CFA Level I Exam · Analyzing Balance Sheets
Owners' Equity and the Statement of Changes in Equity
Updated 7 October 2026 · Fact-checked
Owners' equity is the residual claim on assets after liabilities: contributed capital, retained earnings, treasury stock (a deduction), AOCI and other reserves. The statement of changes in equity reconciles each component from opening to closing balance. Solve questions by rolling forward each component and checking which items bypass net income.
Understand Owners' Equity and Statement of Changes in Equity
Owners' equity is what is left of a company's assets after you subtract its liabilities. It is a residual claim. Under IFRS it is often called equity attributable to owners of the parent. The accounting equation is: assets = liabilities + equity.
Contributed capital is what shareholders paid in. It includes common shares and preferred shares. Any amount paid above par value goes to additional paid-in capital (share premium under IFRS). Par value is a small legal amount. Most of the cash raised usually sits in additional paid-in capital.
Treasury stock is the company's own shares that it bought back and holds. It is not an asset. It is a contra-equity item that reduces total equity. Treasury shares are issued but not outstanding. They get no dividends and no votes. Buying back shares lowers cash and equity by the same amount. Reissuing them raises both. The reissue never creates a gain or loss in net income. Under IFRS, treasury share transactions are recorded in equity, not in profit or loss. IFRS does not prescribe which equity account takes the difference between cost and reissue price. The order below is the US GAAP approach: a reissue above cost adds to additional paid-in capital, and a reissue below cost reduces additional paid-in capital first, then retained earnings.
Retained earnings are the cumulative net income that has not been paid out as dividends. Roll-forward: ending = beginning + net income − dividends declared. Cash dividends reduce retained earnings when declared, not when paid. A stock dividend or stock split changes the share count. A stock dividend moves an amount from retained earnings to contributed capital. A stock split does not change total equity or any component.
Accumulated other comprehensive income (AOCI) holds gains and losses that are part of comprehensive income but bypass net income. Examples are foreign currency translation adjustments, unrealized gains and losses on certain investments measured at fair value through OCI, remeasurements of defined benefit pension plans, and some cash flow hedge gains and losses. Comprehensive income = net income + other comprehensive income. Other comprehensive income accumulates in AOCI on the balance sheet.
The statement of changes in equity shows the opening balance, every change and the closing balance for each equity component. Changes include net income, OCI, dividends, share issuance, buybacks and share-based compensation. It ties the income statement and the balance sheet together.
Key formulas to remember
- Accounting equation
- Assets = Liabilities + Owners' equity
- Equity is the residual. Use it to find equity when assets and liabilities are given.
- Retained earnings roll-forward
- Ending RE = Beginning RE + Net income − Dividends declared
- Use dividends declared, not paid. Add any other direct adjustments only if the question gives them.
- Comprehensive income
- Comprehensive income = Net income + Other comprehensive income
- OCI includes translation adjustments, certain fair value gains and losses, pension remeasurements and some hedge gains and losses.
- AOCI roll-forward
- Ending AOCI = Beginning AOCI + OCI for the period
- OCI items are recorded net of tax unless the question says otherwise.
- Total equity
- Total equity = Contributed capital + Retained earnings + AOCI and other reserves − Treasury stock (+ non-controlling interest, if shown)
- Treasury stock is subtracted. Check whether non-controlling interest is included in the figure asked for.
- Shares outstanding
- Shares outstanding = Shares issued − Treasury shares
- Use outstanding shares for EPS and dividends.
- Equity change from buyback
- Buyback: cash falls and equity falls by shares repurchased × price per share
- Total assets fall by the same amount.
How to solve Owners' Equity and Statement of Changes in Equity questions
Use this method for any question on equity components, treasury stock, AOCI or the statement of changes in equity.
- 1Identify what is asked: a closing balance, a change in one component, total equity, or the effect of a transaction.
- 2List the equity components in the question: contributed capital, retained earnings, treasury stock, AOCI, other reserves.
- 3For each transaction, decide which component it hits. Net income and dividends hit retained earnings. OCI items hit AOCI. Buybacks hit treasury stock.
- 4Check if an item bypasses net income. If it does, it belongs in OCI and AOCI, not in retained earnings.
- 5Roll forward the component: beginning balance plus increases minus decreases.
- 6Use the right dates and amounts: dividends declared, not paid; shares outstanding, not issued.
- 7Sum the components for total equity, or check the result with assets minus liabilities.
- 8Eliminate options by testing direction (up or down) and which component moves.
Quickest way: Component roll-forward shortcut
When to use it: Use when a question gives a beginning balance, a list of events and asks for one ending figure.
- Write the component name and its beginning balance.
- Scan the events and tick only those that affect that component.
- Add the increases and subtract the decreases.
- Confirm that the sign is right: buybacks and dividends reduce equity; net income and OCI increase it unless negative.
- Pick the option that matches. Numerical options run smallest to largest, so check you are not off by a sign or by a single wrong item.
Common mistakes in Owners' Equity and Statement of Changes in Equity
Treating treasury stock as an asset.
The company owns the shares, so it feels like an investment.
Fix: A company cannot own itself. Treasury stock is a contra-equity account that reduces total equity.
Recording a gain or loss in net income when treasury shares are reissued.
Students apply the rules for selling an investment.
Fix: Transactions in own shares go through equity. Differences from cost stay in equity. Under US GAAP, they adjust additional paid-in capital first, then retained earnings if needed. IFRS does not prescribe the specific equity account.
Reducing retained earnings by dividends paid rather than dividends declared.
Cash flow thinking is mixed with equity thinking.
Fix: Equity falls when dividends are declared. Payment later reduces cash and the dividend payable.
Putting OCI items such as translation adjustments or pension remeasurements into net income.
They are gains and losses, so students assume they belong on the income statement.
Fix: Ask whether the standard routes the item to OCI. If so, it goes to AOCI, and it changes total equity but not net income.
Thinking a stock split or stock dividend changes total equity.
The share count and per-share figures change.
Fix: A split changes only shares and par per share. A stock dividend only moves amounts between equity components. Total equity is unchanged.
Using shares issued instead of shares outstanding.
The balance sheet often shows both figures.
Fix: Subtract treasury shares. Only outstanding shares receive dividends and count in EPS.
Worked examples
Example 1
A company starts the year with retained earnings of $480 million and AOCI of $35 million. During the year, net income is $120 million, OCI is a loss of $15 million, and it declares dividends of $45 million (paying $40 million in cash during the year). What are ending retained earnings and ending AOCI? Options for retained earnings: A) $555 million, B) $560 million, C) $645 million.
Show the solution
- Retained earnings change with net income and dividends declared.
- Dividends declared are $45 million, not the $40 million paid.
- Ending RE = 480 + 120 − 45 = 555.
- The OCI loss does not touch retained earnings. It goes to AOCI.
- Ending AOCI = 35 − 15 = 20.
Answer: Ending retained earnings are $555 million (A). Ending AOCI is $20 million. Option B uses dividends paid (480 + 120 − 40). Option C adds the dividends instead of subtracting them (480 + 120 + 45).
Example 2
A company buys back 10 million of its own shares at €15 per share. It later reissues 4 million of them at €18 per share. Under US GAAP, what is the effect of the reissue on total equity? Options: A) increase of €60 million, B) increase of €72 million, C) increase of €150 million.
Show the solution
- Reissue proceeds = 4 million × €18 = €72 million. Cash and equity both rise by €72 million.
- Cost of the reissued shares = 4 million × €15 = €60 million.
- Treasury stock is contra-equity, so reducing it by €60 million raises total equity by €60 million. The excess of €12 million (€72 million − €60 million) goes to additional paid-in capital, not to income, and raises equity by €12 million.
- Total equity rises by €60 million + €12 million = €72 million. This equals the cash proceeds received.
Answer: Total equity rises by €72 million (B), equal to the cash proceeds. Option A is the cost of the reissued shares (4 million × €15 = €60 million), which ignores the €12 million excess over cost. Option C is the original buyback cost (10 million × €15 = €150 million), which is not the effect of the reissue.
Exam tips
- Ask first: does this item pass through net income? If not, it is in OCI and AOCI. This one test settles many questions.
- For buyback questions, think cash out and equity down by the same amount. Total assets fall, and no income is recognised.
- Questions on stock splits and stock dividends often test that total equity is unchanged. Check what the options claim about total equity.
- In a statement of changes in equity question, work one column at a time. Do not mix retained earnings movements with AOCI movements.
- With no penalty for wrong answers, never leave a blank. Remove the option with the wrong sign or the wrong component, then pick between the two left.
Practice questions from Analyzing Balance Sheets
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Owners' Equity and Statement of Changes in Equity in other exams
The same ground in other exams, if you are preparing for more than one or want another angle on it.
Owners' Equity and Statement of Changes in Equity: frequently asked questions
What are the components of owners' equity?
The main components are contributed capital (common and preferred shares plus additional paid-in capital), retained earnings, treasury stock as a deduction, AOCI and other reserves. Non-controlling interest is also part of total equity in consolidated statements. Total equity equals assets minus liabilities.
How is treasury stock accounted for?
Treasury stock is shown as a deduction within equity at cost. A buyback lowers cash and equity. Reissuing shares raises cash and equity, and any difference from cost goes to equity accounts, not to net income.
What is accumulated other comprehensive income?
AOCI is the running total of other comprehensive income items that bypass net income. Examples are foreign currency translation adjustments, some fair value changes on investments and pension remeasurements. It appears as a separate component of equity.
What does the statement of changes in equity show?
It reconciles the opening and closing balance of each equity component. It lists net income, OCI, dividends, share issues, buybacks and other changes. It links the income statement to the balance sheet.