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CFA一定过! · 2023年11月08日

DDB

NO.PZ2018062018000056

问题如下:

Company M uses the double-declining balance method to amortize a $120,000 patent, which has a useful life of 4 years. If it shifts to straight-line method, the net book value at the end of Year 3 will witness a difference of:

选项:

A.

$15,000 

B.

$10,000 

C.

$30,000 

解释:

A is correct.

Net book value at the end of Year 3 based on straight-line method =$120,000 - ($120,000×3/4) = $30,000

Net book value at the end of Year 3 based on double-declining balance method = $120,000×(1–0.5)3 = $15,000

The difference = $30,000 - $15,000 = $15,000

0.5是怎么来的 DDB的公式讲解一下

1 个答案

lynn_品职助教 · 2023年11月09日

嗨,从没放弃的小努力你好:


这是之前年度的考点,本年已经删除该知识点了,这道题可以忽略下面的讲解,也可以当做一个知识的补充。


这道题目的意思是如果一家公司对一个120,000 的专利一个是用双倍余额递减法,一个是用直线法摊销。折旧期都是四年的情况下,这两种方法下下第三年的book value的差异是什么样的


直线法的话,第三年年末,还剩1/4 =$30,000。


DDB的公式是:


第n年的折旧=前一年年末余额/使用年限*2


这道题中,双倍余额递减法:

第一年的时候余额为120,000-120,000/4*2=60,000。

第二年的时候余额为60,000-60,000/4*2= 30,000。

第三年的折旧,因为是最后两年,所以平均分配 =30,000/2 = 15,000。余额为15,000

所以第一种方法和第二种方法的差异是$30,000 - $15,000 = $15,000



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ditto · 2024年11月02日

“因为是最后两年,所以平均分配”-- DDB都是这样算的吗,只要对最后两年只平均,不加速

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