Bonds Payable & Effective Interest Method — CPA FAR Guide

by Vicky Sarin
CPA FAR · Concept Explainer

Bonds Payable and the Effective Interest Method for the CPA FAR Exam

Bond amortisation is one of the topics FAR reviewers name among the hardest — not because the concept is complex, but because a single wrong rate or wrong direction throws off every period that follows. Here is how the effective interest method works, a full worked amortisation schedule, and the traps that decide the simulation.

By CA Vicky Sarin (ICAI), founder of Eduyush · Last updated 2 July 2026 · Mapped to the AICPA 2026 FAR Blueprint

Area II
Blueprint area
Select Balance Sheet Accounts (30–40%)
ASC 835
Governing standard
Interest — Imputation of Interest
1
Method required
Effective interest, with a narrow exception
2015-03
Key ASU
Debt issuance costs presentation
Quick answer

The effective interest method recognises interest expense each period as the bond's carrying value multiplied by the market rate at issuance, not the stated coupon rate. The difference between effective interest expense and the cash interest paid amortises the discount or premium, moving the carrying value toward face value by maturity. US GAAP requires the effective interest method unless the straight-line result is not materially different.

Key takeaways
  • A bond issues at a discount when the stated rate is below the market rate, and at a premium when the stated rate is above it. At par, the two rates match.
  • Interest expense is carrying value × market rate — not face value × stated rate. Only the cash paid uses the stated rate.
  • Discount bonds show rising interest expense each period; premium bonds show falling interest expense. The direction is a fast sanity check on any amortisation table.
  • Debt issuance costs are no longer a separate asset. Under ASU 2015-03 they are a direct deduction from the carrying amount of the liability, amortised through the effective rate.
  • Bonds connect directly to the statement of cash flows, where interest paid is an operating outflow regardless of the amortisation method used to compute expense.

Why bonds are priced at a discount or premium

A bond's stated (coupon) rate is fixed at issuance and printed on the certificate. The market rate is what investors currently demand for debt of similar risk and maturity. These two rates rarely match on the day the bond is sold, and the gap is what creates a discount or a premium.

Relationship Bond sells at Why
Stated rate < market rate Discount Investors will not pay face value for below-market cash interest — the price falls until yield matches the market
Stated rate = market rate Par (face value) The coupon already delivers the market-required yield
Stated rate > market rate Premium Investors pay extra up front for above-market coupon payments
Note — the issue price is a present value calculation

The issue price is the present value of the face amount plus the present value of the coupon annuity, both discounted at the market rate. The stated rate only determines the size of the coupon payment; it never enters the discounting calculation.

The effective interest method, step by step

1
Compute cash interest paid. Face value × stated rate. This amount never changes over the bond's life — it is fixed at issuance.
2
Compute interest expense. Beginning carrying value × market rate at issuance. This changes every period because the carrying value changes.
3
Find the amortisation amount. Interest expense − cash interest paid. For a discount bond this is positive and increases the carrying value; for a premium bond it is negative and reduces it.
4
Roll the carrying value forward. Beginning carrying value + amortisation = ending carrying value, which becomes next period's beginning balance.
5
Confirm convergence. By the final period, the carrying value equals face value exactly — this is the built-in check that an amortisation schedule is correct.

Worked example: a 5-year discount bond

A company issues bonds with a face value of 100,000, a stated rate of 6% paid annually, and a market rate of 8% at issuance. Because the stated rate is below the market rate, the bond issues at a discount for 92,014. This is the exact shape a FAR simulation takes — issue price given or derivable, then the first two periods of the schedule.

Period Beginning carrying value Interest expense (× 8%) Cash paid (× 6%) Discount amortised Ending carrying value
Year 1 92,014 7,361 6,000 1,361 93,375
Year 2 93,375 7,470 6,000 1,470 94,845
Year 5 (maturity) 6,000 100,000
🔑 Key insight

Notice interest expense rises each period — 7,361, then 7,470 — even though cash paid stays fixed at 6,000. That is the discount bond signature: expense grows toward the cash payment as the discount shrinks and the carrying value climbs toward face value. A premium bond runs the opposite direction. If your schedule shows expense moving the wrong way for the bond type, the market-versus-stated rate has been swapped somewhere upstream.

💡 Study tip

Build every amortisation table left to right in the same five-column order — beginning balance, interest expense, cash paid, amortisation, ending balance — even under exam pressure. The ending balance of one row is always the beginning balance of the next. Skipping straight to "the answer" is where candidates lose the thread on multi-period simulations.

Debt issuance costs: the ASC 835 trap

Legal, underwriting and registration fees incurred to issue a bond used to be capitalised as a separate deferred asset and amortised on its own schedule. ASU 2015-03 changed this: debt issuance costs are now presented as a direct deduction from the carrying amount of the bond liability — the same treatment as a discount — and are amortised through the effective interest rate together with any discount or premium.

Important

Materials written before ASU 2015-03 (effective for fiscal years beginning after 15 December 2015) will show issuance costs as a deferred asset. That presentation is wrong under the current standard. On FAR, issuance costs reduce the bond's carrying value on day one and are folded into the same effective interest calculation as the discount — never amortised on a separate straight-line schedule.

The bond accounting trap table

These are the errors that decide a bonds payable simulation. Bookmark this table.

Trap Wrong instinct Correct treatment
Interest expense uses the stated rate Face value × stated rate Beginning carrying value × market rate at issuance
Straight-line applied by default Divide discount evenly by number of periods Effective interest required unless the difference from straight-line is immaterial
Issuance costs treated as an asset Capitalise as deferred financing costs Deduct directly from the bond's carrying amount (ASU 2015-03)
Discount bond expense assumed flat Same interest expense every period Expense rises each period as carrying value grows toward face value
Market rate reused after issuance Recalculate expense using today's market rate The rate at issuance is locked for the life of the bond, absent a modification or extinguishment
Gain/loss on early retirement ignored Assume retirement at carrying value with no gain or loss Compare reacquisition price to carrying value at the retirement date; the difference is a gain or loss in income

Bonds and debt covenants

FAR's Area II also tests debt covenant compliance alongside the amortisation mechanics — lenders frequently attach financial ratio covenants (debt-to-equity, interest coverage) to bond agreements, and a violation can trigger reclassification of long-term debt to current if the lender has the right to demand immediate repayment. This is a balance sheet classification question that sits directly downstream of the same carrying value you compute in the amortisation schedule above.

🎯 Exam pattern

A common FAR variant combines the amortisation schedule with a classification question: "given the carrying value at year-end, is the debt current or long-term?" Get the carrying value right using the five-column method above, then apply the covenant facts — the two parts of the question depend on each other in sequence.

How Indian candidates should approach this topic

CA and ACCA candidates already know present value and effective interest mechanics from financial instruments coursework — the calculation logic transfers directly. The adjustment is narrower than it looks: US GAAP's mandatory effective interest method (versus IFRS, which also requires effective interest but candidates sometimes confuse with amortised cost terminology) and the ASC 835 issuance-cost presentation are the two places precision matters most on FAR.

🤖 Study workflow

Surgent's simulation bank drills the amortisation schedule as a five-column build, not a plug-in formula — matching the exact task-based simulation format the AICPA uses for bonds, and pairing it with the debt covenant classification question that often follows. Its ReadySCORE flags whether bond amortisation is a genuine strength before exam day. See the platform in our Surgent CPA Review India guide, or start with the Surgent CPA course.

The bottom line

Bond amortisation is arithmetic wrapped around one idea: interest expense follows the carrying value and the market rate, cash follows the coupon and the stated rate, and the gap between them amortises the discount or premium until the two converge at face value. Fix the five-column structure and the topic stops being a memory exercise.

Frequently asked questions

Why do bonds sell at a discount or premium?
Because the stated (coupon) rate fixed at issuance rarely equals the market rate investors currently demand. A stated rate below the market rate produces a discount; a stated rate above it produces a premium. At par, the two rates are equal.
What is the difference between the stated rate and the effective rate?
The stated rate determines the fixed cash interest payment (face value × stated rate). The effective, or market, rate at issuance determines interest expense each period (carrying value × market rate). Only at par-value issuance are the two rates equal, and even then interest expense equals cash paid every period.
Why does interest expense change every period under the effective interest method?
Because interest expense is calculated on the carrying value, which itself changes each period as the discount or premium amortises. Cash interest paid stays fixed, but expense converges toward it — rising for discount bonds, falling for premium bonds — as the carrying value moves toward face value.
Are debt issuance costs an asset?
No. Under ASU 2015-03, debt issuance costs are presented as a direct deduction from the carrying amount of the bond liability, the same as a discount, and amortised through the effective interest rate. They are not a separate deferred asset.
Can a company use straight-line amortisation for bonds?
US GAAP requires the effective interest method as the general rule. Straight-line is permitted only when the results do not differ materially from the effective interest method — it is the exception, not a free choice.
How is a gain or loss on early bond retirement calculated?
Compare the cash (or other consideration) paid to reacquire the bond against its carrying value on that date. If the reacquisition price is less than the carrying value, the difference is a gain; if more, it is a loss. Both are recognised in income at the retirement date.
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