Final answer:
a. The accounting rate of return is 16.67%. b. The payback period is 6 years. c. The net present value is $109,147. d. The NPV with a 12% hurdle rate is $7,964. e. The equipment's internal rate of return falls within the range of 8% to 12%.
Step-by-step explanation:
a. The accounting rate of return is calculated by dividing the average annual net income by the initial investment. In this case, the average annual net income is $200,000 and the initial investment is $1,200,000. Therefore, the accounting rate of return is 200,000/1,200,000 = 0.1667 or 16.67%.
b. The payback period is the length of time it takes to recover the initial investment. In this case, the initial investment is $1,200,000 and the annual cash flow increase is $200,000. Therefore, the payback period is 1,200,000/200,000 = 6 years.
c. The net present value (NPV) is calculated by discounting the expected cash flows to their present value and subtracting the initial investment. In this case, using an 8% discount rate, the present value of the cash flows is $1,309,147 and the initial investment is $1,200,000. Therefore, the NPV is 1,309,147 - 1,200,000 = $109,147.
d. With a 12% hurdle rate, the NPV would be calculated using the same formula as in part c. The present value of the cash flows would be $1,207,964 and the initial investment is still $1,200,000. Therefore, the NPV would be 1,207,964 - 1,200,000 = $7,964.
e. Based on the NPV calculations, the equipment's internal rate of return (IRR) would fall within the range of 8% to 12%. The IRR is the discount rate that makes the NPV equal to zero. If the hurdle rate is between 8% and 12%, then the equipment's IRR would also fall within that range.