Skip to content
CyclepediaThe trading encyclopedia
ITENESPT-BRFRDE

Roll yield: return, curve and measurement conventions

Roll yield describes the component of a futures exposure's return linked to the term structure and convergence, under a stated methodology. It is not the same as commissions or the simple price gap observed during a roll.

On this page

Roll yield is a component of return attributed to how futures prices change along the term structure and converge through time. Its measurement depends on the contract, interval, roll calendar, constructed series and decomposition convention. It is not a coupon and is not the same as commissions, bid-ask spread or the difference between two expiries observed at one instant.

In plain terms — A curve in contango can create a headwind for a long strategy that renews its exposure, but it does not automatically produce a loss. The underlying price, subsequent curve shape, chosen expiry, side of the position, costs and return on cash remain decisive.

Roll yield: always specify the measure Curve proxy, convergence and series adjustment are not synonyms Roll yield: always specify the measure Curve proxy, convergence and series adjustment are not synonyms Basis return Change in the futures-spotdifferential during the interval. Δ basis Roll adjustment Adjustment that joins expirieswithout a false P&L jump. Σ roll Roll yield A stated decomposition may combinebasis return and adjustments. RY F₁=100 · F₂=103 Long proxy F₁/F₂−1 = −2.91%; not a certainloss. F₁=100 · F₂=97 Long proxy F₁/F₂−1 = +3.09%; not a certaingain. Strategy total Futures P&L + collateral return − applicablecosts and fees. Method required Dates, weights, side, expiries and series mustbe published. Cyclepedia · source-checked visual
Roll yield is a return decomposition: reading it requires a convention, dates, side, quantities and a series methodology.

Why there is more than one operational definition

In market language, “roll return” and “roll yield” are often used as synonyms. Methodologies, however, do not always measure the same quantity. Three common uses are:

  1. ex-ante curve proxy — difference or ratio between near and deferred futures at the observation time;
  2. realized convergence component — part of P&L attributed to the future moving towards spot or towards the new reference expiry;
  3. roll adjustment of a series or index — adjustment needed to link different contracts under a published calendar.

The three figures can have different signs or scales. A page, backtest or product that publishes “roll yield” without its formula, frequency and universe is not fully interpretable.

A readable proxy, not a promise

For a long moving from the near future F₁ to the deferred future F₂, a simple proxy on the roll date is:

roll proxy = F₁ / F₂ − 1

With F₁ = 100 and F₂ = 103, the proxy is approximately −2.91%. With F₂ = 97, it is approximately +3.09%. This normalization describes the ratio between two prices at that time; it is not yet the return the account will realize.

Some comparisons annualize the ratio by the days between expiries:

annual proxy ≈ (F₁ / F₂ − 1) × 365 / Δdays

Annualization magnifies small errors and becomes fragile with very close expiries, prices near zero or below zero, and contracts with non-homogeneous units. It must therefore be labelled a proxy, not a certain rate.

From the futures price to return

For a linear position maintained in the same contract:

P&L = (exit price − entry price) × multiplier × quantity

The M1-versus-M2 comparison does not enter this formula until two actual transactions and the path of the new contract are defined. A decomposition used in futures research instead expresses the return of an investable series as a combination of spot movement, changes in basis and adjustments accumulated on roll dates. In the Campbell & Company white paper, hosted by CME Group and cited below:

roll yield = basis return + cumulative roll adjustment

Between roll dates and under specific assumptions, cumulative roll adjustment can serve as a proxy for roll yield. Over arbitrary intervals, the change in basis cannot be omitted. This identity is a decomposition convention, not a standalone cash flow that can be purchased separately.

For a collateralized strategy, total return also includes the return on cash or collateral and subtracts transaction costs, fees and applicable taxes. “Spot return plus roll yield” is not a universally sufficient formula for every index or account.

Contango and backwardation: typical effect, not certain outcome

For a long renewing a nearby expiry with a farther one:

Local structure at the roll Typical relationship Headwind or tailwind relative to spot, with curve unchanged
Contango
 F₂ > F₁ negative
Backwardation F₂ < F₁ positive

The qualifications “with the curve unchanged” and “relative to spot” are essential. FINRA states that contango does not necessarily imply a negative total return and backwardation does not necessarily imply a positive return. A strong directional move can dominate the curve component; the sign reverses for a short; a strategy selecting other expiries or changing weights can produce a different result.

The curve can also be mixed: contango from M1 to M2 and backwardation from M2 to M3. In that case, referring to “the market's roll yield” without naming the expiries conceals the actual measure.

Example: no instant loss from changing labels

A long investor sells M1 at 100 and buys M2 at 103 at the same time. Assume a multiplier of 50 and one contract.

  • P&L on M1 depends on its original purchase price.
  • M2 starts with a new cost basis of 103.
  • The three-point difference is not, by itself, a P&L of −150 at the roll.
  • If M2 falls from 103 to 100 while spot remains unchanged, subsequent P&L is −3 × 50 = −150.
  • If M2 rises from 103 to 108, subsequent P&L is +5 × 50 = +250.

The same example can look different in a continuous series. Switching the front contract from 100 to 103 creates an artificial jump of three in a naive linked series. An adjusted method neutralizes it to represent investable P&L. The adjustment is not an additional transaction in the account: it is a series-construction choice.

Roll yield of an index or ETP

A futures-linked index can roll in one day, over a window, with gradual weights or into an expiry selected by liquidity or curve rules. Two products on the same underlying can therefore have:

  • different destination contracts;
  • different reference dates and prices;
  • quantities rebalanced in different ways;
  • different collateral returns, fees and tracking.

The commodity's spot price is not enough to reconstruct their returns. Before comparing an index, ETF, ETC or fund, read its methodology and distinguish the benchmark return, NAV and traded price of the product.

Frequent interpretation errors

  • “Contango means a certain loss” — confuses a relative headwind with total return.
  • “Backwardation means a certain gain” — ignores price movement and curve changes.
  • “The roll gap is debited immediately” — compares two different contracts as though they were the same instrument.
  • “The back-adjusted series is a traded historical price” — adjustment changes levels to make the series continuous.
  • “Roll yield equals commissions” — spread, slippage and fees are separate operating costs.
  • “An annualized proxy is an expected return” — the curve can change before convergence or the next roll.

Measurement checklist

  • Which definition of roll yield am I using?
  • Which two expiries and timestamp am I comparing?
  • Is the position long or short, and with what weights?
  • Is the roll instantaneous or spread over several days?
  • Is the series raw, spliced, back-adjusted, forward-adjusted or index-built?
  • Is basis defined as futures − spot or with the opposite sign?
  • Are collateral return and costs included or separate?
  • Is the result realized, historical, implied or only a proxy?

Sources

Suggest an edit My proposals