At December 31, 2017, Moonlight Bay had a 10% installment note payable to Third Mercantile Bank with a balance of $610,000. The annual payment is $115,000, payable each June 30. On January 1, 2018, Moonlight Bay leased a building under a finance lease calling for four annual lease payments of $40,000 beginning January 1, 2018. Moonlight Bay’s incremental borrowing rate on the date of the lease was 9% and the lessor’s implicit rate, which was known by Moonlight Bay, was 8%.Calculate interest expense for the year ended December 31, 2018.

Respuesta :

Answer:

Total Interest expense accrued for December 31th 2018: 39.612,66‬

Explanation:

Interest expense for Year ended December 31th, 2018

accrued Third Mercantile Bank note payable:

principal x rate x time

610,000 x 10% x 6/12 = 30,500 interest expense

Lease interest expenses:

We must determinate the value of the lease and then the interest accrued for the year:

Present value of the lease:

[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]

C 40,000.00

time 4

rate 0.09

[tex]40000 \times \frac{1-(1+0.09)^{-4} }{0.09} = PV\\[/tex]

PV $141,251.7866

carrying value after first payment:

141,251.79 - 40,000 = 101,251.79

interest expense accrued from Jan 1st to December 31th

101,251.79 x 9% = 9,112.66

Total interest expense: 30,500 + 9,112.66 = 39.612,66‬