4.2 Inter-Commodity Spreads, Processing Spreads (Crush, Crack, and Spark)

4.2 Inter-Commodity Spreads, Processing Spreads (Crush, Crack, and Spark)

Inter-commodity spreads involve simultaneous long and short positions in different, but economically related, commodities traded on the same or different exchanges. When two commodities share a direct production relationship—where one raw commodity is processed into refined end-products—the trade is known as a processing spread.

Series 3 candidates must master three key processing spreads: the Soybean Crush Spread, the Petroleum Crack Spread, and the Spark Spread.

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1. Inter-Commodity Spreads (General)

Inter-commodity spreads capitalize on price relationships between substitute products or commodities subject to shared supply/demand drivers.

Classic Examples:

• Corn vs. Wheat Spread: Corn and wheat compete as livestock feed inputs. When wheat prices drop close to corn prices, livestock feeders substitute wheat for corn, driving wheat demand up and corn demand down until traditional price ratios restore.
• Feeders vs. Live Cattle (Cattle Crush): Buying Feeder Cattle futures and Feed Corn futures while selling Live Cattle futures to lock in cattle feeding margins.

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2. The Soybean Crush Spread

The soybean crush spread models the profit margin of commercial soybean processors (crushers) who purchase raw soybeans and process them into two derivative products: soybean meal (used for high-protein livestock feed) and soybean oil (used for cooking oil, food manufacturing, and renewable biodiesel).

                 +-----------------------+
                 |  Raw Soybeans (BU)    |
                 +-----------+-----------+
                             |
                             v
               [ Commercial Crush Facility ]
                             |
         +-------------------+-------------------+
         |                                       |
         v                                       v
+-------------------+                   +-------------------+
| Soybean Meal (44#)|                   | Soybean Oil (11#) |
|   (Protein Feed)  |                   |  (Vegetable Oil)  |
+-------------------+                   +-------------------+

Standard Yield Conversion Factors

One bushel of raw soybeans weighs 60 pounds. When crushed, one bushel yields approximately:

• 44 lbs of Soybean Meal
• 11 lbs of Soybean Oil
• 4 lbs of Soybean Hulls
• 1 lb of waste/moisture loss

Contract Units & Price Quotations

Futures contracts for the soybean complex trade on the Chicago Board of Trade (CBOT) with distinct pricing units:

Gross Processing Margin (GPM) Calculation

To calculate the processor's Gross Processing Margin (GPM) in cents or dollars per bushel, all product prices must be converted to a per-bushel basis:

• Meal Value ($/bu) = Meal Price per Ton * (44 lbs / 2,000 lbs) = Meal Price * 0.022
• Oil Value ($/bu) = Oil Price in $/lb * 11 lbs
• GPM ($/bu) = [Meal Value ($/bu) + Oil Value ($/bu)] - Soybean Price ($/bu)

Step-by-Step GPM Calculation Example:

• Soybeans: $12.00 / bushel
• Soybean Meal: $350.00 / ton
• Soybean Oil: $0.50 / lb (50.00 cents/lb)

1. Calculate Meal Value: $350.00 * 0.022 = $7.70 per bushel
2. Calculate Oil Value: $0.50 * 11 = $5.50 per bushel
3. Calculate Total Meal-and-Oil Value: $7.70 + $5.50 = $13.20 per bushel
4. Calculate GPM: $13.20 - $12.00 = $1.20 per bushel (or 120 cents/bu)

Board Crush Ratios & Trades

To hedge processing margins on the exchange, commercial crushers trade contracts in precise ratios to match physical yields. The standard CBOT Board Crush ratio is 10:11:9:

• 10 contracts of Soybeans (50,000 bushels = 3,000,000 lbs)
• 11 contracts of Soybean Meal (1,100 tons = 2,200,000 lbs meal approx. 73.3% yield)
• 9 contracts of Soybean Oil (540,000 lbs oil approx. 18% yield)

Putting On the Crush vs. Reverse Crush

• Processor's margin hedge: Buy Soybean futures and sell Meal and Oil futures in the appropriate ratio. This position offsets a narrowing cash processing margin: higher input prices or lower output prices hurt the physical business but benefit one or more hedge legs.

• Long crush spread (speculative widening trade): Sell Soybean futures and buy Meal and Oil futures. It profits when output values rise relative to raw beans and the quoted crush margin widens.

• Short or reverse crush spread (speculative narrowing trade): Buy Soybean futures and sell Meal and Oil futures. It profits when the quoted margin narrows. The same futures directions can serve a commercial processor as a hedge, but the economic objective is different: offsetting cash-business risk rather than betting on the quoted spread.

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3. The Petroleum Crack Spread (3:2:1 Ratio)

The petroleum crack spread reflects the refining margin of commercial oil refineries that purchase crude oil and "crack" it into refined petroleum products—primarily gasoline and distillate fuel (heating oil / diesel).

The Standard 3:2:1 Ratio

The industry standard benchmark tested on the Series 3 is the 3:2:1 Crack Spread:

• 3 Barrels of Crude Oil (CL) yield 2 Barrels of RBOB Gasoline (RB) and 1 Barrel of Heating Oil (HO).

Contract Units

NYMEX futures contracts are standardized so that 1 futures contract equals 1,000 barrels (or 42,000 gallons, since 1 barrel = 42 gallons):

• 3 contracts NYMEX Crude Oil (3,000 barrels)
• 2 contracts NYMEX RBOB Gasoline (84,000 gallons = 2,000 barrels)
• 1 contract NYMEX Heating Oil (42,000 gallons = 1,000 barrels)

Crack Margin Formula

Because gasoline and heating oil futures trade in dollars/cents per gallon, prices must be multiplied by 42 to convert to dollars per barrel:

• Gasoline Price ($/bbl) = Gasoline Price ($/gal) * 42
• Heating Oil Price ($/bbl) = Heating Oil Price ($/gal) * 42
• Crack Margin ($/bbl) = [(2 * Gasoline Price/bbl) + (1 * Heating Oil Price/bbl) - (3 * Crude Price/bbl)] / 3

Step-by-Step Crack Calculation Example:

• Crude Oil: $75.00 / barrel
• Gasoline: $2.30 / gallon
• Heating Oil: $2.60 / gallon

1. Convert Refined Products to $/bbl:
   • Gasoline: $2.30 * 42 = $96.60 / bbl
   • Heating Oil: $2.60 * 42 = $109.20 / bbl
2. Calculate Total Refined Product Output (3 bbls):
   • (2 * $96.60) + (1 * $109.20) = $193.20 + $109.20 = $302.40
3. Calculate Total Raw Crude Input (3 bbls):
   • 3 * $75.00 = $225.00
4. Calculate Net Margin for 3 Barrels:
   • $302.40 - $225.00 = $77.40
5. Calculate Crack Spread per Barrel:
   • $77.40 / 3 = $25.90 / barrel

Standard Crack vs. Reverse Crack Trades

• Refiner's 3:2:1 margin hedge: Buy 3 Crude Oil futures, sell 2 Gasoline futures, and sell 1 Heating Oil futures. This offsets deterioration in the cash refining margin.
• Long 3:2:1 crack spread: Sell 3 Crude Oil futures and buy 2 Gasoline plus 1 Heating Oil futures to speculate on a widening product-over-input margin. The opposite position is a short crack spread and benefits from narrowing.

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4. The Spark Spread

The spark spread measures the theoretical gross margin of a gas-fired electric power generation plant. It represents the difference between the wholesale price of electricity (output) and the cost of the natural gas fuel required to generate that electricity (input).

Heat Rate and Efficiency

The key efficiency factor in calculating spark spreads is the plant's Heat Rate—the amount of heat energy (measured in British Thermal Units, Btu) required to generate one kilowatt-hour (kWh) or megawatt-hour (MWh) of electricity.

• Natural Gas futures (NYMEX) trade in $/MMBtu (million Btu).
• Electricity futures trade in $/MWh (megawatt-hour = 1,000 kWh).
• A heat rate such as 7.0 to 8.0 MMBtu per MWh is an illustrative range, not a universal contract constant; use the plant heat rate supplied in the question.

Spark Spread Formula

• Spark Spread ($/MWh) = Electricity Price ($/MWh) - [Heat Rate (MMBtu/MWh) * Natural Gas Price ($/MMBtu)]

Example Calculation:

• Electricity Price: $65.00 / MWh
• Natural Gas Price: $4.00 / MMBtu
• Plant Heat Rate: 7.5 MMBtu / MWh

Spark Spread = $65.00 - (7.5 * $4.00) = $65.00 - $30.00 = $35.00 / MWh

To lock in this generation margin, the power plant operator buys Natural Gas futures (input) and sells Electricity futures (output).

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Processing Spreads Comparison Table