这题的PV是怎么算出来的

问题如下：

Question

• Five annual lease payments of $25,000, with the first payment due 1 January of Year 1

• Interest rate on similar company debt is currently 8%

• The fair value of the equipment is $115,000

• Useful life of the equipment is seven years

• The company depreciates other equipment in the same asset class on a straight-line basis

The total expense related to the lease on the company’s income statement for Year 1 will be closest to:

A company that prepares its financial statements according to IFRS leased a piece of equipment on 1 January of Year 1. Information relevant to the transaction is as follows:

选项：

A.$22,024.00 B.$25,000.00 C.$28,185.00

解释：

Solution

1. Incorrect. It correctly classifies it as a finance lease but amortizes it over 7 years: 107,803/7 = 15,400; 15,400 + 6,624 = 22,024.

2. Incorrect. It assumes it is an operating lease and simply deducts the lease payment.

3. Correct. Under IFRS 16 all leases are classified as a finance lease and must be capitalized.

   Using a financial calculator for an annuity due at the beginning of the period:

   PV of lease payments: PMT = $25,000, i = 8%, N = 5, Mode = Begin, Compute PV.

   PV = $107,803

   Therefore, the lease would be capitalized at $107,803.

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