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Spencer · 2020年04月19日

问一道题:NO.PZ201601200500001004

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问题如下:

4. A switch from straight-line to accelerated depreciation would:

选项:

A.

increase the NPV and decrease the first year operating income after taxes.

B.

increase the first year operating income after taxes and decrease the NPV.

C.

increase both the NPV and first year operating income after taxes.

解释:

A is correct.

Accelerated depreciation shifts depreciation expense toward the earlier years so that first-year operating income after taxes will be lower. However, because depreciation is a noncash expense, it must be added back to operating income after taxes in order to obtain after-tax operating cash flow. This process shifts cash flows from later years to earlier years, increasing the NPV.

老师请问,为何计算NPV时,早期的现金流折现因子更大,配以的权重更大,因此早期的现金流对NPV的影响更大?折现因子是谁决定的?

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已采纳答案

Debrah_品职答疑助手 · 2020年04月20日

同学你好,从这道题目来说,首先,operating income after taxes=EBIT*(1-T)=(S-C-D)*(1-T)。从直线折旧改为加速折旧,第一年的D增加, operating income after taxes 减少。其次,计算NPV的分子是OCF,折现率是WACC,OCF=(S-C)*(1-t)+D*T,D增加带来OCF增加,从而带来NPV的提升。

针对你的问题,譬如WACC=10%,NPV=-CF0+ΣOCF(i)/(1+WACC)^n,第一年的折现率是(1+10%)=1.1,第二年的折现率是(1+10%)^2=1.21;第一年的折现因子就是1/1.1=0.9091,第二年的折现因子是0.8264。所以早期的现金流对NPV的影响更大。

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NO.PZ201601200500001004 老师好, 想请问“first-yeoperating income after taxes”的公式是什么?是EBIT*(1-T)吗?也就是(Sales-COGS-SG&A-p)*(1-T)吗? 谢谢老师

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