What are Contango and Backwardation?
By EC Assets Research Team · Published · Updated
Contango and Backwardation: The two shapes a futures curve can take. In contango later contracts cost more than nearer ones and a long roll bleeds; in backwardation they cost less and the roll pays. Over a year the effect dwarfs most views on the underlying price.
What the Two Shapes Are
A futures curve plots the price of the same contract across delivery dates. It takes one of two shapes.
Contango: later contracts trade above nearer ones. The curve slopes upward. Holding a long position means repeatedly selling the cheap expiring contract and buying the more expensive next one.
Backwardation: later contracts trade below nearer ones. The curve slopes downward, and the same roll is executed at a profit.
The shape is not a forecast. A curve in contango is not the market predicting higher prices; it is the market pricing the cost of carrying the asset until then. Reading curve shape as a price forecast is the single most common error around these terms.
How It Works
For a storable commodity the relationship is a no-arbitrage identity:
$$F = S \cdot e^{(r + u - y)T}$$
where $r$ is financing, $u$ storage and insurance, and $y$ the convenience yield — the benefit of holding the physical good rather than a promise of it. Contango is the normal state when carrying costs dominate. Backwardation appears when convenience yield dominates: when the physical asset is scarce today and users will pay to have it now.
The consequence for an investor holding futures rather than the physical asset is roll yield:
$$\text{roll yield} \approx \frac{F_{\text{near}} - F_{\text{far}}}{F_{\text{far}}}$$
per roll period, negative in contango and positive in backwardation.
What a persistent curve costs or pays
| Curve | Front | Next month | Per roll | Annualised |
|---|---|---|---|---|
| Steep contango | 100 | 102 | −1.96% | −21.1% |
| Mild contango | 100 | 100.5 | −0.50% | −5.8% |
| Flat | 100 | 100 | 0% | 0% |
| Mild backwardation | 100 | 99.5 | +0.50% | +6.2% |
| Steep backwardation | 100 | 98 | +2.04% | +27.4% |
Monthly rolls, compounded over twelve. A steep contango costs more than a fifth of the position a year before the underlying price has moved at all.
Worked Example
An investor holds a long position through a market in persistent contango: the front contract trades at 100, the second month at 102. Each month the expiring contract is sold and the next bought, losing roughly 1.96 percent of the position.
Compounded across twelve rolls that is about −21 percent a year. For the position to break even, the spot price must rise by more than a fifth. An investor who was right about direction and modestly so still loses.
This is the arithmetic behind the long-run behaviour of commodity index products and of volatility exchange-traded products. VIX futures spend most of their time in contango, which is why long VIX products decay relentlessly in calm markets — the decay is not a fee or a flaw in the product, it is the curve being paid for month after month.
When It Applies (and Limitations)
Curve shape is not stable. It flips. Energy markets move between the two states with supply conditions, and a strategy sized for one regime is exposed in the other. Roll yield earned for years can be surrendered in weeks.
Backwardation is not free money. A curve in backwardation usually reflects genuine present scarcity, which carries its own risk: the same tightness that pays the roll can reverse abruptly when supply arrives.
Spot is often not investable. For commodities, holding the physical asset means storage, insurance and delivery logistics. The futures position with its roll cost is not an inferior version of a spot position — for most investors it is the only version.
Roll mechanics are gameable. Index roll dates are published and predictable, and the resulting flow is front-run. Strategies that roll off-cycle or across the curve exist specifically to avoid paying that.
Keynes' normal backwardation is a theory about risk premia, not about curve shape. It argues that hedgers pay speculators to bear price risk, which should bias futures below expected spot. Whether that premium exists in modern markets is contested, and it is a different claim from the observed slope on any given day.
Why It Matters for Institutional Investors
Roll yield dominates commodity index returns. Over multi-year horizons the accumulated roll frequently exceeds the contribution from spot price changes, which means the curve is the investment decision as much as the commodity is.
Volatility products live and die by it. Any long exposure to VIX futures is paying contango in normal regimes and collecting backwardation in stressed ones. That asymmetry is the entire economics of the instrument and is invisible in a spot VIX chart.
Managed futures trade the shape directly. Carry strategies go long backwardated curves and short contangoed ones across markets, which is a distinct return source from trend following on the price itself.
Benchmarks embed roll assumptions. Two commodity indices with the same constituents can differ by several percent a year purely through roll schedule. Comparing a manager to the wrong one attributes curve mechanics to skill.
References
- Hull, J. C. (2021). Options, Futures, and Other Derivatives (11th ed.). Pearson.
- Keynes, J. M. (1930). A Treatise on Money, Vol. II. Macmillan.
- Gorton, G., & Rouwenhorst, K. G. (2006). Facts and Fantasies about Commodity Futures. Financial Analysts Journal, 62(2), 47–68.
- Erb, C. B., & Harvey, C. R. (2006). The Strategic and Tactical Value of Commodity Futures. Financial Analysts Journal, 62(2), 69–97.
Frequently asked questions
Does contango mean the market expects prices to rise?
No, and this is the most common misreading. The upward slope prices the cost of carrying the asset to the later date - financing, storage, insurance - net of the convenience yield of holding it now. A curve in steep contango is a statement about carrying costs and present abundance, not a forecast.
How much does contango actually cost?
More than most investors expect. A front contract at 100 against a next month at 102 costs 1.96 percent per roll, which compounds to roughly 21 percent over twelve monthly rolls. The spot price has to rise by more than a fifth for the position simply to break even.
Why do long VIX products lose value over time?
Because VIX futures are in contango most of the time and those products roll continuously. The decay is the roll being paid, not a fee or a design defect. In stressed markets the curve inverts into backwardation and the same mechanic works in the holder's favour - which is why these instruments behave as short-horizon hedges rather than long-term holdings.
Is backwardation a good thing to be long?
It pays the roll, which is genuinely valuable, but the shape usually reflects real present scarcity. The conditions that create it - supply disruption, inventory shortage - can reverse quickly, and the roll yield disappears with them. Positive carry and low risk are not the same thing.
What is convenience yield?
The benefit of holding the physical asset rather than a contract for future delivery: a refinery with crude in a tank can keep running, and one with a futures contract cannot. When that benefit exceeds carrying costs, the futures curve slopes downward. It is not directly observable and is usually inferred as the residual that makes the no-arbitrage relationship hold.
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