Break-Even Analysis for Business Loan mechanism

Model scope

The arithmetic formula is conditionally valid for contribution-margin break-even on annual debt service. NEEDS_REVIEW is required because the specification ambiguously labels the result as profitable, claims an unsupported units output, and mentions an undefined feasibility check. The honest label should explicitly say this is an educational debt-service break-even estimate, not a profitability or loan-approval determination.

• The formula annual_debt_service / contribution_margin_ratio is standard for the additional revenue needed to generate enough contribution margin to cover annual debt service, provided the ratio is expressed as a decimal.
• The wording "profitably" is overstated: the formula reaches debt-service break-even and does not include a target profit, taxes, owner compensation, cash reserves, or other fixed costs.
• The output claims to provide required revenue/units, but units cannot be calculated without a selling price or revenue per unit.
• The stated feasibility check has no defined formula, inputs, or decision threshold.

Units and conventions

• annual_debt_service is a positive amount in a specified currency and includes all relevant annual principal and interest payments; monthly payments must be annualized consistently.
• contribution_margin_ratio is dimensionless and entered as a decimal fraction, such as 0.40 for 40%, not as 40.
• The contribution margin ratio is based on the same revenue definition and period as the debt service calculation.
• required_incremental_revenue is in the same currency as annual_debt_service.
• Required incremental units would require an additional selling-price-per-unit input.

Inspectable vector

One of 4 source-bound review vectors:

{
  "inputs": {
    "annual_debt_service": 48000,
    "contribution_margin_ratio": 0.4
  },
  "expected_outputs": {
    "required_incremental_revenue": 120000
  },
  "working": "1. Contribution margin ratio = 0.40.\n2. Required revenue = annual debt service / contribution margin ratio.\n3. Required revenue = 48,000 / 0.40 = 120,000.\n4. Expected result: 120,000 currency units of incremental annual revenue."
}

Failure boundary

• A contribution margin ratio of zero causes division by zero.
• A negative contribution margin ratio produces a nonsensical negative revenue requirement; the input should be greater than zero.
• A ratio greater than 1 or entered as a percentage such as 40 instead of 0.40 indicates invalid or misinterpreted input.
• Monthly, quarterly, and annual debt-service periods must not be mixed.
• The formula does not determine whether the business can achieve the required revenue; no sales forecast, capacity, demand, or other feasibility inputs are defined.
• The formula excludes target profit and may omit fixed operating costs, taxes, fees, reserves, and other debt-related costs.

Other records

Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

• VERIFIED_LEDGER.json
• evidence-tranche5/tranche5-results.json