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Leases. PV Computations Classification of Leases. Acct 414 – Fall 2008 – Prof. Teresa Gordon. 1e. BPO - Lease 1E. Inception date: 1/1/12 Lessor: Troy Tractors Inc. Fair value of combine at 1/1/02: $50,000 Cost to manufacture combine: $40,000
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Leases PV Computations Classification of Leases Acct 414 – Fall 2008 – Prof. Teresa Gordon
1e BPO - Lease 1E • Inception date: 1/1/12 • Lessor: Troy Tractors Inc. • Fair value of combine at 1/1/02: $50,000 • Cost to manufacture combine: $40,000 • Estimated fair value at end of lease is $10,000 • Fixed non-cancelable lease term: 5 years. • First payment due on 12/31/12 • Lessee: Farview Farms • Incremental borrowing rate (lessee): 12% • Implicit interest rate (lessor’s desired rate of return): 12% • Option to buy at end of lease term for $5,000 • Estimated useful life of combine: 8 years
1e Bargain Purchase Option PAYMENT INTEREST "PRINCIPAL" BALANCE 0 50,000.00 1 $13,083 $6,000.00 $7,083.00 42,917.00 2 13,083 5,180.04 7,932.96 34,984.04 3 13,083 4,198.08 8,884.92 26,099.12 4 13,083 3,131.89 9,951.11 16,148.01 5 18,083 1,934.99 16,148.01 0.00 Note that the last payment willinclude the $5,000 BPO
1e Bargain Purchase Option PAYMENT INTEREST "PRINCIPAL" BALANCE 0 50,000.00 1 $13,083 $6,000.00 $7,083.00 42,917.00 2 13,083 5,150.04 7,932.96 34,984.04 3 13,083 4,198.08 8,884.92 26,099.12 4 13,083 3,131.89 9,951.11 16,148.01 5 18,083 1,934.99 16,148.01 0.00 $13,083 - $6,000 $50,000 * 12% $50,000 - $7,083 An ordinary annuity situation – the first line includes interest
1e Bargain Purchase Option PAYMENT INTEREST "PRINCIPAL" BALANCE 0 50,000.00 1 $13,083 $6,000.00 $7,083.00 42,917.00 2 13,083 5,150.04 7,932.96 34,984.04 3 13,083 4,198.08 8,884.92 26,099.12 4 13,083 3,131.89 9,951.11 16,148.01 5 18,083 1,934.99 16,148.01 0.00
1f Example 1F 1. Inception date: 1/1/12 2. Lessor: Troy Tractors Inc. 3. Fair value of combine at 1/1/12: $50,000 4. Estimated fair value at end of lease is $10,000 5. First payment due on 1/1/12 6. Lessee: Farview Farms 7. Fixed non-cancelable lease term: 6 years. 8. Option to buy at end of lease term for $2,000 9. Estimated useful life of combine: 8 years 10. Desired rate of return for lessor and incremental borrowing rate for lessee: 12% 11. The cost to manufacture the tractor is $40,000. What amount should the payment be given that the lessor requires a 12% return?
1f Example 1F 1. Inception date: 1/1/12 2. Lessor: Troy Tractors Inc. 3. Fair value of combine at 1/1/12: $50,000 4. Estimated fair value at end of lease is $10,000 • First payment due on 1/1/12 6. Lessee: Farview Farms 7. Fixed non-cancelable lease term: 6 years 8. Option to buy at end of lease term for $2,000 9. Estimated useful life of combine: 8 years 10. Desired rate of return for lessor and incremental borrowing rate for lessee: 12% 11. The cost to manufacture the tractor is $40,000. 12. Payment = 10,638 Now, classify the lease
1f Example 1f PAYMENT INTEREST "PRINCIPAL" BALANCE $50,000.00 0 $10,638 $ 0.00 $10,638.00 39,362.00 1 10,638 4,723.44 5,914.56 33,447.44 2 10,638 4,013.69 6,624.31 26,823.13 3 10,638 3,218.78 7,419.22 19,403.91 4 10,638 2,328.47 8,309.53 11,094.38 5 10,638 1,331,33 9,306.67 1,787.71 6 2,000 212.29 1,787.71 0.00 Note that the first payment is ALL principalsince no interest has yet been incurred 10,638 - 4,723 39,362 * 12% 39,362 - 5,915 This is an annuity due situation – the first payment is 100% principal.
1f Example 1f PAYMENT INTEREST "PRINCIPAL" BALANCE $50,000.00 0 $10,638 $ 0.00 $10,638.00 39,362.00 1 10,638 4,723.44 5,914.56 33,447.44 2 10,638 4,013.69 6,624.31 26,823.13 3 10,638 3,218.78 7,419.22 19,403.91 4 10,638 2,328.47 8,309.53 11,094.38 5 10,638 1,331,33 9,306.67 1,787.71 6 2,000 212.29 1,787.71 0.00 Note that there is interest on the BPO This is an annuity due situation – the first payment is 100% principal.
A quick comparison IFRS vs. US GAAP IAS 17 vs. FAS 13 as amended many times
IFRS uses “indicators” that are considered as a whole • Indications that a contract is a FINANCE lease • Title transfer • Bargain purchase option • Term of lease covers a majority of leased asset’s economic life • Present value of minimum lease payments is equivalent to nearly all of the leased asset’s fair value Note that IFRS has no “bright line” rules But there’s more!
Indications that a contract is a FINANCE lease (continued) • Leased assets are of a specialized nature and are only usable by the lessee unless substantial costs are incurred to modify (nothing comparable in US GAAP) • Upon early termination of lease, lessee is responsible for lessor’s losses • Any gains & losses due to fluctuations in fair value of leased asset are attributed to the lessee • Lessee has option to renew for below market cost
2 Example 2 1. Inception of the lease: January 1, 2012 2. Term: 3 years 3. Implicit interest rate (known to lessee) 10% 4. Fair value of asset $100,000 5. Incremental borrowing rate: 12% 6. No collection or cost uncertainties for lessor 7. First payment due 1/1/12 8. Estimated useful life of asset:5 years 9. Lessor retains ownership of asset at end of lease 10. Cost of asset $100,000 11. Payments of $36,556 per year
What to use for “i” • To do present value computations, we need an interest rate. • Lessors always use the interest rate implicit in the lease • The lessee uses the LOWER of the implicit interest rate and their own incremental borrowing rate • Under IFRS: • “The discount rate to be used in calculating the present value of the minimum lease payments is the interest rate implicit in the lease, if this is practicable to determine; if not, the lessee’s incremental borrowing rate shall be used.
2a Example 2a 1. Inception of the lease: January 1, 2012 2. Term: 3 years 3. Implicit interest rate 10% (NOT known to lessee but could be estimated) 4. Fair value of asset $100,000 5. Incremental borrowing rate: 12% 6. No collection or cost uncertainties for lessor 7. First payment due 1/1/12 8. Estimated useful life of asset: 5 years 9. Lessor retains ownership of asset at end of lease 10. Cost of asset $100,000 11. Payments of $36,556 per year What if the lessor’s rate were NOT known to lessee? What would be the PVMLP? What if we follow IFRS?
4a On January 1, 2012, Powell Trucking and Cummingham Diesel sign a lease with the following terms: 1. Term: 3 years 3. Implicit interest rate (known to lessee) 10% 5. Fair value of asset $130,000 7. Incremental borrowing rate: 12% 9. Estimated useful life of asset: 5 years 11.Purchase option at end of lease: $2,500 2. Payments of $________________ 4. Est. fair value of asset at end of lease $2,500 6. Cost of asset $100,000 8. First payment due 1/1/12 (at inception) 10.No collection or cost uncertainties for lessor
4A On January 1, 2012, Powell Trucking and Cummingham Diesel sign a lease with the following terms: 1. Term: 3 years 3. Implicit interest rate =10% (known to lessee) 5. Fair value of asset $130,000 7. Incremental borrowing rate: 12% 9. Estimated useful life of asset: 5 years 11.Purchase option at end of lease: $2,500 2. Payments of$46,836 4. Est. fair value of asset at end of lease $2,500 6. Cost of asset $100,000 8. First payment due 1/1/12 (at inception) 10.No collection or cost uncertainties for lessor Classify lease under US GAAP and IFRS
4B On January 1, 2012, Powell Trucking and Cummingham Diesel sign a lease with the following terms: 1. Term: 3 years 3. Implicit interest rate =10% (NOT known to lessee but could be estimated) 5. Fair value of asset $130,000 7. Incremental borrowing rate: 12% 9. Estimated useful life of asset: 5 years 11.Purchase option at end of lease: $2,500 2. Payments of$46,836 4. Est. fair value of asset at end of lease $2,500 6. Cost of asset $100,000 8. First payment due 1/1/12 (at inception) 10.No collection or cost uncertainties for lessor What if the lessor’s implicit rate is NOT known to lessee? Find the PVMLP.
4c On January 1, 2012, Powell Trucking and Cummingham Diesel sign a lease with the following terms: 1. Term: 3 years 3. mplicit interest rate (NOT known to lessee) 10% 5. Fair value of asset $130,000 7. Incremental borrowing rate: 12% 9. Estimated useful life of asset: 5 years 11.Purchase option at end of lease: $2,500 2. Payments of $46,836 4. Est. fair value of asset at end of lease $5,000 6. Cost of asset $100,000 8. First payment due 1/1/12 (at inception) 10.No collection or cost uncertainties for lessor What if the fair value of the asset is $5,000 at end of the lease? Find the PVMLP.
Complications Initial Direct Costs Residual Values
Residual Value and MLP • Include guaranteed residual value of property when computing PVMLP • If guaranteed by lessee • If guaranteed by third party, only lessor includes as part of minimum lease payments • Unguaranteed residual value is NOT included in MLP Remember that the UnGRV is part of lessor’s receivable and therefore is included in the amortization table!
6 On 1/1/12, Micronomics Inc. and Ozark Oscillators entered into a lease with the following terms: • Term: 4 years • Payments of $83,099 • Implicit interest rate (known to lessee) 10% • Lessor retains ownership of asset at end of lease • Fair value of asset $300,000 • Cost of asset $250,000 • Incremental borrowing rate: 12% • First payment due 1/1/12 • Estimated useful life of asset: 5 years • No collection or cost uncertainties for lessor • Est. fair value of asset at end of lease: $15,000 • The residual value is guaranteed by a third party at a cost of $500 (initial direct cost)
6 Two different tables needed!
8 On October 1, 2012, Seiler Systems and Computer Leasing of America sign a lease with the following terms: 1. Term: 3 years 3. Implicit interest rate (NOT known to lessee) 10% 5. Fair value of asset $100,000 7. Incremental borrowing rate: 14% 9. Estimated useful life of asset: 5 years 11. Est. fair value of asset at end of lease: $10,000 2. Payments of $33,809 4. Lessor retains ownership of asset at end of lease 6. Cost of asset $100,000 8. First payment due 10/1/12 10. No collection or cost uncertainties for lessor 12. The residual value is NOT guaranteed by lessee
7 Example 7 - Lessor • Now we’re ready for the HARDEST type of journal entries: a sales-type lease with unguaranteed residual value • If there is an UnGRV, the lessor has not “sold” the entire asset • This means we need to reduce sales and cost of goods sold for the present value of the unGRV
More complications . . Lease Term Renewal Periods Executory Costs
Determining the Lease Term • Always ends at a bargain purchase option (including ordinary renewal periods up to BPO). • Includes renewal periods covered by • bargain renewal options • penalty large enough to assure renewal • renewal or extensions at option of lessor • guarantees by lessee of lessor's debt related to property IFRS has the same “rule” about the end of the lease term
Excluded from MLP • Exclude contingent rentals • Exclude all rental payments past date of bargain purchase option • Exclude renewal penalty big enough to assure renewal • Exclude executory costs paid by lessor: • maintenance • property taxes • insurance
11 On June 1, 2012, Fantasia Funnels, Inc. and Idaho First Bank sign a lease with the following terms: 1. Term: 4 years 3. Interest rate used to compute payments = 12% 5. Fair value of asset $200,000 7. Incremental borrowing rate: 14% 9. Estimated useful life of asset: 6 years 11. Est. fair value of asset at end of lease: $10,000 13. Initial direct costs to arrange lease: $3,000 2. Payments of $61,924 4. Cost of asset $200,000 6. First payment due 6/1/12 8. No collection or cost uncertainties for lessor 10. The payments include $5,000 for insurance. 12. The lessee can purchase asset for $10,000 at end of lease, otherwise, asset is returned to lessor.
Finding the Effective Interest Rate for Direct Financing Lease with IDC 11
11 Lessor Amortization Table
12 On January 1, 2012, Hells Gate Jet Boats and Washington Leasing Co. sign a lease with the following terms: • Term: 4 years with possible renewal (see #12) • Implicit interest rate (NOT known to lessee) 10% • Fair value of asset $200,000 • Incremental borrowing rate: 14% • Estimated useful life of asset: 6 years • The residual value is NOT guaranteed by lessee, asset is expected to be worth $25,000 at end of 4 years, and $15,000 at end of 5 years. • Payments of $49,523 • Lessor retains ownership of asset at end of lease • Cost of asset $200,000 • First payment due 1/1/12 • No collection or cost uncertainties for lessor • At the end of the lease, HGJB can renew for one more year at same annual amount of $49,523. This is certainly no bargain. There is a $15,000 penalty for non-renewal of the lease. However, this amount is probably not large enough to assure that HGJB will renew.
13 Inception = 1/1/12 1.Term: 4 years, with possible renewal (see #11) 3. Implicit interest rate (NOT known to lessee) 10% 5. Fair value of asset $260,000 7. Incremental borrowing rate: 12% 9. Estimated useful life of asset: 6 years 11. Lease can be renewed for one more year at $17,000. The actual value is probably $25,000. 13. There are no guarantees of residual value 2. Payments of $68,565 4 . Lessor retains title tothe asset at end of lease 6. Cost of asset $200,000 8. First payment due 1/1/12 10. No collection or cost uncertainties for lessor 12. Est. fair value of asset at end of original lease term is $35,000. It should be worth $15,000 at the end of 5 years.