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C · 2022年01月25日

问题

NO.PZ2018101501000041

问题如下:

Company M, a pharmaceutical corporation, is investing $30 million in fixed capital and $10 million in working capital for a four-year expansion project. The fixed capital will be depreciated straight-line to zero over four years and it will generate annual revenues and annual cash operating expenses of $22 million and $8 million, respectively. The fixed assets are expected to be sold for $5 million and the working capital investment will be recovered at the end of the project. The tax rate is 25%. What’s the IRR for the project?

选项:

A.

9.10%

B.

15.38%

C.

18.43%

解释:

C is correct.

考点:Risk Analysis

解析:项目每年的现金流如下:CF0 = -$40 million

CF1 = CF2 = CF3 = (S – C – D)(1 – T) + D = (22-8-7.5)*(1-25%)+7.5 = $12.375 million

CF4 = After-tax operating CF+ TNOCF = $26.125 million

求得IRR = 18.43%

CF4=26.125 怎么算出来的可以详细列一下吗

1 个答案
已采纳答案

王琛_品职助教 · 2022年01月26日

嗨,爱思考的PZer你好:


CF4 = After-tax operating CF+ TNOCF

其中,前者为 12.375,计算方法解析里面已经详细列出来了

TNOCF = WCInv + salT - t (salT-BT)

因为题目已知固定资产 4 年折旧到零,所以 BT=0, 所以 salT-t(salT-BT) = salT-t(salT-0) = salT(1-T) = 10+5(1-25%) = 13.75

所以,CF4 = 12.375+13.75 = 26.125

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