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The management of Penfold Corporation is considering the purchase of a machine that would cost $270,000, would last for 5 years, and would have no salvage value. The machine would reduce labor and other costs by $60,000 per year. The company requires a minimum pretax return of 12% on all investment projects. The net present value of the proposed project is closest to:______.
a. $(11,700).
b. $(53,700).
c. $(269,997).
d. $(113,700).

Sagot :

facundobuzzetti

Answer:

The correct answer is B.

Explanation:

Giving the following information:

Initial investment= $270,000

Cash flow= $60,000

Number of years= 5

Discount rate= 12%

To calculate the net present value (NPV), we need to use the following formula:

NPV= -Io + ∑[Cf/(1+i)^n]

∑[Cf/(1+i)^n]:

Cf1= 60,000/1.12= 53,571.43

Cf2= 60,000/1.12^2= 47,831.63

.....

Cf5= 60,000/1.12^5= 34,045.61

∑[Cf/(1+i)^n]= 216,286.57

Now, the NPV:

NPV= -270,000 + 216,286.57

NPV= -53,713.43

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