How do I figure out how the Time Value of Money concept results in a discounted cash flow in year 4 (an amount less than $30,000). Using the following information:

A new product manager presents to you, the Chief Financial Officer, a proposal to expand operations that includes the purchase of a new machine. The product manager is certain that the positive cash flows, which exceed the initial outlay by $20,000 by the end of year 4, will bring both praise and approval. You explain the company uses a 12% discount rate for cash flows and project related budgeting. You take the time to present the details of the Net Present Value (NPV) model used to assess product proposals. The data is below.

Project Outflows to Buy Machine

Day 1Cash Out-$70,000 12% discount rate applied.

End Year 1 Cash Repayment$10,000

End Year 2 Cash Repayment$20,000

End Year 3 Cash Repayment$30,000

End Year 4 Cash Repayment$30,000