Unamortized Bond Discount: Definition and How It Works

An unamortized bond discount is the remaining portion of a bond’s discount that has not yet been written off as interest expense. It represents the difference between a bond’s face (par) value and the proceeds received when the bond was issued, after subtracting any portion already amortized.

Why a Bond Sells at a Discount

  • A bond sells at a discount when its coupon rate is lower than current market rates for similar credit risk.
  • Because bond prices and interest rates move inversely, an issuer’s fixed coupon becomes less attractive if market rates rise after issuance. Investors will pay less than par to achieve a market-equivalent yield, creating a discount.

Accounting and Amortization

  • Issuers can either expense the entire discount immediately (if immaterial) or amortize it over the life of the bond.
  • Amortization spreads the discount across periods as additional interest expense, increasing the issuer’s reported interest expense each period.
  • The unamortized bond discount is the portion still remaining on the balance sheet until fully written off.

What Happens Over Time

  • As the bond approaches maturity, the unamortized discount is gradually reduced through amortization, and the bond’s carrying value moves toward par.
  • If the bond is sold before maturity, the remaining unamortized discount may result in a recognized capital loss for the holder.

Unamortized Bond Premium (The Reverse)

  • A bond premium occurs when a bond sells above par because its coupon rate is higher than prevailing market rates.
  • The unamortized bond premium is the portion of that premium yet to be amortized. Amortizing a premium decreases interest expense over time.

Key Points Summary

  • Unamortized bond discount = portion of issuing discount not yet written off.
  • Occurs when a bond’s coupon < market interest rates at issuance or after rates rise.
  • Typically amortized over the bond’s life, increasing interest expense each period.
  • Remaining discount decreases over time or becomes a loss if the bond is sold before maturity.
  • The opposite concept is an unamortized bond premium, which reduces future interest expense when amortized.