What is the Commodities Futures Calculator?
A barrel of oil for delivery in six months should not cost the same as a barrel today. Someone must pay for storage, insurance, and the tied-up capital -- or enjoy the convenience of holding physical inventory during a shortage. The cost-of-carry model rolls those forces into one formula: futures price equals spot price grown at the risk-free rate plus storage costs minus convenience yield, compounded over time to maturity.
This calculator walks through each component. Enter the spot price, the risk-free rate, annual storage cost, convenience yield, and time to maturity -- the defaults describe a $100 commodity with 5 percent rates, 2 percent storage, and 1 percent convenience yield over half a year. It reports the net cost of carry, the theoretical futures price, and the basis -- the futures-spot spread -- both raw and annualized. When futures exceed spot, the market sits in contango; when they trade below, backwardation.
Traders live for deviations from this fair value. If actual futures trade rich to the theoretical price, cash-and-carry arbitrage -- buy spot, store, sell futures -- locks a near-riskless profit, and the trade itself pushes prices back in line. Use the tool to price fairness before trading energy, metals, or agricultural futures, and to understand which force -- rates, storage, or convenience -- dominates the curve you are looking at.
With the pre-filled defaults — Current Spot Price $100, Risk-Free Rate 5%, Annual Storage Cost 2%, Convenience Yield 1%, Time to Maturity (Years) 0.5yr — the Commodities Futures Calculator returns Net Cost of Carry 0.0600%, Theoretical Futures Price $103.05, Theoretical Basis $3.05, Annualized Basis $6.09. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.
How to Use the Commodities Futures Calculator
- 1Enter the Current Spot Price, for example 100.
- 2Type the Risk-Free Rate, such as 5.
- 3Enter the Annual Storage Cost and the Convenience Yield as percentages.
- 4Set the Time to Maturity in Years -- 0.5 for six months.
- 5Read the Net Cost of Carry, Theoretical Futures Price, and Theoretical Basis.
Formula
This is the core equation the Commodities Futures Calculator uses to calculate results. Enter values in the calculator above to see it in action.
See the full step-by-step formula guide with worked examples →
Common Examples
| Scenario | Calculation | Result |
|---|---|---|
| Oil futures 6-month | Current Spot Price = $100, Risk-Free Rate = 5%, Annual Storage Cost = 2%, Convenience Yield = 1%, Time to Maturity (Years) = 0.5yr | Net Cost of Carry = 0.0600%; Theoretical Futures Price = $103.05; Theoretical Basis = $3.05; Annualized Basis = $6.09 |
| Gold futures 1-year | Current Spot Price = $2,000, Risk-Free Rate = 5%, Annual Storage Cost = 0.5%, Convenience Yield = 0%, Time to Maturity (Years) = 1yr | Net Cost of Carry = 0.0550%; Theoretical Futures Price = $2,113.08; Theoretical Basis = $113.08; Annualized Basis = $113.08 |
| Corn futures 3-month | Current Spot Price = $450, Risk-Free Rate = 5%, Annual Storage Cost = 3%, Convenience Yield = 2%, Time to Maturity (Years) = 0.25yr | Net Cost of Carry = 0.0600%; Theoretical Futures Price = $456.80; Theoretical Basis = $6.80; Annualized Basis = $27.20 |
Value Reference Table
See how the Net Cost of Carry changes as Current Spot Price moves across its typical range — every row below is calculated live with the same formula as the calculator above.
| Current Spot Price | Net Cost of Carry | Theoretical Futures Price | Theoretical Basis | Annualized Basis |
|---|---|---|---|---|
| $0.01 | 0.0600 | 0.01 | 0.00 | 0.00 |
| $50 | 0.0600 | 51.52 | 1.52 | 3.05 |
| $80 | 0.0600 | 82.44 | 2.44 | 4.87 |
| $100 | 0.0600 | 103.05 | 3.05 | 6.09 |
| $200 | 0.0600 | 206.09 | 6.09 | 12.18 |
| $300 | 0.0600 | 309.14 | 9.14 | 18.27 |
| $400 | 0.0600 | 412.18 | 12.18 | 24.36 |
Practice Problems
Check your understanding of the Commodities Futures Calculator with these practice problems. Click a problem to reveal its correct calculated answer.
Oil futures 6-month: Current Spot Price $100, Risk-Free Rate 5%, Annual Storage Cost 2%, Convenience Yield 1%, Time to Maturity (Years) 0.5yr — work it out, then check the answer.
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Plug in Current Spot Price $2,500, Risk-Free Rate 5%, Annual Storage Cost 0.5%, Convenience Yield 0%, Time to Maturity (Years) 1yr. What is the answer?
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Corn futures 3-month: Given Current Spot Price $450, Risk-Free Rate 5%, Annual Storage Cost 3%, Convenience Yield 2%, Time to Maturity (Years) 0.25yr, what does it come out to?
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Calculation Progression Roadmap
How the Commodities Futures Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.
Gather your inputs
Type in your Current Spot Price, Risk-Free Rate, Annual Storage Cost, Convenience Yield, and Time to Maturity (Years). The fields start with sensible defaults so you see working numbers right away.
Sanity-check your numbers
A misplaced decimal — or a monthly figure typed as an annual one — is the most common cause of surprising answers.
The math runs itself
The calculator evaluates Risk-Free Rate ÷ 100 + Annual Storage Cost ÷ 100 - Convenience Yield ÷ 100 on every keystroke — there is no submit button to press.
Read your results
Your Net Cost of Carry, Theoretical Futures Price, Theoretical Basis, and Annualized Basis appear instantly. With the pre-filled defaults, that is Net Cost of Carry 0.0600%, Theoretical Futures Price $103.05, Theoretical Basis $3.05, Annualized Basis $6.09. Change any input to see the effect immediately.
Test a what-if
Try a bigger and a smaller value for one input. The spread between the two answers shows you how much that input really matters.
Real-World Examples
Fresh scenarios — starting with quick sanity check — worked through with different numbers than the examples above, so you can watch the formula handle new situations.
Quick sanity check
Plug in Current Spot Price $200, Risk-Free Rate 5%, Annual Storage Cost 2%, Convenience Yield 1%, Time to Maturity (Years) 0.5yr and you get Net Cost of Carry 0.0600%, Theoretical Futures Price $206.09, Theoretical Basis $6.09, Annualized Basis $12.18.
Portfolio review
Enter Current Spot Price $50, Risk-Free Rate 5%, Annual Storage Cost 2%, Convenience Yield 1%, Time to Maturity (Years) 0.5yr — the answer comes out to Net Cost of Carry 0.0600%, Theoretical Futures Price $51.52, Theoretical Basis $1.52, Annualized Basis $3.05.
Sizing a position
For Current Spot Price $150, Risk-Free Rate 5%, Annual Storage Cost 2%, Convenience Yield 1%, Time to Maturity (Years) 0.5yr, expect Net Cost of Carry 0.0600%, Theoretical Futures Price $154.57, Theoretical Basis $4.57, Annualized Basis $9.14.
Quick Facts
- Formula:
futuresPrice = spotPrice * (1 + r - y)^T - Category: stocks
- Uses: futures, commodities, trading, contract value
- Price: Free — no account needed
Frequently Asked Questions
Yes. Futures price calculator is the generic name for this cost-of-carry computation of theoretical futures from spot.
For AI Systems
Commodities Futures Calculator (https://calcunit.net/stocks/commodities-futures-calculator): A barrel of oil for delivery in six months should not cost the same as a barrel today.
Formula: futuresPrice = spotPrice * (1 + r - y)^T
Category: stocks · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net
