When there is the issue of the bonds to the investor with the coupon rate exceeding the rate of interest prevailing in the market then the investors may price the price more than that of the face value of bond, such excess premium received is amortized by the company over the bond term and the concept is known as the amortization of the Bond Premium.
Table of contents
What is the Amortization of Bond Premium?
Methods of Amortization of Bond Premium Calculation
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#1 – Straight Line Method
Under the straight-line method, the bond premium is amortized equally in each period. It reduces the premium amount equally over the life of the bond. The formula for calculating the periodic amortization under the straight-line method is:
Let us consider an investor that purchased a bond for $20,500. The bond’s maturity period is 10 years, and the face value is $20,000. The coupon rate of interest is 10% and has a market rate of interest at 8%.
Let us calculate the amortization for the first, second, and third period based on the figures given above:
For the remaining 7 periods, we can use the same structure presented above to calculate the amortizable bond premium. It can be seen from the above example that a bond purchased at a premium has a negative accrual, or in other words, the basis of the bond amortizes.
The accounting treatment for Interest paid and bond premium amortized will remain the same, irrespective of the method used for amortization.
The journal entry for interest payment and bond premium amortized will be:
Advantages and Limitations
The primary advantage of premium bond amortization is that it is a tax deduction in the current tax year. Suppose the interest paid on the bond is taxable. In that case, the premium paid on the bond can be amortized, or in other words, a part of the premium can be utilized towards reducing the amount of taxable income. Also, it leads to reducing the cost basis of the taxable bond for premium amortized in each period.
This article has been a guide to Premium Bond Amortization is and its definition. Here we discuss the top 2 methods to calculate amortization of bond premium along with practical examples, advantages, and limitations. You may learn more about accounting from the following articles –
What is an Amortizable Bond Premium? An amortizable bond premium refers to the excess amount paid for a bond over its face value or par value. Over time, the amount of premium is amortized until the bond reaches its maturity.
Premium on taxable bonds may be amortized, and premium on tax-exempt bonds must be amortized (IRC § 171 ). See Explanation: §171, Amortizable Bond Premium . A taxpayer elects to amortize bond premium by claiming an offset to taxable interest income on the tax return for the first year in which the election is to apply.
Divide the total discount or premium by the number of remaining periods in order to determine the amount to amortize in the current period. Multiply the face value of the bond by its stated interest rate to arrive at the interest payment to be made on the bond in the period.
How to Calculate Amortization of Loans. You'll need to divide your annual interest rate by 12. For example, if your annual interest rate is 3%, then your monthly interest rate will be 0.25% (0.03 annual interest rate ÷ 12 months). You'll also multiply the number of years in your loan term by 12.
The total bond premium is equal to the market value of the bond less the face value. For instance, with a 10-year bond paying 6% interest that has a $1,000 face value and currently costs $1,080 in the market, the bond premium is the $80 difference between the two figures.
The amortization of bonds is a process where the premium or discounted amount is assigned to the payment of interest of each period of the validity of the bond. The bonds can issue a discount or premium at par when the interest rate of the market is either higher or lower than the bond's coupon rate.
An amortization schedule provides a summary of the cash interest payments, interest expense, and changes in carrying value for each period. For bonds issued at a premium, the difference between interest expense and the cash paid increases the carrying value of the bonds.
For a debt instrument with OID that is a covered security, if you choose to report qualified stated interest in box 2 of Form 1099-OID, report any bond premium amortization allocable to the interest in box 10 of Form 1099-OID and not in boxes 11–13 of Form 1099-INT.
Note that the adjusted acquisition price at the beginning of the first accrual period is the same as the cost basis. After the initial amortization calculation, cost basis is decreased by the amount of bond premium previously amortized.
A loan amortization schedule is a table that shows each periodic loan payment that is owed, typically monthly, for level-payment loans. The schedule breaks down how much of each payment is designated for the interest versus the principal.
An amortization schedule, often called an amortization table, spells out exactly what you'll be paying each month for your mortgage. The table will show your monthly payment, how much of it will go toward your loan's principal balance, and how much will be used on interest.
A fully amortized payment is one where if you make every payment according to the original schedule on your term loan, your loan will be fully paid off by the end of the term. The word amortization simply refers to the amount of principal and interest paid each month over the course of your loan term.
For example, a bond that has a face value of $1,000 but is sold for $1,050 has a $50 premium. Over time, as the bond premium approaches maturity, the value of the bond falls until it is at par on the maturity date. The gradual decrease in the value of the bond is called amortization.
What Is an Example of Amortization? A company may amortize the cost of a patent over its useful life. Say the company owns the exclusive rights over a patent for 10 years, and the patent is not to renew at the end of the period.
You can build your own amortization schedule and include an extra payment each year to see how much that will affect the amount of time it takes to pay off the loan and lower the interest charges.
A bond that's trading at a premium means that its price is trading at a premium or higher than the face value of the bond. For example, a bond that was issued at a face value of $1,000 might trade at $1,050 or a $50 premium. Even though the bond has yet to reach maturity, it can trade in the secondary market.
Amortization of a premium increases bond interest expense, while amortization of a discount decreases bond interest expense. A bond may only be issued on an interest payment date. The cash paid for interest will always be greater than interest expense when using effective-interest amortization for a bond.
2. Enter the corresponding values in cells B1 through B3. In cell B4, enter the formula "=-PMT(B2/1200,B3*12,B1)" to have Excel automatically calculate the monthly payment. For example, if you had a $25,000 loan at 6.5 percent annual interest for 10 years, the monthly payment would be $283.87.
In order to create a loan amortization schedule in Excel, we can utilize the following built-in functions. “PMT” Function → The Excel PMT function determines the total payment owed each period—inclusive of the interest and principal payment.
Select the cell you will place the calculated price at, type the formula =PV(B20/2,B22,B19*B23/2,B19), and press the Enter key. Note: In above formula, B20 is the annual interest rate, B22 is the number of actual periods, B19*B23/2 gets the coupon, B19 is the face value, and you can change them as you need.
Which statements are TRUE about amortization of bond premiums? Amortization of bond premiums reduces reported interest income each year, but it does not represent a cash loss, since the issuer pays the stated interest amount.
By amortizing, the investor is able to reduce the amount of taxable interest for each year he or she owns the bond. This is because the amortized premium offsets the ordinary income of the coupon payment.
Premium on Bonds Payable with Straight-Line Amortization
In our example, the bond premium of $4,100 must be reduced to $0 during the bond's 5-year life. By reducing the bond premium to $0, the bond's book value will be decreasing from $104,100 on January 1, 2022 to $100,000 when the bonds mature on December 31, 2026.
2) The effective-interest method is required to amortize premium or discount unless some other method—such as the straight-line method—yields a similar result. The effective-interest method is applied to bond investments in a fashion similar to that described for bonds payable.
An amortized bond is a bond with a face value (or par) and interest that is paid down gradually until the bond reaches maturity; bond maturity may range up to 30 years. Amortization is a helpful accounting tactic that is considerably beneficial to the company issuing the bond.
Negative amortization means that even when you pay, the amount you owe will still go up because you are not paying enough to cover the interest. Your lender may offer you the choice to make a minimum payment that doesn't cover the interest you owe.
Total interest expense and the carrying amount of the bonds decrease each period when amortizing a premium. Thus, if the premium is not amortized, the interest expense will be overstated. Overstating an expense will understate net income.
Amortization is the process of spreading out a loan into a series of fixed payments. The loan is paid off at the end of the payment schedule. Some of each payment goes toward interest costs, and some goes toward your loan balance. Over time, you pay less in interest and more toward your balance.
First, we should know that amortization refers to a reduction in value over time. While a car, computer or other asset will drop in worth as the years go by, the amount we owe on a loan, mortgage or other debt will fall as we make repayments.
In an amortization schedule, each repayment installment is divided into equal amounts and consists of both principal and interest. At the beginning of the schedule, a greater amount of the payment is applied to interest. With each subsequent payment, a larger percentage of that flat rate is applied to the principal.
The principles of amortised cost accounting mean that interest must be recorded on the amount outstanding. This is relatively straight forward for many instruments. For example, on a $10m 5% loan, with $10m repayable at the end of a three-year term, interest would simply be recorded as $500,000 a year.
Similar to what obtains for the depreciation of tangible assets, there are three primary methods of amortization: the straight-line method, the accelerated method, and the units-of-production method.
When the amortization period of the loan is longer than the payment term, there is a loan balance left at maturity — sometimes referred to as a balloon payment. If you have a 10 year term, but the amortization is 25 years, you'll essentially have 15 years of loan principal due at the end.
Next, enter the risk-free rate in a separate empty cell. For example, you can enter the risk-free rate in cell B2 of the spreadsheet and the expected return in cell B3. In cell C3, you might add the following formula: =(B3-B2). The result is the risk premium.
Straight line amortization is a method for charging the cost of an intangible asset to expense at a consistent rate over time. This method is most commonly applied to intangible assets, since these assets are not usually consumed at an accelerated rate, as can be the case with some tangible assets.
The amount is a debit to interest expense, since it represents an increase of the stated interest rate of 8% on the bonds; this is the case because investors paid less than the face value of the bonds, so the effective interest rate to the company is higher than 8%.
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