An in-depth guide for CFA Level III candidates exploring how basis risk arises, how it impacts hedging with futures, and how spread strategies can mitigate that risk.
I remember chatting with a colleague a while back—she was frustrated because her interest rate hedge wasn’t performing the way she expected. She was using a Treasury futures contract to hedge a corporate bond portfolio, but her results were, well, kind of off. It turned out the culprit was basis risk: the credit spread on her corporate bonds moved differently than Treasury yields. In other words, the underlying bond and her hedging vehicle weren’t perfectly correlated, so the hedge left some risk on the table.
That little anecdote captures the essence of basis risk. Sometimes, the futures or forward contract you pick isn’t a carbon copy of the thing you’re trying to hedge—you know, differences in credit quality, index composition, forward settlement terms, or even timing. So let’s walk through how to understand and manage that pesky basis risk with futures, and then we’ll talk about how you can use spread strategies to profit from, or at least mitigate, those differences.
Basis risk is the possibility of imperfect offsetting gains and losses because the underlying asset (the one you’re actually exposed to) is not identical to the asset underlying your hedge. The “basis” is generally defined as:
$$ \text{Basis}(t) = S(t) - F(t) $$
where:
• \( S(t) \) = the spot (cash) price of the asset you own or are exposed to
• \( F(t) \) = the corresponding futures or forward price
In a perfect world, if your underlying risk exactly matched the risk of the futures contract you’re using, basis would remain constant (or be zero) and your hedge would be perfect. In the real world, though, basis can fluctuate for many reasons—credit spreads can change, the term structure of interest rates might shift, or correlations among equity indices can drift.
• Differences in Credit Quality or Spread: For example, using Treasury futures to hedge corporate bonds. If credit spreads between corporates and Treasuries widen or narrow, the futures might not move in lockstep with the underlying bond’s price.
• Differences in Index Composition: You might try to hedge a custom equity portfolio with an S&P 500 futures contract. If your portfolio’s sector weights or stock picks differ substantially from the index, your hedge will be imprecise.
• Delivery Options or Contract Specifications: Futures contracts can have delivery timing differences, grade/quality specifications (especially in commodities), or location differences (e.g., West Texas Intermediate vs. Brent crude for oil).
• Seasonal or Structural Differences: This is big in commodities. An agricultural commodity might be influenced by planting or harvest seasons, so one month’s contract may not be a perfect hedge for a different month’s physical delivery period.
I once tried to hedge a small basket of emerging market sovereign bonds with a more liquid U.S. Treasury futures contract. Initially, the correlation looked strong enough to be passable, so I ventured ahead. But, surprise: local economic developments in the emerging market region caused spreads to blow out, while long-dated U.S. Treasuries barely budged. It was an eye-opening introduction to the real meaning of basis risk—hedges can be “okay-ish” on paper but still come back to haunt you if conditions change.
Below is a simple Mermaid diagram to illustrate how basis arises as the difference between a spot price and the futures price:
graph LR A["Spot <br/>Market Price S(t)"] B["Futures <br/>Contract Price F(t)"] C["Basis <br/>B(t) = S(t) - F(t)"] A --> C B --> C
If \( S(t) \) and \( F(t) \) do not move in perfect harmony—as is often the case—\( B(t) \) will fluctuate. This fluctuation is precisely what we call basis risk.
Spread strategies are all about exploiting (or hedging) differences among related assets or among various contracts on the same underlying. The broad idea behind a spread is: go long one asset (or contract) and short another. If their prices converge or diverge in the way you anticipate, you profit—or at least reduce your net risk.
Below, we focus on the two major types of spread strategies often used to mitigate basis risk: intra-market spreads (within the same market) and inter-market spreads (across related markets). We’ll also touch on commodity spreads, which often revolve around differences in contract months for the same commodity.
An intra-market spread involves taking positions in the same underlying asset but in different contract months. For instance, you could buy a March S&P 500 futures contract and sell a June S&P 500 futures contract. This is also known as a calendar spread.
• Calendar (Time) Spread: You buy and sell futures on the same underlying but with different expirations. The payoff relies on changes in the term structure of futures prices. Maybe you expect the front-month futures to get stronger relative to the later-month ones.
Why might you do this? Often, it’s to hedge a partial exposure to short-term volatility while profiting from anticipated movements in the futures curve. It can reduce the dimension of risk if you believe the two maturities will move somewhat together, limiting your exposure compared to taking a purely directional position.
Inter-market spreads are formed by going long in one futures contract (say, the Euro Stoxx 50) and short in another (e.g., the FTSE 100). But you can only do this if the two underlyings are correlated or have a relationship you’re trying to exploit.
For example, if you expect Euro-area equities to perform better than U.K. equities, you might go long Euro Stoxx 50 futures and short FTSE 100 futures. If you’re correct, any outperformance of the Euro Stoxx relative to the FTSE 100 yields a potential positive spread return—even if the overall market for equities declines (both might go down, but the question is by how much). This is one way of neutralizing broad market exposure and focusing on a spread or relative value idea.
Commodity markets are infamous for supply-and-demand imbalances across different contract months or between closely related commodities. For instance, in crude oil, you might place a spread between West Texas Intermediate (WTI) and Brent futures if you anticipate a shift in the relative demand for the two benchmarks. Alternatively, a trader might do a “crack spread,” going long on crude oil futures and short on refined product futures (like gasoline or heating oil) to profit from changes in refining margins.
If you’re serious about controlling basis risk (and, quite honestly, who isn’t?), there are a few steps that typically help:
• Select High-Correlation Contracts: The single best way to minimize basis risk is to pick a futures or forward contract that tracks your underlying exposure as closely as possible. Do you hold an S&P 500–like portfolio? Then it probably makes more sense to hedge with S&P 500 futures than, say, NASDAQ-100 futures.
• Monitor and Adjust Hedge Ratios Dynamically: Basis can drift over time, so the hedge ratio that works today might be suboptimal in three weeks if the spread environment changes. Reviewing correlations and adjusting positions is essential.
• Be Aware of Seasonal or Structural Anomalies: Commodities and certain equity indexes can have strong seasonal patterns. For instance, agricultural commodities have harvest cycles, and certain equity indexes might have monthly or quarterly reconstitution effects that can cause short-lived distortions in price relationships.
• Use Spread Strategies to Hedge Out the “Wrong Risk”: If your main concern is credit spread movement, you might combine a long position in a Treasury futures contract (to hedge out the interest rate risk) with a short position in corporate bond spreads through a credit default swap index (CDX). That way, you’re specifically canceling out the “wrong” parts of risk.
While the simplest hedge ratio is typically computed by notional equivalence or duration equivalence (for bonds), the presence of basis risk often calls for a correlation-based approach:
$$ \text{Hedge Ratio} = \rho ; \frac{\sigma_S}{\sigma_F}, $$
where \( \rho \) is the correlation between your underlying asset \( S \) and the futures \( F \), and \( \sigma_S \) and \( \sigma_F \) are their respective standard deviations (volatilities). If the correlation is less than 1, you won’t perfectly hedge the position, but you’ll at least size your futures position in a way that recognizes the difference in price behavior.
Let’s consider a portfolio manager who invests in a broad array of investment-grade corporate bonds. The manager is worried about rising interest rates but doesn’t want to liquidate her corporate bond portfolio. Instead, she decides to use Treasury bond futures to hedge interest rate risk.
• Step 1: Estimate the correlation between the corporate bond portfolio’s returns and the returns on the chosen Treasury futures contract over the last few months (or years).
• Step 2: Calculate the duration of the corporate bond portfolio and the duration (or DV01) of the Treasury futures.
• Step 3: Compute the hedge ratio based on correlation, durations, and notional exposures.
• Step 4: Initiate the short position in Treasury futures.
Everything seems peachy at first. But then, a wave of credit fear hits the market, and corporate spreads widen. Because the hedge is in Treasury futures, the manager successfully hedges out some interest rate exposure, but the corporate bonds drop in price more than the Treasuries (thanks to the widening credit spread). This shortfall is precisely the basis risk leftover in the trade.
The manager can reassess the hedge ratio as the correlation changes; any new calculations might lead to scaling up or down the futures short or even layering in a credit spread hedge via a credit default swap index. That’s the dynamic process required to keep basis risk somewhat in check.
• Carefully Research Correlations: Don’t rely on a single historical correlation value. Examine correlation stability, seasonal patterns, and regime shifts (e.g., crisis vs. stable markets).
• Combine Different Derivatives: Sometimes a single future isn’t enough to cover all the risk factors. You might use a combination of interest rate futures, equity index futures, and credit default swaps to isolate and hedge the risk elements that matter.
• Stress Test Your Spreads: Perform scenario analyses to see how your hedge performs if, say, credit spreads blow out by 50 bps or if equity sector spreads change significantly.
• Keep an Eye on Roll Costs: If your hedge is long-term, you’ll have to roll your futures forward multiple times. Each roll can introduce new basis risk if the term structure changes or if liquidity conditions shift.
• Overconfidence in Steady Correlations: Correlations among markets are notoriously unstable, especially in times of crisis or stress. A hedge that worked in calm markets may fail dramatically in volatile conditions.
• Inadequate Monitoring: Basis risk changes over time, so a set-it-and-forget-it approach is dangerous.
• Overhedging or Underhedging: Getting the hedge ratio wrong—and letting it stay that way—gradually deteriorates performance.
• Ignoring Delivery Month Mismatches: If your underlying exposure has a different time horizon than the futures contract you’ve selected, you might wander into mismatched settlement timelines.
• Equity Macro-Hedge: You hold a diversified equity portfolio but want partial downside protection. You short an equity index future that correlates around 0.9 with your stocks. As the market falls, the future’s change partially offsets your losses, but if your portfolio has overweight exposures to small-cap or value stocks, that difference in factor exposures can leave some unhedged risk.
• Commodity Calendar Spread: You suspect that near-term demand for crude oil will spike, but longer-term demand looks weaker. You buy the front-month crude futures and short the longer-dated, creating a calendar spread. If near-term prices rally more than the far month, the spread benefits. However, if unanticipated supply disruptions hit both months equally, your spread might not pan out as expected.
• Currency Hedge in a Cross Rate: Suppose your base currency is the euro, but you have exposure to Swiss franc assets. You decide to hedge using euro/Swiss franc forwards. That’s straightforward. But if you mistakenly tried to use a euro/dollar forward to hedge your Swiss franc exposure, you’d have basis risk from the cross-currency mismatch (EUR/CHF isn’t perfectly correlated with EUR/USD, especially during times of financial stress).
For an in-depth discussion of how basis risk can creep into currency management, check out Chapter 3 on Currency Management—An Introduction. Also, if you want to see more on designing hedge ratios dynamically, Section 1.12 on Dynamic Hedging Techniques Using Options might be of interest. The interplay of basis risk is pervasive across derivative instruments, so the discussions in Swaps, Forwards, and Futures are just one piece of the puzzle.
In the CFA Level III exam, you might face constructed-response questions about how to hedge an equity or bond portfolio using futures, or item-set questions that highlight potential changes in credit spreads. Be ready to compute the hedge ratio taking into account correlation, or to discuss what basis risk remains if you’re using an imperfect hedge.
Time management matters: many of these scenarios require quick calculations, so you’ll want to be prepared to do the notional conversions and correlation-based adjustments rapidly. And if the exam scenario states that the correlation or spread has changed mid-hedge, you should note the need to rebalance or revise your position—don’t just assume you’re fully hedged for the entire horizon.
Above all, keep a critical eye on the mismatch between what your underlying risk actually is and what your hedge instrument covers. The difference—i.e., basis risk—should be recognized, measured, and managed on an ongoing basis.
• Kolb, R. “Futures, Options, and Swaps.”
• CFA Institute Level III Curriculum—Derivatives and Risk Management.
• Hull, J. “Options, Futures, and Other Derivatives.”
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