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 A lessee enters into a five-year lease of a building which has a remaining useful life of ten years. Lease payments are $50,000 per annum, payable at the beginning of each year. The lessee incurs initial direct costs of $20,000 and receives lease incentives of $5,000. There is no transfer of the asset at the end of the lease and no purchase option. The interest rate implicit in the lease is not immediately determinable but the lessee's incremental borrowing rate is 5%. At the commencement date the lessee pays the initial $50,000, incurs the direct costs and receives the lease incentives. The lease liability is measured at the present value of the remaining four payments:

Question

A lessee enters into a five-year lease of a building which has a remaining useful life of ten years. Lease payments are 50,000perannum,payableatthebeginningofeachyear.Thelesseeincursinitialdirectcostsof50,000 per annum, payable at the beginning of each year. The lessee incurs initial direct costs of 20,000 and receives lease incentives of 5,000.Thereisnotransferoftheassetattheendoftheleaseandnopurchaseoption.Theinterestrateimplicitintheleaseisnotimmediatelydeterminablebutthelesseesincrementalborrowingrateis5Atthecommencementdatethelesseepaystheinitial5,000. There is no transfer of the asset at the end of the lease and no purchase option. The interest rate implicit in the lease is not immediately determinable but the lessee's incremental borrowing rate is 5%. At the commencement date the lessee pays the initial 50,000, incurs the direct costs and receives the lease incentives. The lease liability is measured at the present value of the remaining four payments:

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Solution

To calculate the lease liability, we need to find the present value of the remaining four payments.

Step 1: Identify the cash flows. The lease payments are $50,000 per year for the next four years.

Step 2: Identify the discount rate. The lessee's incremental borrowing rate is 5%.

Step 3: Use the formula for the present value of an annuity to calculate the lease liability. The formula is PV = Pmt * [(1 - (1 + r)^-n) / r], where PV is the present value, Pmt is the annual payment, r is the discount rate, and n is the number of periods.

Substituting the given values into the formula, we get:

PV = $50,000 * [(1 - (1 + 0.05)^-4) / 0.05]

This will give us the present value of the remaining lease payments, which is the lease liability at the commencement date.

Note: The initial direct costs and lease incentives are not included in the calculation of the lease liability. They are accounted for separately.

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