Bond basics: par value, coupon, maturity, and why price and interest rates move in opposite directions

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Four separate bond terms

A bond is a debt obligation: the issuer borrows, and the holder is a creditor. For a conventional fixed-rate bond, keep par value, coupon, maturity, and market price separate.

Par value, or face value, is the principal scheduled for repayment at maturity. Use $1,000 par for these examples. Market price is the amount a buyer pays today, which may differ from par.

Coupon rate determines annual interest on par, not on market price. A 6% coupon on $1,000 par pays $60 annually. If paid semiannually, each payment is $30. A purchase at $900 does not change annual interest to $54.

Maturity is the scheduled principal repayment date. A conventional bond held to maturity repays its $1,000 face amount regardless of whether the holder paid a premium or discount. Payment depends on the issuer's ability to pay, and a callable bond may be repaid before maturity.

Reading the price

Bond quotations are percentages of par. For a $1,000-par bond:

  • 95 means $950: a discount.
  • 100 means $1,000: par.
  • 105 means $1,050: a premium.

These quoted prices exclude accrued interest and transaction charges. A premium or discount changes the purchase price, not the bond's face amount or fixed coupon.

Why rates and prices move oppositely

Hold credit quality and other factors constant. When comparable market interest rates rise, newly issued bonds offer more interest relative to their prices. An existing bond's fixed payments become less attractive, so its price falls to provide a competitive return. When comparable rates fall, the existing fixed payments become more attractive, so its price rises.

Two panels compare changes in market interest rates with an existing fixed-rate bond's price, holding other factors constant. In the first panel, rates rise and bond price falls. In the second, rates fall and bond price rises. Under both panels, the coupon stays unchanged: six percent of one thousand dollars par is sixty dollars annually.
Price adjusts to changing market rates; fixed coupon dollars do not.

The market price adjusts; the fixed coupon does not. Identify which number the question gives before calculating: par determines coupon dollars; a percentage quotation determines price; changing market rates affect the existing bond's price in the opposite direction.

Sample questions

Which amount does a conventional bond's par value identify?

  • Principal scheduled for repayment at maturity
  • The price paid by the most recent buyer
  • Interest scheduled to be paid each year
  • The total of all remaining interest payments
Reveal answer

Correct answer: Principal scheduled for repayment at maturity

Par is the bond's face amount, or principal, scheduled for repayment at maturity. It is separate from price and interest.

A $1,000-par bond has a 5% fixed coupon and trades for $920. What is its annual coupon interest?

  • $46
  • $25
  • $50
  • $80
Reveal answer

Correct answer: $50

Annual coupon interest is $1,000 multiplied by 5%, or $50. The $920 market price is not the coupon base.

A $1,000-par bond is quoted at 97.5. What is its quoted dollar price before accrued interest and charges?

  • $97.50
  • $1,025
  • $1,000
  • $975
Reveal answer

Correct answer: $975

A quote of 97.5 is 97.5% of par. Multiply $1,000 by 0.975 to get $975.

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