Before treating simultaneous increases in EPS and ROE as better operating performance, examine changes in shares and equity. Both ratios can rise at unchanged profit when their denominators shrink. This exercise connects the statement of changes in equity with the cash flow statement.
Official references checked: . The figures below are independently constructed fictional cases, not results of the linked companies.
1. Separate authorization from payment
A board authorization, contracted share purchases and settled cash payments are different records. An unused authorization is not cash already spent. Paragraph 33 of the public NZ IAS 32 text, an IFRS-equivalent standard, describes the usual deduction of repurchased own equity instruments from equity without recognizing the transaction itself in profit or loss. Check the issuer’s policies for specialized instruments or arrangements.
2. Hold profit constant in the equity ledger
Our fictional company begins with equity of 500, earns ordinary-share profit of 60 and pays dividends of 10, all in millions. Assume no other equity movements. Spending 100 on a repurchase gives ending equity of 500 + 60 − 10 − 100 = 450. Without the repurchase, ending equity would be 550. Profit, interest and tax effects are deliberately held fixed to isolate a denominator effect; this is not a forecast.
| Measure | No repurchase | Repurchase of 100 |
|---|---|---|
| Ordinary-share profit | 60 | 60 |
| Opening equity | 500 | 500 |
| Ending equity | 550 | 450 |
| Simple opening/closing average | 525 | 475 |
| ROE using average equity | 11.43% | 12.63% |
3. Do not mix average and ending equity
Average-equity ROE is 60 / 475 = 12.63%. Using ending equity of 450 instead gives 13.33%. Even an opening/closing average does not capture every transaction’s timing. Note when a major movement occurred. The DuPont calculator uses the equity amount you enter, so explicitly record whether it is an average or an ending balance.
4. Reweight the share count for EPS
If outstanding shares are 100 for an equally long first half and 90 for the second, weighted-average shares are 95. Earnings of 60 / 95 give EPS of 0.6316, about 5.26% above the no-repurchase EPS of 60 / 100 = 0.60. A 10% fall in the ending count is not automatically a 10% rise in EPS. Add issuance, awards and conversions to the share ledger and inspect the dilution reconciliation.
5. Trace cash separately from operations
A repurchase payment is not additional profit generated by the business. Reconcile its cash-flow amount with the equity note and record dividends, borrowing and share issuance alongside it. Lower cash can affect interest income, while debt-financed repurchases can affect interest expense. Those effects are excluded from our constant-profit illustration, so it cannot predict an actual company’s future EPS.
6. Keep the supporting disclosures
| Record | Disclosure to inspect |
|---|---|
| Authorization and unused capacity | Repurchase-program description |
| Shares bought and cash settled | Equity note and financing cash flows |
| Increases and decreases in shares | Share movements and compensation note |
| OCI, dividends and issuance | Statement of changes in equity |
| Basic/diluted shares and periods | EPS note |
Read Notes 10 and 3 in Apple’s 2025 report together to locate equity transactions and the EPS denominator in separate disclosures. The repurchase of 100 in our example is not an Apple figure.
7. Write the source of the ratio change
A bounded conclusion would say: profit remained 60 while average equity fell from 525 to 475, increasing ROE. Conventional ROE comparisons become especially difficult with zero or negative equity. Continue with the diluted-EPS worksheet and balance-sheet guide to check definitions. This arithmetic does not establish whether the repurchase price was attractive or whether a share price will rise.