Amortization of Bond Premium (2024)

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
      • #1 – Straight Line Method
        • Example of Premium Bond Amortization
      • #2 – Effective Interest Rate Method
    • Example of Premium Bond Amortization
    • Advantages and Limitations
    • Conclusion
    • Recommended Articles

Amortization of Bond Premium refers to the amortization of excess premium paid over and above the face value of the Bond. A bond has a stated coupon rate of interest and pays interest to the bond investors based on such a coupon rate of interest. It is valued at the present value of interest payments and face value determined based on the market interest rate. The investors pay more than the face value of the bonds when the stated interest rate (also called coupon rateCoupon RateThe coupon rate is the ROI (rate of interest) paid on the bond's face value by the bond's issuers. It determines the repayment amount made by GIS (guaranteed income security). Coupon Rate = Annualized Interest Payment / Par Value of Bond * 100%read more) exceeds the market interest rate.

Methods of Amortization of Bond Premium Calculation

You can download this Premium Bond Amortization Excel Template here –Premium Bond Amortization Excel Template

Premium Bond Amortization can be calculated based on two methods, namely,

Amortization of Bond Premium (1)

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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:

Bond Premium Amortized = Bond Premium / No. of Years

Example of Premium Bond Amortization

Let us consider if 1000 bonds are issued for $ 22,916, having a face value of $20,000.

The Bond Premium will be

Amortization of Bond Premium (2)

Bond Premium = $2916000

Bond Premium Amortized calculation can be done using the above formula as,

Amortization of Bond Premium (3)

=($22,916 – $ 20,000) X 1000

Bond Premium Amortized will be –

Amortization of Bond Premium (4)

Bond Premium Amortized =$ 291,600

Therefore, the Bond Premium amortized will be $ 2,916,000/10 = $ 291,600

#2 – Effective Interest Rate Method

Under the Effective Interest Rate Method, amortization is done by reducing the balance in the premium on bonds payableBonds PayableBonds payable are the company's long-term debt with the promise to pay the interest due and principal at the specified time as decided between the parties. A bond payable account is credited in the books of accounts with the corresponding debit to the cash account on the issue date.read more the difference between two terms or periods. Under this method, the bond premium to be amortized periodically is calculated by using the following formula:

Bond Premium Amortized= P x R – N x Y

Where,

  • P = Bond issue price,
  • R = Market Rate of interest,
  • N = Nominal or face value and,
  • Y = coupon rate of interest/ Yield

Example of Premium Bond Amortization

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:

Amortization of Bond Premium (5)

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:

Amortization of Bond Premium (6)

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.

However, in the case of tax-exempt bonds, the amortized premium is not deductible while determining the taxable incomeDetermining The Taxable IncomeThe taxable income formula calculates the total income taxable under the income tax. It differs based on whether you are calculating the taxable income for an individual or a business corporation.read more. But the bond premium has to be amortized for each period, and a reduction of cost basis in the bond is necessary each year.

Conclusion

For a Bond investor, the premium paid for a bond represents part of the cost basis for tax purposes. Therefore, premium amortized yearly can be used to adjust or reduce tax liability created by interest incomeInterest IncomeInterest Income is the amount of revenue generated by interest-yielding investments like certificates of deposit, savings accounts, or other investments & it is reported in the Company’s income statement. read more generated from such bonds.

Calculating Bond Premium amortized can be done by any of the two methods mentioned above, depending on the type of bond. Both bond amortization methods give the same final results. However, the difference arises in the pace of interest expenses. The Straight Line method of amortizationStraight Line Method Of AmortizationStraight-line amortization amortizes the cost of intangible assets or allocates the interest expenses associated with the bond's issue in each accounting period until the end of the intangible asset or maturity of bond respectively in the income statement.read more gives the same interest expenses in each period.

An effective Interest rate method of amortization, on the other hand, gives decreasing interest expenses over time for premium bondsPremium BondsA premium bond refers to a financial instrument that trades in the secondary market at a price exceeding its face value. This occurs when a bond’s coupon rate surpasses its prevailing market rate of interest. For instance, a bond with a face value (par value) of $750, trading at $780, will reflect that the bond is trading at a premium of $30 ($780-750).read more. In simple words, expenses decrease with a decrease in book value under the Effective Interest rate method. This logic seems practical, but the straight-line method is easier to calculate. If the primary consideration is to defer current income, the Effective Interest rate method should be chosen to amortize the premium on bonds. The Straight Method is preferable when the premium amount is very less or insignificant.

Recommended Articles

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 –

Amortization of Bond Premium (2024)

FAQs

What is the amortization of a bond premium? ›

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.

Are you required to amortize bond premium? ›

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.

How do you complete a bond amortization schedule? ›

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 do you calculate amortization rate? ›

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.

How do you calculate bond premium value? ›

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.

What is amortization of bond premium in cash flow statement? ›

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.

How do I create a bond amortization table in Excel? ›

How to create an amortization schedule in Excel
  1. Create column A labels. ...
  2. Enter loan information in column B. ...
  3. Calculate payments in cell B4. ...
  4. Create column headers inside row seven. ...
  5. Fill in the "Period" column. ...
  6. Fill in cells B8 to H8. ...
  7. Fill in cells B9 to H9. ...
  8. Fill out the rest of the schedule using the crosshairs.
Feb 3, 2023

What is an amortization schedule for a bond issued at a premium quizlet? ›

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.

What are the two methods to amortize the bond premium and discount? ›

Effective-interest and straight-line amortization are the two options for amortizing bond premiums or discounts.

Where do I report bond premium amortization? ›

Reporting interest and bond premium.

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.

How does amortization of bond premium affect cost basis? ›

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.

What is an amortization schedule answers? ›

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.

How do you explain an amortization schedule? ›

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.

What is a fully amortized schedule? ›

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.

What is an example of bond amortization? ›

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? ›

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.

Can I make my own amortization schedule? ›

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.

What is an example of a premium bond? ›

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.

What is the entry to record the amortization of a premium? ›

Answer and Explanation: Correct answer: c. debit Interest Expense, debit Premium on Bonds Payable, credit Cash.

Does amortization of a premium increase bond interest expense? ›

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.

What are two types of amortization? ›

What are the Types of Amortization?
  • Full Amortization: You pay the amortization amount, making the balance zero at the end of the term.
  • Partial Amortization: Your monthly amount is reduced when you make a partial payment of the amortization amount.
Dec 31, 2022

Is there an Excel formula for amortization? ›

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.

Does Excel have an amortization formula? ›

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.

What Excel formula can you use to determine the value of a bond? ›

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? ›

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.

Why is amortization of a bond premium offset against interest expense? ›

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.

How to calculate interest expense in bond amortization schedule? ›

Interest expense is calculated using the following formula: Interest Expense = Carrying Value x Effective Interest Rate.

How do you amortize a bond premium straight-line? ›

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.

What must be used to amortize a discount or premium unless some other method yields a similar result? ›

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.

How does bond amortization work? ›

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.

Can premium amortization be negative? ›

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.

What happens if a premium on a bonds payable transaction is not amortized? ›

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.

What is amortization for dummies? ›

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.

What is amortization easily explained? ›

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.

What does amortization schedule look like? ›

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.

What are the two components that make up an amortization schedule? ›

Every loan payment has two components, interest and principal.

What is an example of an amortized cost? ›

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.

What are three different methods of amortization? ›

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.

What is the formula for fully amortized? ›

Amortization is Calculated Using Below formula: ƥ = rP / n * [1-(1+r/n)-nt]

What does amortized over 25 years mean? ›

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.

How do you calculate amortization on a spreadsheet? ›

How to create an amortization schedule in Excel
  1. Create column A labels. ...
  2. Enter loan information in column B. ...
  3. Calculate payments in cell B4. ...
  4. Create column headers inside row seven. ...
  5. Fill in the "Period" column. ...
  6. Fill in cells B8 to H8. ...
  7. Fill in cells B9 to H9. ...
  8. Fill out the rest of the schedule using the crosshairs.
Feb 3, 2023

What are the formulas for amortization in Excel? ›

Loan Amortization Schedule in Excel
  • =PMT(rate, nper,pv,[fv],[type])
  • =PPMT(rate, per, nper, pv, [fv], [type])
  • =IPMT(rate,nper,pv,[fv],[type])
  • =PMT(0.42%, 360, $400k)
  • =IPMT(0.42%, Month Number, 360, $400k)
  • =PPMT(0.42%, Month Number, 360, $400k)

How do you calculate premium in Excel? ›

Calculating Risk Premium in Excel

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.

What is straight line amortization? ›

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.

What is an example of amortization of bonds issued at a discount? ›

Example of the Amortization of a Bond Discount

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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