Objectives

Section Learning Objectives

3.1

The Roll-Forward Concept

📖 Core Principle

Every Balance Sheet item follows the same pattern: Ending Balance = Beginning Balance + Additions − Subtractions. This "roll-forward" connects the beginning-of-period balance to the end-of-period balance through activity during the period. Each addition or subtraction has a corresponding entry on the IS or CF.

Beginning Balance
+
Additions
Subtractions
=
Ending Balance
3.2

Retained Earnings Roll-Forward

💰 Retained Earnings (Shareholders' Equity)

The most critical equity roll-forward — connects Net Income from the IS to equity on the BS.

Beg RE
+
Net Income
Dividends
=
Ending RE
Ending RE = Beginning RE + Net Income (from IS) − Dividends
Excel: =Prior_RE + Net_Income - Dividends

Key Points:
• Net Income comes directly from the IS
• Dividends are a financing assumption (payout ratio × Net Income)
• If Net Income is negative (loss), RE decreases
• Stock repurchases also reduce equity (separate line)
⚠️Common Error

Dividends reduce Retained Earnings, NOT Net Income. They appear as a financing cash outflow in the CF statement, not as an expense on the IS.

3.3

PP&E (Net Fixed Assets) Roll-Forward

🏭 Property, Plant & Equipment

The largest asset for most companies — connects CapEx (CF) and Depreciation (IS) to the BS.

Beg PP&E
+
CapEx
Depreciation
=
Ending PP&E
Ending Net PP&E = Beginning Net PP&E + CapEx − Depreciation
CapEx = Forecast assumption (% of Revenue or absolute)
Depreciation = Straight-line: Cost / Useful Life
Excel: =Beg_PPE + CapEx - Depreciation

Numerical Example:
Beg PP&E = $500M, CapEx = $50M, Depreciation = $40M
Ending PP&E = $500 + $50 − $40 = $510M
CapEx Links
  • BS: Increases PP&E
  • CF: Outflow in Investing
Depreciation Links
  • BS: Reduces PP&E
  • IS: Expense; CF: Add back
3.4

Working Capital Balance Changes

🔄 Operating Current Assets & Liabilities

Working capital balances are forecast using ratios (DSO, DIO, DPO) and feed the CF statement through changes.

Accounts Receivable = Revenue × (DSO / 365)
Inventory = COGS × (DIO / 365)
Accounts Payable = COGS × (DPO / 365)
Accrued Expenses = SGA × (Accrual Days / 365)

Net Working Capital = (AR + Inventory + Other CA) − (AP + Accrued + Other CL)
Change in NWC = Current NWC − Prior NWC
→ Increase in NWC = cash outflow (more capital tied up)
→ Decrease in NWC = cash inflow (less capital tied up)
Numerical Example
Item Year 1 Year 2 Change CF Impact
Accounts Receivable $80M $90M +$10M ($10M) outflow
Inventory $60M $55M −$5M $5M inflow
Accounts Payable $40M $50M +$10M $10M inflow
Total NWC Change $5M inflow
3.5

Debt Balances from the Debt Schedule

🏦 Debt Roll-Forward

Built in the debt schedule (Lecture 7) and linked to the BS and CF.

Beg Debt
+
Borrowings
Repayments
=
Ending Debt
Ending Debt = Beginning Debt + New Borrowings − Principal Repayments

Links:
IS: Interest Expense = Avg Debt × Rate (from debt schedule)
BS: Ending Debt balance → Long-term liabilities
CF: Borrowings = inflow; Repayments = outflow (financing)
Revolver: Balancing mechanism (draws when cash is short)
3.6

Goodwill & Intangible Assets

📋 Goodwill and Intangibles Roll-Forward

Important for companies with acquisitions — typically constant unless impairment occurs.

Goodwill = Prior Goodwill − Impairment (if any)
Intangibles = Prior Intangibles − Amortization

Goodwill is NOT amortized under US GAAP; tested for impairment annually.
Intangibles (customer lists, patents) ARE amortized over useful life.

Simplification in models:
• No forecasted acquisitions → Goodwill stays constant
• Intangibles amortize to zero over estimated useful life
• Impairment is rare but must be considered for valuation
Practice

Hands-on Exercise: Roll‑Forwards (PP&E & Retained Earnings)

Practice the mechanics of roll‑forwards for PP&E and Retained Earnings. Download the dataset and follow the condensed instructions below. Full step‑by‑step solutions are hidden and can be revealed with the Show / Hide Solution Steps button.

Download Roll‑Forwards CSV Download Full Guide (includes solutions)

  1. Open the roll‑forwards CSV in Excel and locate beginning balances and the per‑year activity table.
  2. Build the PP&E roll‑forward: Beg PP&E + CapEx − Depreciation = Ending PP&E for each year.
  3. Build the Retained Earnings roll‑forward: Beg RE + Net Income − Dividends = Ending RE.
  4. Confirm that the PP&E roll‑forward equals the reported Net PP&E and that the RE roll‑forward ties to the Balance Sheet.
Summary

Key Takeaways

  • Retained Earnings = Beg RE + Net Income − Dividends
  • PP&E = Beg PP&E + CapEx − Depreciation (triple link: BS, IS, CF)
  • Working Capital = Forecast using DSO/DIO/DPO; changes flow to CF
  • Debt = Beg Debt + Borrowings − Repayments (from debt schedule)
  • Every roll-forward follows the same pattern: Beg + Additions − Subtractions = End