Par Value
Par value (also called face value or principal value) is the nominal amount of a bond that the issuer promises to repay to the bondholder at maturity, and the amount on which periodic coupon interest payments are calculated. A bond trading at par is priced at 100 (percent of face value); below par is at a discount; above par is at a premium.
Key takeaways
- Par value is typically $1,000 per bond for U.S. corporate and government bonds, though government bonds may use different conventions.
- The coupon payment equals the coupon rate multiplied by the par value, regardless of whether the bond trades above or below par.
- A bond's yield to maturity equals its coupon rate when it is priced exactly at par.
- Treasury bills are issued at a discount to par and mature at par — the difference is the investor's return.
- In repo transactions, the par value of collateral is used alongside a haircut to determine the cash advanced to the collateral provider.
Explanation
Par value is the foundational reference amount in all fixed income instruments, serving simultaneously as the basis for coupon calculation, the redemption amount at maturity, and the reference point from which bond prices are quoted as a percentage. A bond with a par value of $1,000 and a 5% annual coupon pays $50 per year (5% × $1,000), regardless of whether the bond is currently trading at $950 (discount to par) or $1,050 (premium to par). At maturity, the holder receives exactly $1,000 — the par value — regardless of the price paid in the secondary market.
The relationship between a bond's price and its par value is determined by the yield environment relative to the coupon rate. When market yields equal the coupon rate, a bond trades at par (price = 100). When market yields rise above the coupon rate, the fixed coupon looks less attractive than what new bonds offer, so the bond's price falls below par (it trades at a discount) to compensate buyers with capital appreciation potential. Conversely, when yields fall below the coupon rate, the higher fixed coupon becomes valuable, and the bond's price rises above par (premium).
For investment-grade bonds, par value is the cornerstone of credit analysis calculations. Credit ratings assess the issuer's ability to repay the par value at maturity and service coupon obligations based on par. Loan-to-value ratios in secured bond indentures are calculated relative to the par value of debt outstanding. Covenant compliance calculations — such as maximum total debt levels — typically reference par value of outstanding notes rather than market value, creating different dynamics during periods of market stress (when market prices may be far from par but the covenant measure is unaffected).
Treasury bills — zero-coupon instruments issued by the U.S. government with maturities of 4 weeks to 52 weeks — are priced at a discount to par and mature at par. The discount represents the investor's entire return: a 26-week T-bill with a $100 par value purchased at $97.90 yields approximately 4.3% on an annualized basis (using the day count convention appropriate for T-bills). The repo market uses Treasury securities (and other instruments) as collateral, with par value as the starting reference point before applying haircuts that reduce the cash advanced relative to the securities' par (or market) value.
In the flat yield curve environment that characterizes the transition between normal and inverted curves, most bonds trade very close to par because short-term and long-term yields are nearly identical — the coupon rate of recently issued bonds approximates the market yield across all maturities, making discounts and premiums small. This par-trading dynamic has implications for reinvestment risk analysis and the interpretation of yield spread measurements.
Formula
Coupon Payment = Coupon Rate × Par Value; Bond at Par: Yield to Maturity = Coupon Rate
Example
A corporation issues $500 million in 10-year bonds with a 5.25% coupon and a par value of $1,000 per bond (500,000 bonds outstanding). At issuance, the bonds are priced at par ($1,000) because the 5.25% coupon matches the prevailing market yield for this credit quality and maturity. Annual coupon payment = 5.25% × $1,000 × 500,000 bonds = $26.25 million per year. Two years later, market yields for comparable bonds rise to 6.5%. The bond price declines to approximately $899 (trading at a $101 discount to par) as investors require a higher yield to compensate for the below-market coupon. Despite trading below par, the coupon remains $52.50 per bond per year (5.25% × $1,000) — the coupon calculation is always based on par value, not on the current market price. At maturity in 8 years, all 500,000 bondholders receive exactly $1,000 — the par value — regardless of what they paid in the secondary market.
Related terms
Basis Bond Coupon Rate Credit Analysis Day Count Convention Face Value Flat Yield Curve Investment Grade Bond Premium Redemption Reinvestment Risk Repo