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咖喱cfa · 2024年02月04日

能解释一下需要掌握多少种用到BASE法则的情景吗

NO.PZ2023081403000156

问题如下:

Silverago Incorporated, an international metals company, reported a loss on the sale of equipment of $2 million. In addition, the company’s income statement shows depreciation expense of $8 million and the cash flow statement shows capital expenditure of $10 million, all of which was for the purchase of new equipment. Using the following information from the comparative balance sheets, how much cash did the company receive from the equipment sale?


选项:

A.

6 milion

B.

5 milion

C.

1 milion

解释:

Selling price (cash inflow) minus book value equals gain or loss on sale; therefore, gain or loss on sale plus book value equals selling price (cash inflow). The amount of loss is given, $2 million. To calculate the book value of the equipment sold, find the historical cost of the equipment and the accumulated depreciation on the equipment.

Beginning balance of equipment of $100 million plus equipment purchased of $10 million minus ending balance of equipment of $105 million equals the historical cost of equipment sold, or $5 million.

Beginning accumulated depreciation of $40 million plus depreciation expense for the year of $8 million minus ending balance of accumulated depreciation of $46 million equals accumulated depreciation on the equipment sold, or $2 million.

Therefore, the book value of the equipment sold was $5 million minus $2 million, or $3 million.

Because the loss on the sale of equipment was $2 million, the amount of cash received must have been $1 million.

BASE法则

1 个答案

王园圆_品职助教 · 2024年02月04日

同学你好,你是想问本题用到的BASE法则,还是整个FSA这门课用到的BASE法则?

如果是整本FSA的BASE法则,助教这里是没有相关整理的,同学如果到相关章节有遇到使用BASE法则但不理解的,可以就题目进行提问,如果是本题,助教可以总结给你


首先,本题最大的也是最最复杂的BASE法则就是:期初固定资产carrying value + 本期新增资产(purchase也就是CAPEX)-本期卖出的资产(也就是disposal 或者sale的资产的)carrying value -本期折旧费用(来自I/S表的折旧费用项目)= 期末固定资产carrying value

其中,资产的carrying value = 资产原值-累计折旧,以2005年为例,就是100-40 =60就是期初资产的carrying value,期末资产carrying value计算也是同理

运用上述粉色公式,带入题干中的capital expenditure of $10 million,depreciation expense of $8 million,以及通过表格计算的期初期初的资产carrying value就能计算本期卖出的资产,也就是disposal 或者sale的资产的carrying value

运用sale 资产carrying value - cash received from the equipment sale =gain/loss on sale of equipment 就可以得到本题答案


当然,本题其实还隐藏一个BASE法则,就是期初的累计折旧+本期新增的折旧=期末累计折旧——但是这个公式其实本题用不到


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