Short Hedge

A short hedge sells futures contracts today to lock in a future selling price. It suits anyone with long cash exposure, such as a commodity producer, an exporter holding foreign currency receivables, or a fund manager planning to liquidate equity. If the spot price falls, the gain on the short futures offsets the loss in the cash market. The effective price received equals F1+b2F_1 + b_2, where F1F_1 is the futures price at hedge inception and b2b_2 is the basis at the close date.

Why it matters

A grain farmer owns wheat that will only be sold at harvest. The risk is that wheat prices fall before then. Selling wheat futures today fixes the receivable at F1F_1. If wheat drops by $20 per tonne, the futures short gains roughly $20 per tonne and the two cancel. The price lock is not exact because basis at close is uncertain, but residual risk is far smaller than outright exposure. The hedger gives up upside as the cost of removing downside.

Formulas

Effective price received under a short hedge
Peff=S2+(F1โˆ’F2)=F1+b2P_{\text{eff}} = S_2 + (F_1 - F_2) = F_1 + b_2
Here S2S_2 is the spot price at close, F1F_1 and F2F_2 are the futures prices at open and close, and b2=S2โˆ’F2b_2 = S_2 - F_2 is the basis at close. Source: Hull (2022) ยง3.4.

Worked examples

Scenario

An Australian wheat grower expects to harvest 5,000 tonnes in November. In August she sells 100 ASX Eastern Wheat futures (50 tonnes each) at A$330 per tonne. At delivery in November the spot price is A$300 and the futures settle at A$303.

Solution

Spot revenue =5,000ร—300== 5{,}000 \times 300 = A$1,500,000. Futures gain per tonne =330โˆ’303== 330 - 303 = A$27, so total futures gain =5,000ร—27== 5{,}000 \times 27 = A$135,000. Total received == A$1,635,000, or A$327 per tonne. This equals F1+b2=330+(300โˆ’303)=F_1 + b_2 = 330 + (300 - 303) = A$327, which is close to but not exactly the locked-in A$330 because of the realised basis b2=โˆ’3b_2 = -3.

Scenario

An oil producer shorts 1,000 WTI crude futures at US$80 per barrel to hedge October output. By delivery, spot crude has fallen to US$72 and futures to US$72.50.

Solution

Loss on physical =80โˆ’72== 80 - 72 = US$8 per barrel. Gain on futures =80โˆ’72.50== 80 - 72.50 = US$7.50 per barrel. Net price received =72+7.50== 72 + 7.50 = US$79.50, equal to F1+b2=80+(72โˆ’72.50)=F_1 + b_2 = 80 + (72 - 72.50) = US$79.50. Basis weakened by $0.50, so the hedger underperforms the locked rate by that amount.

Common mistakes

  • โœ—A short hedge guarantees you the futures price F1F_1. It only guarantees you F1+b2F_1 + b_2. The realised basis at close is unknown when the hedge is set, so basis risk remains. If you hold to delivery and the futures underlying matches your physical, basis converges to zero and the lock becomes nearly exact.
  • โœ—A short hedger profits when prices fall. The futures leg profits, but the physical position loses an offsetting amount. The whole point is that the net position is approximately flat. Treating the futures gain as profit is a confusion of cash flow with economic outcome.
  • โœ—Short hedges remove the need for inventory management. Hedging price risk does not hedge storage costs, deterioration, or counterparty risk on the physical buyer. A producer still bears all operating risks of the underlying business.

Revision bullets

  • โ€ขSell futures today, lift them at the close date
  • โ€ขSuits anyone holding or producing the underlying asset
  • โ€ขEffective price received =F1+b2= F_1 + b_2
  • โ€ขRemoves price risk but leaves basis risk
  • โ€ขGives up upside in exchange for downside protection
  • โ€ขHedge effectiveness highest when held to delivery

Quick check

A short hedge is most appropriate for which of the following participants?

An oil producer sells crude futures at US$80 per barrel. At delivery, spot is US$74 and futures are US$75. The effective price received per barrel is closest to:

Connected topics

In learning paths

Sources

  1. Hull, John C. Options, Futures, and Other Derivatives. 11th ed. Pearson, 2022. ISBN 978-0-13-693997-9.
    Section 3.1 introduces the short hedge with the textbook oil-producer example. Section 3.4 derives the effective price expression.
  2. CME Group. How to Hedge Grain Risk. CME Education Centre, accessed 2026.
    Walks through a producer short hedge in grain futures and explains how basis changes affect realised price.
  3. Australian Securities Exchange. ASX 24 Contract Specifications. ASX, version 11, December 2025.
    Reference for ASX Eastern Wheat and Western Wheat futures contract sizes used by Australian producers.
  4. Ederington, Louis H. The Hedging Performance of the New Futures Markets. Journal of Finance, Vol. 34, No. 1, March 1979, pp. 157-170.
    Quantifies how much variance a short hedge removes and shows that effectiveness depends on the spot-futures correlation.
How to cite this page
Dr. Phil's Quant Lab. (2026). Short Hedge. Derivatives Atlas. https://phucnguyenvan.com/concept/short-hedge