HOW TO USE: Select any input box. Answer will be automatic

You would like to make decision to fund the project or reject it. You are using the net present value ( NPV ) to help you in making decision. If the NPV is positive you will proceed to fund the project. If the NPV is negative you will reject the project.

Year = 0, means initial expected expenses to fund the project

The discount rate is at % for year,
and your initial cash expenses $ at the end of year.
Initial cash flow expenses to fund the project =

Year = 1, means projected income after first year of the project

The discount rate is at % for year,
and projected income for first year $
at the end of year.
Present value of cash flow income =

Year = 2, means projected income after second year of the project

The discount rate is at % for year,
and projected income for second year $
at the end of year.
Present value of cash flow income =

Year = 3, means projected income after third year of the project

The discount rate is at % for year,
and projected income for third year $
at the end of year.
Present value of cash flow income =

Year = 4, means projected income after fourth year of the project

The discount rate is at % for year,
and projected income for fourth year $
at the end of year.
Present value of cash flow income =

Year = 5, means projected expenses after fifth year of the project

The discount rate is at % for year,
and projected expenses for fourth year $
at the end of year.
Present value of cash flow projected expenses =

The NPV formula is telling you to add all the projected expenses or income at 12% borrowing rate
Year 0 = -165,000 +
Year 1 present worth value of income projected at present using 12% borrowing rate = 56,357 +
Year 2 present worth value of income projected at present using 12% borrowing rate = 56,441 +
Year 3 present worth value of income projected at present using 12% borrowing rate = 64829 +
Year 4 present worth value of income projected at present using 12% borrowing rate = 28,598 +
Year 5 present worth value of expenses projected at present using 12% borrowing rate = -28,384

After simply adding the total expenses and income projected at present value using bank borrowing rate of 12% you will get the Net Present Value of the money. Usually the bank rate is lock for the year of the project so there is no uncertainty. If the bank interest rate is fluctuating there is no certainty, some money lender will add safety factor by offering higher interest rate. Example is the personal loan lender, when they fund a borrower with no collateral there is no certainty that they can get some portion of the principal money that they approved for a personal loan. So they add safety factor by using higher interest rate so they can collect faster their money. When unfortunate event happens to a borrower towards the end of their loan period, they probably collected their principal plus earned interest.

Net Present Value (NPV) =
If the NPV is positive fund the project. Otherwise reject the funding request.

Formula Recall

Where C = means Future Cash Income or Expenses Projected
Where NPV = means Net Present Value
Where r = means discounted rate for C
Where N = means number of years money is discounted for present value

NPV = Σ C ( 1 + r ) ^{- N}

The initial pattern of solving this type of problem is remembering the formula. Next mastering how to use your personal online calculator. Now you have your tool for computational thinking. You can do quick analysis. For example you can adjust the discounting rate to 6% , then enter the projected income and expenses. Tip do not enter dollar $ sign or comma symbol because you will get an error message of NaN, meaning Not a Number data entry.

Practice using your online personal calculator by using the data shown below.

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