Question

ZYZ Inc. is considering a project with the following cash flows: Year Cash Flow (CF) 0 -$200,000 1 $30.000 2 $40,000 3 $50,00

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Answer #1

First question is being answered here:

1. Option (a) is correct

Net Present value (NPV) is the present value of future cash inflows minus the initial investment.

First we will calculate the present value of cash inflows as per below:

Here we will use the following formula:

PV = FV / (1 + r%)n

where, FV = Future value, PV = Present value, r = rate of interest = 5%, n= time period

For calculating the present value the given cash flows, we will calculate the present values of all the years and add them up. Now,putting the values in the above equation, we get,

PV = $30000 / (1 + 5%)+ $40000 / (1 + 5%)2 + $50000 / (1 + 5%)3 + $60000 / (1 + 5%)4 + $70000 / (1 + 5%)5

PV = $30000 / (1 + 0.05)+ $40000 / (1 + 0.05)2 + $50000 / (1 + 0.05)3 + $60000 / (1 + 0.05)4 + $70000 / (1 + 0.05)5

PV = $30000 / (1.05)+ $40000 / (1.05)2 + $50000 / (1.05)3 + $60000 / (1.05)4 + $70000 / (1.05)5

PV = $28571.43+ ($40000 / 1.1025) + ($50000 / 1.57625) + ($60000 / 1.21550625) + ($70000 / 1.27628)

PV = $28571.43 + $36281.18 + $43191.88 + $49362.15 + $54846.90

PV = $212253.47

So, required present value is $212253.47

Initial investment = $200000

Net present value (NPV) = Present value of cash flows - Initial investment

Net Present value (NPV) = $212253.47 - $200000 = $12253.47

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