Enter Values

$
Commodity spot price at start of period
$
Commodity spot price at end of period
$
Front-month futures contract price
$
Back-month futures contract price
%
Annualized T-bill or collateral yield
months
Single roll window (1-12 months)
Return Decomposition Formula
Total Return = Spot + Roll + Collateral
Spot = Price change | Roll = Curve effect | Collateral = T-bill yield
Ryan O'Connell, CFA
Calculator by Ryan O'Connell, CFA

Return Decomposition

Estimated Total Return (Long Futures) 3.67% Contango
Spot Return 6.25%
Roll Yield (Long) -3.70%
Collateral Return 1.13%

Formula Breakdown

Total Return = Spot Return + Roll Yield + Collateral Return

Market Structure Guide

Structure Condition Roll Yield (Long)
Backwardation Nearby > Deferred Positive
Contango Nearby < Deferred Negative
Flat Nearby = Deferred Zero

Roll yield perspective assumes a long investor rolling from nearby to deferred contract.

Model Assumptions

  • Single-period analysis (one roll window)
  • Long-only, fully collateralized futures exposure
  • Spot return is simple (not log) return
  • Roll yield uses nearby-to-deferred spread as proxy
  • Collateral return is simple interest (not compounded)
  • Total return is additive (not multiplicative)
  • Market conventions vary by commodity

For educational purposes. Not financial advice. Market conventions simplified.

Understanding Commodity Roll Yield

What is Roll Yield?

Roll yield is the profit or loss realized when rolling a futures position from an expiring contract to a later-dated contract. For commodity investors using futures (including most commodity ETFs), roll yield can significantly impact total returns beyond spot price movements.

Return Decomposition
Total Return = Spot Return + Roll Yield + Collateral Return
For a fully collateralized long futures position

Contango vs Backwardation

Contango

Nearby < Deferred
Long investors face negative roll yield as they sell lower-priced expiring contracts and buy higher-priced deferred contracts. Common in storage-intensive commodities.

Backwardation

Nearby > Deferred
Long investors benefit from positive roll yield as they sell higher-priced expiring contracts and buy lower-priced deferred contracts. Often seen during supply shortages.

When to Use This Calculator

Use this calculator to decompose expected commodity futures returns and understand the impact of the futures curve on total returns. This is especially useful when:

  • Evaluating commodity ETF investments that use futures
  • Comparing spot price forecasts to achievable futures returns
  • Understanding why commodity ETFs may underperform spot prices
  • Analyzing the roll cost/benefit in different market structures
Different from Fair Value Pricing: This calculator decomposes realized returns. For theoretical futures pricing based on cost of carry, use the Forward Price (Cost of Carry) Calculator instead.

Key Concepts

  • Spot Return: The percentage change in the underlying commodity price
  • Roll Yield: The gain or loss from rolling futures contracts (based on curve shape)
  • Collateral Return: Interest earned on margin posted for the futures position
  • Total Return: The sum of all three components for a fully collateralized position

Video Explanation

Video: Futures Pricing and Valuation Simplified

Download This Calculator as an Excel Template Interactive model with editable formulas — customize, save, and share.
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Frequently Asked Questions

Roll yield is the profit or loss realized when rolling a futures position from an expiring contract to a later-dated contract. For a long investor, roll yield is positive in backwardation (when nearby prices exceed deferred prices) and negative in contango (when deferred prices exceed nearby prices). It arises from the price convergence between nearby and deferred futures contracts as positions are rolled forward.

Contango occurs when deferred futures prices are higher than nearby prices, resulting in negative roll yield for long investors who must "buy high" when rolling. Backwardation occurs when nearby prices exceed deferred prices, producing positive roll yield as long investors "sell high" on the expiring contract. In this calculator, market structure is determined by comparing nearby and deferred futures prices on the term structure.

Roll yield can significantly impact total returns over time. In persistent contango markets (common for commodities with high storage costs), rolling futures positions steadily erodes returns even if spot prices remain flat. Conversely, in persistent backwardation (often seen during supply shortages), roll yield adds to total returns beyond spot price appreciation. This is why commodity futures ETFs often underperform spot price indices.

Collateral return is the yield earned on cash or T-bills posted as collateral for a fully collateralized futures position. Since futures require only margin (typically 5-15% of notional value), the remaining capital can be invested in interest-bearing instruments like Treasury bills. For a fully collateralized position (100% cash backing), this collateral return is a meaningful component of total return, especially in higher interest rate environments.

Futures-based commodity ETFs face roll costs in contango markets. When they roll from expiring to deferred contracts at higher prices, they incur losses relative to spot price movements. Additional factors include management fees, tracking error, and rebalancing costs. Physically-backed products (like gold ETFs holding actual gold bullion) behave differently and more closely track spot prices, but are not available for all commodities due to storage constraints.

Enter current spot and futures prices to see the market structure and implied roll yield. Compare the roll yield to your expected spot return to assess whether the total return justifies the investment. A negative roll yield in contango means your spot price appreciation forecast must overcome this drag to achieve positive total returns. Use this analysis when comparing commodity futures/ETF investments to direct commodity exposure or other asset classes.
Disclaimer

This calculator is for educational purposes only and provides a simplified single-period return decomposition for a long, fully collateralized futures position. Actual commodity futures returns involve additional factors including basis risk, margin requirements, transaction costs, and varying roll schedules. This tool should not be used as the sole basis for investment decisions.

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