CFA Level 1 · Module 04 Financial Statement Analysis · Chapter 8

Topics in Long-Term Liabilities and Equity

MidhaFin32 min readUpdated August 2026

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Learning Objectives

  1. Explain the initial and subsequent measurement of bonds payable, including issuance at par, at a premium, and at a discount, and demonstrate the effective-interest method by which the bond is carried at amortized cost and interest expense is recognized.
  2. Explain how a lessee accounts for a lease by recognizing a right-of-use asset and a lease liability, measure the lease liability as the present value of the lease payments, and contrast the finance-lease expense pattern (interest plus amortization, front-loaded) with the single straight-line expense of an operating lease.
  3. Explain how a lessor classifies and reports a lease as a finance lease (sales-type or direct-financing) or as an operating lease, and describe the effect of each on the balance sheet and income statement.
  4. Distinguish defined-contribution from defined-benefit post-employment plans, explain that the funded status (plan assets minus the defined-benefit obligation) is reported on the balance sheet, and describe the components of periodic pension cost and the analyst implications.
  5. Explain the accounting for share-based compensation, including stock options and restricted stock units expensed over the vesting period at grant-date fair value, and describe the dilution, cash-flow, and disclosure implications.
  6. Describe the presentation and disclosures relating to long-term liabilities and share-based compensation, and explain how bringing leases onto the balance sheet affects leverage and solvency ratios.

This reading gathers the long-lived promises a company makes and the way it pays its people, and it shows how each one lands on the financial statements. Some of these obligations are obvious debts, such as a bond the company has issued. Others were, for many years, kept off the balance sheet entirely, such as most leases, until the standards changed to bring them into plain view. Still others, such as pensions and stock-based pay, are real economic costs that do not move as cash in the year they are earned, so they can be easy to overlook. The thread that ties the topics together is that each represents a claim on the company that an analyst must find, size, and read correctly before judging how much the company truly owes and how much it truly earns.

The order below builds from the most concrete to the most subtle. First a short primer on bonds payable, because a bond is the cleanest example of carrying a long-term liability at amortized cost, and the same present-value machinery reappears in leases. Second, leases from the lessee side, which is the core learning objective: a lessee now recognizes a right-of-use asset and a lease liability for essentially every lease, and the old finance-versus-operating split survives only in the income-statement pattern. Third, leases from the lessor side, where the classification decides whether the asset stays on the books or is replaced by a receivable. Fourth, post-employment benefits, where the difference between a defined-contribution and a defined-benefit plan changes what appears on the balance sheet. Fifth, share-based compensation, a non-cash expense that dilutes shareholders. The reading closes on presentation, disclosure, and the leverage effect of putting leases on the balance sheet. Every company and every number below is invented by MidhaFin to teach the mechanics; none is taken from the source curriculum or any prep provider. Concepts, definitions, and formulas are shared knowledge and are used freely.

Key Takeaways

  • A bond is carried at amortized cost using the effective-interest method: interest expense equals the carrying value multiplied by the market yield at issuance, the coupon is the cash paid, and the difference amortizes the premium or discount so the carrying value moves toward face value by maturity.
  • A bond issued at par has a coupon equal to the market yield; a premium bond has a coupon above the yield and a carrying value that falls toward par; a discount bond has a coupon below the yield and a carrying value that rises toward par.
  • A lessee recognizes a right-of-use asset and a lease liability for essentially all leases, and the lease liability is the present value of the lease payments discounted at the rate implicit in the lease or the lessee incremental borrowing rate.
  • A finance lease produces interest expense plus amortization, so total expense is front-loaded and higher in the early years; an operating lease produces a single straight-line lease cost. Total expense over the whole lease life is identical under both; only the timing differs.
  • A lessor classifies a lease as a finance lease (sales-type or direct-financing) or an operating lease. A finance lessor derecognizes the asset and books a lease receivable and interest income; an operating lessor keeps the asset, depreciates it, and recognizes lease income.
  • A defined-contribution plan expenses the contribution and leaves no ongoing balance-sheet obligation; a defined-benefit plan reports its funded status, plan assets minus the defined-benefit obligation, on the balance sheet, and its periodic cost has service, interest, and return components.
  • Share-based compensation is expensed over the vesting period at grant-date fair value; it is a non-cash expense that dilutes existing shareholders as options and restricted stock units convert to shares.
  • Bringing leases onto the balance sheet raises reported assets and liabilities, which increases the debt-to-equity and debt-to-assets ratios and lowers measured solvency, so leverage comparisons must account for lease capitalization.

A Quick Primer on Bonds Payable

Before leases, it helps to see the cleanest long-term liability in isolation: a bond the company has issued. A bond is a promise to pay a fixed coupon each period and to repay the face value (also called par) at maturity. The price an investor pays at issuance is simply the present value of those promised cash flows discounted at the market yield the market demands for that risk on the issue date. That price becomes the initial carrying value of the liability on the issuer balance sheet.

Three cases follow from comparing the coupon rate with the market yield. If the coupon rate equals the market yield, the bond is issued at par, and the carrying value stays at face value the whole way. If the coupon rate is above the market yield, investors will pay more than face for the richer coupon, so the bond is issued at a premium, and the carrying value declines toward par over the life of the bond. If the coupon rate is below the market yield, investors will pay less than face, so the bond is issued at a discount, and the carrying value rises toward par. In every case the carrying value converges on face value by maturity.

Interest expense = Carrying value at start of period × Market yield at issuance

where the coupon paid in cash is face value multiplied by the coupon rate, and the difference between interest expense and the coupon is the amortization of the premium or discount. For a premium bond, interest expense is below the coupon, so the carrying value falls; for a discount bond, interest expense is above the coupon, so the carrying value rises. This is the effective-interest method, and it carries the bond at amortized cost.

The key idea is that the market yield is fixed at issuance and drives the interest expense every year, while the coupon is the fixed cash payment. The coupon rarely equals the true economic interest cost, and the gap between the two is exactly what amortizes the bond toward par. A worked example makes the mechanics concrete.

Worked Example 1

Setup. Amberline Freight, an invented company, issues a three-year bond with a face value of 100,000 and an annual coupon rate of 8 percent, so it pays 8,000 in cash each year. On the issue date the market yield for a bond of this risk is 6 percent. Compute the issue price, confirm it is a premium, and build the first year of the amortization schedule under the effective-interest method.

  1. Present-value factors at 6 percent. The three-year annuity factor is (1 − 1.06 −3) ÷ 0.06 = 2.673012, and the three-year single-sum factor is 1.06 −3 = 0.839619.
  2. Issue price. Present value of the coupons = 8,000 × 2.673012 = 21,384.10. Present value of the face repayment = 100,000 × 0.839619 = 83,961.93. Issue price = 21,384.10 + 83,961.93 = 105,346.03, a premium of 5,346 over face.
  3. Year 1 interest expense. Carrying value at start × market yield = 105,346.03 × 0.06 = 6,320.76.
  4. Year 1 premium amortization. Coupon minus interest expense = 8,000 − 6,320.76 = 1,679.24. Carrying value at year end = 105,346.03 − 1,679.24 = 103,666.79.

Answer: the bond is issued at 105,346 (a premium of 5,346), year 1 interest expense is 6,320.76, and the carrying value falls to 103,666.79. So what does this number mean? Amberline pays 8,000 in cash but reports only 6,320.76 as interest expense, because part of each coupon is really returning the premium the investors paid up front. That is why the liability shrinks each year; carried forward, the same method drives the carrying value from 105,346 down to exactly 100,000 at maturity, at which point the premium is fully amortized and the face value is repaid.

Key Insight

Interest expense under the effective-interest method is a percentage of a moving balance, not a fixed number. For a premium bond the balance falls each year, so interest expense falls each year; for a discount bond the balance rises, so interest expense rises. The coupon, by contrast, never changes. Whenever you see reported interest expense that differs from the cash coupon, a premium or discount is being amortized, and the direction of the gap tells you which.

This same present-value logic, discounting a stream of fixed future payments at a market rate to get a liability today, is exactly how a lessee now measures a lease. Bonds are simply the version where the cash flows are labeled coupon and face rather than lease payment.

Leases from the Lessee Side

A lease is a contract that gives one party, the lessee, the right to use an asset owned by another party, the lessor, in exchange for periodic payments. For decades, lessees split leases into two buckets: a finance (or capital) lease, which was treated as if the lessee had borrowed to buy the asset and so appeared on the balance sheet, and an operating lease, which was treated as a simple rental and kept off the balance sheet with only the rent expense showing. That off-balance-sheet treatment let companies control large fleets of assets with no visible debt, which distorted leverage.

Under current standards the lessee model has changed decisively. A lessee now recognizes, for essentially all leases, a right-of-use asset representing its right to use the underlying asset and a lease liability representing its obligation to make the lease payments. The lease liability is measured as the present value of the lease payments, discounted at the rate implicit in the lease, or, if that rate cannot be determined, at the lessee incremental borrowing rate. The right-of-use asset starts at essentially the same amount as the liability.

Lease liability = Present value of the lease payments, discounted at the rate implicit in the lease

where the right-of-use asset is initially recorded at broadly the same amount (adjusted for any prepayments, initial direct costs, or incentives). After initial recognition, the lease liability accrues interest at the discount rate and is reduced by the payments, exactly like a bond, while the right-of-use asset is amortized, usually straight-line, over the lease term.

The income-statement treatment is where the old distinction survives. Although both lease types now sit on the balance sheet, they unwind through profit differently. A finance lease recognizes two separate expenses: interest on the lease liability, which is high early and falls as the liability shrinks, plus amortization of the right-of-use asset, which is usually straight-line. Because interest is front-loaded, the total finance-lease expense is higher in the early years and lower later. An operating lease, by contrast, recognizes a single straight-line lease cost each period, a flat expense across the term. Over the entire life of the lease the total expense is identical under both models; only the timing differs.

Worked Example 2

Setup. Northwind Logistics, an invented company, signs a four-year lease on a sorting machine with payments of 10,000 due at the end of each year. The rate implicit in the lease is 8 percent. Compute the initial lease liability and right-of-use asset, then the first-year interest and amortization if this is a finance lease.

  1. Discount factor. The four-year annuity factor at 8 percent is (1 − 1.08 −4) ÷ 0.08 = 3.312127.
  2. Lease liability. Present value of the payments = 10,000 × 3.312127 = 33,121.27. The right-of-use asset is recorded at the same 33,121.27.
  3. Year 1 interest on the liability. 33,121.27 × 0.08 = 2,649.70. The principal reduction is the payment minus the interest = 10,000 − 2,649.70 = 7,350.30, so the liability falls to 25,770.97.
  4. Year 1 amortization of the asset. Straight-line over four years = 33,121.27 ÷ 4 = 8,280.32.
  5. Total finance-lease expense, year 1. Interest 2,649.70 + amortization 8,280.32 = 10,930.02.

Answer: the lease liability and right-of-use asset both start at 33,121.27, and in year 1 a finance lease reports 2,649.70 of interest plus 8,280.32 of amortization, a total of 10,930.02. So what does this number mean? Even though Northwind pays only 10,000 in cash, the finance lease charges 10,930 to profit in year 1, more than the cash outflow, because interest is heaviest when the liability is largest. An operating lease on the identical contract would instead report a flat 10,000 each year (the total payments of 40,000 spread evenly over four years). The finance lease is front-loaded; the operating lease is level.

Exhibit 1. Northwind Logistics, Finance versus Operating Lease Expense by Year
YearFinance: interestFinance: amortizationFinance: totalOperating: single cost
12,649.708,280.3210,930.0210,000.00
22,061.688,280.3210,342.0010,000.00
31,426.618,280.329,706.9310,000.00
4740.748,280.319,021.0510,000.00
Total6,878.7333,121.2740,000.0040,000.00

Read the last row first: both models expense a total of 40,000 over the four years, which is simply the sum of the cash payments. The finance lease loads more of it into the early years (10,930 in year 1 falling to 9,021 in year 4), while the operating lease is a flat 10,000. This front-loading is the single most tested difference between the two, and it means a company with a young, growing lease portfolio reports higher expense and lower early profit under finance treatment than under operating treatment, even though nothing about the cash has changed.

On the Exam

For the lessee, memorize two facts and you can rebuild the rest. First, both lease types now put a right-of-use asset and a lease liability on the balance sheet, measured at the present value of the payments. Second, only the income statement differs: a finance lease shows interest plus amortization and is front-loaded, while an operating lease shows one straight-line cost. If asked which reports higher expense in year 1, the answer is the finance lease; if asked about total expense over the full term, the answer is that they are equal.

Common Mistake

Do not say an operating lease is off the balance sheet under current lessee accounting. That was true under the old rules and is still true in casual conversation, but under current standards a lessee recognizes a right-of-use asset and a lease liability for an operating lease as well. What stays different is only the pattern of expense on the income statement (a single straight-line cost for an operating lease versus interest plus amortization for a finance lease), not whether the lease appears on the balance sheet.

Leases from the Lessor Side

The lessor is the party that owns the asset and grants the right to use it. Lessor accounting kept the two-way classification, and the classification decides whether the asset stays on the lessor books or is effectively sold. A lessor classifies a lease as a finance lease when the arrangement transfers substantially all the risks and rewards of ownership to the lessee (for instance, ownership transfers at the end, or the lease term covers most of the asset useful life, or the present value of the payments is substantially all of the asset fair value). Otherwise it is an operating lease.

A lessor finance lease comes in two flavors. A sales-type lease arises when the fair value of the asset differs from its carrying amount, so the lessor (typically a manufacturer or dealer) recognizes a profit on the sale at inception in addition to interest income over the term. A direct-financing lease arises when there is no such selling profit, so the lessor (typically a financial institution) earns only interest income over the term. In both, the mechanics on the balance sheet are the same: the lessor derecognizes the leased asset and instead records a lease receivable equal to the present value of the lease payments, then recognizes interest income on that receivable over time.

An operating lease is the opposite. The lessor keeps the asset on its balance sheet and continues to depreciate it, and it recognizes lease income (usually straight-line) as the payments are earned. No receivable replaces the asset because the lessor has not, in substance, sold anything; it has merely rented out something it still owns.

Worked Example 3

Setup. Keystone Leasing, an invented finance company, leases equipment to a customer under a direct-financing lease with the same terms as Worked Example 2: four annual year-end payments of 10,000 and an implicit rate of 8 percent. Show what Keystone records at inception and the interest income it recognizes in year 1.

  1. Derecognize the asset, record the receivable. The lease receivable is the present value of the payments = 10,000 × 3.312127 = 33,121.27. The equipment leaves Keystone balance sheet and this receivable takes its place.
  2. Year 1 interest income. Receivable at start × implicit rate = 33,121.27 × 0.08 = 2,649.70.
  3. Reduce the receivable. The 10,000 payment covers the 2,649.70 of interest income and reduces the receivable by 7,350.30, leaving 25,770.97.

Answer: Keystone removes the equipment, books a lease receivable of 33,121.27, and recognizes interest income of 2,649.70 in year 1. So what does this number mean? To the lessor, a direct-financing lease is economically a loan: it hands over the equipment and collects the money back with interest, so it reports interest income (not rental income) and no depreciation. Notice the symmetry with the lessee in Worked Example 2, whose interest expense was the identical 2,649.70; one party interest expense is the other party interest income on the same present-value schedule.

Exhibit 2. How a Lessor Reports Each Lease Type
ItemFinance lease (sales-type or direct-financing)Operating lease
Leased assetDerecognized (removed from the balance sheet)Kept on the balance sheet
New balance-sheet itemLease receivable at present value of paymentsNone; the asset stays
Income recognizedInterest income (plus selling profit at inception for a sales-type lease)Lease income, usually straight-line
DepreciationNone; the lessor no longer owns the asset in substanceYes; the lessor depreciates the retained asset
Key Insight

The lessee and lessor sides are not mirror images by name, but they are linked by the same cash flows. A single lease can be a finance lease to the lessor and, on the income statement, run as either finance or operating for the lessee depending on its own classification. What always ties them is the present value of the payments and the discount rate: that number is the lessee liability, the lessor receivable, and the base on which both interest expense and interest income are struck.

Post-Employment Benefits

Post-employment benefits are amounts a company promises to pay employees after they retire, most commonly pensions. There are two structures, and they land on the financial statements very differently, so the first analytical step is always to identify which one a company runs.

In a defined-contribution plan, the employer promises only to pay a defined amount into the plan, often a percentage of salary, and the employee bears all the investment risk of what that pot eventually grows to. The accounting is simple: the pension expense equals the contribution the employer agreed to make for the period, and once the contribution is paid there is no ongoing obligation on the balance sheet. The employer has discharged its promise by writing the check.

In a defined-benefit plan, the employer promises a defined future benefit, typically based on final salary and years of service, and the employer bears the investment and actuarial risk of making good on that promise. This creates a long-term obligation, the defined-benefit obligation (the present value of the benefits earned to date), set against the plan assets the employer has set aside and invested to fund it. The difference is the funded status, and it is reported on the balance sheet as a net asset or, more commonly, a net liability.

Funded status = Plan assets − Defined-benefit obligation

where a positive funded status means the plan is overfunded and a net asset is reported, and a negative funded status means the plan is underfunded and a net liability is reported. The periodic pension cost that flows through comprehensive income broadly reflects the service cost (the value of benefits employees earned this period), the interest on the obligation, and the return on plan assets, along with the effects of any changes in actuarial assumptions.

Worked Example 4

Setup. Glenmore Manufacturing, an invented company, runs a defined-benefit pension plan. At year end its plan assets are worth 8,400,000 and its defined-benefit obligation is 9,600,000. Determine the funded status and how it is reported. Compare with its subsidiary, Glenmore Retail, which offers only a defined-contribution plan and paid agreed contributions of 300,000 during the year.

  1. Funded status of the defined-benefit plan. Plan assets minus obligation = 8,400,000 − 9,600,000 = −1,200,000.
  2. Balance-sheet reporting. Because the figure is negative, the plan is underfunded by 1,200,000, and Glenmore Manufacturing reports a net pension liability of 1,200,000.
  3. The defined-contribution subsidiary. Glenmore Retail simply expenses its 300,000 contribution for the year. It reports no pension asset or liability once the contribution is paid, because its only promise was to contribute.

Answer: the defined-benefit plan is underfunded by 1,200,000, reported as a net pension liability, while the defined-contribution plan shows only a 300,000 expense and no balance-sheet obligation. So what does this number mean? Glenmore Manufacturing owes its retirees 1,200,000 more than it has set aside, and that shortfall is a real claim on the firm that behaves much like debt; an analyst often adds it to reported borrowings when gauging leverage. The retail subsidiary, by contrast, carries no such risk, because it transferred the investment risk to its employees the moment it chose a defined-contribution design.

Exhibit 3. Defined-Contribution versus Defined-Benefit Plans
FeatureDefined-contribution planDefined-benefit plan
Employer promiseA set contribution each periodA set future benefit at retirement
Who bears investment riskThe employeeThe employer
Income-statement expenseThe contribution for the periodPeriodic cost: service, interest, and return components
Balance-sheet obligationNone once the contribution is paidFunded status: plan assets minus the obligation
Key Insight

For analysis, a net defined-benefit liability is close cousin to debt. It is a promised future outflow the company cannot easily walk away from, so many analysts add the underfunded amount to interest-bearing debt when computing leverage, and they watch the discount-rate and return assumptions closely, because small changes in those assumptions can swing the reported obligation and pension cost by large amounts. A defined-contribution plan carries none of this analytical baggage; its cost is simply the cash contributed.

Share-Based Compensation

Share-based compensation pays employees with equity instead of, or alongside, cash. The two most common forms are stock options, which give the employee the right to buy shares at a fixed exercise price in the future, and restricted stock units, which are promises to deliver actual shares once conditions are met. The point of both is to align employees with shareholders, and the accounting aim is to record the cost of that reward even though little or no cash changes hands.

The rule is that share-based compensation is measured at the grant-date fair value of the award and expensed over the vesting period, the period the employee must keep working to earn the award. For options, the grant-date fair value is estimated with an option-pricing model; for restricted stock units, it is essentially the share price at grant. The total fair value is spread across the vesting years as compensation expense, reducing net income each year even though the company pays no cash for it.

Annual compensation expense = (Grant-date fair value per unit × Number of units) ÷ Vesting period in years

where the numerator is the total grant-date fair value of the award, spread straight-line across the vesting period. The expense is a non-cash charge, so it is added back to net income in the operating section of the cash flow statement under the indirect method, and the eventual issuance of shares dilutes existing shareholders.

Worked Example 5

Setup. Larkspur Software, an invented company, grants 10,000 stock options to its engineers. Each option has a grant-date fair value of 6, estimated with an option-pricing model, and the options vest evenly over three years of continued service. Compute the annual and total compensation expense, and describe the cash-flow and dilution effects.

  1. Total grant-date fair value. 10,000 options × 6 per option = 60,000.
  2. Annual compensation expense. Spread over the three-year vesting period = 60,000 ÷ 3 = 20,000 per year.
  3. Over the vesting period. Larkspur records 20,000 of compensation expense in each of years 1, 2, and 3, totaling 60,000, with no cash outflow for the grant itself.

Answer: Larkspur expenses 20,000 per year for three years, 60,000 in total, entirely non-cash. So what does this number mean? Reported net income is 20,000 lower each year, yet no cash left the business, so on the cash flow statement this 20,000 is added back to net income under the indirect method, and operating cash flow is unaffected. The real cost lands on existing shareholders later: when the engineers exercise the options and receive shares, the share count rises and each existing owner holds a smaller slice, which is the dilution that share-based pay creates.

Common Mistake

Do not treat share-based compensation as free because it uses no cash. It is a genuine expense that reduces net income and, more importantly, transfers value to employees at the expense of existing shareholders through dilution. A company that leans heavily on options can flatter its cash flow (the expense is added back) while quietly enlarging its share count year after year. An analyst should read the share-based compensation note, track the growth in diluted share count, and treat the expense as real when judging profitability.

Presentation, Disclosures, and Solvency

Long-term liabilities appear on the balance sheet split between a current portion (amounts due within a year, such as the next twelve months of a lease liability or the current maturity of a bond) and a non-current portion. The face of the statement shows only totals; the notes carry what an analyst actually needs. For long-term debt and leases, disclosures typically include the interest rates and maturities, the carrying amounts, a maturity schedule of future lease payments, and the split between finance and operating leases. For share-based compensation, the notes disclose the number of awards granted, the assumptions used to value them, the expense recognized, and the effect on diluted shares outstanding. For defined-benefit pensions, the notes reconcile the obligation and plan assets and disclose the key actuarial assumptions.

The most important reason to read these notes is solvency analysis. When leases moved onto the balance sheet, companies that previously kept large operating-lease commitments off the books suddenly reported higher assets and higher liabilities. That change does not touch the underlying economics, but it does move every leverage ratio: adding a lease liability raises total liabilities and total debt, and adding the right-of-use asset raises total assets. The debt-to-equity and debt-to-assets ratios both rise, so the firm looks more leveraged, even though it owes exactly what it always did.

Debt-to-equity = Total debt ÷ Total equity    Debt-to-assets = Total debt ÷ Total assets

where bringing a lease onto the balance sheet increases total debt (and total assets) by the present value of the remaining lease payments, which raises debt-to-equity and debt-to-assets. Because equity is unchanged by the capitalization itself, debt-to-equity is the more sensitive of the two.

Worked Example 6

Setup. Return to Northwind Logistics from Worked Example 2. Before recognizing the lease, it reports total debt of 200,000, total equity of 250,000, and total assets of 550,000. Now bring the lease onto the balance sheet: add the lease liability of 33,121 to debt and the right-of-use asset of 33,121 to assets. Compute debt-to-equity and debt-to-assets before and after.

  1. Before capitalization. Debt-to-equity = 200,000 ÷ 250,000 = 0.80. Debt-to-assets = 200,000 ÷ 550,000 = 0.364.
  2. After capitalization. Debt becomes 200,000 + 33,121 = 233,121; assets become 550,000 + 33,121 = 583,121; equity is unchanged at 250,000.
  3. Ratios after. Debt-to-equity = 233,121 ÷ 250,000 = 0.932. Debt-to-assets = 233,121 ÷ 583,121 = 0.400.

Answer: capitalizing the lease lifts debt-to-equity from 0.80 to 0.93 and debt-to-assets from 0.364 to 0.400. So what does this number mean? Northwind is no more indebted in economic terms than it was a moment earlier, yet on paper it now looks markedly more leveraged, purely because a liability that once hid in the lease footnote is now on the face of the balance sheet. This is why comparing a company that leases heavily with one that borrows to buy is only fair once leases are on the balance sheet for both; the current standards force exactly that comparability, and an analyst studying older statements has to add the lease commitments back by hand.

Exhibit 4. Effect of Capitalizing a Lease on Northwind Logistics
MeasureBeforeAfterDirection
Total debt200,000233,121Higher
Total assets550,000583,121Higher
Total equity250,000250,000Unchanged
Debt-to-equity0.800.93Higher
Debt-to-assets0.3640.400Higher
On the Exam

When a question capitalizes a lease and asks about leverage, the fast answer is that debt-to-equity and debt-to-assets both rise. Equity does not change from the capitalization itself, so debt-to-equity moves more sharply than debt-to-assets (the latter grows on both the top and the bottom). The same instinct applies to a net defined-benefit pension liability: add it to debt and leverage rises. The theme across the whole reading is that obligations which once sat in footnotes belong in the leverage numbers.

Check Yourself

A bond is issued at a discount. Under the effective-interest method, is the annual interest expense above or below the cash coupon, and which way does the carrying value move over time?

Show answer

For a discount bond the market yield exceeds the coupon rate, so interest expense (carrying value times market yield) is above the cash coupon. The excess of interest expense over the coupon amortizes the discount, so the carrying value rises each year toward face value, reaching par at maturity. A premium bond does the reverse: interest expense is below the coupon and the carrying value falls toward par.

Check Yourself

A lessee signs a lease with three year-end payments of 20,000 and an implicit rate of 10 percent. The three-year annuity factor at 10 percent is 2.486852. What lease liability does the lessee record, and what is the first-year interest on it?

Show answer

Lease liability = present value of the payments = 20,000 × 2.486852 = 49,737.04. First-year interest = 49,737.04 × 0.10 = 4,973.70. The right-of-use asset is recorded at the same 49,737.04 and is then amortized over the lease term, while the liability accrues interest and is reduced by each payment.

Check Yourself

In year 1 of a lease, why does a finance lease report a higher total expense than an operating lease on the identical contract, even though the total expense over the whole term is the same?

Show answer

A finance lease reports interest on the lease liability plus straight-line amortization of the right-of-use asset. Interest is largest in year 1 because the liability is largest, so the combined expense exceeds the flat single cost of an operating lease early on. As the liability shrinks, finance-lease interest falls, and in the later years the finance-lease expense drops below the operating cost. The two totals are equal over the full term because both simply sum to the total cash payments; only the timing differs.

Check Yourself

How does a lessor account for a finance (direct-financing) lease on its balance sheet and income statement?

Show answer

The lessor derecognizes the leased asset and records a lease receivable equal to the present value of the lease payments. Over the term it recognizes interest income on that receivable, and each payment received reduces the receivable. There is no depreciation, because in substance the lessor has financed a purchase rather than rented an asset it still owns. A sales-type lease adds selling profit recognized at inception; a direct-financing lease has no such profit.

Check Yourself

A defined-benefit plan has plan assets of 5,000,000 and a defined-benefit obligation of 5,600,000. What is the funded status, and how is it reported?

Show answer

Funded status = plan assets minus the obligation = 5,000,000 − 5,600,000 = −600,000. Because it is negative, the plan is underfunded by 600,000, reported on the balance sheet as a net pension liability. A defined-contribution plan, by contrast, would report no such balance-sheet obligation; its expense is simply the contribution made for the period.

Check Yourself

A company grants restricted stock units with a total grant-date fair value of 90,000, vesting evenly over three years. What compensation expense is recorded each year, and what is the cash-flow effect?

Show answer

Annual compensation expense = 90,000 ÷ 3 = 30,000 in each of the three vesting years. The expense reduces net income but uses no cash, so under the indirect method it is added back to net income in the operating section of the cash flow statement, leaving operating cash flow unchanged. The eventual delivery of shares dilutes existing shareholders.

Check Yourself

A firm capitalizes an operating lease, adding a lease liability and an equal right-of-use asset of 40,000. Its debt was 300,000, equity 400,000, and assets 700,000. What happens to debt-to-equity?

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Debt rises to 340,000 while equity is unchanged at 400,000, so debt-to-equity moves from 300,000 ÷ 400,000 = 0.75 to 340,000 ÷ 400,000 = 0.85. The firm looks more leveraged even though its economic obligations have not changed. Debt-to-assets also rises, from 0.429 to 0.459, but less sharply because both the numerator and the denominator grow.

Chapter Summary

  • A bond is initially recorded at its issue price, the present value of the coupons and face value at the market yield, and is then carried at amortized cost using the effective-interest method, under which interest expense equals the carrying value times the market yield at issuance.
  • A par bond has a coupon equal to the yield; a premium bond has a coupon above the yield and a carrying value that falls toward par; a discount bond has a coupon below the yield and a carrying value that rises toward par.
  • A lessee recognizes a right-of-use asset and a lease liability for essentially all leases, with the liability measured as the present value of the lease payments at the implicit or incremental borrowing rate.
  • A finance lease reports interest on the liability plus amortization of the asset and is front-loaded; an operating lease reports a single straight-line cost. Total expense over the full lease term is identical; only the timing differs.
  • A lessor classifies a lease as a finance lease (sales-type or direct-financing) or an operating lease. A finance lessor derecognizes the asset, books a lease receivable, and recognizes interest income; an operating lessor keeps and depreciates the asset and recognizes lease income.
  • A defined-contribution plan expenses the contribution and leaves no balance-sheet obligation; a defined-benefit plan reports its funded status (plan assets minus the defined-benefit obligation) on the balance sheet, with periodic cost split into service, interest, and return components.
  • An underfunded defined-benefit plan behaves like debt and is often added to borrowings for leverage analysis, and its reported obligation is sensitive to the discount-rate and return assumptions.
  • Share-based compensation is measured at grant-date fair value and expensed straight-line over the vesting period; it is a non-cash expense added back on the cash flow statement, and it dilutes existing shareholders as options and restricted stock units convert to shares.
  • Notes disclose interest rates, maturities, lease schedules, pension assumptions, and share-based award terms; reading them is essential because the face of the balance sheet shows only totals.
  • Bringing leases onto the balance sheet raises total debt and total assets, so debt-to-equity and debt-to-assets both rise; the same treatment applies to a net pension liability, which is why footnote obligations belong in leverage measures.

Frequently Asked Questions

What does it mean to carry a bond at amortized cost?

Carrying a bond at amortized cost means the liability on the balance sheet is not fixed at face value but starts at the issue price and moves toward face value over the life of the bond. Each period the issuer computes interest expense as the carrying value multiplied by the market yield set at issuance, and the difference between that interest expense and the fixed cash coupon amortizes the premium or discount. For a bond issued at a premium the carrying value falls toward par; for a bond issued at a discount it rises toward par; and by maturity the carrying value equals the face value that is repaid. This effective-interest method is why reported interest expense often differs from the cash coupon.

Does an operating lease still stay off the balance sheet?

Not for the lessee under current standards. A lessee now recognizes a right-of-use asset and a lease liability for essentially all leases, including operating leases, so both types appear on the balance sheet at the present value of the lease payments. What remains different is only the income-statement pattern: a finance lease reports interest on the liability plus amortization of the asset and is front-loaded, while an operating lease reports a single straight-line lease cost. The old idea that operating leases are invisible was true under the previous rules and still shapes how people talk, but it no longer describes lessee accounting.

Why is a finance lease more expensive than an operating lease in the early years?

A finance lease splits the cost into two pieces: interest on the lease liability and amortization of the right-of-use asset. The interest piece is largest in the first year because the liability balance is largest then, and it declines as the liability is paid down, while the amortization is usually flat. Adding a large early interest charge to level amortization makes the combined finance-lease expense higher than the flat single cost of an operating lease at the start. Later the interest shrinks and the finance-lease expense falls below the operating cost. Over the entire term the two are equal, because both simply add up to the total lease payments; only the timing of recognition differs.

How does a lessor decide between a finance lease and an operating lease?

A lessor classifies a lease as a finance lease when it transfers substantially all the risks and rewards of ownership to the lessee, for example when ownership transfers at the end of the term, the lease covers most of the asset useful life, or the present value of the payments is substantially all of the asset fair value. If none of those conditions holds, it is an operating lease. In a finance lease the lessor derecognizes the asset and records a lease receivable, then earns interest income; a sales-type finance lease also books selling profit at inception, while a direct-financing lease does not. In an operating lease the lessor keeps and depreciates the asset and recognizes lease income over time.

What is the funded status of a defined-benefit pension plan?

The funded status is the plan assets minus the defined-benefit obligation, and it is the amount reported on the balance sheet for a defined-benefit plan. The defined-benefit obligation is the present value of the pension benefits employees have earned to date, and the plan assets are the investments the employer has set aside to meet it. If assets exceed the obligation the plan is overfunded and a net asset is shown; if the obligation exceeds assets the plan is underfunded and a net liability is shown. An underfunded plan is a real claim on the company that many analysts treat like debt when assessing leverage, and its size is sensitive to the actuarial assumptions used.

How is a defined-contribution plan different from a defined-benefit plan?

In a defined-contribution plan the employer promises only to pay a set amount into the plan, and the employee bears the investment risk of what it grows to; the accounting is simply to expense the contribution, with no ongoing balance-sheet obligation once it is paid. In a defined-benefit plan the employer promises a set future benefit based on factors such as salary and service, and the employer bears the investment and actuarial risk; this creates a long-term obligation measured against dedicated plan assets, with the funded status reported on the balance sheet and a periodic cost made of service, interest, and return components. The defined-benefit plan is far more complex and far more consequential for analysis.

Why is share-based compensation an expense if the company pays no cash?

Share-based compensation rewards employees with equity, and even though little or no cash changes hands, the company gives up something of value: a claim on its future shares. Accounting recognizes that cost by measuring the award at its grant-date fair value and expensing it over the vesting period, which lowers net income in each of those years. Because no cash leaves the business, the expense is added back to net income in the operating section of the cash flow statement under the indirect method, so operating cash flow is not reduced. The real cost surfaces as dilution: when options are exercised or restricted stock units settle, the share count rises and each existing shareholder owns a smaller portion of the company.

How does bringing leases onto the balance sheet change solvency ratios?

Capitalizing a lease adds a lease liability to total debt and an equal right-of-use asset to total assets, while leaving equity unchanged from the capitalization itself. As a result the debt-to-equity ratio rises, because debt grows and equity does not, and the debt-to-assets ratio also rises, though less sharply because both the numerator and the denominator increase. The company looks more leveraged even though its underlying obligations have not changed. This is why comparing a firm that leases heavily with one that borrows to buy is only fair once leases are on the balance sheet for both, and why an analyst working with older statements adds the lease commitments back before judging leverage.

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