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Amy_ywh · 2023年11月07日

所以如果两个项目是mutually exclusive就需要用NPV 么?

NO.PZ2022090804000022

问题如下:

The incremental after-tax cash flows (in € thousands) and information on two mutually exclusive projects are as follows:


The appropriate hurdle rate to use in evaluating the projects is 15.0%. Which of the following statements is most accurate? The company should accept:

选项:

A.Both projects. B.Project Y only. C.Project X only.

解释:

Solution

B is correct. The NPV (in € thousands) and IRR of Project Y are calculated as follows:


Because these projects are mutually exclusive, only one can be undertaken: It should be Project Y, which has the highest NPV and thus increases shareholder wealth the most. Both projects’ IRRs exceed the hurdle rate, and the IRR of Project Y exceeds that of Project X. The decision, however, should be based on the superior NPV of Project Y.

A is incorrect. Both NPVX and NPVY are positive, but because they are mutually exclusive projects, only the one with higher positive NPV will be chosen.

C is incorrect because these projects are mutually exclusive and only one can be undertaken: It should be Project Y, which has the highest NPV and thus increases shareholder wealth the most. Both projects’ IRRs exceed the hurdle rate, and the IRR of Project Y exceeds that of Project X. The decision, however, should be based on the superior NPV of Project Y.

既然两个NPV都大于零 为什么不能投资both呢?

1 个答案

王琛_品职助教 · 2023年11月07日

嗨,努力学习的PZer你好:


1

因为表格下面一行的题干背景,强调了这两个是互斥项目 The two projects are mutually exclusive

也就是说只能二选一,不能既要也要哈

2

所以解题思路就是看哪个项目的 NPV 更大

项目 X 的 NPV,表格已提供数据,不用计算

只需要计算项目 Y 的 NPV 即可

3

也请参考参考基础班讲义墨迹版 P255

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