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Clare · 2021年06月01日

老师好这题是什么意思?

NO.PZ2016021706000011

问题如下:

A firm is planning to construct a $ 10,000 production line. Assume the cost of capital is 10% and the plan's useful life is 4 years, given the cash flows for this plan:

Which of the following statements about the plan is least likely correct?

选项:

A.

The discounted payback period is 2.33 years.

B.

The NPV of the project is +$1,471.21; accept the project.

C.

The IRR of the project is17.80%; accept the project.

解释:

A is correct.

CF0=10,000CF_0=-10,000

PVCF1=5,0001.10=4,545.45    PVCF_1=\frac{5,000}{1.10}=4,545.45\;\;

PVCF2=4,0001.102=3,305.79PVCF_2=\frac{4,000}{1.10^2}=3,305.79

PVCF3=3,0001.103=2,253.94PVCF_3=\frac{3,000}{1.10^3}=2,253.94

PVCF4=2,0001.104=1,366.03PVCF_4=\frac{2,000}{1.10^4}=1,366.03

CF after year 2 = -10,000+4545.45+3305.79= -2148.76

2148.76/2253.94=0.9533

So, the discounted payback period of 2.95 years.

老师好请问这题什么意思,题干和问题没看懂,谢谢

1 个答案

王琛_品职助教 · 2021年06月01日

嗨,爱思考的PZer你好:


公司计划构建一条生产线,期初投资 10000,折现率 10%,项目为期 4 年,期间现金流如表格所示。

问下列关于项目的 折现回收期、NPV、IRR 的说法,哪个最不正确

其中 NPV 和 IRR,可以通过按计算器得出:NPV = 1,471.21,IRR = 17.80%,选项 B 和 C 都是正确的,所以不选

折现回收期的结果是 2.95 年,算法请见解析,选项 A 不正确,所以这道题选 A


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