Chapter 17: Accounting for Leases Assignment 17-5 Requirement 1 a. The lease term is 10 years. The second five-year lease term is a bargain renewal option, based on the information regarding market rental rates. b. Guaranteed residual, none. c. Unguaranteed residual exists as the value of the asset to the lessor at the end of the lease term. There is no way to calculate this amount. d. Bargain purchase option, none. e. Bargain renewal terms, $29,500 per year for the second five-year lease term f. Minimum net lease payment: (a) ($79,600 – $7,900) × 5 years (b) ($29,500 – $2,500) × 5 years g. $358,500 135,000 $493,500 Incremental borrowing rate, 8% Requirement 2 To be a capital lease, the lease would have to meet one of three criteria, applied judgementally: 1. Transfer of title or BPO 2. Economic life vs. lease term 3. PV of MLP vs. fair value No Yes; 10/12 > 75% Yes; $388,418* = 90% of $430,000 * PV of MLP: (a) PV1 = ($79,600 – $7,900) (P/AD, 8%, 5) = $71,700 × 4.31213 = (b) PV2 = ($29,500 – $2,500) (P/AD, 8%, 5) (P/F, 8%, 5) = $27,000 × (4.31213) × (.68058) = $309,180 79,238 $388,418 Requirement 3 Beginning of fiscal year and lease term: Asset under capital lease....................................................... Lease liability................................................................... 388,418 Insurance expense ................................................................. Lease liability ....................................................................... Cash ................................................................................. 7,900 71,700 388,418 79,600 End of fiscal year: Interest expense .................................................................... Lease liability ................................................................... [($388,418 – $71,700) × .08] 25,337 Depreciation expense ............................................................ Accumulated depreciation ............................................... [$388,418÷ 10] 38,842 25,337 38,842 Assignment 17-9 Requirement 1 – Present value of the lease payments PV = $7,500 × (P/AD, 8%, 5) = $7,500 × (4.31213) = $32,341 The present value is 90% of the fair value of $36,000. Also, the lease is for a major portion (5/7) of the equipment’s economic life. The remaining two years of life (after the end of the lease term) are not likely to be of any value to NLC. Thus, this clearly is a finance lease. Requirement 2 – Amortization table Year Outstanding Balance 20x1 20x2 20x3 20x4 20x5 32,341 24,841 19,328 13,374 6,944 Interest at 8% — 1,987 1,546 1,070 556 1 October Cash Flow Inc/(Dec) in Balance Ending Balance (7,500) (5,513) (5,954) (6,430) (6,944) 24,841 19,328 13,374 6,944 0 7,500 7,500 7,500 7,500 7,500 Requirement 3 – Entries for 20X1 and 20X2 1 October 20x1: Asset under capital lease ..................................................... Lease liability ................................................................ Lease liability ...................................................................... Cash............................................................................... 31 December 20x1: Interest expense ($24,841 × 8% × 3/12) ............................. Lease liability ................................................................ Depreciation expense ($32,341 × 3/60) .............................. Accumulated depreciation—leased asset ...................... 1 October 20x2: Lease liability ...................................................................... Cash............................................................................... 31 December 20x2: Interest expense* ................................................................. Lease liability ................................................................ Depreciation expense ($32,341 × 12/60) ............................ Accumulated depreciation, asset under lease................ *($24,841 × 8% × 9/12) + ($19,328 × 8% × 3/12) = $1,490 + $387 = $1,877 32,341 32,341 7,500 7,500 497 497 1,617 1,617 7,500 7,500 1,877 1,877 6,468 6,468 Requirement 4 Lease liability, 31 December 20X2: 32,341 – 7,500 + 497 – 7,500 + 1,877 = 19,715 Reconciliation to amortization table: Lease balance after 2nd payment = 3/12 of 3rd year interest = 1,546 × 3/12 = $19,328 387 $19,715 Requirement 5 The current liability is the amount of principal payment on 1 October 20X3, plus the interest accrued between 1 October 20X2 and 31 December 20X2: Principal component of 1 Oct 20X3 payment* ....................... $ 5,954 Accrued interest (see requirement 4, above) ........................... 387 Current portion of lease ........................................................ 6,341 Long-term portion ($19,715 – $6,341) ................................ 13,374 Lease liability, total ................................................................. $19,715 * from amortization table Assignment 17-11 Requirement 1 The lease is a finance lease to the lessee because the term, including the three bargain renewal terms, is substantially equal to the economic life of the asset. The PV of the MLP’s is equal to 96% of the asset’s fair value ($17,316* ÷ $18,000) *PV: (a) ($5,800 – $1,700) (P/AD, 12%, 5) = $4,100 × (4.03735) ...................... (b) ($2,600 – $2,100) (P/AD, 12%, 3) (P/F, 12%, 5) = $500 × (2.69005) × (.56743) ...................................................... $16,553 763 $17,316 Requirement 2 – Lease Amortization Schedule, Beginning of Lease Year Payments Lease Year Outstanding Balance 20x2 20x3 20x4 20x5 20x6 20x7 20x8 20x9 $17,316 13,216 10,702 7,886 4,732 1,200 844 445 Interest at 12% $ 0 1,586 1,284 946 568 144 101 54 $4,683 1 January Payment $4,100 4,100 4,100 4,100 4,100 500 500 500 Inc/(Dec) in Balance $(4,100) (2,514) (2,816) (3,154) (3,532) (356) (399) (446) Ending Balance $13,216 10,702 7,886 4,732 1,200 844 445 (1) rounding Requirement 3 – Entries 20x2 1 January Asset under finance lease ................. 17,316 Lease liability............................ Lease liability.................................. 4,100 Insurance and maintenance expense 1,700 Cash.......................................... 31 December Interest expense............................. Lease liability.......................... Depreciation expense................... Accumulated depreciation, leased asset ($17,316 ÷ 8)... 20x3 17,316 4,100 1,700 5,800 1,586 5,800 1,284 1,586 2,165 1,284 2,165 2,165 2,165 Requirement 4 Income Statement Maintenance and insurance expense Interest expense Depreciation expense Statement of Financial Position Capital assets Assets under capital leases Accumulated depreciation Current liabilities Current portion of lease liability Long-term liability Lease liability Less: current portion 20x2 $1,700 1,586 2,165 20x3 $1,700 1,284 2,165 17,316 (2,165) 15,151 17,316 (4,330) 12,986 4,100 4,100 14,802* 4,100 10,702 11,986* 4,100 7,886 *$13,216 + $1,586; $10,702 + $1,284 Statement of Cash Flows Operations: Addbacks: depreciation Increase(decrease) in interest payable Financing: Repayment of lease liability 2,165 1,586 (4,100)* 2,165 (302) (2,514)** *$17,316 – $14,802 = $(2,514); $1,586 interest and $(4,100) repayment. May also be shown as the net $(2,514) change in lease liability. Practice differs. **$14,802 – $11,986 = ($2,816); ($302) interest ($1,586 versus $1,284) and $(2,514) repayment. May also be shown as the net ($2,816) change in lease liability. Requirement 5 Allocation of Interest Expense to Fiscal Years Lease Payment 20X2 20X3 20X4 20X5 20X6 20X7 20X8 20X9 20X10 Implicit Interest Allocation (5/12: 7/12) Interest Expense Year End 0 1,586 0 661 $661 31 May 20x2 1,284 925 535 1,460 31 May 20x3 946 749 394 1,143 31 May 20x4 568 552 237 789 31 May 20x5 144 331 60 391 31 May 20x6 101 84 42 126 31 May 20x7 54 59 23 82 31 May 20x8 0 $4,683 31 0 $4,683 31 $4,683 31 May 20x9 $ Assignment 17-18 Requirement 1 20x2 31 March Cash........................................................... Accumulated depreciation ........................ Distribution facility............................... Deferred gain on sale and leaseback..... 9,000,000 3,600,000 Distribution facility under lease ................ Lease liability ....................................... ($875,000 × P/AD 9%,20) (9.95011) 8,706,346 Lease liability ............................................ Cash ...................................................... 875,000 31 Dec. 10,400,000 2,200,000 8,706,346 875,000 Interest expense ......................................... 528,616 Lease liability ....................................... 528,616 ($8,706,346 – $875,000) × 9% × 9/12 New balance: $8,706,346 – $875,000 + $528,616 = $8,359,962 Depreciation expense ................................ Accumulated depreciation, leased distribution facility ............................. ($8,706,346 × 1/30 × 9/12) 217,659 Deferred gain on sale and leaseback ......... Depreciation expense ............................ ($2,200,000 × 1/30 × 9/12) 55,000 217,659 55,000 Requirement 2 20x3 31 March Interest expense ......................................... 176,205 Lease liability ....................................... 176,205 ($8,706,346 – $875,000) × 9% × 3/12 Lease liability ............................................ 875,000 Cash ...................................................... 875,000 New balance: ($8,706,346 – $875,000 + $528,616 + $176,205 – $875,000) = $7,661,167 31 Dec. Interest expense ......................................... 517,129 Lease liability ....................................... ($7,661,167 × 9% × 9/12) Balance: $7,661,167 + $517,129 = $8,178,296 517,129 Depreciation expense ................................... Accumulated depreciation, leased distribution facility ............................. $8,706,346 × 1/30 Deferred gain on sale and leaseback ......... Depreciation expense ............................ $2,200,000 × 1/30 290,212 20x4 31 March Interest expense ......................................... Lease liability ....................................... ($7,661,167 × 9% × 3/12) 172,376 290,212 73,333 73,333 172,376 Lease liability ............................................ 875,000 Cash ...................................................... 875,000 New balance : ($7,661,167 + $517,129 + $172,376 – $875,000) = $7,475,672 Dec 31 Interest expense ......................................... 504,608 Lease liability ....................................... ($7,475,672 × .09 × 9/12) New balance: $7,475,672 + $504,608 = $7,980,280 Depreciation expense ................................ Accumulated depreciation, leased distribution facility ............................. 290,212 Deferred gain on sale and leaseback ......... Depreciation expense ............................ 73,333 504,608 290,212 73,333 Requirement 3 Statement of Financial Position: 20x2 Capital Assets Distribution facility under capital lease ... $8,706,346 Less: accumulated depreciation .............. 217,659 $8,488,687 Deferred credits Deferred gain on sale and leaseback ........ 2,145,000 20x3 20x4 $8,706,346 507,871 $8,198,475 $8,706,346 798,083 $7,908,263 2,071,667 1,998,334 Long-term liability Lease liability ........................................... 8,359,962 8,178,296 7,980,280 Income Statement: Interest expense ........................................ Depreciation expense ............................... 528,616 162,659 693,334 216,879 676,984 216,879 Assignment 17-24 Requirement 1 PV of lease payments: $100,000 (P/AD, 6%, 5) = $100,000 × 4.46511 = $446,511 Year 20x4 20x5 20x6 20x7 20x8 Outstanding balance 446,511 346,511 267,301 183,339 94,340 Interest @6% – 20,791 16,038 11,000 5,660 cash payment 100,000 100,000 100,000 100,000 100,000 Incr/(Decr) in balance (100,000) (79,209) (83,962) (89,000) (94,340) 31 Dec. balance 346,511 267,301 183,339 94,340 0 Requirement 2 Statement of financial position: Equipment under finance lease Accumulated depreciation (assuming full year depreciation) Current liability for capital lease* Long-term liability for capital lease** $446,511 (89,302) $357,209 $100,000 $267,302 The total lease liability at 31 Dec 20x4 is $346,511 principal plus $20,791 interest = $367,302. * Of that amount, the current portion is the $100,000 due the next day, (consisting of $79,209 principal plus $20,791accrued interest) ** The long-term portion is (1) the total liability of $367,302 minus the next-day payment of $100,000, or (2) the remaining principal payments: 83,962 + 89,000 + 94,340 Statement of comprehensive income, earnings section: Depreciation expense Interest expense (from amortization table) $ 89,302 20,791 Cash flow statement: Operating activities—non-cash expense add-backs: Depreciation Interest Financing activities—finance lease payment $ 89,302 20,791 100,000 Requirement 3 Yvan Limited entries for 20x5: 2 January 20x5: Lease liability Cash 100,000 100,000 31 December 20x5: Interest expense Lease liability 16,038 Depreciation expense Accumulated depreciation—asset under finance lease 89,302 16,038 89,302 Requirement 4 Jeffrey Leasing Inc. entries for 20x5: 2 January 20x5: Cash 100,000 Lease payments receivable 100,000 31 December 20x5: Unrealized finance income Finance income 16,038 16,038