# Long-Term Capital Management

Long-Term Capital Management L.P. (LTCM) was a highly leveraged hedge fund. In 1998, it received a $3.6 billion bailout from a group of 14 banks, in a deal brokered and put together by the Federal Reserve Bank of New York.
LTCM was founded in 1994 by John Meriwether, the former vice-chairman and head of bond trading at Salomon Brothers. Members of LTCM's board of directors included Myron Scholes and Robert C. Merton, who three years later in 1997 shared the Nobel Prize in Economics for having developed the Black–Scholes model of financial dynamics.
LTCM was initially successful, with annualized returns (after fees) of around 21% in its first year, 43% in its second year and 41% in its third year. However, in 1998 it lost $4.6 billion in less than four months due to a combination of high leverage and exposure to the 1997 Asian financial crisis and 1998 Russian financial crisis. The master hedge fund, Long-Term Capital Portfolio L.P., collapsed soon thereafter, leading to an agreement on September 23, 1998, among 14 financial institutions for a $3.65 billion recapitalization under the supervision of the Federal Reserve. The fund was liquidated and dissolved in early 2000.

## Founding

John Meriwether headed Salomon Brothers' bond arbitrage desk until he resigned in 1991 amid a trading scandal. According to Chi-fu Huang, later a Principal at LTCM, the bond arbitrage group was responsible for 80–100% of Salomon's global total earnings from the late 1980s until the early 1990s.
In 1993 Meriwether created Long-Term Capital as a hedge fund and recruited several Salomon bond traders; Larry Hilibrand and Victor Haghani in particular would wield substantial clout and two future winners of the Nobel Memorial Prize, Myron Scholes and Robert C. Merton. Other principals included Eric Rosenfeld, Greg Hawkins, William Krasker, Dick Leahy, James McEntee, Robert Shustak, and David W. Mullins Jr.
The company consisted of Long-Term Capital Management (LTCM), a Delaware-incorporated company based in Greenwich, Connecticut. LTCM managed trades in Long-Term Capital Portfolio LP, a partnership registered in the Cayman Islands. The fund's operation was designed to have extremely low overhead; trades were conducted through a partnership with Bear Stearns and client relations were handled by Merrill Lynch.
Meriwether chose to start a hedge fund to avoid the financial regulation imposed on more traditional investment vehicles, such as mutual funds, as established by the Investment Company Act of 1940 – funds which accepted stakes from 100 or fewer individuals each with more than $1 million in net worth were exempt from most of the regulations that bound other investment companies. The bulk of the money raised, in late 1993, came from companies and individuals connected to the financial industry. With the help of Merrill Lynch, LTCM also secured hundreds of millions of dollars from high-net-worth individual including business owners and celebrities, as well as private university endowments and later the Italian central bank. By 24 February 1994, the day LTCM began trading, the company had amassed just over $1.01 billion in capital.

## Trading strategies

The main strategy was to find pairs of bonds which should have a predictable spread between their prices, and then when this spread widened further to basically place a bet that the two prices would come back towards each other.
The core investment strategy of the company was then known as involving convergence trading: using quantitative models to exploit deviations from fair value in the relationships between liquid securities across nations, and between asset classes (i.e. Fed model-type strategies). In fixed income the company was involved in US Treasuries, Japanese Government Bonds, UK Gilts, Italian BTPs, and Latin American debt, although their activities were not confined to these markets or to government bonds. LTCM was the brightest star on Wall Street at that time.

### List of Major 1998 Trades
#### Fixed Income Arbitrage

* Short US swap spread
* Euro Cross-Swap
* Long US mortgages hedged
* Swap curve Japan
* Italian swap spread
* Fixed income volatility
* On-the-run/off-the-run spread
* Junk bond arbitrage

#### Equity

* Short equity volatility
* Risk arbitrage
* Equity relative value

#### Emerging Markets

* Long emerging market sovereigns
* Long emerging market currency
* Long emerging market equity hedged to S&P 500

#### Other

* Yield curve trades
* Short high-tech stocks
* Convertible arbitrage
* Index arbitrage

### Fixed income arbitrage

Fixed income securities pay a set of coupons at specified dates in the future, and make a defined redemption payment at maturity. Since bonds of similar maturities and the same credit quality are close substitutes for investors, there tends to be a close relationship between their prices (and yields). Whereas it is possible to construct a single set of valuation curves for derivative instruments based on LIBOR-type fixings, it is not possible to do so for government bond securities because every bond has slightly different characteristics. It is therefore necessary to construct a theoretical model of what the relationships between different but closely related fixed income securities should be.
For example, the most recently issued treasury bond in the US – known as the benchmark – will be more liquid than bonds of similar but slightly shorter maturity that were issued previously. Trading is concentrated in the benchmark bond, and transaction costs are lower for buying or selling it. As a consequence, it tends to trade more expensively than less liquid older bonds, but this expensiveness (or richness) tends to have a limited duration, because after a certain time there will be a new benchmark, and trading will shift to this security newly issued by the Treasury. One core trade in the LTCM strategies was to purchase the old benchmark – now a 29.75-year bond, and which no longer had a significant premium – and to sell short the newly issued benchmark 30-year, which traded at a premium. Over time the valuations of the two bonds would tend to converge as the richness of the benchmark faded once a new benchmark was issued. If the coupons of the two bonds were similar, then this trade would create an exposure to changes in the shape of the typically upward sloping yield curve: a flattening would depress the yields and raise the prices of longer-dated bonds, and raise the yields and depress the prices of shorter-dated bonds. It would therefore tend to create losses by making the 30-year bond that LTCM was short more expensive (and the 29.75-year bond they owned cheaper) even if there had been no change in the true relative valuation of the securities. This exposure to the shape of the yield curve could be managed at a portfolio level, and hedged out by entering a smaller steepener in other similar securities.

### Leverage and portfolio composition

Because the magnitude of discrepancies in valuations in this kind of trade is small (for the benchmark Treasury convergence trade, typically a few basis points), in order to earn significant returns for investors, LTCM used leverage to create a portfolio that was a significant multiple (varying over time depending on their portfolio composition) of investors' equity in the fund. It was also necessary to access the financing market in order to borrow the securities that they had sold short. In order to maintain their portfolio, LTCM was therefore dependent on the willingness of its counterparties in the government bond (repo) market to continue to finance their portfolio. If the company were unable to extend its financing agreements, then it would be forced to sell the securities it owned and to buy back the securities it was short at market prices, regardless of whether these were favorable from a valuation perspective.
At the beginning of 1998, the firm had equity of $4.7 billion and had borrowed over $124.5 billion with assets of around $129 billion, for a debt-to-equity ratio of over 25 to 1. It had off-balance sheet derivative positions with a notional value of approximately $1.25 trillion, most of which were in interest rate derivatives such as interest rate swaps. The fund also invested in other derivatives such as equity options.
John Quiggin's book Zombie Economics (2010) states, "These derivatives, such as interest rate swaps, were developed with the supposed goal of allowing firms to manage risk on exchange rates and interest rate movements. Instead, they allowed speculation on an unparalleled scale."

### Secret and opaque operations

LTCM was open about its overall strategy, but very secretive about its specific operations, including scattering trades among banks. And in perhaps a disconcerting note, "since Long-Term was flourishing, no one needed to know exactly what they were doing. All they knew was that the profits were coming in as promised," or at least perhaps what should have been a disconcerting note when looked at in hindsight.
Opaqueness may have made even more of a difference and investors may have had even a harder time judging the risk involved when LTCM moved from bond arbitrage into arbitrage involving common stocks and corporate mergers.

### UBS investment

Under prevailing US tax laws, there was a different treatment of long-term capital gains, which were taxed at 20.0 percent, and income, which was taxed at 39.6 percent. The earnings for partners in a hedge fund was taxed at the higher rate applying to income, and LTCM applied its financial engineering expertise to legally transform income into capital gains. It did so by engaging in a transaction with UBS (Union Bank of Switzerland) that would defer foreign interest income for seven years, thereby being able to earn the more favorable capital gains treatment. LTCM purchased a call option on 1 million of their own shares (valued then at $800 million) for a premium paid to UBS of $300 million. This transaction was completed in three tranches: in June, August, and October 1997. Under the terms of the deal, UBS agreed to reinvest the $300 million premium directly back into LTCM for a minimum of three years. In order to hedge its exposure from being short the call option, UBS also purchased 1 million of LTCM shares. Put-call parity means that being short a call and long the same amount of notional as underlying the call is equivalent to being short a put. So the net effect of the transaction was for UBS to lend $300 million to LTCM at LIBOR+50 and to be short a put on 1 million shares. UBS's own motivation for the trade was to be able to invest in LTCM – a possibility that was not open to investors generally – and to become closer to LTCM as a client. LTCM quickly became the largest client of the hedge fund desk, generating $15 million in fees annually.

### Diminishing opportunities and broadening of strategies

LTCM attempted to create a splinter fund in 1996 called LTCM-X that would invest in even higher risk trades and focus on Latin American markets. LTCM turned to UBS to invest in and write the warrant for this new spin-off company.
LTCM faced challenges in deploying capital as their capital base grew due to initially strong returns, and as the magnitude of anomalies in market pricing diminished over time. James Surowiecki concludes that LTCM grew such a large portion of such illiquid markets that there was no diversity in buyers in them, or no buyers at all, so the wisdom of the market did not function and it was impossible to determine a price for its assets (such as Danish bonds in September 1998).
In Q4 1997, a year in which it earned 27%, LTCM returned capital to investors. It also broadened its strategies to include new approaches in markets outside of fixed income: many of these were not market neutral – they were dependent on overall interest rates or stock prices going up (or down) – and they were not traditional convergence trades. By 1998, LTCM had accumulated extremely large positions in areas such as merger arbitrage (betting on differences between a proprietary view of the likelihood of success of mergers and other corporate transactions would be completed and the implied market pricing) and S&P 500 options (net short long-term S&P volatility). LTCM had become a major supplier of S&P 500 vega, which had been in demand by companies seeking to essentially insure equities against future declines.

## Early skepticism

Despite the fund's prominent leadership and strong growth at LTCM, there were skeptics from the very beginning. Investor Seth Klarman believed it was reckless to have the combination of high leverage and not accounting for rare or outlying scenarios. Software designer Mitch Kapor, who had sold a statistical program with LTCM partner Eric Rosenfeld, saw quantitative finance as a faith, rather than science. Nobel Prize winning economist Paul Samuelson was concerned about extraordinary events affecting the market. Economist Eugene Fama found in his research that stocks were bound to have extreme outliers. Furthermore, he believed that, because they are subject to discontinuous price changes, real-life markets are inherently more risky than models. Fama became even more concerned when LTCM began adding stocks to their bond portfolio.
Warren Buffett and Charlie Munger were two of the individual investors that Meriwether approached in 1993 to invest in the fund. Both analyzed the company but turned down the offer, considering the leverage plan to be too risky.

## Downturn
### Riskier investments starting in 1997

LTCM's profit percentage for 1996 was 40%. However, for 1997, it was "only" 17%, which was actually right at average for hedge funds. A big reason was that other companies were by now following LTCM's example; greater competition left fewer arbitrage opportunities for LTCM themselves.
As a result, LTCM began investing in emerging-market debt and foreign currencies. Some of the major partners, particularly Myron Scholes, had their doubts about these new investments. For example, when LTCM took a major position in the Norwegian krone, Scholes warned that they had no "informational advantage" in this area.
In June 1998 – which was before the Russian financial crisis – LTCM posted a 10% loss, which was their biggest monthly loss to date.

### 1997 Asian financial crisis

Although 1997 had been a very profitable year for LTCM (17%), the lingering effects of the 1997 Asian crisis continued to shape developments in asset markets into 1998. Despite the crisis originating in Asia, its effects were not confined to that region. The rise in risk aversion had raised concerns amongst investors regarding all markets heavily dependent on international capital flows, and this shaped asset pricing in markets outside Asia too.

### 1998 Russian financial crisis

Although periods of distress have often created tremendous opportunities for relative value strategies, this did not prove to be the case on this occasion, and the seeds of LTCM's demise were sown before the Russian default of 17 August 1998. LTCM had returned $2.7 bn to investors in Q4 of 1997, although it had also raised a total in capital of $1.066 bn from UBS and $133 m from CSFB. Since position sizes had not been reduced, the net effect was to raise the leverage of the fund.
In May and June 1998, returns from the fund were -6.42% and -10.14% respectively, reducing LTCM's capital by $461 million. This was further aggravated by the exit of Salomon Brothers from the arbitrage business in July 1998. Because the Salomon arbitrage group (where many of LTCM's strategies had first been incubated) had been a significant player in the kinds of strategies also pursued by LTCM, the liquidation of the Salomon portfolio (and its announcement itself) had the effect of depressing the prices of the securities owned by LTCM and bidding up the prices of the securities LTCM was short. According to Michael Lewis in the New York Times article of July 1998, returns that month were circa -10%. One LTCM partner commented that because there was a clear temporary reason to explain the widening of arbitrage spreads, at the time it gave them more conviction that these trades would eventually return to fair value (as they did, but not without widening much further first).
Such losses were accentuated through the 1998 Russian financial crisis in August and September 1998, when the Russian government defaulted on its domestic local currency bonds. This came as a surprise to many investors because according to traditional economic thinking of the time, a sovereign issuer should never need to default given access to the printing press. There was a flight to quality, bidding up the prices of the most liquid and benchmark securities that LTCM was short, and depressing the price of the less liquid securities it owned. This phenomenon occurred not merely in the US Treasury market but across the full spectrum of financial assets. Although LTCM was diversified, the nature of its strategy implied an exposure to a latent factor risk of the price of liquidity across markets. As a consequence, when a much larger flight to liquidity occurred than had been anticipated when constructing its portfolio, its positions designed to profit from convergence to fair value incurred large losses as expensive but liquid securities became more expensive, and cheap but illiquid securities became cheaper. By the end of August, the fund had lost $1.85 billion in capital.
Because LTCM was not the only fund pursuing such a strategy, and because the proprietary trading desks of the banks also held some similar trades, the divergence from fair value was made worse as these other positions were also liquidated. As rumors of LTCM's difficulties spread, some market participants positioned in anticipation of a forced liquidation. Victor Haghani, a partner at LTCM, said about this time "it was as if there was someone out there with our exact portfolio,... only it was three times as large as ours, and they were liquidating all at once."
Because these losses reduced the capital base of LTCM, and its ability to maintain the magnitude of its existing portfolio, LTCM was forced to liquidate a number of its positions at a highly unfavorable moment and suffer further losses. A vivid illustration of the consequences of these forced liquidations is given by Lowenstein (2000). He reports that LTCM established an arbitrage position in the dual-listed company (DLC) Royal Dutch Shell in the summer of 1997, when Royal Dutch traded at an 8%–10% premium relative to Shell. In total $2.3 billion was invested, half of which was "long" in Shell and the other half was "short" in Royal Dutch. LTCM was essentially betting that the share prices of Royal Dutch and Shell would converge because in their belief the present value of the future cashflows of the two securities should be similar. This might have happened in the long run, but due to its losses on other positions, LTCM had to unwind its position in Royal Dutch Shell. Lowenstein reports that the premium of Royal Dutch had increased to about 22%, which implies that LTCM incurred a large loss on this arbitrage strategy. LTCM lost $286 million in equity pairs trading and more than half of this loss is accounted for by the Royal Dutch Shell trade.
The company, which had historically earned annualized compounded returns of almost 40% up to this point, experienced a flight to liquidity. In the first three weeks of September, LTCM's equity tumbled from $2.3 billion at the start of the month to just $400 million by September 25. With liabilities still over $100 billion, this translated to an effective leverage ratio of more than 250-to-1.

## 1998 bailout

Long-Term Capital Management did business with nearly every important person on Wall Street. Indeed, much of LTCM's capital was composed of funds from the same financial professionals with whom it traded. As LTCM teetered, Wall Street feared that Long-Term's failure could cause a chain reaction in numerous markets, causing catastrophic losses throughout the financial system.
After LTCM failed to raise more money on its own, it became clear it was running out of options. On September 23, 1998, Goldman Sachs, AIG, and Berkshire Hathaway offered then to buy out the fund's partners for $250 million, to inject $3.75 billion and to operate LTCM within Goldman's own trading division. The offer of $250 million was stunningly low to LTCM's partners because at the start of the year their firm had been worth $4.7 billion. Warren Buffett gave Meriwether less than one hour to accept the deal; the time lapsed before a deal could be worked out.
Seeing no options left, the Federal Reserve Bank of New York organized a bailout of $3.625 billion by the major creditors to avoid a wider collapse in the financial markets. The principal negotiator for LTCM was general counsel James G. Rickards. The contributions from the various institutions were as follows:
* $300 million: Bankers Trust, Barclays, Chase, Credit Suisse First Boston, Deutsche Bank, Goldman Sachs, Merrill Lynch, J.P.Morgan, Morgan Stanley, Salomon Smith Barney, UBS
* $125 million: Société Générale
* $100 million: Paribas and Lehman Brothers
* Bear Stearns and Crédit Agricole declined to participate.
In return, the participating banks got a 90% share in the fund and a promise that a supervisory board would be established. LTCM's partners received a 10% stake, still worth about $400 million, but this money was completely consumed by their debts. The partners once had $1.9 billion of their own money invested in LTCM, all of which was wiped out.
The fear was that there would be a chain reaction as the company liquidated its securities to cover its debt, leading to a drop in prices, which would force other companies to liquidate their own debt in a vicious cycle.
The total losses were found to be $4.6 billion. The losses in the major investment categories were (ordered by magnitude):
* $1.6 bn in swaps
* $1.3 bn in equity volatility
* $430 mn in Russia and other emerging markets
* $371 mn in directional trades in developed countries
* $286 mn in Dual-listed company pairs (such as VW, Shell)
* $215 mn in yield curve arbitrage
* $203 mn in S&P 500 stocks
* $100 mn in junk bond arbitrage
* no substantial losses in merger arbitrage
Long-Term Capital was audited by Price Waterhouse LLP. After the bailout by the other investors, the panic abated, and the positions formerly held by LTCM were eventually liquidated at a small profit to the rescuers. Although termed a bailout, the transaction effectively amounted to an orderly liquidation of the positions held by LTCM with creditor involvement and supervision by the Federal Reserve Bank. No public money was injected or directly at risk, and the companies involved in providing support to LTCM were also those that stood to lose from its failure. The creditors themselves did not lose money from being involved in the transaction.
Some industry officials said that Federal Reserve Bank of New York involvement in the rescue, however benign, would encourage large financial institutions to assume more risk, in the belief that the Federal Reserve would intervene on their behalf in the event of trouble (see Greenspan put). Federal Reserve Bank of New York actions raised concerns among some market observers that it could create moral hazard since even though the Fed had not directly injected capital, its use of moral suasion to encourage creditor involvement emphasized its interest in supporting the financial system.
LTCM's strategies were compared to "picking up nickels in front of a bulldozer" – a likely small gain balanced against a small chance of a large loss, like the payouts from selling an out-of-the-money naked call option. This contrasts with the market efficiency aphorism that there are no $100 bills lying on the street, as someone else has already picked them up.

## Aftermath

In 1998, the chairman of Union Bank of Switzerland resigned as a result of a $780 million loss incurred from writing put options on LTCM, which had become significantly in-the-money due to LTCM's collapse.
After the bailout, Long-Term Capital Management continued operations. In the year following the bailout, it earned 10%. By early 2000, the fund had been liquidated, and the consortium of banks that financed the bailout had been paid back, but the collapse was devastating for many involved. Mullins, once considered a possible successor to Alan Greenspan, saw his future with the Fed dashed. The theories of Merton and Scholes took a public beating. In its annual reports, Merrill Lynch observed that mathematical risk models "may provide a greater sense of security than warranted; therefore, reliance on these models should be limited."
After helping unwind LTCM, John Meriwether launched JWM Partners. Haghani, Hilibrand, Leahy, and Rosenfeld signed up as principals of the new firm. By December 1999, they had raised $250 million for a fund that would continue many of LTCM's strategies – this time, using less leverage. With the credit crisis of 2008, JWM Partners LLC was hit with a 44% loss from September 2007 to February 2009 in its Relative Value Opportunity II fund. As such, JWM Hedge Fund was shut down in July 2009. Meriwether then launched a third hedge fund in 2010 called JM Advisors Management. A 2014 Business Insider article stated that his later two funds used "the same investment strategy from his time at LTCM and Salomon."

## Analysis

Historian Niall Ferguson proposed that LTCM's collapse stemmed in part from their use of only five years of financial data to prepare their mathematical models, thus drastically under-estimating the risks of a profound economic crisis:
   The firm's value at risk (VaR) models had implied that the loss Long Term suffered in August was so unlikely that it ought never to have happened in the entire life of the universe. But that was because the models were working with just five years' worth of data. If the models had gone back even eleven years, they would have captured the 1987 stock market crash. If they had gone back eighty years they would have captured the last great Russian default, after the 1917 Revolution. Meriwether himself, born in 1947, ruefully observed: "If I had lived through the Depression, I would have been in a better position to understand events." To put it bluntly, the Nobel prize winners had known plenty of mathematics, but not enough history.
These ideas were expanded in a 2016 CFA article written by Ron Rimkusk, which pointed out that the VaR model, one of the major quantitative analysis tool by LTCM, had several flaws in it. A VaR model is calculated based on historical data, but the data sample used by LTCM excluded previous economic crises such as those of 1987 and 1994. VaR also could not interpret extreme events such as a financial crisis in terms of timing.