Final answer:
To determine if the investment is satisfactory, calculate the present value of the cash flows and compare it to the initial cost. In this case, the present value is greater than the initial cost, indicating a satisfactory investment.
Step-by-step explanation:
To determine if the investment is satisfactory, we need to calculate the present value of the cash flows generated by the drilling rig and compare it to the initial cost. Given that the drilling rig is leased for 8 years with an annual payment of $750,000, we can calculate the present value using the formula:
Present Value = Payment / (1 + r)^n
Where r is the discount rate and n is the number of years. Since the after-tax MARR is 20%, the discount rate will be 1 - 0.2 = 0.8. Plugging in the numbers, we get:
Present Value = $750,000 / (1 + 0.8)^8 = $750,000 / 3.058^8 = $1,02,512.71
The present value of the cash flows is greater than the initial cost of $2,000,000, meaning that the investment appears to be satisfactory.