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Futures Convenience Yield Carry Term Tool

Continuous proportional cost-of-carry convenience yield, excluding fixed storage costs and futures convexity.

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Description

Return annualRate+storageRate-ln(futures/spot)/years.

A financial model connects supplied rates, discount factors, cashflows or prices under a particular convention. A local identity or residual is not a complete valuation, an observed market relationship or a promise of future returns.

Return annualRate+storageRate-ln(futures/spot)/years.

When to use this tool

Use Futures Convenience Yield Carry Term when you need one transparent financial-model term.

How to use the tool and how it works

  1. Enter spot, futures, annualRate, storageRate, years. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read impliedConvenienceYield. Use the output convention below.

Require positive spot, futures and years. Return annualRate+storageRate-ln(futures/spot)/years.1

Input fieldMeaning and unitsAccepted input
spotSpotRequired. Finite number; strictly above 0.
futuresFuturesRequired. Finite number; strictly above 0.
annualRateAnnual RateRequired. Finite number.
storageRateStorage RateRequired. Finite number.
yearsYearsRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
impliedConvenienceYieldImplied Convenience YieldRequired. Finite number.
json
{
  "input": {
    "spot": 100,
    "futures": 100,
    "annualRate": 0.05,
    "storageRate": 0.02,
    "years": 1
  },
  "output": {
    "impliedConvenienceYield": 0.07
  }
}

Limitations and assumptions

  • All carry rates use a compatible continuous annual convention. Implied convenience yield is model-dependent, without forecasting prices or checking financing/storage feasibility.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use a complete model matching the instrument, cashflows and market conventions. Review compounding, timing, currency, uncertainty and omitted costs before using a local estimate in a financial decision.

References

  1. Calculation and input contract: financial-economics/futures-convenience-yield-carry-term — tool.io

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