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The information below is for both Questions 6 and 7. Small Ltd signed a 3-year contract with Big Ltd for the use of a machinery on 1 July 2022 with the option to purchase the machinery at the end of the lease term. It is reasonably expected that Small Ltd will exercise the bargain purchase option. The leased machinery meets the criteria of a leased asset in accordance with AASB16 Leases. The following information shows the lease terms: Lease term (non-cancellable) 3 years Expected useful life of the machinery 8 years Expected residual value of the machinery $5,000 Residual value guaranteed $40 000 Expected fair value of the machinery at the end of lease term $50 000 Bargain purchase price at the end of lease term $60 000 Net initial directly attributable costs (paid at 1 July 2022) $10 000 Initial lease payment (paid at 1 July 2022) $30 000 Annual lease payment (paid in arrears at 30 June) $80 000 Annual maintenance & insurance included in the annual lease payment $10 000 Interest rate implicit in the lease 10% p.a. Required: How much initial lease liability that Small Ltd. should recognise on 1 July 2022 (rounded to the nearest dollar) in accordance with the requirements of AASB 16 Leases?

Question

The information below is for both Questions 6 and 7.

Small Ltd signed a 3-year contract with Big Ltd for the use of a machinery on 1 July 2022 with the option to purchase the machinery at the end of the lease term. It is reasonably expected that Small Ltd will exercise the bargain purchase option. The leased machinery meets the criteria of a leased asset in accordance with AASB16 Leases. The following information shows the lease terms:

Lease term (non-cancellable)

3 years

Expected useful life of the machinery

8 years

Expected residual value of the machinery

$5,000

Residual value guaranteed

$40 000

Expected fair value of the machinery at the end of lease term

$50 000

Bargain purchase price at the end of lease term

$60 000

Net initial directly attributable costs (paid at 1 July 2022)

$10 000

Initial lease payment (paid at 1 July 2022)

$30 000

Annual lease payment (paid in arrears at 30 June)

$80 000

Annual maintenance & insurance included in the annual lease payment

$10 000

Interest rate implicit in the lease

10% p.a.

Required:

How much initial lease liability that Small Ltd. should recognise on 1 July 2022 (rounded to the nearest dollar) in accordance with the requirements of AASB 16 Leases?

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Solution

To calculate the initial lease liability, we need to follow these steps:

  1. Calculate the present value of the lease payments. The lease payments are 80,000peryearfor3years,but80,000 per year for 3 years, but 10,000 of this is for maintenance and insurance, so the actual lease payment is $70,000. The interest rate is 10%. The present value of an annuity formula is used here which is:

    PV = Pmt * [(1 - (1 + r)^-n) / r]

    Where: PV = Present Value Pmt = Periodic payment (annual lease payment) r = Interest rate per period (interest rate implicit in the lease) n = Number of periods (lease term)

    Substituting the given values:

    PV = 70,000[(1(1+0.10)3)/0.10]PV=70,000 * [(1 - (1 + 0.10)^-3) / 0.10] PV = 70,000 * [2.486852] PV = $174,079.64

  2. Add the present value of the bargain purchase option. This is the price Small Ltd will pay at the end of the lease term to purchase the machinery. It is discounted back to the present using the same interest rate.

    PV = 60,000/(1+0.10)3PV=60,000 / (1 + 0.10)^3 PV = 60,000 / 1.331 PV = $45,067.35

  3. Add the initial lease payment made on 1 July 2022.

    Lease Liability = PV of Lease Payments + PV of Bargain Purchase Option + Initial Lease Payment Lease Liability = 174,079.64+174,079.64 + 45,067.35 + 30,000LeaseLiability=30,000 Lease Liability = 249,146.99

So, the initial lease liability that Small Ltd. should recognise on 1 July 2022 is $249,147 (rounded to the nearest dollar).

This problem has been solved

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