Source: https://guthlabs.ai/docs/instruments/ltv-cac-payback-unit-economics/qualification/

instrument qualification / verified-with-binding-errata

# LTV / CAC / Payback Unit Economics qualification

Verified with errata that must be applied at binding time.

Status: **VERIFIED_WITH_ERRATA**Lifecycle: **verified-with-binding-errata**

## Ledger verdict

Verified with errata that must be applied at binding time.

**Status**: VERIFIED_WITH_ERRATA

**Tranche**: tranche-4

**Review vectors**: 4

**Ledger rows**: 1

## Applied errata

No tranche erratum is attached to this unique-name record.

### Stress-test correction

````
{
  "vector_inputs": {
    "ARPU_cents_per_month": 10000,
    "gross_margin_percent": 80,
    "monthly_churn_percent": 5,
    "CAC_cents": 24000
  },
  "wrong_outputs": {
    "LTV_cents": 16000,
    "LTV_CAC_ratio": 6.6666666667,
    "CAC_payback_months": 3
  },
  "corrected_outputs": {
    "LTV_cents": 160000,
    "LTV_CAC_ratio": 6.6666666667,
    "CAC_payback_months": 3
  },
  "method": "LTV = ARPU*margin/churn = 10000*0.8/0.05 = 160000 cents; only LTV_cents was wrong, ratio/payback were already correct (self-consistent with the $-denominated vectors in the same instrument)"
}
````

## Adversarial re-test context

The full catalog was re-tested from boundary, convention, and self-check angles in 2,787 requests. Five genuine computational defects were independently verified and corrected. This page reports the current ledger state for this instrument; it does not imply product deployment or interface qualification.

## Release gate

Bind every attached correction, replay the affected vectors, enforce boundary validation, and preserve evidence before describing the executable surface as qualified.

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/ltv-cac-payback-unit-economics/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/ltv-cac-payback-unit-economics/mechanism/>)[03**Implementation**](<https://guthlabs.ai/docs/instruments/ltv-cac-payback-unit-economics/implementation/>)

## Sources and evidence

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

- `VERIFIED_LEDGER.json`

- `STRESS_TEST_RECEIPT.json`

- `STRESS_TEST_CORRECTIONS_APPLIED.json`