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 2023. The expected cash flows of this investment are as follows: 2024: $700 000 2025: $800 000 2026: $1200000 2027: $1300 000 2028: $ 900 000 2029: $ 600 000 a) Find the net present value of this investment using a discount rate of 18% h 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 PI value (profitability index) using the cost of investment and the expected cashflows of this problem and mention if the investment is accepted or rejected.