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浪枫 · 2021年03月13日

为什么要用8万减去NPV的变化值呢?

NO.PZ2018101501000002

问题如下:

The fixed capital investment will be adjusted downward by $80,000 after reappraising the project`s NPV. The fixed capital investment is depreciated straight-line over four years. The tax rate and the required rate of return are 20% and 15% respectively. All other things remain the same, such as annual revenues, cash operating expenses and salvage value. What may happen on the project`s NPV?

选项:

A.

$80,000 increase

B.

$68,580 increase

C.

$22,900 increase

解释:

B is correct.

考点:Cash Flow Projections:Expansion project

解析固定资产投资下降$80,000,相对应的depreciation tax saving会下降 0.2*($80,000/4) =$4,000.

所以NPV最终会增加80,000 - t=1440001.15t\sum_{t=1}^4\frac{4000}{1.15^t} = $68,580.

既然固定资产价值减少8万,直接算出折旧的变化量折现不就是NPV的变化值么

1 个答案

王琛_品职助教 · 2021年03月14日

嗨,从没放弃的小努力你好:


- NPV 的变化还包括期初哦

- 可以把项目的现金流,根据时间,分为:期初、期间和期末

- 折旧变化,影响的是期间和期末的现金流;但是固定资产投资减少,还影响期初现金流呀

- Initial outlay = – FCInv – NWCInv

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