Financial Statement Impact of a Direct Financing Lease versus Operating Lease for the Lessor
Assume two similar (hypothetical) companies, DIRFIN Inc. and LOPER Inc., own a similar piece of machinery and make similar agreements to lease the machinery on 1 January Year 1. In the lease contract, each company requires four annual payments of €28,679 starting on 1 January Year 1. The useful life of the machine is four years and its salvage value is zero. DIRFIN Inc. accounts for the lease as a direct financing lease while LOPER has determined the lease is an operating lease. (For simplicity, this example assumes that the accounting rules governing these hypothetical companies do not mandate either type of lease.) The present value of lease payments and fair value of the equipment is €100,000.
At the beginning of Year 1, before entering into the lease agreement, both companies reported liabilities of €100,000 and equity of €200,000. Assets on hand include the asset about to be leased. Each year the companies receive total revenues of €50,000 cash, apart from any revenue earned on the lease. Assume the companies have a tax rate of 30 percent, and use the same accounting for financial and tax purposes. Both companies’ discount rate is 10 percent. In order to focus only on the differences in the type of lease, assume that neither company incurs revenues or expenses other than those associated with the lease and that neither invests excess cash.
1. Which company reports higher expenses/net income in Year 1? Over the four years?
2. Which company reports higher total cash flow over the four years? Cash flow from operations?
3. Based on ROE, how do the two companies’ profitability measures compare
to 1: LOPER reports higher expenses in Year 1 because, under an operating lease, the lessor retains ownership of the asset and continues to report associated depreciation expense. DIRFIN, treating the lease as a finance lease, does not reflect ownership of the asset or the associated depreciation expense. DIRFIN has higher net income in Year 1 because the interest revenue component of the lease payment in that year exceeds the lease revenue net of depreciation reported by LOPER.
exceeds the lease revenue net of depreciation reported by LOPER. On its income statement, LOPER reports depreciation expense for the asset it has leased and lease revenue based on the lease payment received. The following table shows LOPER’s depreciation and book values on leased equipment by year.^{35}
(Table 1)
• Column (a) is the cost of €100,000 of the leased equipment.
• Column (b) is depreciation expense of €25,000 per year, calculated using the straight-line method as the cost less the salvage value divided by the useful life [(€100,000 – €0)/4 years].
• Column (c) is the accumulated depreciation on the leased asset calculated as the prior year’s accumulated depreciation plus the current year’s depreciation expense.
• Column (d) is the ending book value of the leased equipment, which is the difference between the cost and accumulated depreciation.
DIRFIN, however, records the lease as a direct financing lease. It removes the leased asset from its assets and records a lease receivable. On its income statement, DIRFIN reports interest revenues earned from financing the lease. The table following shows DIRFIN’s interest revenues and carrying amounts on the lease receivable.
(Table 2)
• Column (a) is the lease receivable at the beginning of the year.
• Column (b) is annual lease payment received at the beginning of the year, which is allocated to interest and reduction of the lease receivable.
• Column (c) is interest accrued in the previous year calculated as the lease receivable outstanding for the year times the interest rate.
• Column (d) is the reduction of the lease receivable which is the difference between the annual lease payments received and interest. Because the lease payment is due on 1 January, this amount of interest is a receivable at the end of the prior year and is reported as interest revenue in the prior year.
• Column (e) is the lease receivable after the lease payment is received and at the end of the year. It is the lease receivable at 1 January (Column a) less the reduction of the lease receivable (Column d).
The table following summarizes and compares the income statement effects of the lease for DIRFIN and LOPER. Notice that over the four-year lease, both companies report the same total amount of revenue, but DIRFIN’s revenues in the earlier years of the lease are higher than the net of lease revenues less depreciation reported by LOPER in those years.
(Table 3)
The complete income statements for DIRFIN and LOPER follow. Notice that, under the assumption that the same accounting is used for financial and tax purposes, DIRFIN’s taxes are higher than those of LOPER in Years 1 and 2.
(Table 4)
to 2: Looking at the statement of cash flows, observe that operating cash flows reported by DIRFIN are lower, but investing cash flows are higher than LOPER. Over the four years, both DIRFIN and LOPER report the same total change in cash.
(Table 5)
to 3: Based on ROE, DIRFIN appears more profitable than LOPER in the early years of the lease.
Computing ROE requires forecasting shareholders’ equity. In general, Ending shareholders’ equity = Beginning shareholders’ equity + Net income + Other comprehensive income – Dividends + Net capital contributions by shareholders. Because the companies in this example do not have other comprehensive income, do not pay dividends, and have no capital contributions, Ending shareholders’ equity = Beginning shareholders’ equity + Net income. The forecasts are presented here.
(Table 6)
ROE is calculated as net income divided by average shareholders’ equity. For example, DIRFIN Inc. had Year 1 ROE of 18.2 percent: €39,992/[(€200,000 + €239,992)/2].
(Table 7)
From the comparisons given earlier, DIRFIN looks more profitable in the early years of the lease, but less profitable in the later years.
^{35}The computations included throughout the example were made using an Excel worksheet; small apparent discrepancies in the calculations are due to the rounding.
Year | Acquisition Cost (a) |
Depreciation Expense (b) |
Accumulated Depreciation (c) |
Carrying Amount (year end) (d) |
1 | € 100,000 | € 25,000 | € 25,000 | € 75,000 |
2 | 100,000 | 25,000 | 50,000 | 50,000 |
3 | 100,000 | 25,000 | 75,000 | 25,000 |
4 | 100,000 | 25,000 | 100,000 | 0 |
\underline{\underline{€ 100,000}} | ||||
(Table 1) |
Year | Lease Liability, 1 January (a) |
Annual Lease Payment, 1 January (b) |
Interest (at 10%; accrued in previous year) (c) |
Reduction of Lease Liability, 1 January (d) |
Lease Liability on 31 December after Lease Payment on 1 January of Same Year (e) |
1 | € 100,000 | € 28,679 | € 0 | € 28,679 | € 71,321 |
2 | 71,321 | 28,679 | 7,132 | 21,547 | 49,774 |
3 | 49,774 | 28,679 | 4,977 | 23,702 | 26,072 |
4 | 26,072 | 28,679 | 2,607 | 26,072 | 0 |
\underline{\underline{€ 114,717}} | \underline{\underline{€ 14,717}} | \underline{\underline{€ 100,000}} | |||
(Table 2) |
DIFRIN | LOPER | ||||
Year | Lease Revenue | Lease Revenue | Depreciation Expense | Total | Difference |
1 | € 7,132 | € 28,679 | € 25,000 | € 3,679 | € 3,453 |
2 | 4,977 | 28,679 | 25,000 | 3,679 | 1,298 |
3 | 2,607 | 28,679 | 25,000 | 3,679 | (1,072) |
4 | — | 28,679 | 25,000 | 3,679 | (–3,679) |
Total | € 14,717 | € 114,717 | € 100,000 | € 14,717 | € 0 |
(Table 3) |
DIRFIN | LOPER | |||||||||
Income Statements | 1 | 2 | 3 | 4 | Total | 1 | 2 | 3 | 4 | Total |
Sales | € 50,000 | € 50,000 | € 50,000 | € 50,000 | € 200,000 | € 50,000 | € 50,000 | € 50,000 | € 50,000 | € 200,000 |
Depreciation expense | (25,000) | (25,000) | (25,000) | (25,000) | (100,000) | |||||
Interest revenue | 7,132 | 4,977 | 2,607 | 14,717 | ||||||
Lease revenue | 28,679 | 28,679 | 28,679 | 28,679 | 114,717 | |||||
Income before taxes | € 57,132 | € 54,977 | € 52,607 | € 50,000 | € 214,717 | € 53,679 | € 53,679 | € 53,679 | € 53,679 | € 214,717 |
Tax expense | 17,140 | 16,493 | 15,782 | 15,000 | 64,415 | 16,104 | 16,104 | 16,104 | 16,104 | 64,415 |
Net income | € 39,992 | € 38,484 | € 36,825 | € 35,000 | € 150,302 | € 37,575 | € 37,575 | € 37,575 | € 37,575 | € 150,302 |
(Table 4) |
DIRFIN | LOPER | |||||||||
Statements of Cash Flows | 1 | 2 | 3 | 4 | Total | 1 | 2 | 3 | 4 | Total |
Net income | € 39,992 | € 38,484 | € 36,825 | € 35,000 | € 150,302 | € 37,575 | € 37,575 | € 37,575 | € 37,575 | € 150,302 |
Increase (decrease) in interest receivable | 7,132 | (2,155) | (2,370) | (2,607) | 0 | |||||
Add back depreciation expense |
|
25,000 | 25,000 | 25,000 | 25,000 | 100,00 | ||||
Operating cash flows | € 32,860 | € 40,639 | € 39,195 | € 37,607 | € 150,302 | € 62,575 | € 62,575 | € 62,575 | € 62,575 | € 250,302 |
Payments received on finance leases | 28,679 | 21,547 | 23,702 | 26,072 | 100,000 | |||||
Investing cash flows | 28,679 | 21,547 | 23,702 | 26,072 | 100,000 | |||||
Change in cash | € 61,540 | € 62,186 | € 62,897 | € 63,679 | € 250,302 | € 62,575 | € 62,575 | € 62,575 | € 62,575 | € 250,302 |
(Table 5) |
DIRFIN | 0 | 1 | 2 | 3 | 4 |
Retained earnings | € 0 | € 39,992 | € 78,477 | € 115,302 | € 150,302 |
Common stock | 200,000 | 200,000 | 200,000 | 200,000 | 200,000 |
Total shareholders’ equity | € 200,000 | € 239,992 | € 278,477 | € 315,302 | € 350,302 |
LOPER | 0 | 1 | 2 | 3 | 4 |
Retained earnings | € 0 | € 37,575 | € 75,151 | € 112,726 | € 150,302 |
Common stock | 200,000 | 200,000 | 200,000 | 200,000 | 200,000 |
Total shareholders’ equity | € 200,000 | € 237,575 | € 275,151 | € 312,726 | € 350,302 |
(Table 6) |
DIRFIN | LOPER | ||||||||
1 | 2 | 3 | 4 | 1 | 2 | 3 | 4 | ||
ROE | 18.2% | 14.8% | 12.4% | 10.5% | 17.2% | 14.7% | 12.8% | 11.3% | |
(Table 7) |