Brewster’s is considering a project with a 5-year life and an initial cost of $120,000. The discount rate for the project is 12 percent. The firm expects to sell 2,100 units a year at a net cash flow per unit of $20. The firm will have the option to abandon this project after three years at which time it could sell the project for $50,000. The firm is interested in knowing how the project will perform if the sales forecasts for Years 4 and 5 of the project are revised such that there is a 50 percent chance the sales will be either 1,400 or 2,500 units a year. What is the net present value of this project given these revised sales forecasts

NPV = $27,792

Explanation:

Net Present Value = Present Value of Future Cash Flows - Initial Investments

To compute the Present value of Future Cash Flows, we need to first compute the cash inflows during the life of the project:

Year 1: 2,100 * 20 = $42,000

Year 2: 2,100 * 20 = $42,000

Year 3: 2,100 * 20 = $42,000

The units of Year 4 and Year 5 are calculated as follows:

⇒ (0.5 * 1,400) + (0.5 * 2,500) = 1,950 units

Year 4: 1,950 * 20 = $39,000

Year 5: 1,950 * 20 = $39.000

Now, discount the cash inflows at a rate of 12% to calculate the Present Value of Future Cash Flows

⇒ 42,000 + 42,000+ 42,000 + 39,000 + 39,000

     (1.12)^1      (1.12)^2   (1.12)^3    (1.12)^4      (1.12)^5

⇒  37,500 + 33,482 + 29,895 + 24,785 + 22,130  

⇒ $147,792

Net Present Value = Present Value of Future Cash Flows - Initial Investments

NPV = 147,792 - 120,000

NPV = $27,792

if you use only 25 for your entertainment and only 200 for the groceries that you really need and take out the 50 per month for the computer then that should be enough