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CFA Level I Exam · Hedge Funds

Relative Value Hedge Fund Strategies for CFA Level I

Updated 7 October 2026 · Fact-checked

Relative value strategies buy one security and sell a related one to profit when a pricing gap between them closes. The main types are fixed-income arbitrage, convertible arbitrage and volatility arbitrage. Returns come from convergence, not market direction, so funds often use leverage. To solve questions, identify the long leg, the short leg, the mispricing and the main risk.

Understand Relative Value Hedge Fund Strategies

A relative value strategy does not bet that the market will rise or fall. It bets that the price gap between two related securities is too wide or too narrow, and that the gap will return to its normal level. The manager buys the cheap security and sells short the expensive one. If the gap closes, the manager profits whichever way the market moves.

Because the two legs offset each other, market risk is small. The profit per trade is usually also small. To make this worthwhile, many relative value funds use leverage. This is the key weakness: if the gap widens instead of closing, leveraged losses can be large. Positions are often in less liquid securities, so exiting in a crisis can be costly.

Fixed-income arbitrage exploits pricing differences between related fixed-income securities. Examples are a bond versus a similar bond, or a bond versus a bond futures contract. A common trade is long a cheaper bond and short a similar, richer bond or a related derivative. Managers often hedge duration and yield curve exposure so that the trade depends on the spread alone. Risks include spread widening, liquidity drying up and funding costs rising.

Convertible arbitrage is usually long a convertible bond and short the issuer's common stock. The convertible contains an embedded call option on the stock. The manager believes the option is underpriced. The short stock position hedges the equity exposure, often using a delta-based hedge ratio. The manager earns the bond's coupon, interest on the short sale proceeds, and gains from stock volatility, because rebalancing the hedge buys low and sells high. Risks: the credit spread widens, the stock is hard to borrow, or implied volatility falls.

Volatility arbitrage trades volatility itself. The manager compares implied volatility from option prices with the volatility they expect the underlying to realize. If implied is too high, they sell options. If it is too low, they buy options. Usually the position is delta-hedged so that exposure to the direction of the underlying is removed. Profit depends on volatility, not on price direction. The risk is that volatility moves against the view, and short-option positions can lose heavily in a spike.

Across all three, remember the pattern: long and short related positions, small market exposure, reliance on convergence, use of leverage, and tail risk when liquidity vanishes.

Key formulas to remember

Relative value trade structure
Long underpriced security + Short overpriced related security → profit if the spread converges
Profit depends on the spread, not the market direction. This is the core idea behind all three strategies.
Convertible arbitrage position
Long convertible bond + Short issuer's common stock (hedge ratio based on delta)
The convertible embeds a call option on the stock. The short stock hedges the equity exposure.
Volatility arbitrage rule
Implied volatility > expected realized volatility → sell options; implied volatility < expected realized → buy options
Usually delta-hedged so the position is not a directional bet.
Fixed-income arbitrage rule
Long cheap fixed-income security + Short rich related security or derivative, often duration-neutral
Exposure is to the spread. Leverage amplifies losses if the spread widens.

How to solve Relative Value Hedge Fund Strategies questions

Use the same sequence for any question on relative value strategies.

  1. 1Name the strategy from the securities involved: bonds or bond futures suggest fixed-income arbitrage, a convertible plus stock suggests convertible arbitrage, options traded on volatility views suggest volatility arbitrage.
  2. 2Identify the two legs: what is bought (long) and what is sold short.
  3. 3State the mispricing: which security is cheap, which is rich, or whether implied volatility is too high or low.
  4. 4Decide how the profit is earned: convergence of the spread, option value, coupon, or realized volatility.
  5. 5Check what is hedged: market direction, duration, or delta. The result then depends on the remaining spread or volatility view.
  6. 6Identify the main risk: spread widening, leverage and margin calls, liquidity, short-sale constraints, or volatility moving the wrong way.
  7. 7Eliminate options that describe directional bets or that describe a different strategy.

Quickest way: Match strategy to position in ten seconds

When to use it: Use it on standalone three-option questions that ask you to identify a strategy, its long and short legs, or its main risk.

  1. Spot the keyword: convertible, implied volatility, yield curve, bond futures.
  2. Convertible means long convertible, short stock. Volatility arbitrage means trade implied against expected volatility. Fixed-income arbitrage means exploit pricing between related bonds.
  3. Cross out any option that relies on market direction or ignores leverage.
  4. Pick the remaining option and check it for the risk of leverage or liquidity.

Common mistakes in Relative Value Hedge Fund Strategies

  • Saying convertible arbitrage is long stock and short the convertible bond.

    Students forget the convertible contains a call option that is considered underpriced.

    Fix: Remember: long the convertible (cheap option), short the stock to hedge.

  • Treating relative value strategies as directional bets.

    Students mix them up with equity long/short or macro strategies.

    Fix: Ask whether profit depends on market direction. In relative value, it depends on spread convergence or volatility, with direction hedged.

  • Calling these strategies risk-free because they are 'arbitrage'.

    The word arbitrage suggests a guaranteed profit.

    Fix: These are statistical or model-based trades. Spreads can widen, and leverage and illiquidity can cause large losses.

  • Buying options when implied volatility is higher than expected realized volatility.

    Students reverse the logic of cheap versus expensive.

    Fix: High implied volatility means options are expensive, so sell them. Low implied means options are cheap, so buy them.

  • Ignoring leverage as a defining feature.

    Small spread profits seem harmless, so students overlook how funds enlarge them.

    Fix: Link small expected returns per trade to leverage, and link leverage to the risk of forced liquidation.

Worked examples

Example 1

A hedge fund buys a convertible bond issued by Company X and sells Company X's common stock short in proportion to the bond's equity sensitivity. The manager believes the embedded option is underpriced. Which strategy is this, and what is the main reason for the short position? A. Convertible arbitrage, to hedge equity price exposure. B. Volatility arbitrage, to profit from falling stock prices. C. Fixed-income arbitrage, to hedge duration only.

Show the solution
  1. Long convertible plus short stock of the same issuer is the standard convertible arbitrage structure.
  2. The convertible contains a call option on the stock, believed to be underpriced.
  3. The short stock offsets the equity exposure of that option, so the fund is not betting on the stock's direction.
  4. Option B is wrong because the short is a hedge, not a bet on falling prices. Option C is wrong because the hedge is for equity risk, not only duration.

Answer: A

Example 2

A manager observes that implied volatility on options for an index is well above the volatility she expects the index to realize. She wants to profit without taking a view on index direction. Which approach is most consistent with volatility arbitrage? A. Buy the options and delta-hedge. B. Sell the options and delta-hedge. C. Buy the index outright.

Show the solution
  1. Implied volatility above expected realized volatility means the options are expensive.
  2. Sell what is expensive, so she sells the options.
  3. Delta-hedging removes directional exposure, leaving a volatility bet.
  4. Option A buys expensive options. Option C is a directional position.

Answer: B

Exam tips

  • Questions often ask you to match a strategy to its long and short positions. Memorize: convertible arbitrage is long convertible, short stock.
  • Expect risk questions. The best answers mention leverage, liquidity, spread widening or short-sale constraints, not market direction.
  • With three options and no penalty, eliminate any answer that describes a directional or unhedged bet and choose between the rest.
  • Do not confuse volatility arbitrage with buying options for protection. The key is comparing implied and expected realized volatility, usually with delta hedging.

Practice questions from Hedge Funds

Relative Value Hedge Fund Strategies in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Relative Value Hedge Fund Strategies: frequently asked questions

What are relative value hedge fund strategies?

They are strategies that buy one security and sell a related one to profit when a price gap closes. The three main types for Level I are fixed-income arbitrage, convertible arbitrage and volatility arbitrage. Market direction is mostly hedged away.

How does convertible arbitrage work?

The manager buys a convertible bond and shorts the issuer's common stock. The convertible contains a call option that the manager believes is underpriced. The short stock hedges equity exposure, and profit comes from the option's value, the coupon and stock volatility.

Why do relative value funds use leverage?

The profit on each trade is usually small because the pricing gap is small. Leverage enlarges that return. It also enlarges losses, so a widening spread or a liquidity shock can be severe.

Is fixed-income arbitrage risk-free?

No. It depends on spreads between related securities converging. Spreads can widen for long periods, funding can become costly, and positions may be hard to sell in stress.