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Sofia nice · 2023年09月22日

有点糊涂

NO.PZ2017102901000056

问题如下:

A company is comparing straight-line and double-declining balance amortization methods for a non-renewable six-year license, acquired for €600,000. The difference between the Year 4 ending net book values using the two methods is closest to:

选项:

A.

€81,400.

B.

€118,600.

C.

€200,000.

解释:

A is correct.

As shown in the following calculations, at the end of Year 4, the difference between the net book values calculated using straightline versus double-declining balance is closest to €81,400.

Net book value end of Year 4 using straight-line method = €600,000 – [4× (€600,000/6)] = €200,000.

Net book value end of Year 4 using double-declining balance method = €600,000 (1–33.33%)4 ≈ €118,600.

老师讲课的时候,加速折旧哪里举得例子,也是余额基础上再折,怎么现在变成原值折旧了呢?不是应该减去每年折掉的,再往下折吗

1 个答案

王园圆_品职助教 · 2023年09月22日


同学你好,这是数学问题,推导一下就可以得到解析的答案的

首先,双倍余额递减法在这里的折旧率是2/6 = 33.33%

第一年折旧后余额=600000-60000*33.33% = 600000*(1-33.33%)

第二年折旧后余额 = 600000*(1-33.33%)-600000*(1-33.33%)*33.33% = 600000*(1-33.33%)^2

从上面的推导可以看出,4年以后的折旧后余额 = 600000*(1-33.33%)^4


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