Relative value hedge fund strategies take long and short positions in related securities whose prices have temporarily diverged from their normal relationship. At Level II, the hedge fund strategies reading asks you to discuss the investment characteristics, implementation, and portfolio role of these strategies, with fixed income arbitrage and convertible arbitrage as the two primary examples. The exam tests whether you understand that a hedge limits directional risk without removing basis, funding, or liquidity risk.
Quick Answer
Relative value hedge fund strategies take offsetting long and short positions in related securities when a pricing relationship, or spread, is temporarily misaligned. Fixed income arbitrage and convertible arbitrage are the two core approaches tested at Level II. The manager hedges the common risk factor, such as interest rate level or stock direction, but keeps basis risk, funding risk, and liquidity risk. A hedge can reduce the targeted directional exposure while leaving substantial residual risks.
Key Takeaways
Relative value strategies profit from the convergence of a mispriced spread between related securities, not from forecasting broad market direction.
Fixed income arbitrage pairs similar bonds, such as on-the-run versus off-the-run Treasuries, and hedges duration while keeping basis risk between the two instruments.
Convertible arbitrage buys an undervalued convertible bond and sells short the underlying stock, isolating the mispriced option while keeping credit, rate, and volatility exposure.
Leverage turns a small spread into a meaningful return, and it turns a small adverse move into a meaningful loss.
A hedge reduces exposure to the common risk factor. It does not eliminate basis risk, funding risk, liquidity risk, or model risk.
A margin call or withdrawn financing can force a position closed before convergence, turning a correct thesis into a realized loss.
In a portfolio, these strategies can diversify some directional exposures, but they carry tail risk during liquidity crises.
What You Need to Know for CFA Level II
You must discuss investment characteristics, implementation, and portfolio role for relative value hedge fund strategies. This is the exact tested task.
Know the mechanics of fixed income arbitrage: a temporary dislocation between two related fixed income instruments, hedged against the common level of rates.
Know the mechanics of convertible arbitrage: long convertible bond, short the underlying stock, hedged against the stock's directional move.
Understand why leverage is central to these trades. Spreads are small, so financing makes the return economically meaningful.
Understand that a hedge limits one risk, usually market or rate direction, while leaving basis, funding, liquidity, and model risk in place.
Be ready to explain outcomes, not just define terms. The exam rewards candidates who can explain why a hedged position still lost money.
Treat dedicated volatility strategies as a separate note. This reading covers volatility exposure only as it arises inside fixed income and convertible positions.
Explain the convergence trade and its hedges
A relative value manager identifies two related securities whose prices have drifted apart from their normal relationship. The trade buys the cheap security and sells short the expensive one, expecting the spread between them to converge. The position is hedged against the common risk factor that moves both securities together, such as the general level of interest rates. What remains is the manager's view on the spread itself.
Fixed income arbitrage
Fixed income arbitrage exploits small pricing discrepancies between related fixed income instruments. Common examples include on-the-run versus off-the-run Treasury bonds, or a cash bond versus a matching interest rate swap. The manager buys the cheaper instrument, sells short the richer one, and matches duration so a change in the general level of rates does not drive profit or loss on its own.
Basis risk is the risk that the spread between the two instruments moves against the position even though both securities carry similar duration. A matched-duration hedge reduces first-order sensitivity to parallel rate changes. It does not remove basis risk.
Convertible arbitrage
A convertible bond is a bond that the holder can convert into a fixed number of common shares. When a convertible is priced cheaply relative to its components, roughly a straight bond value plus the value of the embedded conversion option, the manager buys the convertible and sells short the underlying common stock.
The short position hedges delta, the sensitivity of the convertible's price to a change in the stock price. This structure isolates the manager's view on the mispriced option and credit components while removing most directional equity exposure. Residual exposures include issuer credit risk, interest rate risk, and volatility risk, since the embedded option's value depends on implied volatility. The hedge also needs rebalancing as delta changes with the stock price, which creates ongoing transaction costs and timing risk.
Assess funding, liquidity, and nonlinear risk
Relative value trades depend on leverage because individual spreads are small, often a few basis points or a few percent of par. Managers borrow cash or securities to scale a small edge into a meaningful return. Leverage also scales losses when the spread moves the wrong way before convergence.
Funding risk is the risk that financing for the position is withdrawn or repriced before the trade converges. Repo financing and prime brokerage credit lines are typically short term and renew at the lender's discretion. If a lender raises margin requirements or declines to roll financing, the manager may be forced to sell into an illiquid market at a loss, even if the original pricing thesis is eventually proven correct.
Liquidity risk compounds funding risk. Many relative value positions, especially in convertible bonds and off-the-run fixed income instruments, trade in markets that thin out quickly during stress. A forced sale in a thin market pushes the price further from fair value, widening the very spread the manager expects to narrow.
Nonlinear risk arises because hedge ratios are not static. A convertible bond's delta changes as the stock price moves, so a hedge that was correct at initiation drifts out of balance as markets move. Model risk is the risk that the assumed relationship between the two instruments, or the assumed volatility used to value an embedded option, does not hold. Funding risk, liquidity risk, and model risk can each force a loss before the expected convergence occurs. This is the central exam point for this LOS.
Working Example
A fund buys Bond X and shorts Bond Y from the same issuer. Each leg has 50 million of market exposure, with matched modified duration of 5.0. X's yield spread is 100 basis points and Y's is 85, a 15-basis-point gap.
Assume the fund expects that relative gap to narrow to 5 basis points. The long bond is funded through repo; the short requires securities borrowing and collateral. The fund supports the combined book with 10 million of equity capital. This simplified setup does not treat both legs as identical repo loans.
Step 1: Interpret the expected convergence.
A 10-basis-point narrowing would approximately benefit the long-cheap, short-rich position, subject to duration and other assumptions. The trade targets the relative spread, not a prediction that both bond yields must reach one particular level.
Step 2: Assess an adverse interim move.
X's spread rises to 130 basis points and Y's to 95. The gap widens to 35 basis points, an adverse relative move of 20 basis points.
This approximate loss is 5% of the initial 10 million equity backing before carry, transaction costs, and nonlinear effects. It assumes matched first-order spread sensitivity and small changes.
Step 3: Trace the funding consequence.
The financing provider increases required collateral after the adverse marks. If the fund cannot supply cash, it must reduce or close positions. Selling the less-liquid long bond can realize the loss before the relative spread has time to narrow.
Interpretation. Eventual convergence does not guarantee that the investor can finance the trade until then. The matched-duration hedge reduces common-rate sensitivity, while relative spread movements and funding demands still affect the fund. Assess the convergence horizon and the financing horizon separately.
Common Exam Traps
Equating hedging with no residual risk
A hedge reduces exposure to the targeted common risk factor, such as interest rate level or equity direction. It does not remove basis risk, spread risk, or liquidity risk. The working example shows a fully hedged position losing money because the spread itself moved against the manager.
Ignoring funding maturity
Candidates often evaluate a trade only on its expected holding period and overlook that financing typically renews over shorter intervals. If financing cannot be rolled at an acceptable rate, the trade can be forced to close before convergence, regardless of the original timeline.
Assuming convergence occurs before a margin call
A sound convergence thesis does not guarantee enough time or capital to survive interim volatility. Margin calls are triggered by mark-to-market moves, not by whether the manager's ultimate view is correct.
Classifying by leverage alone
Leverage describes how much a position is scaled. It does not identify which strategy family a trade belongs to. Fixed income arbitrage and convertible arbitrage are distinguished by the securities and pricing relationship involved, not simply by the degree of leverage used.
Practice Question
A hedge fund manager holds a convergence trade that is long Bond X and short Bond Y, both issued by the same corporation with matched duration. The position is financed with short-term repo. Before the expected convergence date, the spread between Bond X and Bond Y widens sharply, and the repo lender issues a margin call requiring additional collateral within two days. The manager does not have sufficient unencumbered cash to meet the call.
Which risk most directly threatens the continuation of this trade?
Model risk, because the valuation model used to identify the mispricing may be only approximately correct
Market risk, because the duration-matched hedge failed to offset the change in the general level of interest rates
Funding liquidity risk, because the position may be forced to close before the spread converges
Correct Answer: C
The trade is duration matched and hedged against the common level of interest rates, so the immediate threat described is not the level of rates. The scenario is a margin call caused by inadequate financing to absorb a temporary widening of the spread. Funding liquidity risk is the risk that the manager cannot renew or post additional financing before the position has time to converge, forcing a sale at an unfavorable price.
Why Other Options Are Wrong
Option A: Model risk refers to the risk that the valuation relationship itself is wrong. The scenario gives no evidence that the pricing thesis is wrong, only that the position cannot survive the interim funding demand.
Option B: The position is duration matched, which hedges the common interest rate level risk between the two bonds. The scenario describes a spread widening and a margin call, which are funding and basis risk events, not a failure of the duration hedge.
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FAQs About Relative Value Hedge Fund Strategies
Why can relative-value trades fail before convergence?
The pricing relationship can still converge over time, but the trade may not survive long enough to realize it. Financing can be pulled, margin requirements can rise, and thin markets can force a sale at an unfavorable price, all before the expected convergence date.
What risks remain after a directional hedge?
A directional hedge reduces exposure to the targeted common risk factor shared by both securities, such as the general level of interest rates or the direction of the underlying stock. Basis risk, funding risk, liquidity risk, and model risk remain because the hedge does not address the spread itself or the manager's ability to finance the position.
Why is matched duration an incomplete hedge?
Duration approximates sensitivity to a small parallel rate move. Curve twists, convexity differences, credit spreads, and liquidity changes can affect the two legs differently. Rebalancing and financing terms also matter. A low initial rate sensitivity does not establish a low-risk trade.