It pays a 5% coupon rate semi-annually and has a yield to maturity of 3.5%. Let’s calculate the amortization for the first period and second period. The first step in calculating the premium amortization is to determine the yield to maturity (YTM), which is the discount rate that equates the present value of all remaining payments to be made on the bond to the basis in the bond.

- Free mortgage calculators or amortization calculators are easily found online to help with these calculations quickly.
- So, when interest rates fall, bond prices rise as investors rush to buy older higher-yielding bonds and as a result, those bonds can sell at a premium.
- Under this second type of accounting, the bond discount amortized is based on the difference between the bond’s interest income and its interest payable.
- A corporate bond is a type of debt security issued by a corporation to raise capital and then sold to investors.
- In lending, the effective annual interest rate might refer to an interest calculation wherein compounding occurs more than once a year.
- Over the life of the bond, the balance in the account Premium on Bonds Payable must be reduced to $0.

As we amortize the premium/discount over the life of the bond, the book value is reduced back to its original par amount at the maturity date of the bond. Using the straight-line method, we can amortize the $15,000 bond discount by dividing it by the 3 years life of the bonds which gives the result of $5,000 per year. This journal entry will reduce the interest expense on the income statement that we record at the time of interest payment. The effective yield assumes the funds received from coupon payment are reinvested at the same rate paid by the bond.

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DebtBook’s Effective Interest Rate to Call method amortizes the premium on these maturities with that likelihood in mind. Thus, the bond premium to be amortized yearly under this method comes to $560,000. Using the straight-line method, we can amortize the $12,000 bond premium to be $4,000 per year for each of the three years of bond periods. As an example let’s say that Apple Inc. (AAPL) issued a bond with a $1,000 face value with a 10-year maturity. The interest rate on the bond is 5% while the bond has a credit rating of AAA from the credit rating agencies.

The obligation provides for unconditional payments of interest of $9,000, payable on January 15 of each year. C uses the cash receipts and disbursements method of accounting, and C decides to use annual accrual periods ending on January 15 of each year. As indicated in Example 1 of this paragraph (c), this same amount would be taken into income at the same time had A used annual accrual periods. In the case of a tax-exempt obligation, if the bond premium allocable to an accrual period exceeds the qualified stated interest allocable to the accrual period, the excess is a nondeductible loss. A holder amortizes bond premium by offsetting the qualified stated interest allocable to an accrual period with the bond premium allocable to the accrual period.

## Amortizing the Bond

Rather than assigning an equal amount of amortization for each period, effective-interest computes different amounts to be applied to interest expense during each period. Under this second type of accounting, the bond discount amortized is based on the difference between the bond’s interest income and its interest payable. Effective-interest method requires a financial calculator or spreadsheet software to derive. The principal paid off over the life of an amortized loan or bond is divvied up according to an amortization schedule, typically through calculating equal payments all along the way. This means that in the early years of a loan, the interest portion of the debt service will be larger than the principal portion. As the loan matures, however, the portion of each payment that goes towards interest will become lesser and the payment to principal will be larger.

## Journal entry for amortization of bond premium

If inflation is 1.8%, a Treasury bond (T-bond) with a 2% effective interest rate has a real interest rate of 0.2% or the effective rate minus the inflation rate. The account Premium on Bonds Payable is a liability account that will always appear on the balance sheet with the account Bonds Payable. In other words, if the bonds are a long-term liability, both Bonds Payable and Premium on Bonds Payable will be reported on the balance sheet as long-term liabilities. The combination of these two accounts is known as the book value or carrying value of the bonds. On January 1, 2022 the book value of this bond is $104,100 ($100,000 credit balance in Bonds Payable + $4,100 credit balance in Premium on Bonds Payable).

## Definition of Amortization of Premium on Bonds Payable

When market interest rates rise, for any given bond, the fixed coupon rate is lower relative to other bonds in the market. It makes the bond more unattractive, and it is why the bond is priced at a discount. For the remaining eight periods (there are 10 accrual or payment periods for a semi-annual bond with a maturity of five years), use the same structure presented above to calculate the amortizable bond premium.

Those who invest in taxable premium bonds typically benefit from amortizing the premium, because the amount amortized can be used to offset the interest income from the bond. This, in turn, will reduce the amount of taxable income the starting balance bond generates, and thus any income tax due on it as well. The cost basis of the taxable bond is reduced by the amount of premium amortized each year. The Investment in Bonds account is debited for four months of discount amortization.

Free mortgage calculators or amortization calculators are easily found online to help with these calculations quickly. One of the biggest misconceptions surrounding amortizing discounts and premiums is that they should never be negative. This is not the case; however, you must follow certain guidelines when it comes to reporting negative amounts on your balance sheet if you choose to take them into account in determining net income. This $417 consists of 4 months’ cash interest plus $17 of the amortized discount. Note that from the investor’s perspective, the discount increases interest revenue, and from the issuer’s point of view, it increases interest expense.

This means that the corporation will be required to make semiannual interest payments of $4,500 ($100,000 x 9% x 6/12). How to use the straight-line method Calculating bond premium amortization using the straight-line method couldn’t be simpler. First, calculate the bond premium by subtracting the face value of the bond from what you paid for it. Then, figure out how many months are left before the bond matures and divide the bond premium by the number of months remaining. Companies may also issue amortized bonds and use the effective-interest method.

For older bonds issued before Sept. 27, 1985, the straight-line method is still an option. Assume that a corporation issues bonds payable having a maturity value of $1,000,000 and receives a premium of $60,000. The bonds mature in 20 years and there was no accrued interest at the time the bonds are issued. Depending on the type of fixed-income security an investor purchases, there can be different tax implications for investing in bonds.