Module 03
Futures & Forward Markets
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Lecture Slides
Introduction to Options — Ch. 20 Derivatives & Risk Management — Ch. 20–23
Crude
Derivatives · Energy Markets · Hedging

Locking in Tomorrow's
Price Today

Futures and forward contracts let buyers and sellers agree on a price now for delivery later. In no market is this more consequential — or more volatile — than crude oil. From OPEC decisions to Strait of Hormuz tensions, you'll see how abstract theory becomes billion-dollar reality.

Market Snapshot · Spring 2025
🌍
Brent Crude — Front Month
ICE · BZ1 · Global Benchmark
$67.15
▲ +$0.38 (+0.57%)
Brent premium: +$3.35/bbl
📋
Curve Structure
Near-term: Backwardation · Long-dated: Contango
MIXED
Rare "smile" curve
OPEC+ output hikes shifting structure
Core Concepts

Forwards vs. Futures

Both contracts lock in a price for future delivery — but they differ in structure, flexibility, and risk in ways that matter for how they're used.

Over-the-Counter Instrument
Forward Contract
A forward is a private, customizable agreement between two parties to buy or sell an asset at a specified price on a specified future date. There is no exchange involved — the deal is negotiated directly.

An airline might agree today to buy 10 million gallons of jet fuel from a refinery in six months at $2.80/gallon. Both sides eliminate price uncertainty. The airline knows its fuel cost; the refinery locks in revenue.
Forward Price: F₀ = S₀ × e^(rT)
S₀ = spot price · r = risk-free rate · T = time to delivery

With storage costs (q): F₀ = S₀ × e^((r+q)T)
Crude oil: storage ≈ $0.50–$1.00/bbl/month
Key risk: Counterparty risk — if your counterparty defaults, you have no exchange guarantee. Settlement happens only at maturity.
FeatureDetails
Where tradedOver-the-counter (OTC) — no exchange
Contract termsFully customizable: size, date, settlement
SettlementAt maturity only — no daily mark-to-market
Counterparty riskHigh — private agreement, no clearinghouse
LiquidityLow — difficult to exit early
Typical usersCorporations, banks, airlines hedging specific needs
Oil exampleAirline locks in jet fuel price with refinery for Q3
Margin requiredNo standardized margin — negotiated bilaterally
Exchange-Traded Instrument
Futures Contract
A futures contract is a standardized, exchange-traded agreement to buy or sell a specific quantity of an asset at a set price on a set future date. The exchange (e.g., NYMEX/CME) acts as the central clearinghouse, eliminating counterparty risk.

A WTI crude futures contract represents exactly 1,000 barrels of oil. If you buy one June contract at $65/bbl, you're agreeing to take delivery of 1,000 barrels at Cushing, Oklahoma, on the contract's expiration date — unless you close the position first.
Daily P&L = (F_today − F_yesterday) × Contract Size
WTI Contract: (Δprice) × 1,000 barrels

Tick size = $0.01/bbl = $10 per contract
A $1 move = $1,000 gain or loss per contract
Key advantage: Daily mark-to-market means gains/losses are settled every day. Margin protects the clearinghouse. You can exit by taking an offsetting trade — 95%+ of futures contracts never result in physical delivery.
FeatureDetails
Where tradedNYMEX (CME Group), ICE — centralized exchange
Contract termsStandardized: 1,000 bbl, specific delivery dates
SettlementDaily mark-to-market — gains/losses credited nightly
Counterparty riskNone — clearinghouse guarantees all trades
LiquidityHigh — millions of contracts trade daily
Typical usersHedgers (producers, refiners) + speculators
Oil examplePioneer Natural buys WTI Sep contract to lock in revenue
Margin required~3–12% of contract value (initial + maintenance)
Feature Forward Contract Futures Contract
Trading venueOver-the-counter (private)Centralized exchange (NYMEX, ICE)
StandardizationFully customizableStandardized size & dates
Settlement timingAt maturity onlyDaily mark-to-market
Counterparty riskHigh — private dealNone — clearinghouse
LiquidityLow — hard to exitVery high
Margin requirementNone standard3–12% of notional
Physical deliveryUsually expectedRare — <5% deliver
Price transparencyPrivate — not publicPublic — live quotes
RegulationMinimal (ISDA governed)CFTC regulated
Best forTailored corporate hedgesSpeculation + standardized hedging
How They Work

Six Mechanics You Must Know

These are the operational concepts that drive how futures are actually traded, priced, and managed on the NYMEX floor and in energy trading desks.

01 · Margin
💰
Initial & Maintenance Margin
To enter a WTI futures position, you post initial margin (~$4,000–$7,000/contract). If your account falls below the maintenance margin level, you receive a margin call and must deposit funds immediately — or your position is liquidated.
02 · Mark-to-Market
📊
Daily Settlement
Every night, NYMEX settles all open positions at the day's closing price. Gains are credited to your account; losses are debited. A $1 move in WTI = $1,000/contract gain or loss. This happens automatically, daily, for every open contract.
03 · Convergence
🎯
Basis & Convergence
Basis = Futures Price − Spot Price. As a contract approaches expiry, the futures price converges toward the spot price. If they didn't converge, arbitrageurs would exploit the difference until they do.
04 · Rollover
🔄
Contract Rollover
Most traders never take delivery. Before expiry, they roll — close the near-month contract and open the next month's contract. In contango, this roll costs money (buy high, sell low). In backwardation, it earns a positive roll yield.
05 · Delivery
🏭
Physical Delivery (WTI)
WTI futures settle via physical delivery at Cushing, Oklahoma — the pipeline hub for North American crude. In April 2020, WTI briefly went to −$37/bbl because storage at Cushing was nearly full and nobody wanted delivery.
06 · Leverage
Leverage & Notional Value
One WTI contract at $64/bbl = $64,000 notional exposure. But you only post ~$5,500 in margin. That's roughly 12:1 leverage. A 5% price move creates a ~$3,200 gain or loss on a $5,500 deposit — powerful, and dangerous.
Interactive Visualizer

The Forward Curve: Contango vs. Backwardation

The shape of the futures curve tells you what the market expects. Drag the sliders to see how spot price, storage costs, and expectations shift the entire curve — and what structure we're currently seeing in oil.

Curve Parameters
Curve Structure
Spot Price (S₀) $63.80
Storage Cost ($/mo) $0.60
Risk-Free Rate 4.5%
Market Sentiment Bearish
6-Mo Future
12-Mo Future
Curve Shape
6-Mo Basis

WTI Forward Curve

Backwardation
2025 Reality
OPEC+ accelerated production hikes in 2025, pushing the Brent curve from steep backwardation toward contango — signaling growing oversupply fears. Goldman cut its WTI forecast to $56/bbl.
Contango Signal
Future prices > spot price. Storage is profitable. Producers may delay sales and fill tanks. The market expects oversupply. Roll yield is negative for ETF investors.
Backwardation Signal
Spot > futures. Buyers pay premium for immediate delivery. Supply is tight. OPEC cuts or geopolitical disruptions drive backwardation. Positive roll yield for long investors.
Real-World Case Studies

Oil Futures in History & Today

Click any event to see how futures mechanics played out in one of the most volatile commodity markets on earth.

April 2020
📉
WTI Goes Negative
WTI May contract−$37.63/bbl
COVID demand collapse−30% YoY
Cushing capacity~95% full
Curve structureSuper Contango
2025 — Ongoing
⚖️
OPEC+ Unwinds Cuts
Output increase+1 Mbpd (Apr–Jun)
WTI spot price~$60–64/bbl
Goldman WTI forecast$56/bbl avg
Curve shift→ Contango
2025 — Geopolitical
🚢
Strait of Hormuz Risk
WTI spike+$111/bbl
Iran tensionsNuclear talks stalled
Strait volume~20% world supply
Risk premiumEmbedded in futures
Market Participants

Who Uses Futures — and Why

Futures markets exist because two types of participants need each other: those who want to eliminate price risk, and those willing to take it on for profit.

🏗️
The Hedger
Risk Reducer
Hedgers use futures to lock in prices and eliminate uncertainty about future cash flows. They have a real economic exposure to the underlying commodity — they're either buying it or selling it in the physical market.
Example — Pioneer Natural Resources (Producer):
Produces 500,000 bbl/day of WTI. Current price $64/bbl. Worried prices fall before they can sell. They sell (short) WTI December futures at $63/bbl — locking in $63 regardless of where prices go. If prices fall to $50, they lose on the physical sale but gain on the futures. Net: still get ~$63/bbl.

Example — American Airlines (Consumer):
Needs 4 billion gallons of jet fuel annually. They buy (long) crude futures to lock in fuel costs and protect their operating margins from spikes.
📈
The Speculator
Risk Taker
Speculators have no interest in the physical commodity. They trade futures purely to profit from price movements, providing the liquidity that makes hedging possible. Without speculators, there would be no one to take the other side of a hedger's trade.
Example — Macro Hedge Fund:
Believes OPEC+ will fail to enforce its production cuts. They sell (short) 500 WTI contracts at $64. If oil falls to $58, each contract gains $6,000 → total profit: $3,000,000. They close the position before delivery — they never see a barrel of oil.

Example — Algorithmic Trading Firm:
Trades the WTI–Brent spread electronically, exploiting the $3.35/bbl price difference between benchmarks. Holds positions for minutes or hours, providing continuous market liquidity.
Interactive Simulator

Mark-to-Market: A Week in the Life

You've bought 3 WTI crude futures contracts at $64.00/bbl. Watch how daily settlement and margin calls play out over a volatile week. Adjust the setup and see the results update live.

Position Setup
Entry Price ($/bbl) $64.00
Contracts 3
Initial Margin/Contract $5,500
Maint. Margin/Contract $4,000
Total Margin
$16,500
Notional
$192,000
Leverage
11.6×
Maint. Floor
$12,000
Daily Mark-to-Market Log
WTI Long Position
Knowledge Check

Test Your Understanding

Five questions on the concepts covered in this module. Click to reveal instant feedback.

1. WTI crude futures are trading in contango. You hold a long position through a rollover. What happens to your position?
A. You gain a positive roll yield — the next contract is cheaper
B. You incur a negative roll yield — you sell low and buy high
C. Rolling has no economic impact on your P&L
D. Roll yield is positive only in contango
2. You're long 5 WTI futures contracts at $65/bbl. Oil falls to $62 overnight. Your initial margin was $6,000/contract. What is your total mark-to-market loss?
A. −$3,000
B. −$15,000
C. −$62,000
D. −$30,000 (the full margin posted)
3. In April 2020, WTI futures traded at −$37/bbl. Which explanation is most accurate?
A. OPEC cut production, reducing the supply of oil below demand
B. Oil became genuinely worthless as demand for fossil fuels collapsed permanently
C. Holders of the May contract faced physical delivery at a full Cushing, OK storage hub — they paid others to take the oil
D. It was a technical error similar to a Bitcoin flash crash
4. An airline buys crude oil futures to hedge its fuel costs. Oil prices then fall sharply. What best describes the outcome?
A. The airline profits significantly from falling oil prices
B. The airline loses money on both the hedge and fuel costs
C. The airline loses on the futures hedge but pays less for actual fuel — net cost stays near the locked-in price
D. The hedge automatically cancels, leaving the airline with market exposure
5. The theoretical forward price for crude oil (no convenience yield) is best described by which formula?
A. F₀ = S₀ + (r + storage) × T
B. F₀ = S₀ × e^((r + storage) × T)
C. F₀ = S₀ ÷ e^(rT)
D. F₀ = S₀ × N(d₁) − K × e^(−rT) × N(d₂)
6. OPEC+ voted in 2025 to accelerate the unwinding of 2.2 million bpd in production cuts. What was the likely immediate effect on the oil futures curve?
A. The curve steepened into deeper backwardation as supply tightened
B. Spot prices spiked because markets feared an immediate shortage
C. The curve shifted toward contango as near-term oversupply expectations grew
D. No effect — OPEC decisions don\'t impact futures prices
Key Terms

Glossary

Futures Contract
A standardized, exchange-traded obligation to buy or sell an asset at a set price and date. Settled daily via mark-to-market.
Forward Contract
A private, customizable OTC agreement to buy or sell an asset at a set price at maturity. No daily settlement; higher counterparty risk.
Contango
When futures prices are higher than the current spot price. Signals expected oversupply; creates negative roll yield for long futures investors.
Backwardation
When futures prices are lower than the spot price. Signals supply tightness; creates positive roll yield and benefits long-futures holders.
Mark-to-Market
The daily process of crediting gains and debiting losses from futures accounts based on the day's settlement price.
Basis
The difference between the futures price and the spot price (F − S). Converges to zero at contract expiration.
Initial Margin
The deposit required to open a futures position — typically 3–12% of the contract's notional value.
Maintenance Margin
The minimum account balance to hold an open position. Falling below this triggers a margin call.
Roll Yield
The gain or loss from rolling an expiring futures contract into the next month. Positive in backwardation; negative in contango.
Cost of Carry
The cost of holding an asset until delivery: financing cost + storage cost − convenience yield. Sets the theoretical forward price.
Convenience Yield
The non-monetary benefit of physically holding a commodity (e.g., being able to run your refinery). Reduces the forward price below theoretical cost-of-carry.
WTI / Brent
West Texas Intermediate and Brent are the two main crude benchmarks. WTI is the US benchmark (Cushing, OK delivery); Brent is the global benchmark.