Commodity Term Structure & Roll Yield Analyzer
Quantitative forward curve slope and structural roll yield underwriter. Evaluates Contango versus Backwardation across prompt and deferred futures tenors ($F_1$ vs. $F_2$ through $F_{12}$), solving for physical storage carry costs, market-implied convenience yields, cash-and-carry arbitrage windows, and multi-year commodity ETF performance decay.
Futures Contract Specifications & Storage Cost Parameters
Adjust front-month prices, deferred tenors, storage fees, and financing rates to model roll dynamics.
Active prompt contract expiring in the nearest delivery month.
Next active contract into which prompt positions must roll.
Typical calendar roll interval (30 to 31 days for monthly futures).
Tankage, warehouse lease, insurance, and handling fees per unit per month.
Cost of capital borrowed to purchase and hold physical inventory.
Units per contract (1,000 bbls crude, 10,000 MMBtu gas, 100 oz gold).
Annualized 12-Month Contract Roll Schedule
Monthly calendar progression tracking position roll costs, dollar cash drag per contract, and cumulative portfolio yield.
| Roll Window | Contract Pair | Roll Spread ($F_1 - F_2$) | Monthly Roll (%) | Cash Roll / Contract | Cumulative Roll (%) | Cumulative Cash Drag |
|---|
Commodity Term Structure & Roll Yield Analyzer
Quantifies the slope of commodity futures forward curves (M1 through M12), calculating annualized roll yield, physical storage carry costs, market-implied convenience yields, and structural performance drag for long-only commodity ETFs.
Target Audience Application
Optimize roll timing between active prompt contracts and deferred tenors to minimize negative carry during steep contango regimes.
Diagnose why retail commodity ETFs (e.g., USO, UNG) suffer severe multi-year performance decay relative to spot commodity prices due to persistent negative roll yield.
Extract convenience yield signals indicating spot physical inventory tightness versus surplus storage overhang.
Systematically harvest positive roll yield in backwardated energy and agricultural markets via roll-yield carry factors.
Cost of Carry, Convenience Yield & Roll Yield Math
Roll Yield = [(F_prompt - F_deferred) / F_prompt] × (365 / Days to Expiry Delta)2. Kaldor-Working Cost of Carry Forward Price:
F(0, T) = S_0 × e^[(r + u - y) × T]Where:
r = Financing / Risk-Free Interest Rateu = Marginal Physical Storage & Insurance Cost (%)y = Implied Convenience Yield (Premium for physical availability)
Term Structure Regimes & ETF Drag Warning
- Contango Regimes (Upward Sloping): When $F_2 > F_1$, roll yield is negative. A long-only fund must continuously sell cheap expiring contracts and buy expensive deferred contracts, bleeding capital monthly even if spot prices remain flat.
- Backwardation Regimes (Downward Sloping): When $F_1 > F_2$, roll yield is positive. Buyers capture structural roll gains as deferred contracts pull to higher spot prices at convergence.
- Super-Contango Threshold: When contango exceeds full physical storage and financing costs ($F_2 - F_1 > \text{Storage} + \text{Cost of Debt}$), riskless cash-and-carry physical arbitrage opens.
Institutional Methodology & Underwriting Dossier
Quantifies the slope of commodity futures forward curves (M1 through M12), calculating annualized roll yield, physical storage carry costs, market-implied convenience yields, and structural performance drag for long-only commodity ETFs.
1. Target Audience & Practical Application
How different financial market participants apply this quantitative model to real-world capital allocation:
Optimize roll timing between active prompt contracts and deferred tenors to minimize negative carry during steep contango regimes.
Diagnose why retail commodity ETFs (e.g., USO, UNG) suffer severe multi-year performance decay relative to spot commodity prices due to persistent negative roll yield.
Extract convenience yield signals indicating spot physical inventory tightness versus surplus storage overhang.
Systematically harvest positive roll yield in backwardated energy and agricultural markets via roll-yield carry factors.
2. Cost of Carry, Convenience Yield & Roll Yield Math
Roll Yield = [(F_prompt - F_deferred) / F_prompt] × (365 / Days to Expiry Delta)2. Kaldor-Working Cost of Carry Forward Price:
F(0, T) = S_0 × e^[(r + u - y) × T]Where:
r = Financing / Risk-Free Interest Rateu = Marginal Physical Storage & Insurance Cost (%)y = Implied Convenience Yield (Premium for physical availability)
3. Term Structure Regimes & ETF Drag Warning
- Contango Regimes (Upward Sloping): When $F_2 > F_1$, roll yield is negative. A long-only fund must continuously sell cheap expiring contracts and buy expensive deferred contracts, bleeding capital monthly even if spot prices remain flat.
- Backwardation Regimes (Downward Sloping): When $F_1 > F_2$, roll yield is positive. Buyers capture structural roll gains as deferred contracts pull to higher spot prices at convergence.
- Super-Contango Threshold: When contango exceeds full physical storage and financing costs ($F_2 - F_1 > \text{Storage} + \text{Cost of Debt}$), riskless cash-and-carry physical arbitrage opens.