Discount (Futures)
In futures markets, a discount refers to the condition in which a futures contract trades below the current spot (cash) price of the underlying asset, implying that the futures price is at a discount to the cash market. This below-spot pricing condition—also called backwardation in commodity futures or a negative basis in financial futures—typically occurs when the cost of carry is negative or when near-term supply constraints create strong immediate demand for physical delivery.
Key takeaways
- A futures discount (backwardation) occurs when futures prices are below spot prices, creating a downward-sloping futures curve; contango is the opposite condition where futures trade at a premium to spot.
- Commodity futures most commonly trade at a discount when there is a current shortage of the physical commodity—holders of spot goods receive a 'convenience yield' that makes owning spot preferable to holding futures.
- In financial futures, a discount to spot (negative basis) can arise when dividend yields on the underlying index exceed the risk-free rate, as in equity index futures: Fair Value = Spot × (1 + r - d)^T, which falls below spot when d > r.
- Backwardated commodity markets provide roll yield for long commodity futures investors: as near-dated contracts expire at higher prices than the next deferred contract, rolling from front to back generates a positive P&L contribution.
- The transition between discount and premium states (between backwardation and contango) reflects fundamental shifts in storage costs, supply/demand dynamics, and convenience yield, making the term structure a critical trading signal for commodity investors.
Explanation
The discount condition in futures markets is one of the most important empirical relationships in commodity and financial economics, directly linked to the fundamental theory of storage, cost of carry, and the economics of physical commodity ownership. Understanding when and why futures trade at a discount to spot is essential for commodity traders, hedgers, and macro investors who use futures as investment and risk management vehicles.
In commodity markets, the theoretical relationship between spot and futures prices is governed by the cost-of-carry model: F = S × e^(r + u - y)T, where r is the risk-free rate, u is the storage cost, and y is the convenience yield. When the convenience yield (y) exceeds the carrying costs (r + u), the futures price falls below the spot price—a discount condition, also known as backwardation. The convenience yield represents the implicit benefit from physical possession of the commodity: a refiner holding crude oil can run its refinery at full capacity regardless of spot market disruptions, while a futures position offers no such operational flexibility. During supply crunches, hurricanes disrupting Gulf of Mexico oil production, or freight logistics crises, convenience yields spike dramatically, driving deep backwardation.
Historically, energy markets exhibit persistent backwardation during periods of tight supply. WTI crude oil traded in steep backwardation from 2021-2022 as post-COVID demand recovery outpaced supply restoration, with the front-month contract trading $10-15/barrel above the 12-month forward contract. This backwardation structure provided substantial roll yield to long oil futures investors (rolling from an expiring contract priced high to a cheaper deferred contract) while reflecting genuine scarcity in physical markets.
In financial futures markets, the discount condition takes on different characteristics. Equity index futures trade at a discount to spot when dividend yields exceed interest rates—the cost-of-carry model for equity futures implies a discount when dividends expected during the futures life are large relative to financing costs. Treasury bond futures price at a discount to the theoretical spot price primarily through the quality and timing delivery options held by the short position (the CTD bond option and wild-card option).
For arbitrageurs and basis traders, the discount condition creates specific trading opportunities. When futures trade below fair value (deeper discount than cost-of-carry justifies), a cash-and-carry arbitrage is no longer profitable; instead, a reverse cash-and-carry (selling spot, buying futures) becomes attractive, with profits locked in from the convergence of futures to spot at expiration. In commodity markets with limited short-selling of physical goods, this reverse arbitrage is often difficult to execute, allowing discounts to persist for extended periods—explaining why commodity backwardation can be both deep and durable.
Formula
Futures Discount = Spot Price - Futures Price; Fair Value (Cost-of-Carry): F = S × e^(r + u - y)T; Backwardation when y > r + u (convenience yield exceeds carrying costs)
Example
In September 2021, WTI crude oil spot prices were trading at approximately $75/barrel while the December 2021 WTI futures contract traded at $72.50/barrel and the December 2022 contract was at $65.50/barrel—a deeply backwardated term structure reflecting tight near-term supply. An energy hedge fund implementing a long crude oil strategy explicitly targets backwardated markets: by holding long futures positions and rolling monthly from the expiring front-month contract to the next month (buying at $72.50 and rolling into contracts that, as they become front-month, are expected to trade near spot), the fund earns approximately $2.50/barrel per monthly roll—representing an annualized roll yield contribution of roughly 40% (12 × $2.50 / $75 spot). The total return combines the spot price appreciation (or decline), the roll yield, and any collateral return on the margin posted, illustrating why backwardated commodity markets are generally more favorable for long commodity strategies than contangoed ones.
Related terms
Arbitrage Backwardation Basis Bond Convergence Cost Of Carry Delivery Diagonal Spread Dividend Embedded Derivative Equity Equity Index