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Lesson 4 of 5 11–14% of the exam

Non-current liabilities: bonds at amortized cost and deferred taxes

Loans and bonds are usually carried at amortized cost: the issue proceeds, moved toward face value as any discount or premium is amortized. A deferred tax liability is tax the company expects to pay later because taxable income is currently below accounting profit.

6 min cram, 28 min full read. Based on the 2027 CFA® Program Level I curriculum, Financial Statement Analysis, Learning Module 3. Also part of the 2026 curriculum, so it applies to the November 2026 exam too.

Tailor this to you: take the self-assessment

Before this: Financial instruments: amortized cost, FVOCI and FVPL

On the exam

  • Explain the financial reporting and disclosures related to non-current liabilities

Explain the reporting and disclosures related to non-current liabilities. Expect: the carrying amount of a discount bond, interest expense versus the coupon, and which situation creates a deferred tax liability.

How deeply to learn each part
Know the idea
Understand it in general. It frames other topics, but you will not calculate with it.
Use it
Understand it well enough to solve a question with it. Recognize when it applies.
Memorize
Learn it by heart. The exam will not give it to you.

You know this one. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still do.

You tested strong here. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still know it.

Cram mode: the one-screen version of this lesson. Switch to Full for the explanations, worked examples and interactives.

What is in non-current liabilities?

Everything the company must settle more than a year out, and the main financial items are loans and bonds. Deferred tax liabilities also sit here.

Long-term financial liabilities are borrowings from banks, and notes and bonds issued to investors. Leases and post-employment obligations are also non-current liabilities, taken up in the long-term liabilities and equity module. The notes disclose interest rates, maturities, covenants and fair values.

Common non-current liabilities and how they are reported
Non-current liabilities
  • Loans, notes and bonds payable Memorize usually amortized cost
    • At par face value throughout
    • At a discount carrying amount rises to face; expense above coupon
    • At a premium carrying amount falls to face; expense below coupon
  • At fair value Use it trading liabilities, derivative liabilities, fair value option
  • Deferred tax liabilities Memorize tax payable later on a temporary difference
  • Leases, pensions covered in long-term liabilities and equity

How are bonds payable reported?

Bonds payable are reported at amortized cost : the amount received at issue, adjusted as any discount or premium is amortized, so that the carrying amount equals face value at maturity.

Memorize

A bond issued at par is carried at face value throughout. A bond discount arises when the bond is sold below face value, which happens when the market rate is above the coupon rate. The company records the proceeds, and the carrying amount climbs to face value. A bond premium is the opposite, when the coupon is above the market rate.

The company uses the effective interest method : interest expense each period is the opening carrying amount times the market rate at issue. For a discount bond that is more than the coupon; the extra is not paid in cash, it is added to the carrying amount.

Bond issue price (opening carrying amount) Use it
B0=∑k=1NcF(1+y)k+F(1+y)NB_0 = \sum_{k=1}^{N}\frac{cF}{(1+y)^k} + \frac{F}{(1+y)^N}
Interest expense (effective interest method) Use it
IEt=Bt−1×yIE_t = B_{t-1} \times y
Carrying amount roll-forward Use it
Bt=Bt−1+IEt−cFB_t = B_{t-1} + IE_t - cF

Exam items turn this around: the price, the first-year expense or the carrying amount can be what you solve for.

Rearrange itBond at amortized cost: issue price, interest expense, carrying amount
The question asks for
A company issues 3-year bonds with a face value of 1,000.00 and an annual coupon of 4.00% when the market rate is 6.00%. The amount at which the bonds are first reported is closest to:

PV of 40.00 a year for 3 years plus 1,000.00 at maturity, at 6.00% = 946.54

Issue price (opening carrying amount)946.54

On your calculator
  1. 2NDCLR TVMwith P/Y set to 1
  2. 3N6I/Y40PMT1000FV
  3. CPTPVnegative, the cash an investor pays

2ND second function (the shifted label above a key) · CLR TVM clear the time value of money keys · N number of periods · I/Y interest rate per year (per period when P/Y is 1) · PMT payment · FV future value · CPT compute · PV present value

  1. fCLEAR FIN
  2. 3n6i40PMT1000FV
  3. PVnegative, the cash an investor pays

f gold shift key · CLEAR FIN clear the financial registers · n number of periods · i interest rate per period · PMT payment · FV future value · PV present value

InteractiveA bond at amortized cost: the carrying amount walks to par

Try this 0 of 3

  • Issue the bond at a premium
  • Make interest expense equal the coupon
  • Stretch a discount bond to 10 years
Issue price (carrying amount)946.54
Discount53.46
  • Carrying amount
  • Face value
9409579739901,0060123Year
  • Interest expense
  • Coupon paid
56.840.0Y157.840.0Y258.940.0Y3

Expense is above the 40.00 coupon every year: the discount of 53.46 is added to the carrying amount and expensed over the life.

Show working
YearOpeningExpense (6%)CouponClosing
1946.5456.7940.00963.33
2963.3357.8040.00981.13
3981.1358.8740.001,000.00
Total173.46120.00

Total expense 173.46 = coupons 120.00 + discount 53.46.

Issue price on your calculator
  1. 2NDCLR TVM
  2. 3N6I/Y40PMT1000FV
  3. CPTPV−946.54

2ND second function (the shifted label above a key) · CLR TVM clear the time value of money keys · N number of periods · I/Y interest rate per year (per period when P/Y is 1) · PMT payment · FV future value · CPT compute · PV present value

  1. fCLEAR FIN
  2. 3n6i40PMT1000FV
  3. PV−946.54

f gold shift key · CLEAR FIN clear the financial registers · n number of periods · i interest rate per period · PMT payment · FV future value · PV present value

A bond sold at a discount costs more than its coupon every year until maturity.

A change in the market value of a bond carried at amortized cost does not appear in the statements. The notes show the fair value instead.

A few liabilities are at fair value: those held for trading, derivative liabilities and any liability the company elects to measure that way under the fair value option .

Exam tip Discount, then up. Premium, then down. Always toward face value.

Go deeper Cash flow versus expense on a discount bond

The coupon is the cash interest. The extra interest expense (56.79 − 40 = 16.79 in year 1) is non-cash: it increases the carrying amount, and the full discount of 53.46 is paid at maturity as part of the face value. So cash paid out over the life is the coupons plus the face value, while expense recognized is larger year by year until the discount is used up. Early retirement of debt gives a gain or loss equal to the carrying amount minus the price paid, which is beyond the 2026 outcomes.

What is a deferred tax liability?

A deferred tax liability is tax the company expects to pay in future periods because of a taxable temporary difference. It arises when taxable income, and so tax payable, is lower than accounting profit and the income tax expense based on it.

Memorize

The usual cause is depreciating an asset faster for tax than in the accounts. The deduction arrives earlier for tax, so tax paid today is lower, but the difference reverses and tax catches up.

Deferred tax liability Use it
DTL=taxable temporary difference×tDTL = \text{taxable temporary difference} \times t

Compare the opposite case: cash received from customers before the revenue is earned, and taxed when received, makes taxable income higher now. That is a deferred tax asset (a kind of prepaid tax). The income taxes module covers both in full.

Go deeper Other sources of deferred tax liabilities

Besides faster tax depreciation, a deferred tax liability can arise when a subsidiary’s profits have not been distributed and so are not yet taxed. Fines that are never deductible are permanent differences, which create no deferred tax at all.

Memorize this

MemorizeBond at issue and over its life

Issue priceReported at issueCarrying amount over timeInterest expense vs coupon
ParFace valueStays at face valueEqual
Discount (below par)Proceeds, below faceRises to faceHigher than coupon
Premium (above par)Proceeds, above faceFalls to faceLower than coupon

Memory hook The carrying amount always walks to face value by maturity. Expense = carrying amount × market rate at issue; a discount means the market rate beat the coupon rate, so the expense beats the coupon.

Know it cold Reported at issue = face value × issue price as % of par (12m at 97% = 11.64m).

MemorizeDeferred tax: which way?

SituationTaxable income vs accounting profitResult
Tax depreciation faster than bookLower nowDeferred tax liability
Cash taxed before the revenue is earnedHigher nowDeferred tax asset
A fine that is never tax-deductiblePermanent differenceNeither

Memory hook Liability = tax postponed, to be paid later. Asset = tax paid early, a credit for later.

Know it cold DTL = taxable temporary difference × tax rate.

Common non-current liabilities and how they are reported
Non-current liabilities
  • Loans, notes and bonds payable Memorize usually amortized cost
    • At par face value throughout
    • At a discount carrying amount rises to face; expense above coupon
    • At a premium carrying amount falls to face; expense below coupon
  • At fair value Use it trading liabilities, derivative liabilities, fair value option
  • Deferred tax liabilities Memorize tax payable later on a temporary difference
  • Leases, pensions covered in long-term liabilities and equity
Bond issue price (opening carrying amount) Use it
B0=∑k=1NcF(1+y)k+F(1+y)NB_0 = \sum_{k=1}^{N}\frac{cF}{(1+y)^k} + \frac{F}{(1+y)^N}
Quick example

Face 100, 3% annual coupon, 2 years, market rate 5%. B₀ = 3 ÷ 1.05 + 103 ÷ 1.05² = 96.28.

On your calculator
  1. 2NDCLR TVM with P/Y set to 1
  2. 2N5I/Y3PMT100FV
  3. CPTPV −96.28

2ND second function (the shifted label above a key) · CLR TVM clear the time value of money keys · N number of periods · I/Y interest rate per year (per period when P/Y is 1) · PMT payment · FV future value · CPT compute · PV present value

  1. fCLEAR FIN
  2. 2n5i3PMT100FV
  3. PV −96.28

f gold shift key · CLEAR FIN clear the financial registers · n number of periods · i interest rate per period · PMT payment · FV future value · PV present value

Interest expense (effective interest method) Use it
IEt=Bt−1×yIE_t = B_{t-1} \times y
Quick example

Opening carrying amount 96.28 at a 5% market rate at issue. IE = 96.28 × 5% = 4.81, against a coupon of 3.00.

On your calculator
  1. 96.28×0.05= 4.814
  1. 96.28ENTER0.05× 4.814

ENTER enter (on the HP, puts the number on the stack)

Carrying amount roll-forward Use it
Bt=Bt−1+IEt−cFB_t = B_{t-1} + IE_t - cF
Quick example

Opening 96.28, interest expense 4.81, coupon paid 3.00. Closing = 96.28 + 4.81 − 3.00 = 98.09, drifting toward face value of 100.

On your calculator
  1. 96.28+4.81−3= 98.09
  1. 96.28ENTER4.81+3− 98.09

ENTER enter (on the HP, puts the number on the stack)

Deferred tax liability Use it
DTL=taxable temporary difference×tDTL = \text{taxable temporary difference} \times t
Quick example

Carrying amount of an asset exceeds its tax base by 150 and the tax rate is 25%. DTL = 150 × 0.25 = 37.5.

On your calculator
  1. 150×0.25= 37.5
  1. 150ENTER0.25× 37.5

ENTER enter (on the HP, puts the number on the stack)

How it is asked

  1. Reported amount at issue

    Bonds with face value EUR 12m are issued at 97% of par. Reported at issue?

    12 × 0.97 = EUR 11.64m. Face value (12.00) ignores the discount; 12.36 adds it.

  2. Interest expense versus coupon

    For a bond issued at a discount, how does interest expense compare with the coupon?

    Higher than the coupon. The difference is the discount being amortized.

  3. First-year interest expense

    2-year bond, face 1,000, coupon 3%, market rate 5%. Year-1 interest expense?

    Price 962.81, so 962.81 × 5% = 48.14. The coupon (30.00) and 5% of face (50.00) are the traps.

  4. What creates a DTL?

    Accelerated tax depreciation with straight-line book depreciation: DTL or DTA?

    DTL: taxable income is lower now, tax is paid later. Revenue taxed in advance gives a DTA.

Exam traps

  • Carrying a discount bond at face value. It starts at the proceeds and rises to face value.
  • Setting interest expense equal to the coupon. For a discount or premium bond it is market rate at issue × carrying amount.
  • Thinking fair value changes of amortized-cost debt hit profit. They do not appear in the statements.
  • Mixing up DTL and DTA directions. Lower taxable income now means a liability.

Checkpoint

3 exam-style questions. About 90 seconds each.

  1. 1A company issues bonds with a face value of EUR 8m at 96% of par. At issue, the bonds are reported at:

  2. 2For a bond issued at a discount, interest expense in each period is most likely:

  3. 3A deferred tax liability is most likely created when a company:

Key takeaways

  • Most debt is at amortized cost; fair value only for trading liabilities, derivatives or the fair value option.
  • Discount bond: carrying amount rises to face, and interest expense exceeds the coupon.
  • DTL: tax deferred to the future by a temporary difference, such as faster tax depreciation.
Bond issue price (opening carrying amount) Use it
B0=∑k=1NcF(1+y)k+F(1+y)NB_0 = \sum_{k=1}^{N}\frac{cF}{(1+y)^k} + \frac{F}{(1+y)^N}
Quick example

Face 100, 3% annual coupon, 2 years, market rate 5%. B₀ = 3 ÷ 1.05 + 103 ÷ 1.05² = 96.28.

On your calculator
  1. 2NDCLR TVM with P/Y set to 1
  2. 2N5I/Y3PMT100FV
  3. CPTPV −96.28

2ND second function (the shifted label above a key) · CLR TVM clear the time value of money keys · N number of periods · I/Y interest rate per year (per period when P/Y is 1) · PMT payment · FV future value · CPT compute · PV present value

  1. fCLEAR FIN
  2. 2n5i3PMT100FV
  3. PV −96.28

f gold shift key · CLEAR FIN clear the financial registers · n number of periods · i interest rate per period · PMT payment · FV future value · PV present value

Interest expense (effective interest method) Use it
IEt=Bt−1×yIE_t = B_{t-1} \times y
Quick example

Opening carrying amount 96.28 at a 5% market rate at issue. IE = 96.28 × 5% = 4.81, against a coupon of 3.00.

On your calculator
  1. 96.28×0.05= 4.814
  1. 96.28ENTER0.05× 4.814

ENTER enter (on the HP, puts the number on the stack)

Carrying amount roll-forward Use it
Bt=Bt−1+IEt−cFB_t = B_{t-1} + IE_t - cF
Quick example

Opening 96.28, interest expense 4.81, coupon paid 3.00. Closing = 96.28 + 4.81 − 3.00 = 98.09, drifting toward face value of 100.

On your calculator
  1. 96.28+4.81−3= 98.09
  1. 96.28ENTER4.81+3− 98.09

ENTER enter (on the HP, puts the number on the stack)

Deferred tax liability Use it
DTL=taxable temporary difference×tDTL = \text{taxable temporary difference} \times t
Quick example

Carrying amount of an asset exceeds its tax base by 150 and the tax rate is 25%. DTL = 150 × 0.25 = 37.5.

On your calculator
  1. 150×0.25= 37.5
  1. 150ENTER0.25× 37.5

ENTER enter (on the HP, puts the number on the stack)

All Financial Statement Analysis formulas, every lesson

Practice exam-style questions on Analyzing Balance Sheets

Questions about this lesson?

Where this comes back

Questions candidates ask

How are bonds payable reported on the balance sheet?

At amortized cost: the issue proceeds, adjusted each period as the discount or premium is amortized, reaching face value at maturity. A bond with a face value of CAD 6m issued at 98% of par is first reported at CAD 5.88m.

Why is interest expense higher than the coupon for a discount bond?

Interest expense is the market rate at issue times the carrying amount. The company received less than face value, so over the bond's life it bears the coupon plus the discount, which is amortized into expense and added to the carrying amount.

What causes a deferred tax liability?

A taxable temporary difference: income tax expense on accounting profit exceeds tax payable on taxable income. The classic cause is depreciating an asset faster for tax than in the financial statements. The tax is paid later as the difference reverses.

Spotted an error? Tell us and we will fix it.

  1. Intangible assets: finite vs indefinite lives
  2. Goodwill: how it is measured and tested
  3. Financial instruments: amortized cost, FVOCI and FVPL
  4. Non-current liabilities: bonds at amortized cost and deferred taxes
  5. Common-size balance sheets, liquidity and solvency ratios

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