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Module 04 of 1260 min readIntermediate

The balance sheet and cash flow

Assemble both statements and wire the one link — closing cash — that turns three tables into an integrated model that balances to the cent.

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Learning objectives

By the end of this module, you should be able to:

  • 01Assemble a balance sheet from its real lines and explain why Assets = Liabilities + Equity is an identity, not a coincidence
  • 02Roll retained earnings forward correctly — RE(t) = RE(t−1) + net income − dividends — and see why it is the one line joining the income statement to the balance sheet
  • 03Build the indirect cash-flow statement from net income: CFO = net income + D&A − ΔNWC, CFI = −capex, CFF = −debt repayment − dividends
  • 04Wire the single link that closes the model: the closing cash from the cash-flow statement is the cash line on the balance sheet

The income statement told you whether Sokoni made a profit. It cannot tell you whether Sokoni has any money — those are different questions, and answering the second is the job of the other two statements. The balance sheet is a photograph taken at the last instant of the period: everything the business controls, and every claim against it, frozen at that moment. The cash-flow statement is the reconciliation between two consecutive photographs — it explains, line by line, how the cash balance moved from the start of the year to the end. In this module you build both for Sokoni and wire the one link that makes a three-statement model a model rather than three spreadsheets sharing a workbook. All Sokoni figures are in KES.

The balance sheet is an identity

A balance sheet has two sides that are equal by construction: Assets = Liabilities + Equity. The left side lists what the business controls; the right side lists who has a claim on it — lenders first, owners last. For Sokoni the asset side is four lines: cash; accounts receivable (money customers owe for goods already delivered); inventory (goods bought or made but not yet sold); and net property, plant and equipment (the depreciated book value of the long-lived assets). The claim side is three: accounts payable (money Sokoni owes suppliers); interest-bearing debt; and equity, which is share capital plus retained earnings. Five real asset and liability lines, and equity underneath — that is the whole structure.

The equality is not something you arrange; it is a consequence of how every transaction is recorded. Buy KES 100 of inventory on credit and two things move together: inventory rises by 100 and accounts payable rises by 100. Pay a supplier and cash falls while payables fall by the same amount. Every transaction touches the sheet in two equal and opposite places — that is what double-entry bookkeeping means — so the two sides cannot drift apart if the bookkeeping is honest. This matters enormously for the modeller: when a model's balance sheet does not balance, it is never the accounting identity that has failed. It is always a link in your spreadsheet that has, and the next module is entirely about finding it.

Retained earnings: the hinge between the statements

Only one line on the balance sheet connects it to the income statement, and it is retained earnings — the running total of every profit the company has ever earned and not paid out. It rolls forward by a single rule: RE(t) = RE(t−1) + net income − dividends. Sokoni is a going concern with a history, so it opens Year 0 with retained earnings of KES 206,849 — the figure that makes the opening balance sheet balance, given cash of 100,000, receivables of 82,192, inventory of 98,630 and net PP&E of 500,000 on the asset side, against payables of 73,973, debt of 300,000 and share capital of 200,000 on the claim side. In Year 1 it earns net income of KES 93,800 and pays dividends of KES 18,760 (twenty per cent of profit), so closing retained earnings is 206,849 + 93,800 − 18,760 = KES 281,889. That one number carries the entire income statement onto the balance sheet. Get the roll-forward wrong — add dividends instead of subtracting them, or forget them — and the sheet will not balance, which is precisely how you will catch the mistake.

The indirect cash-flow statement

Profit is an opinion; cash is a fact. The gap between them is created by accruals — revenue booked before the customer pays, costs matched before the supplier is paid, and non-cash charges like depreciation that reduce profit without moving any money. The indirect cash-flow statement starts from net income and undoes every one of those accruals to arrive at cash actually generated. Operating cash flow is net income, plus depreciation and amortisation (a non-cash expense, added straight back), minus the increase in net working capital (the cash swallowed by growing receivables and inventory, net of the financing that suppliers extend through payables): CFO = net income + D&A − ΔNWC.

Below operating cash flow sit two more sections. Investing cash flow, for Sokoni, is simply the cash spent on new fixed assets: CFI = −capex. Financing cash flow is the cash returned to capital providers: CFF = −debt repayment − dividends. Add the three sections for the net change in cash, then add that to the opening balance for the closing balance. Because Sokoni is an established business rather than a startup, its opening balance sheet already carries receivables, inventory and payables — net working capital was KES 106,849 at the end of Year 0 (receivables 82,192 plus inventory 98,630 less payables 73,973). Year 1 does not suffer a first-year working-capital shock; it only funds the increase needed to support 10% more revenue, and net working capital rises to KES 117,534, so ΔNWC is just KES 10,685. Year 1 operating cash flow is therefore 93,800 + 50,000 − 10,685 = KES 133,115 — comfortably above net income, because depreciation adds back more than the working-capital build takes out. Investing cash flow is −132,000 (capex at 12% of revenue); financing is −50,000 − 18,760 = −68,760. Net change in cash is 133,115 − 132,000 − 68,760 = negative KES 67,645, and against opening cash of 100,000 that leaves closing cash of KES 32,355 — still positive, but already falling because the capex programme outruns the cash operations throw off.

  • Net income: KES 93,800 — the starting point, taken straight from the income statement
  • Add depreciation: KES 50,000 — a non-cash charge that reduced profit but moved no cash
  • Less increase in net working capital: KES 10,685 — net working capital rising from 106,849 to 117,534 as receivables and inventory grow with sales, net of payables
  • Operating cash flow (CFO): KES 133,115 — above net income, because depreciation adds back more than the working-capital build absorbs
  • Investing cash flow (CFI): negative KES 132,000 — capex at 12% of revenue
  • Financing cash flow (CFF): negative KES 68,760 — debt repayment 50,000 plus dividends 18,760
  • Net change in cash: negative KES 67,645
  • Opening cash 100,000, closing cash: KES 32,355 — still positive in Year 1, but the capex programme is already outrunning operating cash

The one link that makes it a model

The closing cash from the cash-flow statement IS the cash line on the balance sheet. Not a copy of it, not a number that happens to agree — the same value, linked. Sokoni's Year-1 cash flow ends at KES 32,355, and that exact figure is written into the top of the Year-1 balance sheet as cash. This is the join that closes the loop: the income statement feeds retained earnings, the cash-flow statement feeds cash, and with those two links in place every other line already ties. Type a number directly into the balance-sheet cash cell and you have cut this link — the model will now balance only by luck, and only until the next assumption changes.

With the link in place, Sokoni's Year-1 balance sheet balances to the cent. Assets: cash 32,355, receivables 90,411, inventory 108,493, net PP&E 582,000 (opening 500,000 plus capex 132,000 less depreciation 50,000) — total KES 813,259. Claims: payables 81,370 plus debt 250,000 gives liabilities of 331,370; share capital 200,000 plus retained earnings 281,889 gives equity of 481,889 — total KES 813,259. The two sides agree exactly, and they will agree in every one of the five forecast years. Nothing was forced to make that happen; it fell out of two correct links and the identity.

A balancing model is not a healthy company

Sokoni balances every year, and in Year 1 it even throws off more operating cash than it books in profit — yet by Year 2 its cash balance has gone negative, and it stays negative through Year 5: −30,270, then −87,851, −140,345, and −187,695. That is not a modelling error; it is the model doing its job. Sokoni is profitable in every single year, and its books balance to the cent in every single year, but capex at 12% of revenue runs steadily ahead of depreciation, and on top of that the company repays 50,000 of debt and pays out a fifth of its profit in dividends — three cash demands that its operating cash flow, healthy as it is, cannot cover once growth accelerates. The negative cash line is the model telling you Sokoni needs financing it does not yet have — an overdraft or revolver you would size and add in a fuller build. Never quietly flip a negative cash balance up to zero to make it look better; surfacing exactly this — a profitable, balancing company that is quietly running out of money — is the whole reason the cash-flow statement exists, and it is the resilience question from Module 1 answered in numbers.

Check your understanding

Sokoni opens Year 1 with retained earnings of KES 206,849, earns net income of 93,800, and pays dividends of 18,760. Compute closing retained earnings (KES).

KES

Check your understanding

Sokoni Year 1: net income 93,800, depreciation 50,000, and net working capital rises by 10,685. Compute operating cash flow (KES).

KES

Check your understanding

Continuing Year 1: CFO is 133,115, capex (investing) is 132,000, financing is debt repayment 50,000 plus dividends 18,760, and opening cash is 100,000. Compute closing cash (KES).

KES

Check your understanding

Why must the balance-sheet cash line be a link to the cash-flow statement's closing cash rather than a number typed in?

Exercise · try it first

Trace a single KES 100 credit sale through Sokoni's model, from the income statement to the balance sheet, and show exactly where cash and profit diverge. The goods sold cost KES 60 (consistent with Sokoni's 40% gross margin) and were already sitting in inventory, bought and paid for in an earlier period. The customer buys on credit and will pay next period. Set opex and tax aside to isolate the effect. Work through: (1) the income statement; (2) the receivables and inventory lines; (3) the indirect cash-flow statement; (4) the balance sheet, proving it still balances; (5) where profit and cash diverge, and when they reconcile.

Stuck? Ask Mwalimu (bottom-right) to check your reasoning.

Key takeaways

  • The balance sheet is a photograph at one instant; assets are what the business controls, liabilities and equity are the claims on it, and the two sides are equal by construction
  • Retained earnings is the hinge: RE(t) = RE(t−1) + net income − dividends carries the whole income statement onto the balance sheet
  • The indirect cash-flow statement starts from profit and strips out the accruals — add back non-cash D&A, subtract the cash tied up in working capital
  • Closing cash from the cash flow IS the balance-sheet cash line; wire that link and the sheet can balance, cut it and nothing will

Further reading

  1. 01

    Financial Modeling

    Simon Benninga · MIT Press · 2014The standard graduate text — the balance sheet and cash flow built cell by cell.

  2. 02

    Financial Statement Analysis and Security Valuation

    Stephen H. Penman · McGraw-Hill · 2012The clearest account anywhere of how the three statements articulate into one another.

  3. 03

    International Financial Statement Analysis

    Robinson, Henry, Pirie & Broihahn (CFA Institute) · Wiley · 2020The practitioner reference on reading and constructing the statements under IFRS.

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