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CAIA® commodities: why can forwards differ from spot?

Physical inventory has costs and an immediate-use benefit. Learn how financing, storage and convenience yield shape commodity forwards in a worked calculation.

ConceptOmni Curriculum Team7 min read

Sacks of grain and plain metal storage containers sit in a warehouse beside a loading area.
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Physical inventory gives a commodity user immediate access to material; a forward contract gives a price for later delivery. The difference matters because storing the material costs money, while having it ready can prevent an expensive interruption. For CAIA® Level I, read a forward curve as the result of financing, storage and the benefit of possession, then test whether the curve alone can support the conclusion you are tempted to draw.

What ownership supplies that a forward does not

A manufacturer with raw material in its warehouse can use it now if a shipment is delayed. A holder of a forward contract has a contractual claim for delivery at a specified future date, subject to the contract and counterparty arrangements; it cannot normally feed today's production line with that promise. Economists call the operational benefit of accessible inventory convenience yield. It is a benefit that may be especially valuable when stocks are scarce. The CFA Institute commodity overview places spot and futures trading alongside the theory of storage. The CAIA Association's curriculum information confirms that candidates should use the curriculum appropriate to their exam year, because details change.

Possession also creates work. Material has to be transported, insured and stored; some goods spoil or suffer shrinkage. Cash committed to inventory cannot simultaneously be used elsewhere without financing. A commodity future or forward can provide price exposure without requiring the investor to run a warehouse, although contract terms, margin or counterparty arrangements create their own practical demands. A physical user may rationally accept carrying costs in exchange for reliable supply; a financial investor without that use may find the same inventory unattractive. The benefit is participant-specific, so it should not be treated as an identical cash coupon available to every holder.

Build the forward relationship

Start with an asset that can be bought now and stored until the forward delivery date. Buying it today and carrying it forward incurs a financing cost and physical storage expenses. If holding it during the interval delivers a genuine convenience benefit, that benefit offsets part of the burden of carrying it. In a simplified continuous-rate model, the fair forward price is today's spot price multiplied by the exponential of net carry over the holding period. The model assumes comparable commodity quality, location and delivery terms, and stable rates for the interval. It is a framework for isolating forces, not a guarantee that observed quotes will fit perfectly.

F(T)=S0e(r+c−y)TF(T)=S_0 e^{(r+c-y)T}
A simplified commodity forward price: spot price S, financing rate r, proportional storage cost c, convenience yield y and time T.

The signs are the first exam check. Higher financing cost raises the cost of buying and holding now. Higher storage cost also tends to lift a later-delivery forward price relative to spot. Higher convenience yield makes ownership more valuable today, so it pulls the forward price down relative to the spot price. If the combined financing and storage burden exceeds convenience yield in this simplified setting, the forward lies above spot; if the convenience benefit dominates, it can lie below spot. These are statements about current prices for different delivery dates, not direct forecasts of where spot prices will go.

The CFA Institute refresher reading identifies contango when spot is below futures and backwardation when spot is above futures, and notes that those words also describe relative prices along a futures curve. Be clear about the comparison being used. A curve can compare today’s spot with one maturity or compare two futures maturities. A quote from a different grade or delivery location is not automatically a point on the same curve. Basis conventions also vary; state whether your basis means spot minus forward before interpreting its sign.

A worked inventory decision

Take an invented, storable commodity quoted at 100 monetary units per unit today. Suppose financing costs are 4 units and storage and insurance cost 3 units over one year, expressed as simple amounts for this illustration. If there is no value to immediate possession, the simple full-carry comparison is 107 for delivery in a year. Now suppose a commercial user values the ability to avoid disruption during that year at 5 units per unit. A simplified net-carry comparison is 102. The calculation is 100 plus 4 plus 3 minus 5. These amounts are invented teaching inputs, not observed prices or a recommendation to trade.

If the observed one-year forward in that same illustrative setup were 102, an analyst might infer an inventory benefit of about 5 after accounting for the specified financing and storage costs. That inference depends on the assumptions being reasonable and the cash and forward positions being comparable. It does not establish that every market participant personally earns 5. A factory facing a stoppage may value inventory highly; a distant financial investor may not. Equally, the observed price could reflect local delivery constraints, quality differences, market power or imperfect access to storage. The inferred yield is a residual within a model, not a separately invoiced cash payment.

Test a change in conditions. If storage becomes more expensive while the convenience benefit stays fixed, net carry increases and the forward price tends to rise relative to spot. If an unexpected shortage makes immediate access much more valuable while other inputs stay fixed, convenience yield rises and a nearby forward can fall relative to spot. Real market variables rarely stay fixed one at a time, so an observed price change cannot by itself reveal which input moved. This is why the model is most useful as a diagnostic checklist rather than as a one-factor prediction engine.

Why the curve can resist simple arbitrage

A forward quote above the cost of buying, storing and financing equivalent physical goods can attract a cash-and-carry trade if traders can actually buy, store and deliver them. The opposite trade may require borrowing or shorting the physical commodity, which can be difficult or impossible. Storage capacity may be scarce just when inventories are valuable; delivery locations and quality may also differ. Research published through the CFA Institute Research Foundation discusses how convenience yield and these physical frictions complicate spot–futures relationships. A candidate should therefore distinguish a clean textbook replication from a market where replication is constrained.

Do not read backwardation as proof that the market expects a permanent rise in price or that a long futures strategy must profit. The current forward quote, the future spot price, and an investor's realised return are different objects. A forward's price can converge towards spot as delivery approaches while the entire curve also moves because new information arrives. The CFA Institute commodity reading separates spot return, roll return and collateral return for a fully collateralised futures position. That decomposition helps explain why today's curve slope alone does not determine total realised return.

A related mistake is to locate roll return entirely at the moment one contract is sold and another bought. Rolling changes which maturity the investor holds; the price difference between contracts reflects their different delivery dates and carry conditions. Gains and losses arise as held contracts change value over time, including convergence and shifts in the curve. When explaining a rolling position, keep a timeline: initial contract price, its later price, the close, the new contract price and the collateral return if the position is fully funded. This avoids treating the price paid for a later contract as an immediate loss in isolation.

What to do with a question on the exam

First identify the commodity, grade, location and maturity. Next ask whether the actor physically uses the material or merely wants price exposure. List financing, storage and the potential benefit of immediate possession, keeping units consistent. Compare those items with the spot–forward difference, then state the assumption needed to infer a convenience yield. Finally separate a price relationship from a return claim. If a question describes low inventories and disruption risk, the operational benefit of possession may be the missing term; if it describes abundant stocks, carrying costs may dominate. Neither conclusion should be imposed without the case details.

This focus differs from choosing among physical commodities, futures and funds as investment vehicles. Here the reader's problem is to explain why physically held inventory and a promise of later delivery can carry different prices even for the same underlying good. The CAIA programme page locates the subject within alternative investments, while the Omni methodology page offers a way to revisit the reasoning. Rebuild the invented 100-unit example with a higher storage cost or a larger convenience benefit and explain the direction before doing the arithmetic.

The usable mental model

Physical ownership is costly but can be operationally useful. A forward postpones delivery and embeds the economics of financing, storing and forgoing immediate use. The observed curve reflects those economics plus real-world frictions and expectations; it is not a standalone forecast or a promised return. On a first encounter, anchor your answer in who can actually use the inventory, then move through the carry terms and only then interpret the curve's slope.

Sources

  1. Curriculum & Study Tools · caia.org · Retrieved
  2. Introduction to Commodities and Commodity Derivatives · cfainstitute.org · Retrieved
  3. The Fundamentals of Commodity Futures Returns · rpc.cfainstitute.org · Retrieved
  4. Expected Returns on Major Asset Classes · rpc.cfainstitute.org · Retrieved

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Educational content, not investment advice. This article is written to help candidates prepare for professional exams. It is not a recommendation to buy, sell or hold any security, and it does not take your personal circumstances into account.

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