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Bond
A debt instrument through which an issuer borrows money and promises to repay principal and make interest payments.
Face Value of a Bond
The principal amount the issuer promises to repay at maturity.
Stated Interest Rate
The contractual rate used to calculate the bond's cash interest payments.
Market Interest Rate
The rate investors require for comparable debt; used to discount future bond cash flows at issuance and calculate interest expense under the effective interest method.
Cash Interest Payment
Face value × Stated interest rate per period.
Bond Price
The present value of the bond's future principal repayment plus the present value of its future interest payments.
Bond Price Formula
Present value of face value + Present value of interest payments.
Present Value of Bond Face Value
Face value multiplied by the present value factor for a single sum.
Present Value of Bond Interest Payments
Periodic cash interest payment multiplied by the present value of an ordinary annuity factor when payments are equal.
Bond Issued at Face Value
A bond issued when the stated interest rate equals the market interest rate.
Bond Issued at a Premium
A bond issued for more than face value because the stated interest rate exceeds the market interest rate.
Bond Issued at a Discount
A bond issued for less than face value because the stated interest rate is below the market interest rate.
Bond Premium
The amount by which a bond's issue price exceeds its face value.
Bond Discount
The amount by which a bond's face value exceeds its issue price.
Effective Interest Method
A method of amortizing bond premiums and discounts in which interest expense is calculated using the beginning carrying value and the market interest rate per period.
Interest Expense under the Effective Interest Method
Beginning carrying value × Market interest rate per period.
Bond Discount Amortization
Interest expense minus cash interest paid when a bond is issued at a discount.
Bond Premium Amortization
Cash interest paid minus interest expense when a bond is issued at a premium.
Carrying Value of a Discount Bond
Increases over time toward face value as the discount is amortized.
Carrying Value of a Premium Bond
Decreases over time toward face value as the premium is amortized.
New Carrying Value of a Discount Bond
Beginning carrying value + Discount amortization.
New Carrying Value of a Premium Bond
Beginning carrying value − Premium amortization.
Semiannual Bond Interest Expense
Beginning carrying value × (Annual market interest rate ÷ 2).
Semiannual Cash Interest Payment
Face value × (Annual stated interest rate ÷ 2).
Number of Semiannual Periods
Number of years until maturity × 2.
Bond Pricing with Semiannual Payments
Divide the annual stated and market interest rates by two and multiply the number of years by two to determine the number of periods.