3) A firm considers to buy a new machine whose expected lifetime is 6 years. The cost of the machine is $ 3 000 000 which is paid in 2020. The expected cash flows of this investment are as follows: 2021: $ 700 000 2022: $ 800 000 2023: $ 1 200 000 2024: $ 1 300 000 2025: $ 900 000 2026: $ 600 000 a) Find the net present value of this investment using a discount rate of 18% b) Should the firm accept or reject this investment (write accept or reject as your answer)? c) What is the expected contribution of that investment to the value of the firm (give a numerical answer) ? d) Find the pl value (profitability index) using the cost of investment and the expected cashflows of this problem and mention if the investment is accepted or rejected