CPA Financial Accounting & Reporting (FAR) • Select Financial Statement Accounts

Bonds Issued At Par, Discount, Premium — Account For Bonds Issued At Par, Discount, Or Premium

Master the journal entries, amortization methods, and financial statement impacts of bonds issued at par, discount, and premium.

A certification badge with calculator and balance symbols for CPA preparation
Inside this lesson 10 sections 5 questions 9 figures

SECTION 1

Historical Context & Motivation

The concept of issuing bonds as a mechanism for raising capital has deep historical roots, stretching back centuries to sovereign governments seeking to finance wars and public works. As corporate entities emerged and capital markets matured, bond financing became a cornerstone of both government and corporate finance. The accounting treatment of bonds — particularly the distinction between issuance at par, at a discount, and at a premium — evolved alongside the development of accrual accounting and the matching principle. Understanding this evolution is essential for grasping why modern GAAP requires the systematic amortization of bond premiums and discounts over the life of the instrument, ensuring that interest expense on the income statement faithfully represents the economic cost of borrowing.

1693 • Birth of Government Bonds

The Bank of England issues the first modern government bonds (gilts) to fund King William III's war against France, establishing the framework for fixed-income instruments with stated coupon rates and maturity dates.

1850s • Railroad Bond Markets

American railroad companies issue bonds at varying prices relative to face value, creating the practical need to distinguish between par, discount, and premium issuances and to account for the difference over time.

1934 • SEC & Financial Reporting Standards

The Securities and Exchange Commission is established, driving standardized financial reporting. Accounting for bond discounts and premiums becomes formalized under emerging GAAP, requiring systematic amortization.

1972 • APB Opinion No. 21

The Accounting Principles Board issues Opinion No. 21 (Interest on Receivables and Payables), solidifying the effective-interest method as the preferred approach for amortizing premiums and discounts on long-term debt instruments.

2014+ • ASC 835 & Modern Codification

Under the FASB Accounting Standards Codification (ASC 835-30), the effective-interest method is required for amortizing bond discounts and premiums, though the straight-line method remains acceptable if results are not materially different.

The central question that bond accounting addresses is deceptively simple: when a company borrows money by issuing bonds, and the market demands an interest rate that differs from the bond's stated (coupon) rate, how should the resulting premium or discount be reflected in the financial statements over the bond's life? The answer lies in the interplay between the stated rate, the market rate, and the time value of money — and in the accounting principle that interest expense should be recognized in a manner that reflects the true economic cost of the debt each period.

SECTION 2

Core Principles & Definitions

Before diving into journal entries and amortization schedules, it is critical to establish a firm conceptual foundation. Bond accounting rests on the relationship between two interest rates and the resulting price at which a bond trades in the market. The stated rate (also called the coupon rate or nominal rate) is printed on the face of the bond and determines the periodic cash interest payment. The market rate (also called the effective rate or yield) is the rate investors demand given prevailing economic conditions and the issuer's credit risk. The tension between these two rates dictates whether a bond is issued at par, at a discount, or at a premium.

1

Issued at Par

When the stated rate equals the market rate, investors are willing to pay exactly face value for the bond. No premium or discount arises. Cash interest expense equals the periodic coupon payment.
2

Issued at a Discount

When the stated rate is less than the market rate, investors demand compensation for below-market coupons. They pay less than face value. The discount represents additional interest cost to the issuer, amortized over the bond's life.
3

Issued at a Premium

When the stated rate is greater than the market rate, investors are willing to pay more than face value for the above-market coupons. The premium reduces the issuer's effective interest cost and is amortized over the bond's life.
4

Carrying Value

The carrying value (book value) of a bond equals face value minus unamortized discount (or plus unamortized premium). It converges to face value at maturity as the discount or premium is fully amortized.
5

Amortization Methods

Under effective-interest amortization, interest expense each period equals the carrying value × market rate, producing a constant rate on the outstanding balance. The straight-line method allocates equal amortization each period and is acceptable only when materially similar.
✦

KEY TAKEAWAY

Think of bond pricing like renting an apartment. If the landlord charges exactly the going market rent (stated rate = market rate), you pay the standard security deposit — that's par. If the rent is below market, the landlord charges a larger deposit up front to compensate — that's a premium to the buyer (a discount to the issuer, who receives less). If the rent is above market, the landlord might accept a smaller deposit — that's a discount to the buyer (a premium to the issuer, who receives more). Over the lease term, the effective cost to the tenant adjusts back to the true market rate, just as bond amortization adjusts the issuer's interest expense to the market yield.

SECTION 3

Visual Explanation — Bond Pricing Relationship

Bond Issue Price vs. Stated Rate – Market Rate RelationshipPREMIUM ZONEStated Rate > Market RateIssue Price > Face ValueBond is attractive → investors pay morePremium amortized: reduces interest expense each period$$$Above Face ValuePAR — Stated Rate = Market Rate — Issue Price = Face ValueNo premium or discount to amortizeDISCOUNT ZONEStated Rate < Market RateIssue Price < Face ValueBond is less attractive → investors pay lessDiscount amortized: increases interest expense each period$Below Face ValueHigher PriceLower PriceThe relationship between stated and market rates determines how the bond is priced at issuance.
This diagram illustrates the three zones of bond pricing. In the premium zone (top), the stated rate exceeds the market rate, so the bond commands a price above face value. The par line (middle) represents equilibrium where both rates are equal. In the discount zone (bottom), the stated rate is below market, pushing the price below face value.

The diagram above captures the fundamental pricing logic that drives all of bond accounting. When a bond's stated coupon rate offers investors exactly what they could earn elsewhere (the market rate), they have no reason to pay more or less than the bond's face value — the bond is issued at par. If the coupon exceeds the market rate, the bond's cash flows are more valuable than competing investments, and investors bid the price up above face value, creating a premium. Conversely, a coupon rate below market makes the bond less attractive, so investors demand a price reduction — a discount. This pricing mechanism ensures that every bond, regardless of its coupon, ultimately yields the market rate of return to its investors.

SECTION 4

Mathematical Framework

The price of a bond at issuance is determined by discounting its future cash flows — periodic coupon payments and the lump-sum face value at maturity — at the market rate of interest. This present-value framework underpins the classification of bonds as issued at par, discount, or premium and dictates the subsequent amortization entries.

BOND ISSUE PRICE

IssuePrice=C×[(1−(1+r)−n)/r]+F×(1+r)−nIssue Price = C × [(1 − (1 + r)⁻ⁿ) / r] + F × (1 + r)⁻ⁿ

Where C = periodic coupon payment (Face Value × Stated Rate per period), r = market (effective) interest rate per period, n = total number of periods, and F = face (par) value of the bond.

EFFECTIVE-INTEREST METHOD — INTEREST EXPENSE

InterestExpense=CarryingValueatBeginningofPeriod×MarketRateperPeriodInterest Expense = Carrying Value at Beginning of Period × Market Rate per Period

Under the effective-interest method, interest expense changes each period as the carrying value changes. The carrying value = Face Value − Unamortized Discount (or + Unamortized Premium).

AMORTIZATION PER PERIOD

Amortization=∣InterestExpense−CashInterestPaid∣Amortization = |Interest Expense − Cash Interest Paid|

Where Cash Interest Paid = Face Value × Stated Rate per Period. For a discount bond, Interest Expense > Cash Paid, so the discount is reduced. For a premium bond, Interest Expense < Cash Paid, so the premium is reduced.

STRAIGHT-LINE METHOD (ALTERNATIVE)

AmortizationperPeriod=TotalDiscountorPremium/NumberofPeriodsAmortization per Period = Total Discount or Premium / Number of Periods

The straight-line method allocates an equal amount of the discount or premium to each interest period. Acceptable under GAAP only when the results are not materially different from the effective-interest method.

💡

CPA Exam Tip

On the CPA FAR exam, the effective-interest method is the primary focus. Always default to this method unless the question explicitly states straight-line. Remember that under the effective-interest method, the interest expense changes each period while the cash payment remains constant — the difference is the amortization of the discount or premium.

SECTION 5

Detailed Breakdown — Journal Entries for Par, Discount, and Premium

The journal entries for bond issuance and subsequent interest payments differ based on whether the bond was issued at par, at a discount, or at a premium. The following table provides the entry templates, and the diagram below illustrates how the carrying value of a bond evolves over time under each scenario.

EventAt ParAt DiscountAt Premium
IssuanceDr Cash (Face) Cr Bonds Payable (Face)Dr Cash (Issue Price) Dr Discount on B/P (Diff) Cr Bonds Payable (Face)Dr Cash (Issue Price) Cr Premium on B/P (Diff) Cr Bonds Payable (Face)
Interest Payment (Effective-Interest)Dr Interest Expense Cr Cash (Both = Face × Stated Rate)Dr Interest Expense (CV × Mkt Rate) Cr Discount on B/P (Amort) Cr Cash (Face × Stated Rate)Dr Interest Expense (CV × Mkt Rate) Dr Premium on B/P (Amort) Cr Cash (Face × Stated Rate)
MaturityDr Bonds Payable (Face) Cr Cash (Face)Dr Bonds Payable (Face) Cr Cash (Face) (Discount fully amortized)Dr Bonds Payable (Face) Cr Cash (Face) (Premium fully amortized)

Journal Entry Templates — Bonds at Par, Discount, and Premium

Carrying Value Over the Life of a BondTime → MaturityCarrying Value ($)Face Value (Par)AT PAR: Carrying Value = Face Value (constant)PREMIUM: CV starts above parPremium amortized ↓ each periodDISCOUNT: CV starts below parDiscount amortized ↑ each periodAll converge to Face Value at maturity →Under the effective-interest method, these curves are slightly non-linear; under straight-line, they are linear.
This diagram shows how the carrying value of a bond converges to face value at maturity. A premium bond starts above par and its carrying value decreases over time as the premium is amortized. A discount bond starts below par and its carrying value increases. A par bond maintains a constant carrying value equal to face value throughout its life.

A critical point to internalize is that the Discount on Bonds Payable is a contra-liability account (it reduces the carrying value of bonds payable), while the Premium on Bonds Payable is an adjunct-liability account (it increases the carrying value). On the balance sheet, bonds payable is reported at its carrying value — face value net of any unamortized discount or premium. This ensures that the liability reported reflects the present value of remaining cash flows discounted at the original market rate, a key requirement of the faithful representation objective under the FASB conceptual framework.

SECTION 6

Worked Example — Bond Issued at a Discount (Effective-Interest Method)

On January 1, Year 1, Apex Corp. issues $100,000 face value, 5-year bonds with a stated rate of 8% (paid semiannually on June 30 and December 31). The market rate at issuance is 10%. We will compute the issue price, record the issuance journal entry, and prepare the first two periods of the amortization schedule using the effective-interest method.

Apex Corp. — Discount Bond Issuance & Amortization

  1. 1

    Step 1 — Identify Key Variables

    Face Value (F) = $100,000. Stated rate = 8% annually → 4% per semiannual period. Market rate = 10% annually → 5% per semiannual period. Number of periods (n) = 5 years × 2 = 10 semiannual periods. Coupon payment (C) = $100,000 × 4% = $4,000 per period.
  2. 2

    Step 2 — Calculate Present Value of Coupon Payments (Annuity)

    PV of Annuity = C × [(1 − (1 + r)⁻ⁿ) / r] = $4,000 × [(1 − (1.05)⁻¹⁰) / 0.05]. First, (1.05)⁻¹⁰ = 1 / 1.62889 = 0.61391. Then: (1 − 0.61391) / 0.05 = 0.38609 / 0.05 = 7.72173. PV of coupons = $4,000 × 7.72173 = $30,887.
    PV of Coupons = $30,887
  3. 3

    Step 3 — Calculate Present Value of Face Value (Lump Sum)

    PV of Face Value = F × (1 + r)⁻ⁿ = $100,000 × 0.61391 = $61,391.
    PV of Face Value = $61,391
  4. 4

    Step 4 — Compute Total Issue Price & Discount

    Issue Price = $30,887 + $61,391 = $92,278. Since this is less than the $100,000 face value, the bond is issued at a discount. Discount = $100,000 − $92,278 = $7,722.
    Issue Price = $92,278 | Discount = $7,722
  5. 5

    Step 5 — Record the Issuance Journal Entry (Jan 1, Year 1)

    Dr Cash $92,278 | Dr Discount on Bonds Payable $7,722 | Cr Bonds Payable $100,000. The Discount on Bonds Payable is a contra-liability that reduces the net carrying value to $92,278.
  6. 6

    Step 6 — Period 1 Interest Entry (June 30, Year 1)

    Interest Expense = Carrying Value × Market Rate = $92,278 × 5% = $4,614. Cash Interest Paid = Face × Stated Rate = $100,000 × 4% = $4,000. Discount Amortization = $4,614 − $4,000 = $614. New Carrying Value = $92,278 + $614 = $92,892. Journal entry: Dr Interest Expense $4,614 | Cr Discount on B/P $614 | Cr Cash $4,000.
    Interest Expense = $4,614 | Amortization = $614 | New CV = $92,892
  7. 7

    Step 7 — Period 2 Interest Entry (Dec 31, Year 1)

    Interest Expense = $92,892 × 5% = $4,645 (rounded). Cash Interest Paid = $4,000. Discount Amortization = $4,645 − $4,000 = $645. New Carrying Value = $92,892 + $645 = $93,537. Notice how the interest expense increases each period because the carrying value is rising as the discount is amortized — this is the hallmark of the effective-interest method.
    Interest Expense = $4,645 | Amortization = $645 | New CV = $93,537
💡

Pattern Recognition

For a discount bond, interest expense always exceeds the cash payment, and interest expense increases each period. For a premium bond, interest expense is always less than the cash payment, and interest expense decreases each period. Memorize these patterns for the CPA exam.

SECTION 7

Effective-Interest vs. Straight-Line Amortization

Both the effective-interest and straight-line methods amortize the same total discount or premium over the bond's life, and both result in the same total interest expense. The critical difference lies in the allocation pattern across periods. Understanding when each method is appropriate — and the resulting financial statement effects — is essential for CPA candidates.

CharacteristicEffective-Interest MethodStraight-Line Method
GAAP StatusRequired under ASC 835-30Acceptable only if results are not materially different
Interest Expense PatternChanges each period (varies with carrying value)Constant each period
Amortization per PeriodVaries (increasing for discount, decreasing for premium)Equal every period (Total ÷ n)
Effective RateConstant effective rate on carrying value each periodEffective rate fluctuates slightly as carrying value changes
Total Interest ExpenseSame over entire lifeSame over entire life
Conceptual AccuracyMore accurate — reflects true economic costSimplified approximation
Computational ComplexityHigher — requires period-by-period scheduleLower — simple division

Comparison of Amortization Methods

✦

KEY TAKEAWAY

Think of the effective-interest method like a variable-rate mortgage payment allocation. Even though the total monthly payment is fixed, the split between principal and interest shifts each month because the outstanding balance changes. Similarly, in bond accounting, the cash coupon payment is fixed, but the split between interest expense and discount/premium amortization shifts each period because the carrying value (the 'outstanding balance' of the liability) changes. The effective-interest method faithfully captures this economic reality, which is why GAAP mandates it.

SECTION 8

Connections to Advanced Bond Accounting

Mastering bonds issued at par, discount, and premium is the essential foundation for more complex topics in the CPA FAR exam. Several advanced areas build directly on the concepts covered in this lesson, and understanding the bridge from basic bond accounting to these topics will significantly strengthen your exam performance and professional competence.

Basic Concept (This Lesson)Advanced ExtensionKey Difference / Addition
Bond issuance at discount/premiumEarly extinguishment of debtWhen bonds are retired before maturity, any remaining unamortized discount or premium is removed and a gain or loss is recognized on the income statement.
Fixed coupon rate bondsConvertible bondsConvertible bonds include an equity conversion feature. Under ASC 470-20, the bond may need to be separated into debt and equity components, affecting the initial discount recorded.
Amortization of premium/discountBond issuance costsUnder ASU 2015-03, debt issuance costs are presented as a direct deduction from the carrying amount of the debt (similar to a discount) and amortized using the effective-interest method.
Carrying value converges to face at maturityFair value option (ASC 825)Under the fair value option, an entity may elect to report bonds payable at fair value each period, with changes in fair value recognized in earnings. This bypasses traditional amortization entirely.
Bonds issued between interest datesAccrued interest at issuanceWhen bonds are issued between coupon dates, the buyer pays accrued interest to the issuer so that the first full coupon payment can be distributed. This adds a layer to the issuance journal entry.

How Basic Bond Accounting Connects to Advanced Topics

Each of these advanced topics builds on the same present-value logic and amortization mechanics you have learned here. For instance, computing the gain or loss on early extinguishment requires comparing the bond's carrying value at the retirement date (which depends on the cumulative amortization to that point) against the reacquisition price. Without a solid grasp of how carrying value is computed through the amortization schedule, these more complex scenarios become unnecessarily difficult. Think of the concepts in this lesson as the accounting equivalent of first principles — once they are internalized, the advanced material is largely a matter of layering additional details onto a well-understood foundation.

SECTION 9

Practice Problems

Question 1: CONCEPTUAL

A company issues bonds with a stated rate of 6% when the market rate is 6%. Will the bonds be issued at par, a discount, or a premium? Explain why the Discount on Bonds Payable or Premium on Bonds Payable account is not used in this case, and describe the nature of interest expense each period.
Show answer
When the stated rate equals the market rate, the bond is issued at par — meaning the issue price equals the face value. No premium or discount arises because investors are receiving exactly the market return from the coupon payments alone. Since there is no difference between the issue price and face value, neither the Discount on Bonds Payable nor the Premium on Bonds Payable account is needed. Each period, interest expense simply equals the cash coupon payment (Face Value × Stated Rate per period), and the carrying value remains constant at face value throughout the bond's life.

Question 2: BASIC CALCULATION

On January 1, a company issues $200,000 face value, 10-year bonds with a stated rate of 6% (annual payments). The market rate at issuance is 8%. Using the present value of an ordinary annuity factor of 6.71008 and the present value of $1 factor of 0.46319 (both at 8%, 10 periods), compute the issue price and the amount of the discount.
Show answer
The annual coupon payment is $200,000 × 6% = $12,000. The PV of the annuity of coupon payments = $12,000 × 6.71008 = $80,521. The PV of the face value = $200,000 × 0.46319 = $92,638. The total issue price = $80,521 + $92,638 = $173,159. The discount = $200,000 − $173,159 = $26,841. Because the stated rate (6%) is below the market rate (8%), investors demand a price below face value, resulting in a discount of $26,841 that will be amortized as additional interest expense over the 10-year life of the bond.

Question 3: INTERMEDIATE

Using the Apex Corp. example from the worked example (Section 6), compute the interest expense, discount amortization, and carrying value for Period 3 (June 30, Year 2). Recall that the carrying value at the end of Period 2 was $93,537, the market rate per semiannual period is 5%, and the cash interest per period is $4,000.
Show answer
Interest Expense for Period 3 = Carrying Value at beginning of Period 3 × Market Rate = $93,537 × 5% = $4,677 (rounded). Cash Interest Paid = $4,000 (unchanged, as this is always Face Value × Stated Rate per period). Discount Amortization = $4,677 − $4,000 = $677. New Carrying Value = $93,537 + $677 = $94,214. Notice the continuing pattern: each period, the carrying value rises, causing interest expense and amortization to increase as well. This accelerating amortization is characteristic of the effective-interest method applied to discount bonds.

Question 4: APPLIED

Beacon Inc. issues $500,000 face value, 5-year bonds on January 1, Year 1, with a 10% stated rate (semiannual payments) when the market rate is 8%. The issue price is $540,554. Using the straight-line method, compute (a) the total premium, (b) the premium amortization per period, (c) the interest expense per period, and (d) the carrying value at the end of the first year (after 2 periods). Then briefly explain why GAAP prefers the effective-interest method over this approach.
Show answer
(a) Total Premium = $540,554 − $500,000 = $40,554. (b) Premium amortization per semiannual period = $40,554 ÷ 10 periods = $4,055 (rounded). (c) Cash interest per period = $500,000 × 5% = $25,000. Interest expense per period = $25,000 − $4,055 = $20,945. (d) After 2 periods, cumulative amortization = 2 × $4,055 = $8,110. Carrying Value = $540,554 − $8,110 = $532,444. GAAP prefers the effective-interest method because the straight-line approach produces a constant interest expense each period, which does not reflect the economic reality that the outstanding debt obligation (carrying value) changes each period. Under the effective-interest method, the interest rate applied to the declining carrying value remains constant, producing a more faithful representation of the true borrowing cost.

Question 5: CRITICAL THINKING

Consider two companies, Company A and Company B, both issuing $1,000,000 face value, 10-year bonds on the same date with identical 7% stated rates. Company A has a AAA credit rating and faces a market rate of 6%, while Company B has a BB credit rating and faces a market rate of 9%. Compare and contrast the following for both companies: (1) whether each bond is issued at a premium or discount, (2) the directional effect on interest expense relative to cash interest paid each period, (3) the trajectory of carrying value over the life of the bond, and (4) the total cost of borrowing (total interest expense) over the bond's life. Explain how credit risk manifests in the accounting records under GAAP.
Show answer
(1) Company A (market rate 6% < stated rate 7%) issues at a premium — receiving more than face value because its high credit quality and above-market coupon make the bond very attractive. Company B (market rate 9% > stated rate 7%) issues at a discount — receiving less than face value because its higher credit risk requires a yield above the stated coupon. (2) Company A's interest expense each period will be less than the cash coupon paid (the difference is the premium amortization that reduces the premium account). Company B's interest expense will exceed the cash coupon paid (the difference is the discount amortization that reduces the discount account). (3) Company A's carrying value starts above face and decreases toward par at maturity. Company B's carrying value starts below face and increases toward par. (4) Total interest expense over the bond's life = total cash interest paid plus the discount (or minus the premium). Company A's total interest expense is lower because the premium offsets some of the cash outflows. Company B's total interest expense is higher because the discount represents additional borrowing cost beyond the coupon payments. Credit risk manifests in the accounting records through the market rate: a riskier issuer faces a higher market rate, which increases the discount (or eliminates a premium), thereby increasing interest expense recognized each period and the total cost of borrowing over the bond's life.

SUMMARY

Summary & Key Concepts

Summary

Bond accounting revolves around the relationship between the stated (coupon) rate and the market (effective) rate. When these rates are equal, the bond is issued at par and no premium or discount exists. When the stated rate is below the market rate, the bond is issued at a discount — the Discount on Bonds Payable (a contra-liability) is debited. When the stated rate exceeds the market rate, the bond is issued at a premium — the Premium on Bonds Payable (an adjunct-liability) is credited. The carrying value always converges to face value at maturity as the discount or premium is systematically amortized.

Under the effective-interest method (required by ASC 835-30), interest expense equals carrying value × market rate, producing a constant effective rate on the outstanding obligation while the amortization amount varies. The straight-line method allocates equal amortization per period and is acceptable only when materially similar to the effective-interest results. For discount bonds, interest expense exceeds cash paid and increases over time; for premium bonds, interest expense is less than cash paid and decreases over time. These patterns are essential for CPA exam success and connect directly to advanced topics including early extinguishment, convertible bonds, and debt issuance costs.

Varsity Tutors • CPA Financial Accounting & Reporting (FAR) • Bonds Issued At Par, Discount, Premium