Where P is the bond issue price, m is the periodic market interest rate, F is bond premium amortization calculator the face value of the bond and c is the periodic coupon rate. As with the discount example, the total interest expense over its lifetime under the straight-line and the effective interest methods is the same. This schedule is set up in the same manner as the discount amortization schedule in the above exhibit, except that the premium amortization reduces the cash interest expense every period. The partial balance sheet from our article on bonds issued at a premium shows that the $100,000, 5-year, 12% bonds issued to yield 10% were issued at a price of $107,722, or at a premium of $7,722. The table starts with the book value of the bond which is the face value (250,000) less the discount on bonds payable (8,663), which equals the amount of cash received from the bond issue (241,337).
The math for the Effective Interest Rate to Call is the same as for Effective Interest Rate to Maturity, except callable premium bonds amortize in full by the call date. If refunded in advance or on the call date, the premium will be fully or nearly fully amortized by that time. For a discount bond, the «yield to worst» is the yield to maturity, not the yield to call. As a result, the price of a callable discount bond is based on the yield to maturity, which generates the discount. As we amortize the premium or discount, the bond’s book value reduces to its par amount by the maturity date. To calculate Book Value Effective Interest, multiply the Outstanding Book Value by the bond’s Yield to Maturity.
The constant yield and straight-line methods are used to calculate amortizable bond premium, with each method having its advantages and disadvantages. accounting When an investor buys a bond at a price higher than its face value, they are effectively paying a premium for that bond. This premium often arises because the bond’s coupon rate (interest rate) is higher than the current market rate, making it more attractive to investors.
For the past 52 years, Harold Averkamp (CPA, MBA) hasworked as an accounting supervisor, manager, consultant, university instructor, and innovator in teaching accounting online. For the past 52 years, Harold Averkamp (CPA, MBA) has worked as an accounting supervisor, manager, consultant, university instructor, and innovator in teaching accounting online. It influences the present value of the bond and the calculation of interest and principal payments. The articles and research support materials available on this site are educational and are not intended to be investment or tax advice. All such information is provided solely for convenience purposes only and all users thereof should be guided accordingly. For example, a semi-annual bond has two interest payments each year and the number 2 would be entered.
When bonds are issued, they can be sold at either a premium or a discount depending on how their coupon rate compares to current market interest rates. Understanding the amortization of these premiums and discounts is essential for accurately tracking bond value over time. As illustrated, the $1,007,000, 5-year, 12% bonds issued to yield 14% were sold at a price of $92,976, or at a discount of $7,024. The table below shows how this discount is amortized using the effective interest method over the life of the bond.