Relative Value - Convergence Trades and the Leverage Trap

By EC Assets Research Team, Alternatives Research · Published 20 May 2026 · Updated 16 October 2026

Relative Value: Relative-value strategies profit from abnormal spreads between related securities converging to fair value - buying the cheap, shorting the expensive, so market direction cancels out. Because spreads are tiny, they rely on heavy leverage, which produces smooth returns in calm markets and catastrophic losses in liquidity crises, as LTCM showed in 1998.

What Relative Value Is

Relative-value strategies profit from price gaps between related securities. The manager buys the cheaper instrument and sells the dearer one, so that broad market moves largely cancel and the return comes from the spread between them returning to a normal level. The relationship can be structural, such as two government bonds with almost identical cash flows, contractual, such as a convertible bond and the shares it converts into, or statistical, such as two shares that have historically moved together.

It is the most quantitative corner of the hedge fund industry and the most dependent on leverage, because the price gaps involved are usually small.

How It Works

The main branches are fixed income arbitrage, which trades on-the-run against off-the-run government bonds, bond futures against cash bonds, and swap spreads; convertible arbitrage, which buys convertible bonds and shorts the issuer's shares to isolate cheap optionality; statistical arbitrage and pairs trading, which Gatev, Goetzmann and Rouwenhorst (2006) show earned positive excess returns by trading pairs of shares that had moved together; and volatility relative value, including dispersion trading.

In convertible arbitrage the fund buys a convertible bond and shorts enough of the issuer's shares to offset the bond's sensitivity to the share price, then adjusts the hedge as the price moves. It earns the coupon, the interest on the short sale proceeds and gains from re-hedging, the same mechanics as a delta-hedged long option position, and bears the issuer's credit risk and the risk that borrowing the shares becomes expensive.

In fixed income the two legs are usually sized to equal DV01, the value of a basis point, so that a parallel move in rates has no effect and only the spread matters, using the duration of each bond. Duarte, Longstaff and Yu (2007) find that several fixed income arbitrage strategies earned positive risk-adjusted returns, with the strategies requiring more modelling skill earning more.

The financing comes from prime brokers and repo markets, which lend against the positions with haircuts. Shleifer and Vishny (1997) explain why arbitrage is limited: arbitrageurs manage other people's money and borrowed money, so when a mispricing deepens, losses trigger withdrawals and margin calls that force them to sell exactly when the opportunity is best.

Worked Example

A desk with 50 million of capital buys 1 billion of an off-the-run 10-year bond and sells 1 billion of the on-the-run issue, which yields 5 basis points less. With a modified duration of about 8, each leg has a DV01 of 1 billion × 8 × 0.0001 = 800,000 per basis point. Gross positions are 2 billion, 40 times the capital.

If the spread narrows from 5 to 1 basis point, the trade earns 4 × 800,000 = 3.2 million, a return of 6.4 percent on equity. If instead the spread widens by 10 basis points in a flight to liquidity, the loss is 8.0 million, or 16 percent of equity, and lenders may raise haircuts at the same time, forcing the desk to cut positions at the wider spread.

This is the pattern that brought down Long-Term Capital Management. After Russia's default in August 1998, investors fled to the most liquid securities, and many of the fund's convergence trades widened together. It lost about 4.6 billion dollars and was recapitalised by 14 banks in September 1998, although several of its positions later converged.

When It Applies (and Limitations)

Spreads can widen before they converge. A trade can be right in the long run and still force losses if financing is withdrawn first.

Correlated in stress. In liquidity crises many spreads widen together, so a portfolio of apparently independent trades behaves like one large bet on liquidity. Mitchell and Pulvino (2012) show how prime brokers' withdrawal of financing in 2008 drove convertible arbitrage losses.

Model risk. Statistical relationships can break permanently, for example after a change in regulation, index rules or a company's business.

Crowding. When many funds hold the same trades, exits by a few can move spreads against all. In March 2020, the unwinding of leveraged trades between Treasury bonds and Treasury futures added to the disorder in the world's largest bond market.

Why It Matters for Institutional Investors

Steady returns with a hidden tail. Relative value often shows low volatility and low correlation with equities in normal markets, but its losses are concentrated in liquidity crises, a negatively skewed profile.

Leverage and financing diligence. The key questions concern gross leverage, haircuts, the term and diversity of financing, and the fund's behaviour in 1998, 2008 and March 2020.

Liquidity provision. Relative-value funds, often among the largest users of repo financing, earn part of their return by absorbing other investors' trades and holding less liquid securities, which makes them valuable to markets and vulnerable when liquidity is scarce.

Overlap with other strategies. Merger arbitrage in event-driven investing and volatility trading share the same convergence logic and similar crisis behaviour.

References

1. Shleifer, A., & Vishny, R. W. (1997). The Limits of Arbitrage. Journal of Finance, 52(1), 35-55.
2. Duarte, J., Longstaff, F. A., & Yu, F. (2007). Risk and Return in Fixed-Income Arbitrage: Nickels in Front of a Steamroller? Review of Financial Studies, 20(3), 769-811.
3. Gatev, E., Goetzmann, W. N., & Rouwenhorst, K. G. (2006). Pairs Trading: Performance of a Relative-Value Arbitrage Rule. Review of Financial Studies, 19(3), 797-827.
4. Mitchell, M., & Pulvino, T. (2012). Arbitrage Crashes and the Speed of Capital. Journal of Financial Economics, 104(3), 469-490.
5. Lowenstein, R. (2000). When Genius Failed: The Rise and Fall of Long-Term Capital Management. Random House.