DERIVATIVES · COMMODITY SUITE

Commodity Derivatives Calculators

A dedicated analytical suite for commodity price risk, futures and forwards, options on futures, spreads, physical-market economics, hedging, swaps and collateral scenarios. Sample values are prefilled so users can see what belongs in each field.

Important: These are educational and analytical calculators. Input validation is designed to reject non-economic model-domain values; it does not validate exchange-specific contract specifications. Commodity contracts differ by exchange, product, delivery location, grade, quotation, currency, contract unit, settlement method and clearing rules. Results are illustrative, not executable quotes, investment advice, legal/accounting advice, regulatory determinations or approved margin/valuation outputs. Verify contract specifications and primary sources before operational use.
01 · FUTURES, FORWARDS & BASIS

Commodity price and contract economics

MODEL GOVERNANCE

Validation boundary

These calculators are client-side educational and analytical models. Inputs are processed in the browser and are not a substitute for exchange, CCP, bank or institutional valuation engines.

Model status: illustrative formulas · internal source review · regression validation recommended before institutional reliance.

Known limitations: contract conventions, exercise style, curves, volatility surfaces, settlement rules, collateral terms, netting, liquidity, location/quality basis and CCP margin methodologies may materially change production results.

Verification rule: independently recompute material outputs and retain inputs, units, model/version, expected result, actual result and tolerance. Where evidence is insufficient: INSUFFICIENT EVIDENCE — VERIFICATION REQUIRED.

Commodity Futures Contract Value & P&L

Calculates contract notional and price-movement P&L using a stated unit quantity and number of contracts.

Sample: 5 contracts × 1,000 units; entry 75; exit 78; Long.

Commodity Forward / Futures Carry

Indicative cost-of-carry relationship with storage/insurance costs and convenience yield, using continuous compounding and Actual/365 maturity conversion.

Sample: spot 75; financing 5%; storage/insurance 2%; convenience yield 1%; 180 days.

Commodity Basis

Measures the commodity basis as Cash/Spot − Futures and expresses the basis relative to spot.

Sample: cash 74; futures 76; 90 days.

Commodity Contract Unit Conversion

Converts a quoted commodity price into contract value using unit quantity and an optional conversion factor.

Sample: $2.50 × 42,000 units × 2 contracts. Change the conversion factor when units differ.
02 · COMMODITY OPTIONS

Options on futures — Black-76 style analysis

Commodity Futures Option — Black-76 Price

Indicative European-style option on a futures price. Black-76 assumes positive forward/futures and strike inputs; it is not a universal model for American-style commodity options or negative-price environments.

Model boundary: Black-76 · continuous compounding · Actual/365 · positive F and K · educational/analytical use.

Sample: F=75, K=78, vol=30%, rate=5%, 90 days, Call. F, K, volatility and maturity must be > 0.

Commodity Option Greeks

Indicative Black-76 Delta, Gamma, Vega and Theta for a European-style futures option, with contract scaling.

Model boundary: Black-76 Greeks · Actual/365 · selected call/put and long/short direction · Theta reported per calendar day, including the r × option-value discounting term. American exercise, early-exercise effects and negative-price models are outside scope.

Sample: ATM; 30% volatility; 90 days; 10 contracts × 1,000 multiplier; Long Call. Black-76, Actual/365; theta is per calendar day.
03 · COMMODITY SPREADS

Calendar, intercommodity and processing spreads

Calendar Spread

Calculates the price differential between two futures contract months and the spread position value. This is not P&L unless an entry spread is also supplied; contract quantity and month specifications must match the exchange contract.

Sample: near 75; deferred 73; 1,000 units; 3 long spreads. Output is spread position value, not entry-to-exit P&L.

Intercommodity Spread

Calculates the price relationship between two related commodities using a specified ratio; prices must be expressed in compatible units and currency.

Sample: A=80, B=72, ratio 1:1. Adjust ratios for the actual hedge structure.

Crack Spread

Illustrative refinery margin between refined product and crude oil. Converts cents/gallon to dollars/barrel using 42 gallons per barrel.

Sample: product $2.50/gal; crude $70/bbl; 42 gal/bbl. This is a simplified 1:1 illustration.

Crush Spread

Illustrative agricultural processing margin using a soybean-crush convention aligned to CME reference methodology. The sample uses 11 lb of oil and 44 lb of meal per 60-lb bushel.

Unit convention: oil price in $/lb · meal price in $/short ton · feedstock in $/bushel · oil yield 11 lb/bushel · meal yield 0.022 short ton/bushel (44/2,000). The generic formula remains price × yield for each output, less feedstock cost.

CME-aligned sample: oil $0.3358/lb; meal $304/short ton; feedstock $9.44/bu.; 11 lb oil and 44 lb meal output per 60-lb bushel. Result is an illustrative gross processing margin before processing costs.
04 · HEDGING, PHYSICAL ECONOMICS & COLLATERAL

Commodity risk-management scenarios

Commodity Hedge Ratio

Minimum-variance hedge ratio using correlation and price volatility, then scales the result to the physical exposure.

Sample: correlation 0.85; physical vol 18%; futures vol 20%; exposure 10m. Correlation must be −1 to +1; volatility and exposure must be > 0.

Storage & Carry Cost

Estimates physical carry cost from storage, insurance, handling and financing over a stated period.

Financing convention: indicative simple-interest financing on the stated flat commodity value; it does not compound or finance accumulated storage/handling costs.

Sample: 10,000 units; storage $0.20 + handling/insurance $0.08 per unit/month; 6 months; value 750k.

Commodity Swap Settlement

Simplified fixed-for-floating commodity swap cash-flow calculation for a single period.

Sample: 10,000 units; fixed 75; floating 78. Actual swaps depend on confirmation, averaging and settlement conventions.

Commodity Margin Stress Scenario

Simple scenario for estimating exposure after an adverse price shock and an indicative margin rate. Not a CCP margin model.

Sample: price 75; adverse shock 12%; 100,000 units; indicative margin rate 10%.
05 · CONTROL & MODEL BOUNDARY

Why commodity calculations need product-specific governance

Commodity derivatives can embed physical delivery, location basis, quality/grade differentials, seasonality and storage constraints. They can also carry convenience yield, currency exposure and contract-specific settlement rules. Calendar spreads and crack spreads are distinct risk structures, not merely generic price differences. CME materials describe them as specialised commodity risk-management structures.

The calculator therefore uses explicit units, assumptions and simplified analytical conventions. Contract-specific quotation, delivery location, grade, conversion factor, averaging method, settlement rule, collateral terms and clearing requirements must be checked before an institutional result is relied upon.

For institutional use, retain contract specification, price source, unit conversion, market-data timestamp, valuation convention, model/version, assumptions, approvals and reconciliation evidence. This supports reproducibility, review, challenge and auditability of the calculation.

IFRS 13 fair value is an exit-price measurement using market-participant assumptions; IFRS 9/IFRS 7 accounting and disclosure conclusions require separate assessment and documentation. These calculators do not determine accounting treatment, fair value hierarchy, hedge-accounting eligibility or regulatory compliance. Where a result depends on exchange or bilateral documentation, verify the applicable primary source before relying on it.