A company would like to invest in a project. The investment cost are $100,000 at the beginning of the first period, $75,000 more athe bigging of the third period, and $80,000 more at the beginning of the fourth period. The project has a 10-period useful life. The ash inflows at the end of period 4 through 10 are $20,000, $60,000, $80,000, $90,000, $120,000. $150,000, and $200,000, respectively. The cost of capital in period 1 through period 10 is 11%. The net present value of the project is $ __________. Please show me how to calculate the periods step by step.

R = 11%
Present value of investment cost = 100000 + 75000/(1+11%)^2 + 80000/(1+11%)^3
Present value of investment cost = $219367
Present value of cash inflows = 20000/(1+11%)^4 + 60000/(1+11%)^5 + 80000/(1+11%)^6 + 90000/(1+11%)^7 + 120000/(1+11%)^8 + 150000/(1+11%)^9 + 200000/(1+11%)^10
Present value of cash inflows = $316049
So,
Net present value of the project = Present value of cash inflows – Present value of investment cost
Net present value of the project = 316049 – 219367
Net present value of the project = $96682
 
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