{
  "id": "66cdfdb3-e71a-5bdd-8610-76b5e468fad5",
  "slug": "coupon-rate",
  "term": "Coupon Rate",
  "aliases": [],
  "category": "Fixed Income",
  "category_slug": "fixed-income",
  "difficulty": "basic",
  "definition": "The coupon rate is the annual interest rate stated on a bond at issuance, expressed as a percentage of face (par) value, determining the periodic cash payments a bondholder receives throughout the instrument's life.",
  "key_takeaways": [
    "Coupon Rate = Annual Coupon Payment / Par Value; a 5% coupon on a $1,000 par bond pays $50 per year (typically $25 semiannually for U.S. bonds).",
    "The coupon rate is fixed at issuance for plain vanilla bonds; the current yield (coupon / market price) and yield-to-maturity vary as market prices change.",
    "When market yields rise above the coupon rate, the bond trades at a discount to par; when market yields fall below the coupon rate, it trades at a premium.",
    "Zero-coupon bonds carry a 0% coupon rate, issued at a deep discount, with the entire return realized as price appreciation to par at maturity.",
    "Coupon structure significantly affects duration: lower-coupon bonds have longer durations and therefore greater price sensitivity to interest rate changes than otherwise identical higher-coupon bonds."
  ],
  "detailed_explanation": "The coupon rate is the contractual interest rate on a bond, set at issuance to reflect prevailing market rates, the issuer's credit quality, and any specific structural features. For fixed-rate bonds it is permanently fixed — changing market conditions affect the bond's price but not its contractual cash flows. For floating-rate notes (FRNs), the coupon is expressed as a spread over a reference rate (e.g., SOFR + 150 bps), with the absolute payment resetting periodically.\n\nThe relationship between coupon rate, market yield, and price is fundamental to fixed income analytics. For a plain vanilla bond:\n\nPrice = Σ [C / (1 + y)^t] + [F / (1 + y)^T]\n\nwhere C is the periodic coupon payment (= Face Value × Coupon Rate / Periods per Year), y is the periodic yield to maturity, F is face value, t indexes each period, and T is total periods. When y equals the coupon rate, Price equals par. When y exceeds the coupon rate, the bond trades at a discount. When y is below the coupon rate, it trades at a premium.\n\nThe coupon rate meaningfully affects a bond's duration. Macaulay Duration is a cash-flow-weighted average time to receive payments. Higher-coupon bonds front-load more cash flows, reducing the weighted-average maturity and thus duration relative to lower-coupon bonds of the same maturity. A 30-year zero-coupon bond has a duration of exactly 30 years; a 30-year 6% coupon bond might have a duration near 15 years, making it roughly half as price-sensitive to parallel yield-curve shifts.\n\nFrom a portfolio manager's perspective, the coupon rate interacts with carry and roll-down return. A bond's running yield (the coupon income per unit of capital deployed) is a key component of total return in stable rate environments. High-coupon bonds tend to offer superior carry but less price upside in a rally, creating a structural tradeoff that shapes portfolio construction across different rate environments. Traders and issuers also pay close attention to the coupon relative to par: investment banks typically price new issues at or near par for simplicity in documentation and distribution, adjusting the coupon accordingly.",
  "example": "A corporation issues a 10-year bond with a $1,000 face value and a 4.5% coupon rate. The bondholder receives $45 per year in interest (paid as $22.50 semiannually). If one year later prevailing market rates for similar bonds have risen to 5.5%, the bond's price will fall below $1,000. Using the present value formula, the bond would trade at approximately $921, creating a current yield of $45 / $921 = 4.89% — still below the new market yield of 5.5% because the remaining discount also compensates holders through price appreciation to par at maturity. Conversely, if rates fall to 3.5%, the bond's price rises to roughly $1,083.",
  "formula": "Price = Σ [C / (1 + y)^t] + [F / (1 + y)^T]; Coupon Rate = Annual Coupon Payment / Face Value",
  "formula_latex": null,
  "interactive_type": "calculator",
  "calculator_id": null,
  "related_terms": [
    "bond",
    "current-yield",
    "duration",
    "face-value",
    "interest-rate",
    "macaulay-duration",
    "mezzanine-tranche",
    "option-adjusted-spread",
    "positive-carry",
    "premium",
    "present-value",
    "rally",
    "reverse-repo",
    "treasury-bill",
    "yield"
  ],
  "backlinks": [
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    "bullet-bond",
    "cost-of-carry",
    "current-yield",
    "dirty-price",
    "dv01",
    "floating-rate-note",
    "implied-repo-rate",
    "indenture",
    "inflation-linked-bond",
    "mezzanine-finance",
    "mortgage-backed-security",
    "par-value",
    "putable-bond",
    "reinvestment-risk",
    "spot-rate",
    "sustainability-linked-bond",
    "swap",
    "yield",
    "yield-to-call",
    "yield-to-maturity",
    "yield-to-worst"
  ],
  "cross_references": [
    "bond",
    "current-yield",
    "duration",
    "face-value",
    "interest-rate",
    "macaulay-duration",
    "premium",
    "present-value",
    "rally",
    "yield",
    "yield-to-maturity"
  ],
  "tags": [
    "level:basic",
    "cat:fixed-income"
  ],
  "asset_classes": [
    "fixed-income"
  ],
  "regulators": [],
  "see_also": [],
  "sources": [],
  "wordcount": 643,
  "checksum": "3613f1f9b129bd6f",
  "version": "2026.05.03",
  "license": "CC-BY-4.0",
  "updated_at": "2026-09-07T02:15:24+00:00",
  "_links": {
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    "category": "https://hedgefund.wiki/api/v1/categories/fixed-income",
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