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5.3 Commodities Markets, Contango & Backwardation
CAIA Level 1 Exam
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1 Introduction & Exam Overview
CAIA Level I Exam Overview & Facts
2 Chapter 1: Professional Standards and Ethics
1.1 CAIA Code of Ethics & Professional Conduct Fundamentals 1.2 Code Principles & Standards of Conduct 1.3 Material Nonpublic Information & Misconduct
3 Chapter 2: Introduction to Alternative Investments - Foundations
2.1 Alternative Asset Classes & Unique Characteristics 2.2 Fund Structures & Governance Mechanics 2.3 Quantitative Performance Metrics
4 Chapter 3: Introduction to Alternative Investments - Manager Selection & Risk
3.1 Benchmark Selection & Public Market Equivalent (PME) 3.2 Fee Mechanics, Hurdle Rates & Waterfall Distributions 3.3 Operational Due Diligence (ODD) & Risk Frameworks
5 Chapter 4: Real Assets - Real Estate
4.1 Real Estate Investment Strategies & Categories 4.2 Real Estate Valuation, Cap Rates & NOI 4.3 Publicly Traded & Private REITs
6 Chapter 5: Real Assets - Infrastructure & Natural Resources
5.1 Infrastructure Investing Concepts & Frameworks 5.2 Natural Resources, Timberland & Agriculture 5.3 Commodities Markets, Contango & Backwardation
7 Chapter 6: Private Equity
6.1 Venture Capital & Growth Equity Investing 6.2 Leveraged Buyouts (LBOs) & Buyout Strategies 6.3 Private Equity Value Creation & Exit Strategies
8 Chapter 7: Private Debt
7.1 Direct Lending & Private Credit Markets 7.2 Mezzanine Debt & Distressed Debt Strategies 7.3 Credit Underwriting & Risk Analysis 7.4 Securitization & Structured Products 7.5 Insurance-Linked Securities & Catastrophe Bonds
9 Chapter 8: Hedge Funds - Equity & Event-Driven Strategies
8.1 Equity Long/Short & Dedicated Short Bias 8.2 Event-Driven & Arbitrage Strategies 8.3 Global Macro & Managed Futures CTAs
10 Chapter 9: Hedge Funds - Relative Value & Risk Management
9.1 Relative Value & Fixed Income Arbitrage 9.2 Hedge Fund Structural Mechanics & Liquidity Terms 9.3 Hedge Fund Risk Metrics & Prime Brokerage
11 Chapter 10: Digital Assets & Funds of Funds
10.1 Blockchain Fundamentals & Digital Assets 10.2 Crypto Portfolio Allocation & Custody 10.3 Funds of Funds & Multi-Manager Allocation
5.3 Commodities Markets, Contango & Backwardation
Key Takeaways Explain This Topic AI
Commodity futures prices (F_t) reflect expected future spot prices adjusted for storage costs, financing costs (cost of carry), and the convenience yield.
Contango occurs when futures prices exceed spot prices (F_t > S_0), resulting in an upward-sloping futures curve over time and negative roll yield for long futures investors.
Backwardation occurs when spot prices exceed futures prices (S_0 > F_t), resulting in a downward-sloping futures curve over time and positive roll yield for long futures investors.
Total return of a collateralized commodity futures investment comprises three distinct components: spot return, roll yield, and collateral yield.
The Theory of Storage posits that convenience yield—the non-monetary benefit of holding physical inventory—increases when inventories are low, driving commodity markets into backwardation.
Last updated: July 2026
Commodity investing differs fundamentally from investing in traditional financial assets such as stocks and bonds. Equities represent claims on expected future corporate earnings, and bonds represent contractual rights to interest and principal payments. Commodities, by contrast, are physical assets that generate no ongoing cash flows, pay no dividends or interest, and incur ongoing storage, insurance, and transportation costs. Consequently, exposure to commodities is primarily achieved through exchange-traded derivative contracts—most notably commodity futures contracts.
Spot Prices vs. Futures Prices and the Cost of Carry Model
Understanding commodity derivatives requires distinguishing between the spot price ( S 0 S_0 S 0 )—the price for immediate physical delivery of a commodity—and the futures price ( F t F_t F t )—the price agreed upon today for physical delivery at a specified future date t t t .
The theoretical relationship between spot and futures prices is governed by the Cost of Carry Model . Under full arbitrage conditions, the futures price equals the spot price plus net carrying costs: F t = S 0 × ( 1 + r ) t + U t − C t F_t = S_0 \times (1 + r)^t + U_t - C_t F t = S 0 × ( 1 + r ) t + U t − C t
In continuous-time notation, the relationship is expressed as: F t = S 0 ⋅ e ( r + u − y ) t F_t = S_0 \cdot e^{(r + u - y)t} F t = S 0 ⋅ e ( r + u − y ) t
where:
- r r r = Risk-free financing interest rate (the cost of capital to finance the physical purchase)
- u u u (or U t U_t U t ) = Physical storage, insurance, and transportation cost rate
- y y y (or C t C_t C t ) = Convenience yield rate
- The Convenience Yield & Theory of Storage
The convenience yield ( y y y ) represents the non-monetary benefit or option value derived from physically holding the actual commodity in inventory rather than holding a futures contract. According to the Theory of Storage developed by Kaldor, Working, and Telser:
High Inventory / Abundant Supply: When physical inventories are high, the convenience yield is low ( y ≈ 0 y \approx 0 y ≈ 0 ). Industrial processors face little risk of supply disruption, so physical inventory offers minimal extra benefit over a futures contract.
Low Inventory / Severe Shortage: When physical inventories are depleted, the convenience yield rises dramatically ( y > r + u y > r + u y > r + u ). Manufacturers are willing to pay a premium for immediate physical delivery to prevent factory shutdowns or customer default, driving the spot price significantly above the futures price.
Term Structure of Futures: Contango vs. Backwardation
The relationship between commodity futures prices across different expiration dates forms the futures term structure curve. The shape of this curve determines whether a commodity market is in Contango or Backwardation .
Market Condition Term Structure Curve Shape Spot vs. Futures Price Net Carry Relationship Roll Yield Sign for Long Positions
Contango Upward-sloping (forward prices higher than spot) F t > S 0 F_t > S_0 F t > S 0 Convenience Yield < Carrying Costs ( y < r + u y < r + u y < r + u ) Negative (Loss when rolling contracts)
Backwardation Downward-sloping (forward prices lower than spot) S 0 > F t S_0 > F_t S 0 > F t Convenience Yield > Carrying Costs ( y > r + u y > r + u y > r + u ) Positive (Gain when rolling contracts)
Contango Markets
In a contango market, futures prices trade at a premium to spot prices ( F t > S 0 F_t > S_0 F t > S 0 ), and longer-dated futures trade at higher prices than shorter-dated futures.
Underlying Drivers: Contango occurs when physical supply is abundant, storage space is available, and the convenience yield is low ( y < r + u y < r + u y < r + u ). Futures prices must exceed spot prices to compensate market participants for financing and physical storage costs over time.
Convergence: As a futures contract approaches its expiration date ( t → 0 t \rightarrow 0 t → 0 ), the futures price must converge downward to meet the spot price, eliminating arbitrage opportunities at maturity.
Backwardation Markets
In a backwardation market, futures prices trade at a discount to spot prices ( S 0 > F t S_0 > F_t S 0 > F t ), and longer-dated futures trade at lower prices than near-term futures.
Underlying Drivers: Backwardation occurs when immediate physical demand is high, inventories are tight, and the convenience yield exceeds carrying costs ( y > r + u y > r + u y > r + u ).
Keynes' Theory of Normal Backwardation: Economist John Maynard Keynes proposed that commodity producers (hedgers) naturally seek to eliminate price risk by selling futures contracts forward. To entice speculators to assume this price risk, producers sell futures at a discount below the expected future spot price. Speculators are rewarded for absorbing price risk as the futures contract converges upward toward the spot price at maturity.
Components of Commodity Futures Total Return
Investors who gain commodity exposure through passive long futures positions do not simply earn the change in spot prices. The total return of a fully collateralized long commodity futures position consists of three distinct structural components: Total Return = Spot Return + Roll Yield + Collateral Yield \text{Total Return} = \text{Spot Return} + \text{Roll Yield} + \text{Collateral Yield} Total Return = Spot Return + Roll Yield + Collateral Yield
1. Spot Return (Price Return)
The percentage change in the underlying physical commodity's spot price over the holding period: Spot Return = S t − S 0 S 0 \text{Spot Return} = \frac{S_t - S_0}{S_0} Spot Return = S 0 S t − S 0
2. Roll Yield (Roll Return)
Because futures contracts expire on specific dates, a long-term investor who wishes to maintain continuous commodity exposure must repeatedly close out expiring near-term contracts ( F near F_{\text{near}} F near ) and purchase longer-dated contracts ( F far F_{\text{far}} F far ). This process is called rolling the futures position. The roll yield is defined as: Roll Yield = F near − F far F near \text{Roll Yield} = \frac{F_{\text{near}} - F_{\text{far}}}{F_{\text{near}}} Roll Yield = F near F near − F far
Negative Roll Yield in Contango: In contango ( F far > F near F_{\text{far}} > F_{\text{near}} F far > F near ), the investor sells the expiring cheaper near-month contract and buys the higher-priced far-month contract. Over time, as each newly purchased contract converges downward toward the spot price, the investor experiences a structural loss. Long positions in persistent contango suffer severe return drag.
Positive Roll Yield in Backwardation: In backwardation ( F near > F far F_{\text{near}} > F_{\text{far}} F near > F far ), the investor sells the expiring higher-priced near-month contract and buys the cheaper far-month contract. As the newly bought cheaper contract converges upward toward the spot price, the investor earns a structural gain.
3. Collateral Yield (Cash Return)
Futures contracts are leveraged instruments that require investors to deposit margin collateral. When an investor takes an unleveraged long commodity futures position, 100% of the contract value is deposited in safe, short-term interest-bearing securities such as U.S. Treasury bills. The interest earned on this cash collateral forms the collateral yield .