Question

In: Finance

You are considering an investment with the following cash flows. Your required return is 8%, you...

You are considering an investment with the following cash flows. Your required return is 8%, you require a payback of 3 years and a discounted payback of 4 years. If your objective is to maximize your wealth, should you take this investment?
Year 0 1 2 3 4 5
Cash Flow –$50,000 $20,000 $20,000 $20,000 $20,000 –$50,000

Yes, because the payback is 2.5 years.

Yes, because the discounted payback is less than 4 years.

Yes, because both the payback and the discounted payback are less than 2 years.

No, because the NPV is negative.

No, because the project cash flows are not conventional.

Solutions

Expert Solution

No, because the NPV is negative

refer table below

Discount rate 8.0000%
Cash flows Year Discounted CF= cash flows/(1+rate)^year Cumulative cash flow
           (50,000.000) 0                           (50,000.00)                       (50,000.00)
             20,000.000 1                             18,518.52                       (31,481.48)
             20,000.000 2                             17,146.78                     (14,334.705)
             20,000.000 3                             15,876.64                          1,541.940
             20,000.000 4                             14,700.60                          16,242.54
           (50,000.000) 5                           (34,029.16)                       (17,786.62)

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