Cash Flows and NPV





Kerry Back

Property, plant, & equipment

  • Net PP&E = undepreciated part of historical PP&E cost
  • Use tax depreciation schedules
    • Accelerated compared to straight line financial reporting

Net working capital

  • Short-term assets minus short-term operating liabilities
    • Short-term is called “current”
  • Inventory plus accounts receivable minus accounts payable

Invested capital

  • Net PP&E plus net working capital
  • Equals assets not financed by payables
  • \(\Rightarrow\) financed by investors (shareholders and lenders)
  • Example: Net PP&E = 100, current assets = 30, current liabilities = 10
    • Total assets = 130
    • Invested capital = 120

Project cash flows

  • Cash flow = income minus change in invested capital
  • Usual timing
    • Early years = negative cash flows (build up of capital)
    • Middle years = positive cash flows
    • End = either
      • Extra positive cash flow due to wind-down of working capital and salvage value of PP&E
      • Or maybe disposal and/or environmental clean-up costs

Example

Year 0 1 2 3 4
Invested capital 100 70 50 35 0
Income 0 20 30 20 5


Year 0 1 2 3 4
Income 0 20 30 20 5
Change in invested capital 100 -30 -20 -15 -35
Cash flow -100 50 50 35 40

Net present value

Discount rate = 10%


Year 0 1 2 3 4
Cash flow -100 50 50 35 40
PV factor 1 0.91 0.83 0.75 0.68
PV of cash flow -100 45.45 41.32 26.30 27.32
NPV 40.39