In: Accounting
(A) Modern Ltd has decided to lease a plant from a supplier and
has agreed the following terms with the supplier:
Date of inception of lease: 1 July 2019
Duration of lease: 10 years
Life of leased asset: 10 years
Unguaranteed residual value: $15,000
Lease payments: 10,000 at lease inception and $12,000 on 30 June
each year for the next 10 years.
Fair value of leased plant at date of lease inception:
$97,469
i. Determine the interest rate implicit in the lease (show detailed
workings).
ii. Provide a journal to recognise the lease liability at inception
of the lease.
(i) From the point of view of lessee, | $ | |||||
Fair Value of Lease assets (As pv of Minimum lease payment) | 97,469 | |||||
Less: Payment at inception | -10,000 | |||||
87,469 | ||||||
Equal lease payment at the end of each year 30 june each year | 12,000 | |||||
PVIFA (Cumulative, n= 10 year at $ 12,000, PV of MPL= $ 87,469) | 7.289 | |||||
(87469/12000) | Rough working | |||||
So, Interest rate for 10 year to come at present value of $ 87,469 with PVIFA of 7.29 is | 6.21% | @ | ||||
Year | 6.21 | % | ||||
1 | 0.942 | |||||
(ii) | 2 | 0.886 | ||||
$ | $ | 3 | 0.835 | |||
Lease Asset | 87,469 | 4 | 0.786 | |||
Lease Liability | 87,469 | 5 | 0.740 | |||
(Being lease liability recognised) | 6 | 0.697 | ||||
7 | 0.656 | |||||
8 | 0.618 | |||||
9 | 0.581 | |||||
10 | 0.547 | 7.287 |