📖 租赁：经营租赁 vs 融资租赁

Financial Statement Analysis

I. Lesson Focus

This lesson examines the accounting treatment of leases from the lessee’s perspective, contrasting operating leases and finance leases. Candidates must master the classification criteria, the differing impacts on the balance sheet, income statement, and statement of cash flows, and how to adjust financial statements for analytical comparability. The focus is on real mechanics, formulas, and numerical adjustments required for CFA Level I Financial Statement Analysis.

II. The Problem

An airline needs an aircraft for five years. Under an operating lease, annual fixed rentals are expensed and the aircraft stays off the balance sheet. Under a finance lease, the aircraft is capitalized as both an asset and a liability, with annual depreciation and interest expense recognized. These two approaches produce materially different leverage ratios, EBIT, operating cash flow, and net income. Analysts must be able to identify lease type and adjust reported numbers to compare companies on an apples-to-apples basis. This is the central examination topic in the CFA Level I leases reading.

III. Lease Definition and Classification

A lease is a contract that conveys the right to control the use of an identified asset for a period of time in exchange for consideration. Although IFRS 16 and ASC 842 require most leases to be recognized on the lessee’s balance sheet, CFA Level I still tests the traditional distinction between operating and finance leases and the resulting financial-statement differences.

Lessee Classification Criteria (Traditional Framework Still Tested): - Finance lease (capital lease): Transfers substantially all risks and rewards of ownership. - Operating lease: Does not meet any finance-lease criteria.

Finance-Lease Tests (Any one triggers finance-lease treatment): 1. Ownership transfers to the lessee by the end of the lease term. 2. Bargain purchase option exists. 3. Lease term is for the major part (≥75 %) of the asset’s economic life. 4. Present value of lease payments amounts to substantially all (≥90 %) of the asset’s fair value. 5. The asset is specialized and has no alternative use to the lessor.

IV. Lessee Accounting Treatment Comparison

1. Operating Lease

• Balance sheet: No asset or liability is recognized; future minimum lease payments are disclosed in footnotes.
• Income statement: Lease (rental) expense is recognized on a straight-line basis, usually within operating expenses.
• Cash flow statement: Entire cash rental payment is classified as an operating cash outflow (CFO).
• Effect: Stable expense pattern, no balance-sheet leverage appears, EBITDA unaffected.

2. Finance Lease

• Balance sheet: At commencement, recognize a right-of-use (ROU) asset and a lease liability at the present value of lease payments (or fair value if lower).
• Income statement:
• Depreciation of the ROU asset (normally straight-line) is recorded in operating expenses.
• Interest expense on the lease liability is recorded using the effective-interest method and classified as a finance cost.
• Cash flow statement:
• Principal repayments are financing cash outflows (CFF).
• Interest portion is usually operating (CFO) under US GAAP; IFRS allows policy choice.
• Pattern: Total expense (depreciation + interest) is front-loaded, declining over the lease term.

V. Lessor Accounting (Summary)

• Operating lease: Lessor keeps the asset on its balance sheet, recognizes rental income on a straight-line basis, and depreciates the asset.
• Finance lease:
• Sales-type lease: Present value of payments exceeds carrying amount of asset; lessor recognizes selling profit at inception.
• Direct-financing lease: No selling profit; only interest income is recognized over time. CFA Level I emphasizes the lessee viewpoint; lessor accounting is tested at a conceptual level only.

VI. Impact on Financial Ratios

• Leverage ratios (debt-to-assets, debt-to-equity): Higher under finance leases because both asset and liability increase.
• EBIT: Higher under finance leases (interest is below EBIT); EBITDA is higher under operating leases.
• CFO: Lower under operating leases (full payment in CFO); higher under finance leases (only interest in CFO).
• CFF: Lower under finance leases (principal repayment in CFF).
• ROA: Usually lower in early years of a finance lease (higher asset base and higher early expense).
• ROE: Mixed effect depending on leverage amplification.

Analysts adjust operating leases by discounting future minimum lease payments, adding the PV to both assets and liabilities, and reclassifying the rental expense into depreciation and interest components for ratio analysis.

Worked Cases

Case 1: Lease Classification

Equipment fair value = $1,000,000, economic life = 8 years, lease term = 5 years, annual end-of-year payment = $250,000, incremental borrowing rate = 10 %.

Calculation:
PV of payments = 250,000 × PV annuity factor (10 %, 5) = 250,000 × 3.7908 = $947,700.
$947,700 / $1,000,000 = 94.77 % > 90 %. Lease term is 62.5 % of economic life (< 75 %).
Conclusion: Present-value test is met → finance lease.

Case 2: Financial-Statement Impact Comparison (5-Year Lease)

Asset fair value = $100,000, lease term = 5 years, zero residual value, incremental borrowing rate = 10 %. Annual payment at the beginning of each year = $25,980 (exactly amortizes $100,000).

Finance-Lease Accounting (commencement): - ROU asset = Lease liability = $100,000. - Annual depreciation = $100,000 / 5 = $20,000. - Year-1 interest = $100,000 × 10 % = $10,000 (liability reduced at start of year). - Year-1 total expense = $20,000 + $10,000 = $30,000. - CFO contains the $10,000 interest (US GAAP assumption). - CFF contains principal repayment ≈ $15,980.

Operating-Lease Accounting: - Annual rental expense = $25,980 (straight-line). - Entire $25,980 cash payment classified as CFO. - Year-1 total expense = $25,980 (lower than finance lease).

Conclusion: Finance lease produces higher expense and higher CFO in the first year, and higher reported leverage.

Case 3: Capitalization Adjustment of Operating Leases

Company reports total assets $8.0 m, total liabilities $6.0 m, EBIT $1.2 m, and rental expense $0.3 m. Future minimum lease payments for next 5 years: $0.35 m, $0.30 m, $0.25 m, $0.20 m, $0.15 m. Discount rate = 8 %.

Adjustment Steps: 1. PV of future lease payments ≈ $1.065 m. 2. Adjusted assets = $8.0 m + $1.065 m = $9.065 m. 3. Adjusted liabilities = $6.0 m + $1.065 m = $7.065 m. 4. Adjusted EBIT = reported EBIT + rental expense – implied depreciation = $1.2 m + $0.3 m – $0.213 m ≈ $1.287 m. 5. Adjusted debt-to-assets = $7.065 m / $9.065 m ≈ 77.9 % (was 75 %). 6. Adjusted EBITDA = reported EBITDA + $0.3 m (add back rental expense).

The adjustment reveals higher leverage and a clearer picture of operating performance.

Traps

Key Formulas

• Initial lease liability = $ \text{PV of Lease Payments} = \sum_{t=1}^{n} \frac{\text{Payment}_t}{(1+r)^t} $
• Finance-lease periodic expense = Depreciation (straight-line) + Interest (effective interest)
• Operating-lease periodic expense = Straight-line rental payment
• Adjusted liabilities = Reported liabilities + PV of future operating lease payments
• Adjusted EBIT = Reported EBIT + Rent expense – Depreciation component (after capitalization)
• ROU asset depreciation = $\frac{\text{Initial recognized amount} - \text{Residual value}}{\text{Lease term or useful life}}$

Practice Questions

Q1. In the early years of a finance lease, the lessee’s total expense is usually:
A. Lower than under an operating lease
B. Higher than under an operating lease
C. The same as under an operating lease
D. Not comparable

Q2. Cash payments under an operating lease are classified on the statement of cash flows as:
A. Entirely within CFF
B. Entirely within CFO
C. Principal in CFO
D. Interest in CFF

Q3. Lease payments have a present value equal to 92 % of the asset’s fair value and the lease term is 70 % of economic life. For the lessee, the lease is classified as:
A. Operating
B. Finance
C. Depends on management judgment
D. Hybrid

Q4. Compared with an operating lease, a finance lease most likely results in:
A. Higher CFO
B. Lower leverage ratios
C. Lower early EBIT
D. Higher early net income

Q5. When an analyst capitalizes operating leases, the correct adjustment is to:
A. Increase only assets
B. Increase both assets and liabilities
C. Increase only liabilities
D. Decrease EBITDA

Q6. In a finance lease, interest on the lease liability is reported on the income statement as:
A. Cost of sales
B. Depreciation expense
C. Finance (interest) expense
D. Other comprehensive income

Q7. All else equal, in the early years a finance lease relative to an operating lease will most likely produce a higher:
A. Debt-to-assets ratio
B. Operating cash flow to total cash flow
C. Return on assets
D. Current ratio

Q8. At inception, a lessor in a sales-type lease will most likely:
A. Recognize only interest income over time
B. Immediately recognize sales revenue and cost of goods sold
C. Continue to report the asset as PP&E
D. Make no accounting entry

Answers

Takeaways

• Finance leases capitalize both an asset and liability; operating leases traditionally keep the item off-balance-sheet (new standards have largely eliminated this distinction).
• Finance-lease expense is front-loaded; operating-lease expense is level.
• Finance leases report higher CFO and lower CFF than operating leases.
• To adjust operating leases, add the discounted PV to both assets and liabilities and recharacterize rent into depreciation plus interest.
• The 90 % PV and 75 % lease-term tests remain core quantitative thresholds.
• Analysts should focus on adjusted leverage and earnings quality rather than unadjusted reported figures.