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zhoou · 2022年07月14日

调整前NPV

NO.PZ2018101501000031

问题如下:

Company M has invested $20 million in fixed capital and another $5 million in working capital in a ten-year project. The equipment will be depreciated straight-line to zero over five years. It will generate additional annual revenues of $1.5 million and reduce annual cash operating expenses of $0.5 million. After ten years, the equipment will be sold for $3 million. The tax rate and the required rate of return are 25% and 10% respectively. However, after reappraising the project, the fixed capital investment will be adjusted downward by $2 million with no change in salvage value. What will happen on the project NPV?

选项:

A.

It will increase $2.38 million.

B.

It will decrease $1.62 million.

C.

It will increase $1.62 million.

解释:

C is correct.

考点:Cash Flow Projections: Expansion Project

解析固定资产投资下降$2 million,折旧会下降$0.4 million,相对应的depreciation tax saving会下降 0.25*($2 million/5) = $0.1 million

所以NPV最终会增加2 - t=150.11.1t\sum_{t=1}^5\frac{0.1}{1.1^t} = $1.62 million

请问老师我计算调整前NPV的式子哪里不对?CF0=-25 C01=2.5 F01=5 C02=1.5 F02=4 C03=9.5 F03=1 I=10

1 个答案

王琛_品职助教 · 2022年07月15日

嗨,努力学习的PZer你好:


C03,即第 10 年的总现金流 total net CF 不对,不是 9.5,而是 8.75

其中,OCF 同第 6 年至第 9 年,为 1.5,即 C02

第 10 年的 TNOCF 为 7.25,计算公式:WC+Sal-(Sal-B)*T=5+3-(3-0)*25%=7.25

所以第 10 年的总现金流,Total Net CF 为 OCF + TNOCF = 1.5 + 7.25 = 8.75

变化前的 NPV 等于 -9.2

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