Financial Accounting I¶

BUSI 721: Data-Driven Finance I¶

Kerry Back, Rice University¶

Statements¶

  • Income statement
    • Revenues
    • Costs
    • Net income = revenues - costs
  • Balance sheet
    • Assets
    • Liabilities
    • Equity = assets - liabilities
  • Statement of Cash Flows

Example: Property, Plant & Equipment (PP&E)¶

  • Investment in PP&E is not an immediate cost in calculating income
  • It goes on the balance sheet as an asset.
  • It is gradually depreciated over time.
  • The depreciation is a cost in calculating income.
  • The balance sheet amount is written down by the amount of the depreciation.

Depreciation¶

  • Depreciation is straight-line for financial reporting (same amount each year = investment/num of years).
  • Depreciation is accelerated for tax purposes: double declining balance with a switch to straight line when that is optimal and a half-year in the first and last years.
  • Congress passed accelerated depreciation to encourage investment. Accelerating depreciation improves near-term cash flows (more later).
  • Tax schedule is called MACRS (Modified Accelerated Cost Recovery System).

Example¶

  • Invest $100 in five-year equipment
  • Straight-line is 20% per year.
  • Double-declining balance is 40% of the remaining balance each year.
  • But first year of service is only a half year, so 20%.
  • Switching to straight-line means computing balance / (num years left) and switching to that when higher.
  • $20 -> $80 balance
  • $32 -> $48 balance (SL would be 80/4.5 = 17.78)
  • $19.20 -> $28.80 balance (SL would be 48/3.5 = 13.71)
  • $11.52 -> $17.28 balance (SL would be 28.80/2.5 = 11.52)
  • $11.52 -> $5.76 balance (DDB would be 0.4 x 17.38 = 6.95)
  • $5.76 -> $0.00 balance

Balance Sheet in Example¶

Year 0 1 2 3 4 5
Gross PP&E 100 100 100 100 100 100
Accum Depr 20 52 71.20 82.72 94.24 100
Net PP&E 80 48 28.80 17.28 5.76 0

Income Statement in Example¶

  • Assume revenue $50 per year beginning in year 1 and there are no costs other than depreciation.
  • Assume the tax rate is 30%.
Year 0 1 2 3 4 5
Revenue 0 50 50 50 50 50
Less Depreciation -20 -32 -19.20 -11.52 -11.52 -5.76
Pre-Tax Income - 20 18 30.80 38.48 38.48 44.24
Less Taxes 6 - 5.40 - 9.24 - 11.54 - 11.54 - 13.27
Net Income - 14 12.60 21.56 26.94 26.94 30.97

Income is not Cash¶

  • Depreciation is not an actual cash expense.
  • Cash inflow in this example, excluding the initial $100 outlay for equipment, is revenue - taxes.
  • We can also calculate cash inflow as net income + depreciation (depreciation add back).
    • Net income = 0.7 x (revenue - depreciation)
    • Net income + depreciation = 0.7 x revenue + 0.3 x depreciation
    • 0.3 x depreciation = depreciation tax shield

Statement of Cash Flows¶

  • The statement of cash flows starts with net income and makes adjustments to get to cash flow (cash flow = cash inflow).
  • Like adding back depreciation
  • The cash inflow goes on the company's balance sheet as an increase in the cash account (or a decrease if the cash flow is negative).

Statement of Cash Flows in Example¶

Year 0 1 2 3 4 5
Net Income - 14 12.60 21.56 26.94 26.94 30.97
Less Cap Ex - 100 0 0 0 0 0
Plus Depr Add-Back 20 32 19.20 11.52 11.52 5.76
Cash Flow - 94 44.60 40.76 38.46 38.46 36.73

Accelerated Depreciation and Cash Flows¶

  • The effect of depreciation is to increase cash flow by the depreciation tax shield = 0.3 x depreciation.
  • If we increase depreciation in early years (and therefore reduce it in later years) then we move some of the depreciation tax shields from late years to early years.
  • Accelerating depreciation accelerates cash flows.
  • How would cash flows change if the cap ex could be fully depreciated in year 0?
    • And how would the balance sheet change?
    • This would be called expensing as opposed to capitalizing.

Why are there Assets and Liabilities?¶

  • Revenues $\ne$ cash inflows
  • Costs $\ne$ cash outflows
  • Difference between revenue/cost and cash inflow/outflow is always manifested in a change in a balance sheet item.
  • To calculate cash inflow/outflow from revenue/cost, the adjustment we make is to always add/subtract the change in a balance sheet item.
  • Cash flow = net income - $\Delta$ (assets-liabilities)

Balance Sheet Changes in the Example¶

Year 0 1 2 3 4 5
Net PP&E 80 48 28.80 17.28 5.76 0
$\Delta$ Net PP&E 80 -32 -19.20 - 11.52 - 11.52 - 5.76
  • Cash Flow = Net Income - Cap Ex + Depreciation
  • Cash Flow = Net Income - $\Delta$ Net PP&E

Another Example¶

  • Invest $500,000 in five-year MACRS equipment
  • Revenues =
    • 0 in year 0
    • $100,000 in year 1
    • $200,000 in year 2
    • $200,000 in year 3
    • $100,000 in year 4
    • $50,000 in year 5
  • No costs other than depreciation. Calculate cash flows.

Working Capital¶

  • Short-term assets minus short-term liabilities
  • Main categories:
    • Assets = inventory + accounts receivable
    • Liabilities = accounts payable

Matching Principle¶

  • Record costs and revenues at time of sale
  • If cash outflows/inflows occur at other times,
    • cash outflow before recording $\mapsto$ asset (inventory)
    • cash outflow after recording $\mapsto$ liability (accounts payable)
    • cash inflow before recording $\mapsto$ liability (pre-paid sales)
    • cash inflow after recording $\mapsto$ asset (accounts receivable)

Example¶

Year 0 1 2 3 4 5
Inventory 5 10 10 10 10 0
Receivables 0 8 8 8 8 0
Payables 3 6 6 6 6 0
Net Working Capital 2 12 12 12 12 0
$\Delta$ NWC 2 10 0 0 0 - 12

Invested Capital (using previous example for net pp&e)¶

Year 0 1 2 3 4 5
Net PP&E 80 48 28.80 17.28 5.76 0
Net Working Capital 2 12 12 12 12 0
Invested Capital 82 60 40.80 29.28 17.76 0
$\Delta$ IC 82 - 22 - 19.20 - 11.52 - 11.52 - 17.76

Cash Flow = Net Income - $\Delta IC$

COGS and SG&A¶

  • Direct costs of production (materials + labor) are costs of goods sold or costs of revenue
    • COGS or COR
  • Other costs are selling, general, and administrative
    • SG&A

Previous Example¶

  • Invest $500,000 in five-year MACRS equipment
  • Revenues =
    • 0 in year 0
    • $100,000 in year 1
    • $200,000 in year 2
    • $200,000 in year 3
    • $100,000 in year 4
    • $50,000 in year 5
  • Assume COGS = 40% of revenue
  • Assume SG&A = $50,000 each year
  • Assume inventory = 10% of subsequent year sales (0 at end)
  • Assume receivables = 8% of prior year sales (0 at end)
  • Assume payables = 50% of inventory (0 at end)
  • Calculate Net Income, Invested Capital, and Cash Flows.