Convergence Trade
A relative-value trade that buys relatively under-valued bonds and sells relatively over-valued ones, betting their prices converge. The gaps are tiny, so profits need heavy leverage — LTCM's undoing.
In plain language
Two bonds that ought to be priced almost alike sometimes are not. A convergence trade buys the one that looks cheap and sells the one that looks expensive, expecting the gap between them to close. If it does, the trade makes money whichever way the overall market moves — which is why such strategies are called relative-value strategies.
The catch is size. The gaps involved are, in the workbook's word, miniscule. Closing a tiny gap on a modest position earns almost nothing, so the only way to make significant profit is to run very large, highly leveraged positions.
That turns a low-risk-looking idea into a high-risk fund. If the gap widens instead of closing, leverage multiplies the loss as surely as it would have multiplied the gain.
How it works
The workbook's case — Box 7.1, Long Term Capital Management (LTCM):
- Set up by John Meriwether from Salomon Brothers, with a long track record of highly profitable relative-value strategies.
- Performed convergence trades in European, Japanese and USA sovereign bond markets, buying relatively under-valued bonds and selling relatively over-valued bonds.
- Because the differences were miniscule, it needed many highly leveraged positions. By 1998 it had equity of USD 5 billion, had borrowed over USD 125 billion, and operated at a stated leverage ratio of 30:1.
- In summer 1998 Russian sovereign debt defaulted. The resulting flight to quality in treasuries turned relative-value profits into a significant loss, compounded by leverage.
- LTCM was forced to liquidate and close. Fearing spiralling effects across the financial system, Goldman Sachs, AIG and Berkshire Hathaway on 23 September 1998 offered to buy out the partners for USD 250 million, inject USD 3.75 billion and run LTCM within Goldman's trading division. The final bailout was USD 3.65 billion.
Why it is in a due diligence chapter. The workbook uses LTCM under Investment Strategy as the classic case of why investors must examine leverage, excessive derivative trading and limits on short positions before investing.
A worked example
Illustrative figures. A fund has Rs 20 crore of capital. Two bonds, A and B, should trade at nearly the same price. A is at Rs 98.00 and B at Rs 98.50 per Rs 100 face value — a gap of Rs 0.50. The manager buys A and sells B in equal face value, expecting the gap to shrink.
Without leverage — Rs 10 crore face value each side:
Gap narrows to Rs 0.30 → gain 0.20 per Rs 100 × Rs 10 crore = Rs 2 lakh
Return on Rs 20 crore capital = 0.1%
With 30 times the capital — Rs 300 crore face value each side:
Gap narrows by Rs 0.20 → 0.20 ÷ 100 × Rs 300 crore = Rs 60 lakh (3% of capital)
Gap widens by Rs 0.70 → 0.70 ÷ 100 × Rs 300 crore = Rs 2.10 crore loss (10.5% of capital)
Nothing about the bonds changed except the size of the bet. And a gap widening from Rs 0.50 to Rs 1.20 is exactly the sort of move a flight to quality produces — the move that sank LTCM. A Category III AIF in India, whose leverage is capped at 2 times NAV, could not run the position at this scale.
Why NISM asks about it
Chapter 7 (Investment Strategies and Due Diligence Process), section 7.5, Box 7.1 carries the LTCM case under the first point of investment due diligence, the fund's investment strategy. Expect the case to be tested through its lesson — leverage and position size relative to the market caused the collapse — and through its facts: relative-value convergence trades in sovereign bonds, the Russian default of 1998, and the leverage figures.
Common exam traps
- The strategy was relative value, not directional. LTCM bet on price gaps closing, not on bond markets rising.
- The trigger was the Russian sovereign default in 1998, and the mechanism a flight to quality in treasuries.
- Leverage, not the idea itself, destroyed the fund — the workbook points to the leverage deployed and the sheer size of its positions relative to the market.
- USD 250 million was the offer to buy out the partners; USD 3.75 billion the proposed injection; USD 3.65 billion the final bailout. Keep the three apart.
- The workbook's leverage figures do not reconcile. USD 125 billion borrowed on USD 5 billion of equity is 25 times, yet the box states 30:1. Learn 30:1 as the workbook's stated ratio.
- Contrast with Indian rules: a Category III AIF's leverage may not exceed 2 times NAV.
Check yourself
1.By 1998, Long Term Capital Management held equity of USD 5 billion against borrowings of over USD 125 billion. Its leverage ratio was:
- a)5:1
- b)10:1
- c)30:1
- d)2:1, the SEBI limit
Show the answer
Answer: (c) 30:1
The workbook states that by 1998, the fund had equity of USD 5 billion and had borrowed over USD 125 billion, operating at a leverage ratio of 30:1. The leverage was necessary because the fund ran convergence trades where the difference between the converging trades was miniscule. When the Russian sovereign debt defaulted in the summer of 1998, a flight to quality turned relative-value profits into losses that were compounded by the high leverage, and the final bailout was USD 3.65 billion. Option (d) is the current Indian Category III AIF limit, which is a different matter entirely.
A note on the arithmetic: 125 ÷ 5 is 25, not 30. The workbook's 30:1 is its stated figure (borrowings were "over" USD 125 billion, and total positions exceeded that), and it is the number the paper expects — learn it as stated.
Where this is taught
Free preparation for NISM Series XIX-BRelated terms
- Category III AIFThe AIF category for funds running diverse or complex trading strategies with leverage — hedge funds and their kin — and the only category denied tax pass-through status.
- ArbitrageSimultaneously buying and selling an asset, or a replica of it, in different markets to profit from a price discrepancy — a trade that aims to lock in a profit rather than bet on direction.
- LeverageControl of a large contract value for a small upfront outlay — premium for an option buyer, margin for a futures position — which multiplies percentage gains and percentage losses by the same factor.
- Leverage riskThe risk that borrowing or derivative positions magnify a fund's losses — which is why SEBI caps Category III leverage at two times NAV and permits Category I and II almost none.
- Hedge FundA pooled vehicle using diverse or complex trading strategies, long and short positions and fund-level leverage — in India, the AIF Regulations place hedge funds in Category III.
- Investor Due DiligenceThe investigation an investor runs on an AIF and its manager before committing capital — the process of investigation and evaluation into the details of a potential investment.