite unrelated, suddenly started to move in close to lock-step: swap spreads, the precise shape of yield curves, the beha­viour of equity pairs such as Royal Dutch/Shell, and so on. The ‘nature of the world had changed’, says Meriwether, ‘and we hadn’t recognised it’. LTCM’s wide diversification, both internationally and across asset classes, which he had thought kept aggregate risk at acceptably modest levels, failed to do so, because of the effects of a global microstructure.
Since September 1998, this particular microstructure has dissipated as arbitrage capital has withdrawn from the markets. The failure of the shock of September 11, 2001, to ramify and amplify through the markets is testimony to the way in which market linkages driven by imitative arbitrage have been very much weaker subsequently. LTCM’s successor fund, JWM Partners, was active then too, but its capital base was smaller and its leverage levels lower, so its arbitrage positions were considerably smaller (Silverman and Chaffin 2000). The amount of capital devoted to convergence and relative value arbit­rage by other market participants such as investment banks was also much smaller (interviewees estimate possibly only a tenth as large in total). There was thus no significant superportfolio in 2001. September 11 sparked another flight-to-quality, but there was no equivalent crisis. While LTCM had been devastated in 1998, JWM Partners’ broadly similar, but much smaller, port­folio emerged unscathed from September 2001: the partnership’s returns in that month were ‘basically flat’. Of course, the linkages manifest in 1998 may well return, albeit most likely in different forms. But that, indeed, may pre­cisely be the point. Globalization is not a once-and-for-all event, not a unidi­rectional process, not something that can be stopped, but a composite of a myriad microstructures, often contradictory, waxing, and waning.
Partners in and employees of LTCM:
Haghani, Victor, Gerard Gennotte, Fabio Bassi, and Gustavo Lao, London, February 11, 2000.
Leahy, Richard F., Greenwich, Conn., October 31, 2000.
Meriwether, John W., Greenwich, Conn., November 14, 2000.
Merton, Robert C., Cambridge, Mass., November 2, 1999.
Rosenfeld, Eric, Rye, NY, October 30, 2000.
Scholes, Myron S., San Francisco, June 15, 2000.
This article also draws on a wider set of interviews (numbering 60 in total) conducted by the author with finance theorists and market practitioners, of which those drawn on most directly here are:
Kaplanis, Costas, London, February 11, 2000.
Shaw, David E., New York, November 13, 2000.
Wenman, David, London, June 22, 2001.
Not all interviewees were prepared to be identified, and some quotations and interview material are therefore anonymous.
1.   See Barry and Slater (2002) and the subsequent papers in the May 2002 issue of Economy and Society.
2.   Strictly, the fund was the investment vehicle (Long-Term Capital Portfolio) that LTCM managed, but to avoid complication I shall refer to both as LTCM.
3.   Figures for total returns are calculated from the data in Perold (1999: A19); the figures for returns net of fees are taken from Perold (1999: A2).
4.   See Scholes (2000) for an interpretation of the crisis in terms of the ‘liquidity premium’.
5.   The dollar swap spread, for example, has a daily volatility (standard deviation) of around 0.8 basis points. Perhaps the single most dramatic event in the crisis of August and September 1998 was the widening of the dollar swap spread in half a day (the morning of Friday, August 21, five days after the Russian default) of 19 basis points (Perold 1999: C2): a 35a event. Of course, nothing can safely be inferred from a single event plucked from amongst many, but it is worth noting that the aggregate movement in price of LTCMs positions in August 1998 (a 44% loss) was a —14a event in terms of the 3.2% historical monthly volatility of the fund’s portfolio and a —10.5a event on its risk model’s 4.2% monthly volatility. Either is wildly unlikely on standard distributional assumptions.
6.   This feature has been modelled by behavioral finance specialist Andrei Shleifer (Shleifer and Vishny 1997; Shleifer 2000). Shleifer’s work is prescient: the Shleifer and Vishny model captures well one key aspect of 1998, the arbitrage flight that occurs when those who invest capital in arbitrageurs withdraw it prematurely in response to adverse price movements. But in another respect even Shleifer pre­serves the Parsonian boundary around the ‘economic’. The Shleifer-Vishny model’s arbitrageurs are not influenced by each other, and each has perfect individual knowledge of the true value of the asset they trade. As we have seen, however, a key dynamic leading to the crisis of 1998 was imitation amongst arbitrageurs. The result­ant correlation of prices that were otherwise essentially unrelated economically— the second key aspect of 1998—is not captured by the Shleifer-Vishny model’s single asset market and non-imitative arbitrageurs.
7.   Were it not for the risk of imitation-induced correlation, the dangers posed by arbitrage flight could be reduced greatly by holding a large portfolio of diverse arbitrage positions.
8.   2002 saw sharp falls in global stock markets, but these were not the direct effect of September 11. After recovering quickly from the initial shock of September 11,
stock markets continued to rise for several months before succumbing to the effects of events such as the Enron and WorldCom scandals.

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