{"product_id":"compound-interest-calculator","title":"Compound Interest Calculator","description":"\u003cstyle\u003e\n.cic-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  width: 100%;\n  max-width: 1200px;\n  margin: 0 auto;\n  color: var(--ink);\n  font-family: Inter, ui-sans-serif, system-ui, -apple-system, BlinkMacSystemFont, \"Segoe UI\", sans-serif;\n  font-size: 15px;\n  line-height: 1.55;\n  container: cic \/ inline-size;\n  font-variant-numeric: tabular-nums;\n}\n.cic-calculator,\n.cic-calculator *,\n.cic-calculator *::before,\n.cic-calculator *::after {\n  box-sizing: border-box;\n}\n.cic-calculator * {\n  min-width: 0;\n}\n.cic-calculator h2,\n.cic-calculator h3,\n.cic-calculator p {\n  margin-top: 0;\n}\n.cic-calculator h2 {\n  margin-bottom: 8px;\n  font-size: 24px;\n  line-height: 1.25;\n  font-weight: 700;\n  letter-spacing: -0.02em;\n}\n.cic-calculator h3 {\n  margin-bottom: 12px;\n  font-size: 18px;\n  line-height: 1.35;\n  font-weight: 650;\n  letter-spacing: -0.01em;\n}\n.cic-calculator a {\n  color: var(--primary);\n  text-decoration-thickness: 1px;\n  text-underline-offset: 2px;\n}\n.cic-calculator a:hover {\n  text-decoration-thickness: 2px;\n}\n.cic-calculator a:focus-visible,\n.cic-calculator button:focus-visible,\n.cic-calculator input:focus-visible,\n.cic-calculator select:focus-visible {\n  outline: 3px solid #1d4ed8;\n  outline-offset: 2px;\n}\n.cic-header {\n  display: grid;\n  gap: 20px;\n  padding: 24px;\n  border: 1px solid var(--border);\n  border-radius: 8px 8px 0 0;\n  background: var(--surface);\n  box-shadow: 0 1px 2px rgba(15, 23, 42, 0.06);\n}\n.cic-header-main,\n.cic-header-summary,\n.cic-toolbar,\n.cic-workspace,\n.cic-results-grid,\n.cic-chart-cluster,\n.cic-legend,\n.cic-legend-row,\n.cic-table-card,\n.cic-education,\n.cic-field,\n.cic-panel,\n.cic-result-card,\n.cic-chart-card {\n  min-width: 0;\n}\n.cic-eyebrow {\n  margin-bottom: 4px;\n  color: var(--primary);\n  font-size: 13px;\n  font-weight: 700;\n  letter-spacing: 0.08em;\n  text-transform: uppercase;\n}\n.cic-subtitle {\n  max-width: 760px;\n  margin-bottom: 0;\n  color: var(--muted);\n  font-size: 15px;\n}\n.cic-header-summary {\n  display: grid;\n  grid-template-columns: repeat(auto-fit, minmax(128px, 1fr));\n  gap: 8px;\n  align-content: start;\n}\n.cic-pill {\n  display: grid;\n  gap: 2px;\n  padding: 10px 12px;\n  border: 1px solid var(--border);\n  border-radius: 6px;\n  background: var(--tint);\n}\n.cic-pill-label {\n  color: var(--muted);\n  font-size: 13px;\n  font-weight: 600;\n}\n.cic-pill-value {\n  color: var(--ink);\n  font-size: 15px;\n  font-weight: 700;\n  overflow-wrap: anywhere;\n}\n.cic-toolbar {\n  display: flex;\n  flex-wrap: wrap;\n  gap: 8px;\n  align-items: center;\n  padding: 16px 24px;\n  border-right: 1px solid var(--border);\n  border-bottom: 1px solid var(--border);\n  border-left: 1px solid var(--border);\n  background: var(--tint);\n}\n.cic-button {\n  min-height: 44px;\n  border: 1px solid transparent;\n  border-radius: 6px;\n  padding: 11px 18px;\n  font: inherit;\n  font-size: 15px;\n  font-weight: 700;\n  line-height: 1;\n  cursor: pointer;\n  transition: background-color 150ms ease, border-color 150ms ease, box-shadow 150ms ease, transform 150ms ease;\n}\n.cic-button:hover {\n  box-shadow: 0 2px 5px rgba(15, 23, 42, 0.12);\n}\n.cic-button:active {\n  transform: translateY(1px);\n}\n.cic-button-excel {\n  display: inline-flex;\n  align-items: center;\n  gap: 10px;\n  color: #ffffff;\n  background: var(--accent);\n  white-space: nowrap;\n}\n.cic-button-excel:hover {\n  background: var(--accent-hover);\n}\n.cic-button-secondary {\n  color: var(--ink);\n  border-color: #cbd5e1;\n  background: var(--surface);\n}\n.cic-button-secondary:hover {\n  border-color: #94a3b8;\n  background: #f1f5f9;\n}\n.cic-button-icon {\n  width: 18px;\n  height: 18px;\n  flex: 0 0 18px;\n}\n.cic-workspace {\n  display: grid;\n  gap: 16px;\n  padding: 24px;\n  border-right: 1px solid var(--border);\n  border-bottom: 1px solid var(--border);\n  border-left: 1px solid var(--border);\n  background: #f1f5f9;\n}\n.cic-panel,\n.cic-chart-card,\n.cic-table-card,\n.cic-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, 0.06);\n}\n.cic-panel {\n  padding: 20px;\n}\n.cic-panel-heading {\n  margin-bottom: 16px;\n}\n.cic-panel-heading p {\n  margin-bottom: 0;\n  color: var(--muted);\n  font-size: 13px;\n  font-weight: 500;\n}\n.cic-fields {\n  display: grid;\n  gap: 16px;\n}\n.cic-field {\n  display: grid;\n  gap: 6px;\n  align-content: start;\n}\n.cic-label {\n  display: block;\n  color: var(--ink);\n  font-size: 14px;\n  font-weight: 600;\n}\n.cic-control {\n  width: 100%;\n  min-height: 44px;\n  border: 1px solid #64748b;\n  border-radius: 6px;\n  padding: 10px 12px;\n  color: var(--ink);\n  background: var(--surface);\n  font: inherit;\n  font-size: 15px;\n  line-height: 1.35;\n}\n.cic-control:hover {\n  border-color: #475569;\n}\n.cic-helper,\n.cic-error {\n  min-height: 20px;\n  margin: 0;\n  font-size: 13px;\n  font-weight: 500;\n  line-height: 1.45;\n}\n.cic-helper {\n  color: var(--muted);\n}\n.cic-error {\n  color: #b91c1c;\n}\n.cic-primary-result {\n  padding: 18px;\n  border: 1px solid #bfdbfe;\n  border-radius: 8px;\n  background: #eff6ff;\n}\n.cic-primary-kicker {\n  margin-bottom: 4px;\n  color: #1e3a8a;\n  font-size: 13px;\n  font-weight: 700;\n  text-transform: uppercase;\n  letter-spacing: 0.06em;\n}\n.cic-primary-value {\n  color: #172554;\n  font-size: 30px;\n  line-height: 1.1;\n  font-weight: 700;\n  overflow-wrap: anywhere;\n}\n.cic-primary-label {\n  margin-top: 6px;\n  margin-bottom: 0;\n  color: #334155;\n  font-size: 13px;\n  font-weight: 600;\n}\n.cic-results-grid {\n  display: grid;\n  grid-template-columns: repeat(auto-fit, minmax(140px, 1fr));\n  gap: 12px;\n  margin-top: 16px;\n}\n.cic-result-card {\n  display: grid;\n  gap: 4px;\n  align-content: start;\n  padding: 14px;\n  border: 1px solid var(--border);\n  border-radius: 8px;\n  background: var(--surface);\n}\n.cic-result-label {\n  color: var(--muted);\n  font-size: 13px;\n  font-weight: 600;\n}\n.cic-result-value {\n  color: var(--ink);\n  font-size: 20px;\n  line-height: 1.25;\n  font-weight: 700;\n  overflow-wrap: anywhere;\n}\n.cic-result-meta {\n  color: var(--muted);\n  font-size: 13px;\n  font-weight: 500;\n}\n.cic-formula-note,\n.cic-chart-caption,\n.cic-table-note,\n.cic-empty-state {\n  border: 1px solid var(--border);\n  border-radius: 6px;\n  padding: 10px 12px;\n  color: var(--muted);\n  background: var(--tint);\n  font-size: 13px;\n  font-weight: 500;\n}\n.cic-formula-note {\n  margin-top: 16px;\n}\n.cic-chart-card,\n.cic-table-card,\n.cic-education {\n  margin-top: 16px;\n  padding: 20px;\n}\n.cic-section-intro {\n  margin-bottom: 16px;\n  color: var(--muted);\n  font-size: 13px;\n  font-weight: 500;\n}\n.cic-chart-cluster {\n  display: grid;\n  gap: 20px;\n  align-items: center;\n  justify-content: center;\n  max-width: 980px;\n  margin: 0 auto;\n}\n.cic-chart-plot {\n  width: 100%;\n  max-width: 680px;\n  margin: 0 auto;\n}\n.cic-chart-svg {\n  display: block;\n  width: 100%;\n  height: auto;\n  min-height: 260px;\n}\n.cic-chart-svg text {\n  font-family: Inter, ui-sans-serif, system-ui, -apple-system, BlinkMacSystemFont, \"Segoe UI\", sans-serif;\n  font-size: 13px;\n  fill: var(--muted);\n}\n.cic-chart-svg .cic-chart-value-text {\n  fill: var(--ink);\n  font-weight: 700;\n}\n.cic-chart-svg .cic-chart-axis-title {\n  fill: var(--ink);\n  font-weight: 600;\n}\n.cic-legend {\n  display: grid;\n  gap: 10px;\n  justify-content: center;\n  align-content: center;\n  align-self: end;\n  justify-self: center;\n}\n.cic-legend-row {\n  display: grid;\n  grid-template-columns: 12px minmax(96px, max-content) minmax(72px, 120px);\n  gap: 10px;\n  align-items: center;\n  justify-content: start;\n  color: var(--ink);\n  font-size: 13px;\n  font-weight: 600;\n}\n.cic-legend-swatch {\n  width: 12px;\n  height: 12px;\n  border-radius: 2px;\n}\n.cic-legend-value {\n  color: var(--muted);\n  font-weight: 700;\n  overflow-wrap: anywhere;\n}\n.cic-chart-caption {\n  margin-top: 16px;\n}\n.cic-empty-state {\n  max-width: 520px;\n  margin: 0 auto;\n  text-align: center;\n}\n.cic-chart-safe-stack .cic-chart-cluster {\n  grid-template-columns: 1fr;\n  gap: 20px;\n}\n.cic-chart-safe-stack .cic-legend {\n  margin-top: 4px;\n}\n.cic-chart-safe-stack .cic-chart-caption {\n  margin-top: 20px;\n}\n.cic-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.cic-table-overflow {\n  width: 100%;\n  overflow-x: auto;\n  border: 1px solid var(--border);\n  border-radius: 6px;\n  background: var(--surface);\n}\n.cic-table {\n  width: 100%;\n  min-width: 700px;\n  border-collapse: collapse;\n  font-size: 13px;\n  line-height: 1.45;\n}\n.cic-table th,\n.cic-table td {\n  padding: 11px 12px;\n  border-bottom: 1px solid var(--border);\n  text-align: left;\n  vertical-align: top;\n}\n.cic-table th {\n  color: #ffffff;\n  background: #172554;\n  font-size: 13px;\n  font-weight: 700;\n}\n.cic-table tbody tr:nth-child(even) {\n  background: var(--tint);\n}\n.cic-table tbody tr:last-child td {\n  border-bottom: 0;\n}\n.cic-table .cic-numeric {\n  text-align: right;\n  white-space: nowrap;\n}\n.cic-table-note {\n  margin-top: 16px;\n}\n.cic-table-safe-stack .cic-table-note {\n  margin-top: 20px;\n}\n.cic-education {\n  color: #1e293b;\n}\n.cic-education h2 {\n  margin-top: 28px;\n  margin-bottom: 10px;\n  font-size: 22px;\n}\n.cic-education h2:first-child {\n  margin-top: 0;\n}\n.cic-education h3 {\n  margin-top: 22px;\n  margin-bottom: 8px;\n}\n.cic-education p {\n  margin-bottom: 12px;\n}\n.cic-education ul {\n  margin: 0 0 16px;\n  padding-left: 22px;\n}\n.cic-education li {\n  margin-bottom: 8px;\n}\n.cic-education code {\n  padding: 2px 5px;\n  border: 1px solid var(--border);\n  border-radius: 4px;\n  color: #172554;\n  background: #eff6ff;\n  font-family: ui-monospace, SFMono-Regular, Menlo, Consolas, monospace;\n  font-size: 13px;\n}\n@container cic (min-width: 640px) {\n  .cic-header {\n    grid-template-columns: minmax(0, 1.4fr) minmax(300px, 0.8fr);\n    align-items: start;\n  }\n  .cic-chart-cluster {\n    grid-template-columns: minmax(0, 680px) max-content;\n    gap: 24px;\n  }\n}\n@container cic (min-width: 900px) {\n  .cic-workspace {\n    grid-template-columns: minmax(300px, 0.78fr) minmax(0, 1.22fr);\n    align-items: start;\n  }\n}\n@container cic (max-width: 639px) {\n  .cic-header,\n  .cic-toolbar,\n  .cic-workspace,\n  .cic-chart-card,\n  .cic-table-card,\n  .cic-education {\n    padding-right: 16px;\n    padding-left: 16px;\n  }\n  .cic-header {\n    padding-top: 20px;\n    padding-bottom: 20px;\n  }\n  .cic-chart-cluster {\n    grid-template-columns: 1fr;\n    gap: 16px;\n  }\n  .cic-chart-svg {\n    min-height: 240px;\n  }\n  .cic-chart-caption,\n  .cic-table-note {\n    margin-top: 16px;\n  }\n  .cic-legend-row {\n    grid-template-columns: 12px minmax(88px, max-content) minmax(72px, 108px);\n    gap: 8px;\n  }\n}\n@container cic (max-width: 360px) {\n  .cic-chart-caption,\n  .cic-table-note {\n    margin-top: 12px;\n  }\n}\n@media (prefers-reduced-motion: reduce) {\n  .cic-calculator .cic-button {\n    transition: none;\n  }\n}\n\u003c\/style\u003e\n\u003cdiv class=\"cic-calculator\" data-calculator-root\u003e\n  \u003cheader class=\"cic-header\"\u003e\n    \u003cdiv class=\"cic-header-main\"\u003e\n      \u003cdiv class=\"cic-eyebrow\"\u003eInterest rate conversion\u003c\/div\u003e\n      \u003ch2\u003eCompound Interest Rate Converter\u003c\/h2\u003e\n      \u003cp class=\"cic-subtitle\"\u003eConvert a quoted annual rate from one compounding convention to another while preserving the same effective one-year return.\u003c\/p\u003e\n    \u003c\/div\u003e\n    \u003cdiv class=\"cic-header-summary\" aria-label=\"Live rate summary\"\u003e\n      \u003cdiv class=\"cic-pill\"\u003e\n        \u003cspan class=\"cic-pill-label\"\u003eInput quote\u003c\/span\u003e\n        \u003cspan class=\"cic-pill-value\" data-cic-pill-input\u003e6.00000%\u003c\/span\u003e\n      \u003c\/div\u003e\n      \u003cdiv class=\"cic-pill\"\u003e\n        \u003cspan class=\"cic-pill-label\"\u003eEffective annual yield\u003c\/span\u003e\n        \u003cspan class=\"cic-pill-value\" data-cic-pill-apy\u003e6.16778%\u003c\/span\u003e\n      \u003c\/div\u003e\n      \u003cdiv class=\"cic-pill\"\u003e\n        \u003cspan class=\"cic-pill-label\"\u003eConverted quote\u003c\/span\u003e\n        \u003cspan class=\"cic-pill-value\" data-cic-pill-output\u003e6.16778%\u003c\/span\u003e\n      \u003c\/div\u003e\n    \u003c\/div\u003e\n  \u003c\/header\u003e\n\n  \u003cdiv class=\"cic-toolbar\" aria-label=\"Calculator actions\"\u003e\n    \u003cbutton class=\"cic-button cic-button-excel\" type=\"button\" data-cic-download\u003e\n      \u003csvg class=\"cic-button-icon\" viewbox=\"0 0 18 18\" aria-hidden=\"true\" focusable=\"false\"\u003e\n        \u003crect x=\"2\" y=\"1.5\" width=\"14\" height=\"15\" rx=\"1.5\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\"\u003e\u003c\/rect\u003e\n        \u003cpath d=\"M5.25 5.25h7.5M5.25 9h7.5M5.25 12.75h7.5M8.9 5.25v7.5\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.25\"\u003e\u003c\/path\u003e\n      \u003c\/svg\u003e\n      \u003cspan\u003eDownload Excel\u003c\/span\u003e\n    \u003c\/button\u003e\n    \u003cbutton class=\"cic-button cic-button-secondary\" type=\"button\" data-cic-reset\u003eReset\u003c\/button\u003e\n  \u003c\/div\u003e\n\n  \u003cdiv class=\"cic-workspace\"\u003e\n    \u003csection class=\"cic-panel\" aria-labelledby=\"cic-input-heading\"\u003e\n      \u003cdiv class=\"cic-panel-heading\"\u003e\n        \u003ch3 id=\"cic-input-heading\"\u003eRate assumptions\u003c\/h3\u003e\n        \u003cp\u003eEnter the stated annual rate and select how it is compounded now and how you want it expressed.\u003c\/p\u003e\n      \u003c\/div\u003e\n      \u003cdiv class=\"cic-fields\"\u003e\n        \u003cdiv class=\"cic-field\"\u003e\n          \u003clabel class=\"cic-label\" for=\"cic-interest-rate\"\u003eStated annual interest rate\u003c\/label\u003e\n          \u003cinput class=\"cic-control\" id=\"cic-interest-rate\" type=\"text\" inputmode=\"decimal\" autocomplete=\"off\" value=\"6.00000%\" aria-describedby=\"cic-interest-rate-help cic-interest-rate-error\" data-cic-rate\u003e\n          \u003cp class=\"cic-helper\" id=\"cic-interest-rate-help\"\u003eUse the quoted nominal rate or APY, depending on the selected input convention.\u003c\/p\u003e\n          \u003cp class=\"cic-error\" id=\"cic-interest-rate-error\" data-cic-rate-error aria-live=\"polite\"\u003e\u003c\/p\u003e\n        \u003c\/div\u003e\n        \u003cdiv class=\"cic-field\"\u003e\n          \u003clabel class=\"cic-label\" for=\"cic-input-frequency\"\u003eInput compounding convention\u003c\/label\u003e\n          \u003cselect class=\"cic-control\" id=\"cic-input-frequency\" data-cic-input-frequency\u003e\n            \u003coption value=\"\"\u003eChoose a convention\u003c\/option\u003e\n            \u003coption value=\"annual\"\u003eAnnually (APY)\u003c\/option\u003e\n            \u003coption value=\"semiannual\"\u003eSemiannually\u003c\/option\u003e\n            \u003coption value=\"quarterly\"\u003eQuarterly\u003c\/option\u003e\n            \u003coption value=\"monthly\" selected\u003eMonthly (APR)\u003c\/option\u003e\n            \u003coption value=\"semimonthly\"\u003eSemimonthly\u003c\/option\u003e\n            \u003coption value=\"biweekly\"\u003eBiweekly\u003c\/option\u003e\n            \u003coption value=\"weekly\"\u003eWeekly\u003c\/option\u003e\n            \u003coption value=\"daily\"\u003eDaily\u003c\/option\u003e\n            \u003coption value=\"continuous\"\u003eContinuously\u003c\/option\u003e\n          \u003c\/select\u003e\n          \u003cp class=\"cic-helper\"\u003eThis determines how the entered annual rate is converted into an effective one-year yield.\u003c\/p\u003e\n        \u003c\/div\u003e\n        \u003cdiv class=\"cic-field\"\u003e\n          \u003clabel class=\"cic-label\" for=\"cic-output-frequency\"\u003eOutput compounding convention\u003c\/label\u003e\n          \u003cselect class=\"cic-control\" id=\"cic-output-frequency\" data-cic-output-frequency\u003e\n            \u003coption value=\"\"\u003eChoose a convention\u003c\/option\u003e\n            \u003coption value=\"annual\" selected\u003eAnnually (APY)\u003c\/option\u003e\n            \u003coption value=\"semiannual\"\u003eSemiannually\u003c\/option\u003e\n            \u003coption value=\"quarterly\"\u003eQuarterly\u003c\/option\u003e\n            \u003coption value=\"monthly\"\u003eMonthly (APR)\u003c\/option\u003e\n            \u003coption value=\"semimonthly\"\u003eSemimonthly\u003c\/option\u003e\n            \u003coption value=\"biweekly\"\u003eBiweekly\u003c\/option\u003e\n            \u003coption value=\"weekly\"\u003eWeekly\u003c\/option\u003e\n            \u003coption value=\"daily\"\u003eDaily\u003c\/option\u003e\n            \u003coption value=\"continuous\"\u003eContinuously\u003c\/option\u003e\n          \u003c\/select\u003e\n          \u003cp class=\"cic-helper\"\u003eThe result is the equivalent quoted annual rate under this convention.\u003c\/p\u003e\n        \u003c\/div\u003e\n      \u003c\/div\u003e\n    \u003c\/section\u003e\n\n    \u003csection class=\"cic-panel\" aria-labelledby=\"cic-results-heading\"\u003e\n      \u003cdiv class=\"cic-panel-heading\"\u003e\n        \u003ch3 id=\"cic-results-heading\"\u003eEquivalent rate\u003c\/h3\u003e\n        \u003cp\u003eAll outputs use the same effective annual growth factor, so the economic return is unchanged.\u003c\/p\u003e\n      \u003c\/div\u003e\n      \u003cdiv class=\"cic-primary-result\" aria-live=\"polite\" aria-atomic=\"true\"\u003e\n        \u003cdiv class=\"cic-primary-kicker\"\u003eConverted annual quote\u003c\/div\u003e\n        \u003cdiv class=\"cic-primary-value\" data-cic-primary\u003e6.16778%\u003c\/div\u003e\n        \u003cp class=\"cic-primary-label\" data-cic-primary-label\u003eEquivalent rate compounded annually (APY)\u003c\/p\u003e\n      \u003c\/div\u003e\n      \u003cdiv class=\"cic-results-grid\"\u003e\n        \u003cdiv class=\"cic-result-card\"\u003e\n          \u003cspan class=\"cic-result-label\"\u003eEffective annual yield\u003c\/span\u003e\n          \u003cspan class=\"cic-result-value\" data-cic-apy\u003e6.16778%\u003c\/span\u003e\n          \u003cspan class=\"cic-result-meta\"\u003eActual one-year percentage growth\u003c\/span\u003e\n        \u003c\/div\u003e\n        \u003cdiv class=\"cic-result-card\"\u003e\n          \u003cspan class=\"cic-result-label\"\u003eInput periodic rate\u003c\/span\u003e\n          \u003cspan class=\"cic-result-value\" data-cic-periodic\u003e0.50000%\u003c\/span\u003e\n          \u003cspan class=\"cic-result-meta\" data-cic-periodic-label\u003eApplied each month\u003c\/span\u003e\n        \u003c\/div\u003e\n        \u003cdiv class=\"cic-result-card\"\u003e\n          \u003cspan class=\"cic-result-label\"\u003eContinuous equivalent\u003c\/span\u003e\n          \u003cspan class=\"cic-result-value\" data-cic-continuous\u003e5.98404%\u003c\/span\u003e\n          \u003cspan class=\"cic-result-meta\"\u003eAnnual force of interest\u003c\/span\u003e\n        \u003c\/div\u003e\n        \u003cdiv class=\"cic-result-card\"\u003e\n          \u003cspan class=\"cic-result-label\"\u003eOne-year growth factor\u003c\/span\u003e\n          \u003cspan class=\"cic-result-value\" data-cic-factor\u003e1.0616778×\u003c\/span\u003e\n          \u003cspan class=\"cic-result-meta\"\u003eEnding value per $1.00 starting value\u003c\/span\u003e\n        \u003c\/div\u003e\n      \u003c\/div\u003e\n      \u003cdiv class=\"cic-formula-note\" data-cic-formula\u003eMonthly input conversion: effective yield = (1 + 6.00000% ÷ 12)¹² − 1.\u003c\/div\u003e\n    \u003c\/section\u003e\n  \u003c\/div\u003e\n\n  \u003csection class=\"cic-chart-card\" aria-labelledby=\"cic-chart-heading\" data-cic-chart-card\u003e\n    \u003ch3 id=\"cic-chart-heading\"\u003eRate representation comparison\u003c\/h3\u003e\n    \u003cp class=\"cic-section-intro\" data-cic-chart-intro\u003eThe bars compare four ways to state the same one-year return. Differences reflect quoting convention, not a different economic yield.\u003c\/p\u003e\n    \u003cdiv class=\"cic-chart-cluster\" data-cic-chart-cluster\u003e\n      \u003cdiv class=\"cic-chart-plot\" data-cic-chart-plot\u003e\n        \u003csvg class=\"cic-chart-svg\" viewbox=\"0 0 680 320\" role=\"img\" aria-labelledby=\"cic-chart-title cic-chart-desc\" data-cic-chart-svg\u003e\n          \u003ctitle id=\"cic-chart-title\"\u003eEquivalent rate comparison\u003c\/title\u003e\n          \u003cdesc id=\"cic-chart-desc\" data-cic-chart-desc\u003eInput quote 6.00000%, output quote 6.16778%, APY 6.16778%, and continuous equivalent 5.98404%.\u003c\/desc\u003e\n        \u003c\/svg\u003e\n      \u003c\/div\u003e\n      \u003cdiv class=\"cic-legend\" aria-label=\"Chart legend\" data-cic-legend\u003e\u003c\/div\u003e\n    \u003c\/div\u003e\n    \u003cp class=\"cic-sr-only\" data-cic-chart-summary\u003eInput quote 6.00000%; output quote 6.16778%; APY 6.16778%; continuous equivalent 5.98404%.\u003c\/p\u003e\n    \u003cdiv class=\"cic-chart-caption\" data-cic-chart-caption\u003eA 6.00000% nominal rate compounded monthly produces a 6.16778% effective annual yield. The small uplift is interest earned on interest during the year.\u003c\/div\u003e\n    \u003cdiv class=\"cic-empty-state\" data-cic-chart-empty hidden\u003eEnter a positive rate and choose both compounding conventions to see the comparison.\u003c\/div\u003e\n  \u003c\/section\u003e\n\n  \u003csection class=\"cic-table-card\" aria-labelledby=\"cic-table-heading\" data-cic-table-card\u003e\n    \u003ch3 id=\"cic-table-heading\"\u003eEquivalent rates across all compounding frequencies\u003c\/h3\u003e\n    \u003cp class=\"cic-section-intro\"\u003eEach row is calibrated to the same effective annual yield shown above.\u003c\/p\u003e\n    \u003cdiv class=\"cic-table-overflow\" data-cic-table-overflow\u003e\n      \u003ctable class=\"cic-table\"\u003e\n        \u003cthead\u003e\n          \u003ctr\u003e\n            \u003cth scope=\"col\"\u003eCompounding basis\u003c\/th\u003e\n            \u003cth class=\"cic-numeric\" scope=\"col\"\u003ePeriods per year\u003c\/th\u003e\n            \u003cth class=\"cic-numeric\" scope=\"col\"\u003eEquivalent annual quote\u003c\/th\u003e\n            \u003cth class=\"cic-numeric\" scope=\"col\"\u003eRate per period\u003c\/th\u003e\n          \u003c\/tr\u003e\n        \u003c\/thead\u003e\n        \u003ctbody data-cic-table-body\u003e\u003c\/tbody\u003e\n      \u003c\/table\u003e\n    \u003c\/div\u003e\n    \u003cdiv class=\"cic-table-note\" data-cic-table-note\u003eThe annual ending value is identical for every row; only the stated annual rate and the period rate change.\u003c\/div\u003e\n  \u003c\/section\u003e\n\n  \u003carticle class=\"cic-education\"\u003e\n    \u003ch2\u003eWhat this calculator estimates\u003c\/h2\u003e\n    \u003cp\u003eThis calculator converts an annual interest rate between compounding conventions. It does not change the underlying one-year return. Instead, it finds the quoted rate that would produce the same ending balance after one year. This is useful when one account is presented as an annual percentage yield, another uses a nominal annual rate compounded monthly, and a third uses daily or continuous compounding.\u003c\/p\u003e\n    \u003cp\u003eThe distinction matters because the same number can imply different growth when the compounding frequency changes. A 6% nominal annual rate compounded monthly earns 0.5% each month. Reinvesting each month’s interest produces an effective annual yield of about 6.16778%. The converted annual result is therefore higher than the original 6% quote even though both describe the same underlying cash-flow pattern.\u003c\/p\u003e\n\n    \u003ch2\u003eHow to use each input\u003c\/h2\u003e\n    \u003ch3\u003eStated annual interest rate\u003c\/h3\u003e\n    \u003cp\u003eEnter the rate exactly as it is quoted, including decimals when needed. The field accepts plain numbers, commas, spaces, and a percent sign. This input is required for a meaningful result. Higher rates increase the gap between nominal and effective rates because more interest is reinvested during the year. A zero rate is valid but produces no drawable comparison chart. Negative rates are not accepted by this tool because the conversion domain and product conventions can vary when rates fall below zero.\u003c\/p\u003e\n\n    \u003ch3\u003eInput compounding convention\u003c\/h3\u003e\n    \u003cp\u003eSelect how the entered rate is currently compounded. “Annually (APY)” treats the entered percentage as the effective one-year yield. Monthly uses 12 periods, semimonthly uses 24, biweekly uses 26, weekly uses 52, and daily uses 365. Continuous compounding uses the exponential limit rather than a finite number of periods. A common mistake is entering an APY while leaving the input convention set to monthly APR; that would overstate the effective annual growth.\u003c\/p\u003e\n\n    \u003ch3\u003eOutput compounding convention\u003c\/h3\u003e\n    \u003cp\u003eSelect how you want the equivalent annual rate expressed. The output rate will change when you switch conventions, but the effective annual yield and one-year growth factor remain constant. Use annual output to obtain APY, monthly output to obtain a nominal annual rate divided across 12 monthly periods, and continuous output to obtain the annual force of interest. This field is required because there is no single converted quote without a target convention.\u003c\/p\u003e\n\n    \u003ch2\u003eUnderstanding the results\u003c\/h2\u003e\n    \u003ch3\u003eConverted annual quote\u003c\/h3\u003e\n    \u003cp\u003eThe large result is the annual rate under the selected output convention. A higher output quote does not automatically mean a better product: it may simply be a different way of stating the same effective return. Compare products on a consistent basis and consider fees, minimum balances, introductory periods, and rate variability separately.\u003c\/p\u003e\n\n    \u003ch3\u003eEffective annual yield and periodic rate\u003c\/h3\u003e\n    \u003cp\u003eThe effective annual yield is the actual percentage increase over one year when interest remains in the account. For deposit products, this is the concept typically associated with APY. The input periodic rate is the quoted annual rate divided by the number of compounding periods, except for continuous compounding, where a discrete period rate is not defined. The \u003ca href=\"https:\/\/www.fdic.gov\/consumer-compliance-examination-manual\/vi-3-truth-savings\" target=\"_blank\" rel=\"noopener noreferrer\"\u003eFDIC’s Truth in Savings guidance\u003c\/a\u003e explains that APY reflects both the interest rate and compounding frequency.\u003c\/p\u003e\n\n    \u003ch3\u003eContinuous equivalent and growth factor\u003c\/h3\u003e\n    \u003cp\u003eThe continuous equivalent is the annual force of interest that reaches the same one-year ending value under continuous compounding. The growth factor shows the ending value of each $1.00 after one year. A factor of 1.0616778 means that $1.00 becomes approximately $1.0616778 before taxes, fees, withdrawals, or other adjustments.\u003c\/p\u003e\n\n    \u003ch3\u003eChart and comparison table\u003c\/h3\u003e\n    \u003cp\u003eThe bar chart compares the input quote, selected output quote, APY, and continuous equivalent. The bars can differ even though every representation has the same one-year growth factor. The table extends the conversion to all supported frequencies. Its “rate per period” column shows the amount applied at each discrete compounding event; the continuous row has no discrete period rate.\u003c\/p\u003e\n\n    \u003ch2\u003eHow the conversion works\u003c\/h2\u003e\n    \u003cp\u003eFor a nominal annual rate \u003ccode\u003er\u003c\/code\u003e compounded \u003ccode\u003en\u003c\/code\u003e times per year, the effective annual yield is \u003ccode\u003e(1 + r\/n)^n − 1\u003c\/code\u003e. For continuous compounding, it is \u003ccode\u003ee^r − 1\u003c\/code\u003e. After calculating the effective yield, the converter solves backward for the target quoted rate. For a target frequency \u003ccode\u003em\u003c\/code\u003e, the equivalent annual quote is \u003ccode\u003em × ((1 + APY)^(1\/m) − 1)\u003c\/code\u003e. For continuous output, it is \u003ccode\u003eln(1 + APY)\u003c\/code\u003e.\u003c\/p\u003e\n    \u003cp\u003eThese formulas assume a constant rate, no deposits or withdrawals during the year, and immediate reinvestment of interest. They do not incorporate account fees, loan fees, taxes, early-withdrawal penalties, day-count conventions, grace periods, or variable-rate changes. The \u003ca href=\"https:\/\/www.investor.gov\/financial-tools-calculators\/calculators\/compound-interest-calculator\" target=\"_blank\" rel=\"noopener noreferrer\"\u003eInvestor.gov compound interest tool\u003c\/a\u003e is useful when you need to model a starting balance, recurring contributions, and a multi-year horizon.\u003c\/p\u003e\n\n    \u003ch2\u003eAPR, APY, and practical comparison\u003c\/h2\u003e\n    \u003cp\u003eAPR and APY are not always interchangeable labels. In deposit comparisons, APY generally describes yield after compounding. In lending, APR can include charges beyond the interest rate, depending on the product and regulation. The \u003ca href=\"https:\/\/www.consumerfinance.gov\/ask-cfpb\/what-is-the-difference-between-a-loan-interest-rate-and-the-apr-en-733\/\" target=\"_blank\" rel=\"noopener noreferrer\"\u003eConsumer Financial Protection Bureau\u003c\/a\u003e notes that a loan APR may include additional fees, so a pure mathematical rate conversion cannot replace the lender’s disclosed APR.\u003c\/p\u003e\n    \u003cp\u003eWhen comparing savings products, convert all rates to the same annual effective basis, then examine account terms. When comparing loans, use the legally disclosed APR and total cost information rather than converting the nominal interest rate alone. For credit cards, issuers may calculate daily periodic rates using 360 or 365 days; the \u003ca href=\"https:\/\/www.consumerfinance.gov\/ask-cfpb\/what-is-a-daily-periodic-rate-on-a-credit-card-en-46\/\" target=\"_blank\" rel=\"noopener noreferrer\"\u003eCFPB’s daily periodic rate explanation\u003c\/a\u003e highlights why the contract’s day-count convention matters.\u003c\/p\u003e\n\n    \u003ch2\u003eCommon mistakes and limitations\u003c\/h2\u003e\n    \u003cul\u003e\n      \u003cli\u003eDo not compare a monthly-compounded nominal rate directly with an APY without converting one of them.\u003c\/li\u003e\n      \u003cli\u003eDo not assume more frequent compounding creates a better offer when the stated rates have already been adjusted to equivalent yields.\u003c\/li\u003e\n      \u003cli\u003eDo not add fees or taxes to the rate conversion formula; model them as separate cash flows or product costs.\u003c\/li\u003e\n      \u003cli\u003eDo not use this rate converter as personalized investment, tax, legal, or lending advice.\u003c\/li\u003e\n    \u003c\/ul\u003e\n    \u003cp\u003eThe Excel download captures the current inputs, headline results, full frequency comparison, and calculation notes in a real workbook so you can retain an audit trail or compare multiple quotes offline.\u003c\/p\u003e\n  \u003c\/article\u003e\n\u003c\/div\u003e","brand":"FinancialModelsLab","offers":[{"title":"Default Title","offer_id":49909480521971,"sku":"compound-interest-calculator","price":0.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/6191\/2762\/files\/compound-interest-calculator.webp?v=1783935371","url":"https:\/\/financialmodelslab.com\/products\/compound-interest-calculator","provider":"Financial Models Lab","version":"1.0","type":"link"}