开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

johnny · 2021年04月24日

有个关键问题没人问到,那就是为何TNOCF+OCF是加上1.5?

NO.PZ2018101501000029

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. What’s the NPV of the project?

选项:

A.

-$6.41 million

B.

-$9.20 million

C.

-$11.99 million

解释:

B is correct.

考点:Cash Flow Projections: Expansion Project

解析:

首先,计算各期现金流:

Initial outlay = – FCInv – NWCInv = -20-5 = -25

OCF(1-5) = (S-C-D)(1-T)+D = [1.5-(-0.5)-4](1-0.25)+4 = 2.5

OCF(6-10) = (S-C-D)(1-T)+D = [1.5-(-0.5)](1-0.25) = 1.5

TNOCF = Sal10 +NWCInv - T(Sal10 - B10) = 3 + 5 - 0.25*(3-0) = 7.25

Total Net CF = 1.5+7.25=8.75

然后,按计算器:

清零 (CLR WORK)

- CF0 = -25

- C01 = 2.5 (对应第一年到第五年的 OCF) ,F01 = 5

- C02 = 1.5 (对应第六年到第九年的 OCF), F02 = 4

- C03 = 8.75 (对应第十年的 Total net CF, 1.5+7.25),F03 = 1

- I = 10

- NPV = -9.197174

为何TNOCF+OCF是加上1.5?1.5是6-10年的OCF,为何只加上这个1.5?而前面1-5年不管了?请老师解答这个问题比较关键。谢谢

1 个答案
已采纳答案

王琛_品职助教 · 2021年05月01日

嗨,爱思考的PZer你好:


前五年的 OCF 和后五年的 OCF 不同,因为 OCF 的计算公式中,折旧 D 不同。

题干说了 "The equipment will be depreciated straight-line to zero over five years"

设备账面价值 20,直线折旧法,5 年折旧到 0,所以前五年,每年折旧是 4

后五年,不用折旧了,所以折旧是 0

期末的 Total Net CF,是 TNOCF+OCF,OCF 是当期的 OCF,即项目第十年的 OCF,用折旧为 0,代入计算得出的 OCF,是 1.5

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!