{
  "id": "equivalent-interest-rate-calculator",
  "version": "1.0.0",
  "name": "Equivalent Interest Rate Calculator",
  "shortName": "Equivalent Interest Rate",
  "description": "Convert a nominal annual rate with one compounding frequency to an equivalent nominal rate with another frequency.",
  "category": "Finance",
  "categorySlug": "finance",
  "keywords": [
    "equivalent",
    "interest",
    "rate",
    "calculator",
    "equivalent interest rate calculator"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/equivalent-interest-rate-calculator.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "1.0.0",
    "referenceCoverage": "references-pending",
    "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
    "historicalMetadataDate": "2026-09-01",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/equivalent-interest-rate-calculator/",
    "definition": "/calculator/equivalent-interest-rate-calculator/definition.json",
    "schema": "/calculator/equivalent-interest-rate-calculator/schema.json",
    "llms": "/calculator/equivalent-interest-rate-calculator/llms.txt",
    "legacyDefinition": "/calculator/equivalent-interest-rate-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/equivalent-interest-rate-calculator/?nominalRate=6&sourceCompounds=12&targetCompounds=4",
  "queryParameters": {
    "nominalRate": {
      "label": "Source nominal annual rate",
      "type": "percent",
      "required": true,
      "default": 6
    },
    "sourceCompounds": {
      "label": "Source compounds per year",
      "type": "number",
      "required": true,
      "default": 12
    },
    "targetCompounds": {
      "label": "Target compounds per year",
      "type": "number",
      "required": true,
      "default": 4
    }
  },
  "inputs": [
    {
      "id": "nominalRate",
      "label": "Source nominal annual rate",
      "type": "percent",
      "required": true,
      "defaultValue": 6,
      "min": -99.99,
      "max": 1000,
      "step": 0.001
    },
    {
      "id": "sourceCompounds",
      "label": "Source compounds per year",
      "type": "number",
      "required": true,
      "defaultValue": 12,
      "min": 1,
      "max": 365,
      "step": 1
    },
    {
      "id": "targetCompounds",
      "label": "Target compounds per year",
      "type": "number",
      "required": true,
      "defaultValue": 4,
      "min": 1,
      "max": 365,
      "step": 1
    }
  ],
  "outputs": [
    {
      "id": "equivalentNominalRate",
      "label": "Equivalent target nominal rate",
      "format": "percent",
      "primary": true,
      "digits": 10
    },
    {
      "id": "effectiveAnnualRate",
      "label": "Effective annual rate",
      "format": "percent",
      "digits": 10
    },
    {
      "id": "sourcePeriodicRate",
      "label": "Source periodic rate",
      "format": "percent",
      "digits": 10
    },
    {
      "id": "targetPeriodicRate",
      "label": "Target periodic rate",
      "format": "percent",
      "digits": 10
    }
  ],
  "formula": {
    "expression": "EAR = (1 + j/m)^m − 1; equivalent j₂ = m₂[(1+EAR)^(1/m₂) − 1]"
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "nominalRate": 6,
        "sourceCompounds": 12,
        "targetCompounds": 4
      }
    }
  ],
  "sources": []
}