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Funding & basis

Bitcoin cash-and-carry basis calculator

Cash-and-carry pairs a spot purchase with a short dated futures position for a specified expiry. This calculator measures the opening futures premium over spot, subtracts the costs entered and annualizes the resulting net return on your committed capital. It is designed for a fixed-expiry scenario, rather than a perpetual funding trade. The calculation assumes matching base exposure and convergence to a common settlement value. A positive opening premium is not a complete account-level return until financing, margin requirements and the relevant settlement terms are considered.

Explicit assumptionsFormula & methodology includedNo account required

Set your assumptions

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Default values are an illustrative scenario, not current market quotes. Use consistent quote-currency units across your inputs.

Your scenario

ESTIMATED RESULT
Net basis at convergence$190.00
Gross futures premium3.12%
Period return on capital1.9%
Simple annualized return7.71%
Net basis = quantity × (futures sale price − spot purchase price) − total costs. Simple annualized return = net / committed capital × 365 / days.

Fixed-expiry futures model with matched quantity and convergence at settlement. Perpetual funding is excluded. Delivery specifications, margin calls, financing changes and venue failure can change the outcome.

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Explore how the result changes

Sensitivity analysis: only the selected input changes. Other assumptions stay fixed. Points outside the model’s valid range are excluded. This is not a forecast.

Read methodology ↗

Separate the opening basis from perpetual funding

Let S be the spot purchase price and F the price at which the dated future is sold. The gross basis per BTC is F − S. For quantity q, the modeled gross carry is q × (F − S), assuming matching exposures and convergence to the same settlement value.

The gross basis percentage is (F − S) ÷ S × 100. The tool then subtracts total entered costs from the gross carry. Its annualized result uses that net carry divided by committed capital, multiplied by 365 divided by the days to expiry. The denominator is your capital input, not automatically spot notional.

Deduct costs and choose the correct capital denominator

Trading fees, financing and other entered expenses reduce the modeled gross carry. The spot purchase and futures margin also place different demands on capital. A return measured only against spot value will differ from a return measured against the full amount reserved for both legs.

Enter the full capital you intend to reserve for the paired trade. The period return is net carry divided by that amount, and the displayed annualized return scales it using the remaining days. Annualization is not a forecast that you can repeatedly find the same basis or earn the result for an entire year.

Check what happens at expiry and before it

A dated future has settlement terms that determine how the final contract value is established. A cash-settled future can reference an index rather than the exact venue where you own spot. A mismatch between your spot exit value and the contract settlement value can change the result.

The opening basis is locked only within the matched-exposure, common-settlement assumptions. Closing the trade early introduces the exit basis, which this fixed-expiry calculation does not predict. Intermediate futures losses can also require margin even if the paired position has a favorable modeled expiry outcome.

Questions about this tool

Does this calculator include perpetual funding payments?

No. It models the difference between spot and a dated futures price for a fixed expiry. Use a funding calculator for perpetual contracts, where periodic funding rates can change during the holding period.

What does the annualized return use as its denominator?

It uses the total committed capital you enter. The net carry after entered costs is divided by that capital and scaled by 365 divided by days to expiry. It is a simple annualization, without compounding.

Sources and further reading

CME Group: What are Bitcoin futures? ↗

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