Markets
Contango and backwardation
Contango and backwardation name the two possible shapes of a commodity futures curve, one in which later delivery months are dearer than nearer ones and one in which they are cheaper, and the shape determines what it costs or pays to carry an exposure past an expiry rather than predicting where the price will go.
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One commodity, many prices
A commodity does not have a price. It has a set of prices, one for each date on which it can be delivered. The price for immediate delivery is the spot price, and alongside it a market quotes a price for delivery next month, the month after, and so on out along a listed strip. Plotted against their delivery dates, those prices form a curve, and the shape of that curve is a separate piece of information from the level of the prices in it.
Key term
- Spot price
- The spot price is the price for immediate delivery, settled on the market's standard short value date, as distinct from a price agreed today for delivery on some later date.
Two names describe the two possible shapes. A curve in contango slopes upward: each successive delivery month costs more than the one before it. A curve in backwardation slopes downward: the nearest months are the dearest, and delivery further out costs less. The terms are old market usages rather than technical constructions, and they describe the relationship between dates and nothing else. A market in contango can be rising, falling or flat, and so can a market in backwardation.
Key term
- Contango
- Contango describes a futures curve in which later delivery months cost more than nearer ones, a shape normally explained by the storage, insurance and financing of holding the physical asset.
Why a curve normally slopes upward
The explanation for contango is arithmetic rather than psychological. Somebody who buys a physical commodity today and holds it until a later date incurs three costs: storage, insurance and the funding of the capital tied up in the goods. A buyer indifferent between taking delivery now and taking delivery later will pay more for the later date by roughly the sum of those costs, because that is what the seller has to spend to bridge the gap. The sum is called the cost of carry, and it is the natural width of a contango.
Key term
- Cost of carry
- Cost of carry is the net cost of holding something over time: financing, storage and insurance on one side, any income or convenience the holding yields on the other.
The relationship is enforced by arbitrage rather than by convention. If the later month were priced above spot by more than the full cost of carrying the goods, a participant with access to storage and funding could buy the physical commodity, sell the later contract, store the goods and lock in the difference. That trade is available to anyone with a warehouse and a credit line, so the gap does not usually widen much beyond the cost of the trade. Where it does, the binding constraint is normally that storage capacity is physically full, which is exactly the condition under which deeply oversupplied energy markets have produced extreme curve shapes.
Cost of carry as the natural width of a contango
- Assumed spot price per unit
- 80.00
- Assumed annual funding rate
- 5.00%
- Funding cost over three months
- 80.00 × 5.00% × 0.25 = 1.00
- Assumed storage and insurance, per unit per quarter
- 0.60
- Total carry over three months
- 1.00 + 0.60 = 1.60
- Implied price for delivery in three months
- 80.00 + 1.60 = 81.60
Every input is an assumption chosen to keep the arithmetic legible, not a YAL rate, price or term. The result is an implied relationship between two dates under those assumptions; the observed price for a later month reflects the market's own balance of storage availability, funding and physical demand, and differs from it routinely.
Why a curve sometimes slopes downward
Backwardation is harder to explain by arithmetic, because a negative cost of carry is not physically possible. The standard explanation is the convenience yield: a benefit that accrues from actually holding the physical good rather than a claim on it later. A refinery with crude in its tanks can keep running through an interruption. A manufacturer with metal on site does not stop its line. That benefit has a value, and when scarcity is acute the value of having the good now exceeds the cost of storing it, so nearby prices trade above later ones.
Backwardation is therefore the market's characteristic shape when physical supply is tight, and it tends to be steepest at the front of the curve, where the scarcity is most acute, flattening further out where the market expects conditions to have normalised. That last clause is where a genuine analytical disagreement lives, and it is set out below rather than resolved.
The roll, where curve shape becomes a real cost
A futures contract has a last trading day. An exposure that is meant to persist beyond it cannot simply continue; the expiring contract is closed and an equivalent position is opened in a later month. That transfer is the roll, and its economics are set entirely by the shape of the curve. In contango the later contract costs more than the one being closed, so maintaining the same exposure requires paying up, and the position is worse off by the difference before the price of the commodity has done anything at all. In backwardation the later contract is cheaper, and the transfer is a credit on the same terms.
Key term
- Rollover
- Rollover carries a position past a date it would otherwise settle on: nightly, by moving a spot position's value date forward and applying a financing adjustment, or at expiry, by replacing an expiring contract with the next delivery month.
The cost of a roll in a contango curve
- Price of the expiring contract
- 80.00
- Price of the next listed contract
- 81.60
- Difference per unit
- 81.60 - 80.00 = 1.60
- Difference as a share of the expiring price
- 1.60 ÷ 80.00 = 2.00%
- Effect over four such quarterly rolls, ignoring compounding
- 4 × 2.00% = 8.00%
- Spot price after a year at which a continuously held long exposure has broken even, ignoring compounding and costs
- 80.00 × 1.08 = 86.40
All prices are assumptions chosen to keep the arithmetic legible, not YAL prices or terms, and a real curve is not evenly spaced or stable across a year. The final row is arithmetic under those assumptions, not an expectation about any commodity. Spread, commission and any financing adjustment are excluded, and each of them would move the figure further.
The final row is the practical content of the whole subject. Under a persistent contango, an exposure held continuously through several rolls requires the spot price to have risen by the accumulated roll cost simply to break even, and that requirement exists independently of any view about the commodity. This is the documented reason that long horizon holdings in continuously rolled commodity products have at times diverged substantially from the spot price of the commodity they track, and it is the first thing to check before comparing a chart of spot prices with the record of an instrument that rolls.
How a CFD inherits the curve
Contracts for difference on commodities are written in two forms and the curve reaches both, by different routes. A dated instrument references a specific delivery month and inherits its last trading day: on the stated date it is closed at the prevailing price or rolled into the following contract, and the date is published in the instrument's specifications rather than chosen by either party. Where a roll occurs, the price gap between the two months appears as a step in the quoted price, and providers ordinarily apply a corresponding cash adjustment so that the step itself does not create or destroy value in an open position.
Key term
- Expiry date
- An expiry date is the day a dated contract ceases to exist, on which any position still open is settled at a final price or rolled into the next contract month.
A continuous instrument has no stated expiry and quotes a single ongoing price, but the underlying exposure still has to be moved between delivery months, so the economics of the roll are applied instead as an adjustment while the position remains open. The two designs differ in presentation rather than in substance: in neither case does the curve go away, and in both cases the cost or credit accrues to the party holding the exposure. A position held past the daily cut off additionally carries a financing adjustment for as long as it stays open, which is a separate line from the roll.
The practical consequence is that the horizon over which a commodity exposure is held changes what it costs, and does so through a mechanism that has nothing to do with the direction of the price. A position closed within a session is unaffected by the curve. A position carried across several delivery months is exposed to it repeatedly, and in a steep contango that exposure can be a substantial share of the position's value over a year.
Why a curve is not a forecast
The most common misreading of a futures curve is to treat the price of a distant month as the market's expectation of where the spot price will be on that date. It is not. The distant price is where a trade can be agreed today for that date, and it is bounded by arbitrage against storage and funding costs rather than by anybody's opinion. An upward sloping curve in a storable commodity is the normal state of affairs and says nothing about direction, which is why a headline describing contango as a bullish forecast is describing the wrong thing.
There is a genuine and unresolved argument underneath this, and a reader will meet both sides of it. One tradition holds that a futures price is an unbiased estimate of the future spot price, so any systematic difference between them should not persist. Another, older tradition holds that hedgers with physical exposure are structurally willing to accept a worse price in order to transfer risk, so the price of a distant contract carries a persistent premium or discount that compensates whoever takes the other side. The empirical evidence supports each account in different commodities and different periods, which is why the disagreement has not resolved, and why any statement that a curve shape reliably predicts anything should be treated as a claim requiring evidence rather than as an established fact.
Key term
- Open interest
- Open interest is the number of futures or options contracts opened and not yet closed, offset or delivered, counted once for each contract rather than once for each side.
In summary
- A commodity has one price per delivery date, and the curve those prices form is information separate from their level.
- Contango, where later months are dearer, is the normal shape for a storable commodity and is explained by storage, insurance and funding costs, bounded by arbitrage.
- Backwardation, where nearer months are dearer, reflects the value of holding the physical good during scarcity, and is the characteristic shape of a tight market.
- The roll converts curve shape into a real cost or credit on any exposure carried past an expiry, independently of the direction of the price.
- A distant futures price is a tradeable price for a date, not a forecast of the spot price on that date, and whether curve shape carries predictive information is genuinely unsettled.
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