{"product_id":"ear","title":"EAR Calculator","description":"\u003cstyle\u003e\n.ear-calculator {\n  --ink: #0f172a;\n  --muted: #475569;\n  --border: #e2e8f0;\n  --surface: #ffffff;\n  --tint: #f8fafc;\n  --primary: #1d4ed8;\n  --accent: #c2410c;\n  --accent-hover: #9a3412;\n  --chart-1: #1e40af;\n  --chart-2: #0d9488;\n  --chart-3: #7c3aed;\n  --chart-4: #be185d;\n  --chart-5: #334155;\n  container-type: inline-size;\n  width: 100%;\n  color: var(--ink);\n  background: var(--surface);\n  font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, Arial, sans-serif;\n  font-size: 15px;\n  line-height: 1.55;\n}\n.ear-calculator,\n.ear-calculator *,\n.ear-calculator *::before,\n.ear-calculator *::after {\n  box-sizing: border-box;\n}\n.ear-calculator .ear-shell {\n  width: 100%;\n  max-width: 1200px;\n  margin: 0 auto;\n  padding: 24px 16px 32px;\n}\n.ear-calculator .ear-header,\n.ear-calculator .ear-toolbar,\n.ear-calculator .ear-workspace,\n.ear-calculator .ear-chart-card,\n.ear-calculator .ear-table-card,\n.ear-calculator .ear-education,\n.ear-calculator .ear-header-main,\n.ear-calculator .ear-summary-pills,\n.ear-calculator .ear-panel,\n.ear-calculator .ear-field-grid,\n.ear-calculator .ear-field,\n.ear-calculator .ear-results-grid,\n.ear-calculator .ear-result-card,\n.ear-calculator .ear-chart-stack,\n.ear-calculator .ear-chart-plot,\n.ear-calculator .ear-legend,\n.ear-calculator .ear-legend-row,\n.ear-calculator .ear-table-wrap,\n.ear-calculator .ear-table-note,\n.ear-calculator .ear-chart-caption,\n.ear-calculator .ear-education-grid,\n.ear-calculator .ear-education-block {\n  min-width: 0;\n}\n.ear-calculator .ear-header {\n  display: grid;\n  gap: 16px;\n  padding: 24px;\n  border: 1px solid var(--border);\n  border-radius: 8px;\n  background: linear-gradient(180deg, #ffffff 0%, #f8fafc 100%);\n  box-shadow: 0 1px 2px rgba(15, 23, 42, .06);\n}\n.ear-calculator .ear-title {\n  margin: 0;\n  font-size: 24px;\n  line-height: 1.25;\n  font-weight: 700;\n  letter-spacing: -.02em;\n}\n.ear-calculator .ear-subtitle {\n  margin: 8px 0 0;\n  color: var(--muted);\n  max-width: 760px;\n}\n.ear-calculator .ear-summary-pills {\n  display: flex;\n  flex-wrap: wrap;\n  gap: 8px;\n}\n.ear-calculator .ear-pill {\n  display: inline-flex;\n  align-items: center;\n  gap: 6px;\n  min-height: 32px;\n  padding: 6px 10px;\n  border: 1px solid #cbd5e1;\n  border-radius: 999px;\n  background: #ffffff;\n  color: #334155;\n  font-size: 13px;\n  font-weight: 600;\n  font-variant-numeric: tabular-nums;\n}\n.ear-calculator .ear-pill strong {\n  color: var(--ink);\n}\n.ear-calculator .ear-toolbar {\n  display: flex;\n  flex-wrap: wrap;\n  gap: 8px;\n  align-items: center;\n  margin: 16px 0;\n}\n.ear-calculator .ear-button {\n  appearance: none;\n  min-height: 44px;\n  border: 1px solid transparent;\n  border-radius: 6px;\n  padding: 11px 18px;\n  font: inherit;\n  font-weight: 700;\n  line-height: 1.2;\n  cursor: pointer;\n  transition: background-color .15s ease, border-color .15s ease, box-shadow .15s ease, transform .15s ease;\n}\n.ear-calculator .ear-button:hover {\n  box-shadow: 0 2px 5px rgba(15, 23, 42, .12);\n}\n.ear-calculator .ear-button:active {\n  transform: translateY(1px);\n}\n.ear-calculator .ear-button:focus-visible,\n.ear-calculator input:focus-visible,\n.ear-calculator select:focus-visible,\n.ear-calculator summary:focus-visible,\n.ear-calculator a:focus-visible {\n  outline: 3px solid rgba(29, 78, 216, .35);\n  outline-offset: 2px;\n}\n.ear-calculator .ear-download {\n  display: inline-flex;\n  align-items: center;\n  gap: 10px;\n  white-space: nowrap;\n  background: var(--accent);\n  color: #ffffff;\n  border-color: var(--accent);\n}\n.ear-calculator .ear-download:hover {\n  background: var(--accent-hover);\n  border-color: var(--accent-hover);\n}\n.ear-calculator .ear-download-icon {\n  width: 18px;\n  height: 18px;\n  flex: 0 0 18px;\n}\n.ear-calculator .ear-reset {\n  background: #ffffff;\n  color: var(--ink);\n  border-color: #cbd5e1;\n}\n.ear-calculator .ear-reset:hover {\n  background: var(--tint);\n  border-color: #94a3b8;\n}\n.ear-calculator .ear-workspace {\n  display: grid;\n  grid-template-columns: minmax(0, 1fr);\n  gap: 16px;\n  align-items: start;\n}\n.ear-calculator .ear-panel,\n.ear-calculator .ear-chart-card,\n.ear-calculator .ear-table-card,\n.ear-calculator .ear-education {\n  border: 1px solid var(--border);\n  border-radius: 8px;\n  background: var(--surface);\n  box-shadow: 0 1px 2px rgba(15, 23, 42, .06);\n}\n.ear-calculator .ear-panel {\n  padding: 24px;\n}\n.ear-calculator .ear-section-title {\n  margin: 0 0 16px;\n  font-size: 18px;\n  line-height: 1.35;\n  font-weight: 650;\n  letter-spacing: -.01em;\n}\n.ear-calculator .ear-field-grid {\n  display: grid;\n  grid-template-columns: repeat(auto-fit, minmax(210px, 1fr));\n  gap: 16px;\n}\n.ear-calculator .ear-field {\n  display: flex;\n  flex-direction: column;\n  gap: 6px;\n}\n.ear-calculator .ear-label {\n  display: block;\n  color: var(--ink);\n  font-size: 14px;\n  line-height: 1.35;\n  font-weight: 600;\n}\n.ear-calculator .ear-input,\n.ear-calculator .ear-select {\n  width: 100%;\n  min-height: 44px;\n  border: 1px solid #94a3b8;\n  border-radius: 6px;\n  background: #ffffff;\n  color: var(--ink);\n  padding: 10px 12px;\n  font: inherit;\n  font-size: 15px;\n  font-variant-numeric: tabular-nums;\n}\n.ear-calculator .ear-input:hover,\n.ear-calculator .ear-select:hover {\n  border-color: #64748b;\n}\n.ear-calculator .ear-help,\n.ear-calculator .ear-error {\n  min-height: 20px;\n  margin: 0;\n  font-size: 13px;\n  line-height: 1.5;\n  font-weight: 500;\n}\n.ear-calculator .ear-help {\n  color: var(--muted);\n}\n.ear-calculator .ear-error {\n  color: #b91c1c;\n}\n.ear-calculator .ear-input[aria-invalid=\"true\"],\n.ear-calculator .ear-select[aria-invalid=\"true\"] {\n  border-color: #b91c1c;\n  box-shadow: 0 0 0 1px #b91c1c;\n}\n.ear-calculator .ear-results-panel {\n  background: var(--tint);\n}\n.ear-calculator .ear-primary-result {\n  padding: 20px;\n  border: 1px solid #bfdbfe;\n  border-radius: 8px;\n  background: #eff6ff;\n}\n.ear-calculator .ear-primary-label {\n  margin: 0;\n  color: #1e3a8a;\n  font-size: 13px;\n  font-weight: 700;\n  text-transform: uppercase;\n  letter-spacing: .06em;\n}\n.ear-calculator .ear-primary-value {\n  margin: 4px 0 0;\n  color: #172554;\n  font-size: 30px;\n  line-height: 1.2;\n  font-weight: 700;\n  font-variant-numeric: tabular-nums;\n  overflow-wrap: anywhere;\n}\n.ear-calculator .ear-primary-note {\n  margin: 8px 0 0;\n  color: #1e3a8a;\n  font-size: 13px;\n  font-weight: 500;\n}\n.ear-calculator .ear-results-grid {\n  display: grid;\n  grid-template-columns: repeat(2, minmax(0, 1fr));\n  gap: 12px;\n  margin-top: 12px;\n}\n.ear-calculator .ear-result-card {\n  padding: 16px;\n  border: 1px solid var(--border);\n  border-radius: 8px;\n  background: #ffffff;\n}\n.ear-calculator .ear-result-label {\n  margin: 0;\n  color: var(--muted);\n  font-size: 13px;\n  font-weight: 600;\n}\n.ear-calculator .ear-result-value {\n  margin: 4px 0 0;\n  color: var(--ink);\n  font-size: 20px;\n  line-height: 1.3;\n  font-weight: 700;\n  font-variant-numeric: tabular-nums;\n  overflow-wrap: anywhere;\n}\n.ear-calculator .ear-interpretation {\n  margin: 16px 0 0;\n  padding: 12px;\n  border: 1px solid #cbd5e1;\n  border-radius: 6px;\n  background: #ffffff;\n  color: #334155;\n  font-size: 13px;\n  font-weight: 500;\n}\n.ear-calculator .ear-chart-card,\n.ear-calculator .ear-table-card,\n.ear-calculator .ear-education {\n  margin-top: 16px;\n  padding: 24px;\n}\n.ear-calculator .ear-card-heading {\n  display: grid;\n  gap: 4px;\n  margin-bottom: 16px;\n}\n.ear-calculator .ear-card-heading .ear-section-title {\n  margin: 0;\n}\n.ear-calculator .ear-card-subtitle {\n  margin: 0;\n  color: var(--muted);\n  font-size: 13px;\n  font-weight: 500;\n}\n.ear-calculator .ear-chart-stack {\n  display: grid;\n  gap: 16px;\n}\n.ear-calculator .ear-chart-plot {\n  width: 100%;\n  min-height: 260px;\n  display: grid;\n  place-items: center;\n}\n.ear-calculator .ear-chart-svg {\n  display: block;\n  width: 100%;\n  height: auto;\n  max-height: 320px;\n  overflow: visible;\n}\n.ear-calculator .ear-chart-gridline {\n  stroke: #cbd5e1;\n  stroke-width: 1;\n}\n.ear-calculator .ear-chart-axis {\n  stroke: #64748b;\n  stroke-width: 1.25;\n}\n.ear-calculator .ear-chart-line {\n  fill: none;\n  stroke: var(--chart-1);\n  stroke-width: 3.5;\n  stroke-linecap: round;\n  stroke-linejoin: round;\n}\n.ear-calculator .ear-chart-area {\n  fill: rgba(30, 64, 175, .10);\n}\n.ear-calculator .ear-chart-dot {\n  fill: #ffffff;\n  stroke: var(--chart-1);\n  stroke-width: 3;\n}\n.ear-calculator .ear-chart-text {\n  fill: #334155;\n  font-size: 13px;\n  font-weight: 500;\n  font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, Arial, sans-serif;\n}\n.ear-calculator .ear-chart-value {\n  fill: #172554;\n  font-size: 13px;\n  font-weight: 700;\n  font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, Arial, sans-serif;\n}\n.ear-calculator .ear-legend:empty,\n.ear-calculator .ear-chart-caption:empty {\n  display: none;\n}\n.ear-calculator .ear-chart-card.ear-chart-is-empty .ear-chart-plot {\n  min-height: 0;\n}\n.ear-calculator .ear-chart-card.ear-chart-is-empty .ear-chart-stack {\n  gap: 0;\n}\n.ear-calculator .ear-chart-empty {\n  width: 100%;\n  padding: 24px;\n  border: 1px dashed #94a3b8;\n  border-radius: 6px;\n  background: var(--tint);\n  color: var(--muted);\n  text-align: center;\n  font-size: 13px;\n  font-weight: 600;\n}\n.ear-calculator .ear-legend {\n  display: grid;\n  justify-content: center;\n  gap: 8px;\n  margin-top: 16px;\n}\n.ear-calculator .ear-legend-row {\n  display: grid;\n  grid-template-columns: 18px auto auto;\n  align-items: center;\n  justify-content: start;\n  gap: 8px 12px;\n  color: #334155;\n  font-size: 13px;\n  font-weight: 600;\n  font-variant-numeric: tabular-nums;\n}\n.ear-calculator .ear-legend-line {\n  width: 18px;\n  height: 4px;\n  border-radius: 999px;\n  background: var(--chart-1);\n}\n.ear-calculator .ear-legend-value {\n  color: var(--ink);\n  font-weight: 700;\n}\n.ear-calculator .ear-chart-caption,\n.ear-calculator .ear-table-note {\n  margin-top: 16px;\n  padding: 10px 12px;\n  border: 1px solid #dbeafe;\n  border-radius: 6px;\n  background: #eff6ff;\n  color: #334155;\n  font-size: 13px;\n  font-weight: 500;\n}\n.ear-calculator .ear-safe-stack .ear-chart-stack {\n  grid-template-columns: minmax(0, 1fr);\n  gap: 20px;\n}\n.ear-calculator .ear-safe-stack .ear-legend {\n  margin-top: 20px;\n}\n.ear-calculator .ear-safe-stack .ear-chart-caption {\n  margin-top: 20px;\n}\n.ear-calculator .ear-table-wrap {\n  width: 100%;\n  overflow-x: auto;\n  border: 1px solid var(--border);\n  border-radius: 6px;\n  background: #ffffff;\n}\n.ear-calculator .ear-table {\n  width: 100%;\n  min-width: 760px;\n  border-collapse: collapse;\n  font-variant-numeric: tabular-nums;\n}\n.ear-calculator .ear-table th,\n.ear-calculator .ear-table td {\n  padding: 11px 12px;\n  border-bottom: 1px solid var(--border);\n  text-align: left;\n  vertical-align: middle;\n}\n.ear-calculator .ear-table th {\n  background: #0f172a;\n  color: #ffffff;\n  font-size: 13px;\n  font-weight: 700;\n  white-space: nowrap;\n}\n.ear-calculator .ear-table td {\n  color: #1e293b;\n  font-size: 13px;\n  font-weight: 500;\n}\n.ear-calculator .ear-table tbody tr:last-child td {\n  border-bottom: 0;\n}\n.ear-calculator .ear-table tbody tr:hover td {\n  background: var(--tint);\n}\n.ear-calculator .ear-table .ear-num {\n  text-align: right;\n  white-space: nowrap;\n}\n.ear-calculator .ear-table .ear-selected-row td {\n  background: #eff6ff;\n  color: #172554;\n  font-weight: 700;\n}\n.ear-calculator .ear-safe-table-stack .ear-table-note {\n  margin-top: 20px;\n}\n.ear-calculator .ear-education {\n  line-height: 1.7;\n}\n.ear-calculator .ear-education \u003e .ear-section-title {\n  margin-bottom: 8px;\n}\n.ear-calculator .ear-education-intro {\n  margin: 0 0 20px;\n  color: var(--muted);\n}\n.ear-calculator .ear-education-grid {\n  display: grid;\n  grid-template-columns: minmax(0, 1fr);\n  gap: 24px;\n}\n.ear-calculator .ear-education-block h3 {\n  margin: 0 0 8px;\n  color: var(--ink);\n  font-size: 18px;\n  line-height: 1.4;\n  font-weight: 650;\n}\n.ear-calculator .ear-education-block p {\n  margin: 0 0 12px;\n}\n.ear-calculator .ear-education-block ul {\n  margin: 0 0 12px;\n  padding-left: 20px;\n}\n.ear-calculator .ear-education-block li {\n  margin-bottom: 8px;\n}\n.ear-calculator .ear-formula {\n  overflow-wrap: anywhere;\n  padding: 12px;\n  border-left: 4px solid var(--primary);\n  background: var(--tint);\n  color: #1e293b;\n  font-weight: 700;\n  font-variant-numeric: tabular-nums;\n}\n.ear-calculator .ear-education a {\n  color: #1d4ed8;\n  text-decoration: underline;\n  text-underline-offset: 2px;\n}\n.ear-calculator .ear-education a:hover {\n  color: #1e40af;\n}\n.ear-calculator .ear-sr-only {\n  position: absolute;\n  width: 1px;\n  height: 1px;\n  padding: 0;\n  margin: -1px;\n  overflow: hidden;\n  clip: rect(0, 0, 0, 0);\n  white-space: nowrap;\n  border: 0;\n}\n@container (min-width: 640px) {\n  .ear-calculator .ear-header {\n    grid-template-columns: minmax(0, 1fr) auto;\n    align-items: center;\n  }\n  .ear-calculator .ear-summary-pills {\n    justify-content: flex-end;\n    max-width: 420px;\n  }\n  .ear-calculator .ear-education-grid {\n    grid-template-columns: repeat(2, minmax(0, 1fr));\n  }\n}\n@container (min-width: 900px) {\n  .ear-calculator .ear-workspace {\n    grid-template-columns: minmax(0, .92fr) minmax(0, 1.08fr);\n  }\n}\n@container (max-width: 639px) {\n  .ear-calculator .ear-shell {\n    padding: 16px 12px 24px;\n  }\n  .ear-calculator .ear-header,\n  .ear-calculator .ear-panel,\n  .ear-calculator .ear-chart-card,\n  .ear-calculator .ear-table-card,\n  .ear-calculator .ear-education {\n    padding: 16px;\n  }\n  .ear-calculator .ear-field-grid {\n    grid-template-columns: minmax(0, 1fr);\n  }\n  .ear-calculator .ear-results-grid {\n    grid-template-columns: minmax(0, 1fr);\n  }\n  .ear-calculator .ear-button {\n    flex: 1 1 auto;\n    justify-content: center;\n  }\n  .ear-calculator .ear-chart-plot {\n    min-height: 240px;\n  }\n  .ear-calculator .ear-legend {\n    justify-content: start;\n  }\n}\n\u003c\/style\u003e\n\u003cdiv class=\"ear-calculator\" data-calculator-root\u003e\n  \u003cdiv class=\"ear-shell\"\u003e\n    \u003csection class=\"ear-header\" aria-labelledby=\"ear-title\"\u003e\n      \u003cdiv class=\"ear-header-main\"\u003e\n        \u003ch2 class=\"ear-title\" id=\"ear-title\"\u003eEffective Annual Rate Calculator\u003c\/h2\u003e\n        \u003cp class=\"ear-subtitle\"\u003eConvert a stated nominal rate into its true one-year rate after compounding, then project a balance over your chosen term.\u003c\/p\u003e\n      \u003c\/div\u003e\n      \u003cdiv class=\"ear-summary-pills\" aria-label=\"Live calculation summary\"\u003e\n        \u003cspan class=\"ear-pill\"\u003eNominal \u003cstrong data-ear-pill=\"nominal\"\u003e12.00%\u003c\/strong\u003e\u003c\/span\u003e\n        \u003cspan class=\"ear-pill\"\u003eFrequency \u003cstrong data-ear-pill=\"frequency\"\u003eMonthly\u003c\/strong\u003e\u003c\/span\u003e\n        \u003cspan class=\"ear-pill\"\u003eEAR \u003cstrong data-ear-pill=\"ear\"\u003e12.68%\u003c\/strong\u003e\u003c\/span\u003e\n        \u003cspan class=\"ear-pill\"\u003eEnding balance \u003cstrong data-ear-pill=\"balance\"\u003e$1,126.83\u003c\/strong\u003e\u003c\/span\u003e\n      \u003c\/div\u003e\n    \u003c\/section\u003e\n\n    \u003cdiv class=\"ear-toolbar\" aria-label=\"Calculator actions\"\u003e\n      \u003cbutton class=\"ear-button ear-download\" type=\"button\" data-ear-action=\"download\"\u003e\n        \u003csvg class=\"ear-download-icon\" viewbox=\"0 0 24 24\" aria-hidden=\"true\" focusable=\"false\"\u003e\n          \u003cpath d=\"M12 3v11m0 0 4-4m-4 4-4-4M5 17v3h14v-3\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\" stroke-linecap=\"round\" stroke-linejoin=\"round\"\u003e\u003c\/path\u003e\n        \u003c\/svg\u003e\n        \u003cspan\u003eDownload Excel\u003c\/span\u003e\n      \u003c\/button\u003e\n      \u003cbutton class=\"ear-button ear-reset\" type=\"button\" data-ear-action=\"reset\"\u003eReset\u003c\/button\u003e\n    \u003c\/div\u003e\n\n    \u003cdiv class=\"ear-workspace\"\u003e\n      \u003csection class=\"ear-panel\" aria-labelledby=\"ear-inputs-title\"\u003e\n        \u003ch3 class=\"ear-section-title\" id=\"ear-inputs-title\"\u003eRate and balance inputs\u003c\/h3\u003e\n        \u003cdiv class=\"ear-field-grid\"\u003e\n          \u003cdiv class=\"ear-field\"\u003e\n            \u003clabel class=\"ear-label\" for=\"ear-rate\"\u003eNominal annual interest rate\u003c\/label\u003e\n            \u003cinput class=\"ear-input\" id=\"ear-rate\" data-ear-input=\"rate\" type=\"text\" inputmode=\"decimal\" value=\"12%\" aria-describedby=\"ear-rate-help ear-rate-error\"\u003e\n            \u003cp class=\"ear-help\" id=\"ear-rate-help\"\u003eThe quoted yearly rate before compounding.\u003c\/p\u003e\n            \u003cp class=\"ear-error\" id=\"ear-rate-error\" data-ear-error=\"rate\" aria-live=\"polite\"\u003e\u003c\/p\u003e\n          \u003c\/div\u003e\n\n          \u003cdiv class=\"ear-field\"\u003e\n            \u003clabel class=\"ear-label\" for=\"ear-frequency\"\u003eCompounding frequency\u003c\/label\u003e\n            \u003cselect class=\"ear-select\" id=\"ear-frequency\" data-ear-input=\"frequency\" aria-describedby=\"ear-frequency-help ear-frequency-error\"\u003e\n              \u003coption value=\"annual\"\u003eAnnual\u003c\/option\u003e\n              \u003coption value=\"semiannual\"\u003eSemi-annual\u003c\/option\u003e\n              \u003coption value=\"quarterly\"\u003eQuarterly\u003c\/option\u003e\n              \u003coption value=\"monthly\" selected\u003eMonthly\u003c\/option\u003e\n              \u003coption value=\"weekly\"\u003eWeekly\u003c\/option\u003e\n              \u003coption value=\"daily\"\u003eDaily\u003c\/option\u003e\n              \u003coption value=\"continuous\"\u003eContinuous\u003c\/option\u003e\n            \u003c\/select\u003e\n            \u003cp class=\"ear-help\" id=\"ear-frequency-help\"\u003eHow often accrued interest is added to the balance.\u003c\/p\u003e\n            \u003cp class=\"ear-error\" id=\"ear-frequency-error\" data-ear-error=\"frequency\" aria-live=\"polite\"\u003e\u003c\/p\u003e\n          \u003c\/div\u003e\n\n          \u003cdiv class=\"ear-field\"\u003e\n            \u003clabel class=\"ear-label\" for=\"ear-term\"\u003eTerm in years\u003c\/label\u003e\n            \u003cinput class=\"ear-input\" id=\"ear-term\" data-ear-input=\"term\" type=\"text\" inputmode=\"decimal\" value=\"1\" aria-describedby=\"ear-term-help ear-term-error\"\u003e\n            \u003cp class=\"ear-help\" id=\"ear-term-help\"\u003eProjection length; decimals such as 2.5 are allowed.\u003c\/p\u003e\n            \u003cp class=\"ear-error\" id=\"ear-term-error\" data-ear-error=\"term\" aria-live=\"polite\"\u003e\u003c\/p\u003e\n          \u003c\/div\u003e\n\n          \u003cdiv class=\"ear-field\"\u003e\n            \u003clabel class=\"ear-label\" for=\"ear-balance\"\u003eInitial balance\u003c\/label\u003e\n            \u003cinput class=\"ear-input\" id=\"ear-balance\" data-ear-input=\"balance\" type=\"text\" inputmode=\"decimal\" value=\"$1,000.00\" aria-describedby=\"ear-balance-help ear-balance-error\"\u003e\n            \u003cp class=\"ear-help\" id=\"ear-balance-help\"\u003eStarting principal for the future-value projection.\u003c\/p\u003e\n            \u003cp class=\"ear-error\" id=\"ear-balance-error\" data-ear-error=\"balance\" aria-live=\"polite\"\u003e\u003c\/p\u003e\n          \u003c\/div\u003e\n        \u003c\/div\u003e\n      \u003c\/section\u003e\n\n      \u003csection class=\"ear-panel ear-results-panel\" aria-labelledby=\"ear-results-title\"\u003e\n        \u003ch3 class=\"ear-section-title\" id=\"ear-results-title\"\u003eLive results\u003c\/h3\u003e\n        \u003cdiv class=\"ear-primary-result\"\u003e\n          \u003cp class=\"ear-primary-label\"\u003eEffective annual rate\u003c\/p\u003e\n          \u003cp class=\"ear-primary-value\" data-ear-output=\"ear\"\u003e12.6825%\u003c\/p\u003e\n          \u003cp class=\"ear-primary-note\" data-ear-output=\"ear-note\"\u003eThe effective rate is 0.6825 percentage points above the nominal rate.\u003c\/p\u003e\n        \u003c\/div\u003e\n        \u003cdiv class=\"ear-results-grid\"\u003e\n          \u003cdiv class=\"ear-result-card\"\u003e\n            \u003cp class=\"ear-result-label\"\u003ePeriodic rate\u003c\/p\u003e\n            \u003cp class=\"ear-result-value\" data-ear-output=\"periodic\"\u003e1.0000%\u003c\/p\u003e\n          \u003c\/div\u003e\n          \u003cdiv class=\"ear-result-card\"\u003e\n            \u003cp class=\"ear-result-label\"\u003eCompounding periods per year\u003c\/p\u003e\n            \u003cp class=\"ear-result-value\" data-ear-output=\"periods\"\u003e12\u003c\/p\u003e\n          \u003c\/div\u003e\n          \u003cdiv class=\"ear-result-card\"\u003e\n            \u003cp class=\"ear-result-label\"\u003eFinal balance\u003c\/p\u003e\n            \u003cp class=\"ear-result-value\" data-ear-output=\"final\"\u003e$1,126.83\u003c\/p\u003e\n          \u003c\/div\u003e\n          \u003cdiv class=\"ear-result-card\"\u003e\n            \u003cp class=\"ear-result-label\"\u003eTotal interest\u003c\/p\u003e\n            \u003cp class=\"ear-result-value\" data-ear-output=\"interest\"\u003e$126.83\u003c\/p\u003e\n          \u003c\/div\u003e\n        \u003c\/div\u003e\n        \u003cp class=\"ear-interpretation\" data-ear-output=\"interpretation\"\u003eAt 12.00% nominal interest compounded monthly, $1,000.00 grows to $1,126.83 after 1 year.\u003c\/p\u003e\n        \u003cdiv class=\"ear-sr-only\" aria-live=\"polite\" data-ear-live\u003eEffective annual rate 12.6825 percent.\u003c\/div\u003e\n      \u003c\/section\u003e\n    \u003c\/div\u003e\n\n    \u003csection class=\"ear-chart-card\" data-ear-chart-card aria-labelledby=\"ear-chart-title\"\u003e\n      \u003cdiv class=\"ear-card-heading\"\u003e\n        \u003ch3 class=\"ear-section-title\" id=\"ear-chart-title\"\u003eHow compounding frequency changes the effective rate\u003c\/h3\u003e\n        \u003cp class=\"ear-card-subtitle\"\u003eThe nominal rate stays fixed while the number of compounding periods changes.\u003c\/p\u003e\n      \u003c\/div\u003e\n      \u003cdiv class=\"ear-chart-stack\"\u003e\n        \u003cdiv class=\"ear-chart-plot\" data-ear-chart-plot\u003e\u003c\/div\u003e\n        \u003cdiv class=\"ear-legend\" data-ear-chart-legend\u003e\u003c\/div\u003e\n        \u003cdiv class=\"ear-chart-caption\" data-ear-chart-caption\u003e\u003c\/div\u003e\n        \u003cdiv class=\"ear-sr-only\" data-ear-chart-summary\u003e\u003c\/div\u003e\n      \u003c\/div\u003e\n    \u003c\/section\u003e\n\n    \u003csection class=\"ear-table-card\" data-ear-table-card aria-labelledby=\"ear-table-title\"\u003e\n      \u003cdiv class=\"ear-card-heading\"\u003e\n        \u003ch3 class=\"ear-section-title\" id=\"ear-table-title\"\u003eFrequency comparison\u003c\/h3\u003e\n        \u003cp class=\"ear-card-subtitle\"\u003eEach row applies the same nominal rate and starting balance for one year.\u003c\/p\u003e\n      \u003c\/div\u003e\n      \u003cdiv class=\"ear-table-wrap\" data-ear-table-wrap\u003e\n        \u003ctable class=\"ear-table\"\u003e\n          \u003cthead\u003e\n            \u003ctr\u003e\n              \u003cth scope=\"col\"\u003eFrequency\u003c\/th\u003e\n              \u003cth scope=\"col\" class=\"ear-num\"\u003ePeriods\/year\u003c\/th\u003e\n              \u003cth scope=\"col\" class=\"ear-num\"\u003ePeriodic rate\u003c\/th\u003e\n              \u003cth scope=\"col\" class=\"ear-num\"\u003eEAR\u003c\/th\u003e\n              \u003cth scope=\"col\" class=\"ear-num\"\u003eEnding balance\u003c\/th\u003e\n              \u003cth scope=\"col\" class=\"ear-num\"\u003eInterest\u003c\/th\u003e\n            \u003c\/tr\u003e\n          \u003c\/thead\u003e\n          \u003ctbody data-ear-table-body\u003e\u003c\/tbody\u003e\n        \u003c\/table\u003e\n      \u003c\/div\u003e\n      \u003cdiv class=\"ear-table-note\" data-ear-table-note\u003eDaily compounding uses 365.242 days per year. Continuous compounding uses the exponential limit rather than a finite number of periods.\u003c\/div\u003e\n    \u003c\/section\u003e\n\n    \u003csection class=\"ear-education\" aria-labelledby=\"ear-education-title\"\u003e\n      \u003ch3 class=\"ear-section-title\" id=\"ear-education-title\"\u003eUnderstanding effective annual rate\u003c\/h3\u003e\n      \u003cp class=\"ear-education-intro\"\u003eEffective annual rate, often abbreviated EAR, converts a quoted nominal annual rate into the actual one-year rate after the timing of compounding is included. It is useful when two loans, deposits, or investments quote similar annual rates but compound at different intervals.\u003c\/p\u003e\n      \u003cdiv class=\"ear-education-grid\"\u003e\n        \u003cdiv class=\"ear-education-block\"\u003e\n          \u003ch3\u003eWhat this calculator estimates\u003c\/h3\u003e\n          \u003cp\u003eThe calculator produces four linked outputs. The \u003cstrong\u003eeffective annual rate\u003c\/strong\u003e is the true one-year percentage change caused by compounding. The \u003cstrong\u003eperiodic rate\u003c\/strong\u003e is the rate applied at each compounding event. The \u003cstrong\u003efinal balance\u003c\/strong\u003e projects the starting principal through the selected term. The \u003cstrong\u003etotal interest\u003c\/strong\u003e is the final balance minus the initial balance.\u003c\/p\u003e\n          \u003cp\u003eEAR isolates the mathematical effect of compounding. It does not automatically include fees, taxes, penalties, variable-rate changes, deposits, withdrawals, or scheduled loan repayments. For consumer borrowing, compare the disclosed APR and product terms as well. The \u003ca href=\"https:\/\/www.consumerfinance.gov\/ask-cfpb\/what-is-an-annual-percentage-rate-apr-en-733\/\" target=\"_blank\" rel=\"noopener noreferrer\"\u003eConsumer Financial Protection Bureau’s APR explanation\u003c\/a\u003e provides useful context.\u003c\/p\u003e\n        \u003c\/div\u003e\n\n        \u003cdiv class=\"ear-education-block\"\u003e\n          \u003ch3\u003eHow the formula works\u003c\/h3\u003e\n          \u003cp class=\"ear-formula\"\u003eEAR = (1 + r ÷ m)\u003csup\u003em\u003c\/sup\u003e − 1\u003c\/p\u003e\n          \u003cp\u003eHere, \u003cstrong\u003er\u003c\/strong\u003e is the nominal annual rate written as a decimal and \u003cstrong\u003em\u003c\/strong\u003e is the number of compounding periods per year. A 12% nominal rate compounded monthly has a periodic rate of 1%. Reapplying that 1% twelve times gives an EAR of about 12.6825%, not exactly 12%.\u003c\/p\u003e\n          \u003cp\u003eFor continuous compounding, the limiting formula is \u003cstrong\u003eEAR = e\u003csup\u003er\u003c\/sup\u003e − 1\u003c\/strong\u003e. Future value is calculated from the same growth factor over the selected number of years. The \u003ca href=\"https:\/\/www.investor.gov\/financial-tools-calculators\/calculators\/compound-interest-calculator\" target=\"_blank\" rel=\"noopener noreferrer\"\u003eInvestor.gov compound interest resource\u003c\/a\u003e offers a broader view of long-term compounding.\u003c\/p\u003e\n        \u003c\/div\u003e\n\n        \u003cdiv class=\"ear-education-block\"\u003e\n          \u003ch3\u003eHow to enter each input\u003c\/h3\u003e\n          \u003cul\u003e\n            \u003cli\u003e\n\u003cstrong\u003eNominal annual interest rate:\u003c\/strong\u003e enter the quoted yearly rate, such as 8% or 12.5%. This field is required. Higher positive rates increase EAR and future value. A common mistake is entering a monthly rate as though it were annual.\u003c\/li\u003e\n            \u003cli\u003e\n\u003cstrong\u003eCompounding frequency:\u003c\/strong\u003e choose how often interest is capitalized. Annual means once per year; monthly means twelve times; daily uses an average 365.242-day year; continuous represents the mathematical limit. More frequent compounding generally raises EAR for a positive nominal rate.\u003c\/li\u003e\n            \u003cli\u003e\n\u003cstrong\u003eTerm in years:\u003c\/strong\u003e enter the projection horizon. It is required and may include decimals. The term changes final balance and total interest but does not change the one-year EAR itself.\u003c\/li\u003e\n            \u003cli\u003e\n\u003cstrong\u003eInitial balance:\u003c\/strong\u003e enter the starting principal in dollars. It is required for the balance projection. A larger balance scales dollar interest proportionally but does not alter the percentage rates.\u003c\/li\u003e\n          \u003c\/ul\u003e\n          \u003cp\u003eReset clears the calculator to a neutral zero state. Currency symbols, commas, spaces, and percent signs are accepted when typing.\u003c\/p\u003e\n        \u003c\/div\u003e\n\n        \u003cdiv class=\"ear-education-block\"\u003e\n          \u003ch3\u003eHow to read the results\u003c\/h3\u003e\n          \u003cp\u003eA positive \u003cstrong\u003eEAR premium\u003c\/strong\u003e means compounding raises the effective rate above the nominal quote. With annual compounding, nominal rate and EAR are equal. At zero interest, both are zero. For negative rates, EAR may be slightly less negative than the nominal rate depending on frequency, provided the mathematical growth factor remains valid.\u003c\/p\u003e\n          \u003cp\u003eThe \u003cstrong\u003eperiodic rate\u003c\/strong\u003e helps verify the calculation. For example, 12% nominal compounded monthly equals 1% per month. Continuous compounding has no finite periodic rate, so the result is shown as “Continuous.”\u003c\/p\u003e\n          \u003cp\u003eThe \u003cstrong\u003efinal balance\u003c\/strong\u003e is the projected principal after the full term, while \u003cstrong\u003etotal interest\u003c\/strong\u003e measures the dollar change. A negative total indicates decline rather than growth. These outputs assume the rate and frequency stay constant throughout the term.\u003c\/p\u003e\n        \u003c\/div\u003e\n\n        \u003cdiv class=\"ear-education-block\"\u003e\n          \u003ch3\u003eInterpreting the chart and table\u003c\/h3\u003e\n          \u003cp\u003eThe chart holds the nominal rate constant and plots EAR across annual, semi-annual, quarterly, monthly, weekly, daily, and continuous compounding. The curve usually rises quickly at first and then flattens, illustrating diminishing incremental benefit from ever-more-frequent compounding.\u003c\/p\u003e\n          \u003cp\u003eThe table gives the exact periodic rate, EAR, one-year ending balance, and one-year interest for every frequency. The highlighted row is your current selection. Use it to compare products that quote the same nominal rate under different compounding conventions.\u003c\/p\u003e\n          \u003cp\u003eFor a concise definition and additional examples, see \u003ca href=\"https:\/\/www.investopedia.com\/terms\/e\/effectiveinterest.asp\" target=\"_blank\" rel=\"noopener noreferrer\"\u003eInvestopedia’s effective annual interest rate overview\u003c\/a\u003e.\u003c\/p\u003e\n        \u003c\/div\u003e\n\n        \u003cdiv class=\"ear-education-block\"\u003e\n          \u003ch3\u003eBenefits, tradeoffs, and common mistakes\u003c\/h3\u003e\n          \u003cp\u003eEAR makes rate comparisons more consistent because it translates different compounding schedules to one annual basis. It is particularly helpful for deposits, credit products, bonds, and quoted investment returns. The tradeoff is that EAR is still a simplified rate measure: it does not capture cash-flow timing, fees, taxes, changing rates, or credit risk.\u003c\/p\u003e\n          \u003cul\u003e\n            \u003cli\u003eDo not compare a monthly rate directly with an annual rate without converting both to a common basis.\u003c\/li\u003e\n            \u003cli\u003eDo not assume APR and EAR are interchangeable; disclosure rules and fee treatment may differ.\u003c\/li\u003e\n            \u003cli\u003eDo not project long terms with a constant rate unless that assumption is reasonable.\u003c\/li\u003e\n            \u003cli\u003eCheck whether a provider uses 365 days, 365.242 days, 360 days, or another day-count convention.\u003c\/li\u003e\n          \u003c\/ul\u003e\n          \u003cp\u003eThis calculator is educational and does not provide personalized financial, legal, tax, or investment advice.\u003c\/p\u003e\n        \u003c\/div\u003e\n      \u003c\/div\u003e\n    \u003c\/section\u003e\n  \u003c\/div\u003e\n\u003c\/div\u003e","brand":"FinancialModelsLab","offers":[{"title":"Default Title","offer_id":49909487927539,"sku":"ear","price":0.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/6191\/2762\/files\/ear.webp?v=1783935541","url":"https:\/\/financialmodelslab.com\/products\/ear","provider":"Financial Models Lab","version":"1.0","type":"link"}