Lesson 5 of 6 · All lessons in this module
  1. Arbitrage and the law of one priceVideo lesson
  2. Replicating a forward commitmentVideo lesson
  3. Exploiting a mispriced forward, and the role of r and T
  4. The cost of carry: income and costs of owning the underlyingVideo lesson
  5. Commodities, convenience yield and carry by asset classVideo lesson
  6. FX forwards: carry as an interest rate differential

Lesson 5 of 6 · 11 min

Commodities, convenience yield and carry by asset class

Physical commodities carry storage and insurance costs that raise the forward price, while a convenience yield from holding scarce stock can pull it back down.

In short

  • Commodities carry costs that financial assets do not: storage, insurance, transport and, for soft commodities, spoilage.
  • These costs raise the forward price: F0(T)=[S0+PV0(C)](1+r)TF_0(T) = [S_0 + PV_0(C)](1+r)^T. Higher storage costs widen the gap between forward and spot.
  • A convenience yield is a non-cash benefit of holding the physical commodity, typically when inventories are low.
  • A forward price well below the full-carry no-arbitrage price hints at a convenience yield.
  • Each asset class has its own carry: dividends for equities, coupons or interest for bonds, the rate differential for FX, storage and convenience yield for commodities.

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