Forwards, Futures, Options, and Managing Price Risk in Supply Chains
4.1 Forward Contracts
A forward contract is a private agreement between two parties to buy or sell an asset at a specified future date for a price agreed upon today. Forwards are the simplest derivative instruments and form the conceptual foundation for all hedging in supply chains.
Key Features
Customizable: Quantity, quality, delivery date, and location are negotiated bilaterally.
No upfront cost: The forward price is set so that the contract has zero initial value (no premium).
Counterparty risk: Since forwards trade over-the-counter (OTC), each party bears the risk that the other may default.
Settlement at expiry: Profit or loss is realized at maturity, not before.
Where S0 is the spot price, r is the risk-free rate, y is the convenience yield (benefit of holding the physical commodity), and T is time to maturity in years.
Convenience Yield: Physical commodities provide a "convenience yield" that financial assets do not. Holding crude oil in a refinery allows you to keep producing even if supply is disrupted. This yield reduces the forward price below the pure cost-of-carry level. When inventories are tight, convenience yields spike, and futures can trade below spot (backwardation).
4.2 Futures Contracts
Futures contracts are standardized, exchange-traded versions of forwards. Standardization enables liquidity, and the exchange clearinghouse eliminates counterparty risk through daily margining.
When entering a futures position, the trader deposits an initial margin (typically 5-15% of contract value). Each day, the contract is marked to market: gains are credited and losses are debited. If the account falls below the maintenance margin, the trader receives a margin call and must deposit additional funds.
Day 1: Oil drops to $73. Loss = 10,000 × $2 = $20,000. Account = $55,000 (below $60,000). Margin call: deposit $20,000 to restore to $75,000. Day 2: Oil rises to $76. Gain = 10,000 × $3 = $30,000. Account = $105,000. No margin call; excess can be withdrawn.
4.3 Hedging Strategies for Supply Chains
Supply chain managers use futures to lock in input costs or output prices, converting uncertain margins into predictable ones.
Long Hedge (Input Price Lock)
A firm that will purchase a commodity in the future buys futures today to lock in the purchase price.
Example: A chocolate manufacturer needs 100 tons of cocoa in 3 months. Current spot = $3,200/ton. Worried about price increases, the firm buys cocoa futures at $3,250/ton.
Scenario A (price rises to $3,500):
Physical purchase cost: 100 × $3,500 = $350,000
Futures gain: 100 × ($3,500 − $3,250) = $25,000 Net cost: $325,000 (effective price = $3,250/ton)
Scenario B (price falls to $3,000):
Physical purchase cost: 100 × $3,000 = $300,000
Futures loss: 100 × ($3,000 − $3,250) = −$25,000 Net cost: $325,000 (effective price = $3,250/ton)
In both scenarios, the effective cost is locked at $3,250/ton.
Short Hedge (Output Price Lock)
A firm that will sell a commodity in the future sells futures today to lock in the selling price. Common for producers (farmers, miners, oil companies).
4.4 Basis Risk
In practice, hedges are rarely perfect. Basis risk arises when the futures contract does not perfectly match the hedger's physical exposure. The basis is defined as:
Basis = Spot Price − Futures Price
Basis risk occurs because:
Quality mismatch: The futures contract specifies a standard grade, but the physical product may differ (e.g., Brent crude futures vs. Nigerian Bonny Light).
Location mismatch: The delivery point differs from where the firm operates (e.g., natural gas futures delivery in Louisiana vs. firm's plant in Ohio).
Timing mismatch: The futures expiry does not align with the physical transaction date.
Cross-Hedging: When no futures contract exists for the exact commodity, firms use a correlated contract. A jet fuel consumer might hedge with crude oil or heating oil futures. The effectiveness depends on the historical correlation between the two prices. The optimal hedge ratio minimizes variance of the hedged position:
h* = ρ × (σS / σF)
Where ρ is the correlation between spot and futures price changes, σS is the standard deviation of spot price changes, and σF is the standard deviation of futures price changes.
Example: An airline hedges jet fuel with heating oil futures. Historical data shows ρ = 0.92, σS = $0.035/gallon, σF = $0.040/gallon.
h* = 0.92 × (0.035 / 0.040) = 0.805
For every gallon of jet fuel exposure, the airline should hedge with 0.805 gallons of heating oil futures. A 1:1 hedge would over-hedge and increase variance.
4.5 Introduction to Options
Options give the holder the right but not the obligation to buy or sell an asset at a predetermined price. Unlike forwards and futures, which lock in a price symmetrically, options provide asymmetric protection: they cap losses while preserving upside potential.
Option Types and Payoffs
Call Option (Right to Buy)
Buyer pays premium upfront for the right to purchase at strike price K.
Payoff at expiry: max(ST − K, 0)
Use case: Buyer worried about price increases. Locks in maximum purchase price while benefiting if price falls.
Put Option (Right to Sell)
Buyer pays premium upfront for the right to sell at strike price K.
Payoff at expiry: max(K − ST, 0)
Use case: Producer worried about price declines. Locks in minimum selling price while benefiting if price rises.
Collar Strategy for Supply Chains: A manufacturer buys a call option at $80/barrel (ceiling) and sells a put option at $60/barrel (floor) on crude oil. The premium received from selling the put offsets (partially or fully) the premium paid for the call. Result: the firm's effective cost is bounded between $60 and $80, regardless of market movements. This "zero-cost collar" is widely used in corporate hedging programs.
Options vs. Futures for Hedging
Criterion
Futures
Options
Upfront cost
None (margin deposit only)
Premium required
Protection
Symmetric (locks price exactly)
Asymmetric (caps loss, keeps upside)
When to use
High certainty of quantity and timing
Uncertain quantity or desire to keep upside
Margin calls
Yes (daily mark-to-market)
No (for buyer); yes (for writer)
Complexity
Lower
Higher (Greeks, volatility)
Metallgesellschaft (1993): The German conglomerate hedged long-term fixed-price oil contracts with short-term (monthly) futures, rolling them forward. When oil prices fell, the futures positions generated massive margin calls ($1.3 billion in losses) even though the long-term contracts were profitable. The maturity mismatch between the hedge and the underlying exposure created a liquidity crisis that nearly bankrupted the firm. This case demonstrates that being "right" on direction is not enough if the hedge creates intermediate cash flow problems.
Hedging Payoff Diagram
See how a futures/forward hedge locks in your effective price regardless of where the spot price ends up.
Option Payoff Calculator
Visualize the hockey-stick payoff of a call or put option at expiry. Adjust spot, strike, and premium to see how profit changes.
Payoff at Expiry
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Net Profit
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Break-Even Price
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Chapter 4 Takeaways
Forward contracts lock in prices bilaterally but carry counterparty risk. Futures solve this through standardization and daily margining.
Long hedges protect input buyers against price rises; short hedges protect sellers against price falls. Both lock in a known effective price.
Basis risk (quality, location, timing mismatches) means no hedge is perfect. The optimal hedge ratio accounts for correlation between spot and futures.
Options provide asymmetric protection (cap losses, keep upside) but require paying a premium. Collars combine puts and calls to create bounded cost ranges.
Hedging strategy must account for intermediate cash flows (margin calls), not just final payoffs. Maturity mismatches can create liquidity crises even when the directional bet is correct.