A factory costs $400,000. You forecast that it will produce cash inflows of $120,000 in year 1, $180,000 in year 2, and $300,000 in year 3. The discount rate is 12%. a. What is the value of the factory? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Respuesta :

Answer:

Value of factory =  $64,220

Explanation:

Here, for the given information,

To calculate value of factory we will calculate the Net Present Value.

Net Present Value = Present value of cash inflows - Present value of cash outflow.

Present value of cash outflow = Cost of factory today = $400,000

Discounting factor @ 12% for each year shall be

Year 1 = [tex]\frac{1}{(1+0.12)^1} = 0.893[/tex]

Year 2 = [tex]\frac{1}{(1+0.12)^2} = 0.797[/tex]

Year 3 = [tex]\frac{1}{(1+0.12)^3} = 0.712[/tex]

Therefore, present value of cash inflows = [tex](120,000 \times 0.893) + (180,000 \times 0.797) + (300,000 \times 0.712) = 464,220[/tex]

Net Present Value = Value of factory =  $464,220 - $400,000 = $64,220