EPS divides the right earnings by the right share-time每股收益要用正确收益除以正确股份时间
Basic earnings per share divides profit attributable to ordinary equity holders, after relevant preference claims, by weighted-average ordinary shares outstanding during the period. Diluted EPS adjusts for potential ordinary shares only when assumed conversion reduces EPS or increases loss per share. Mid-period issues and repurchases receive time weights; a share split generally requires retrospective adjustment. EPS can rise because earnings increase, shares decrease, or both. Trace the numerator, share clock, and dilution instruments before interpreting growth.
基本每股收益等于归属于普通股股东的利润，在扣除相关优先股股息等请求权后，除以报告期间普通股加权平均股数。稀释每股收益只在潜在普通股的假设转换会降低每股收益或增加每股亏损时，调整分子与分母。期中发行或回购的股份要按参与期间加权；股份拆分通常要求追溯调整列报期间的股数与每股数据。EPS 上升可能来自利润增加、股数减少，或两者同时发生，因此必须依次追踪收益分子、股份时钟与每项潜在稀释工具。
Cut the correct ownership slice from consolidated profit从合并利润中切出正确的普通股收益
PacketLoom Cybersecurity is a fictional network-security software company created for this lesson; it is not a real issuer or security. All amounts are illustrative USD millions except per-share figures. The year is the twelve months ended 31 December 20X6. The case assumes one ordinary share class, no participating awards, no discontinued operation, and no tax effects except those explicitly stated.
PacketLoom Cybersecurity 是为本教程虚构的网络安全软件公司，并非真实发行人或证券。除每股金额外，所有数字均为虚构的百万美元；报告期为截至 20X6 年 12 月 31 日的十二个月。本例假设公司只有一种普通股，没有参与分红的奖励，没有终止经营，除明确给出的项目外不考虑其他税务影响。
| Numerator waterfall | Amount | Evidence status |
|---|---|---|
| Consolidated net income | 50.0 | Stipulated case fact |
| Less: income attributable to non-controlling interests | (2.0) | Not attributable to parent owners |
| Net income attributable to PacketLoom parent | 48.0 | Calculated subtotal |
| Less: noncumulative preference dividends declared | (3.0) | Claim ahead of ordinary shares in this case |
| Earnings available to ordinary shareholders | 45.0 | Basic EPS numerator |
| 分子瀑布 | 金额 | 证据状态 |
|---|---|---|
| 合并净利润 | 50.0 | 案例设定事实 |
| 减：归属于非控制性权益的利润 | (2.0) | 不归属于母公司所有者 |
| 归属于 PacketLoom 母公司的净利润 | 48.0 | 计算小计 |
| 减：已宣告非累积优先股股息 | (3.0) | 本例中优先于普通股的请求权 |
| 可供普通股股东享有的收益 | 45.0 | 基本 EPS 分子 |
Consolidated profit can include amounts belonging to non-controlling interests, while preference shares or participating securities can alter the allocation to ordinary holders. Use the issuer’s EPS reconciliation and rights attached to each class; do not substitute a headline profit figure.
净利润并不总是每股收益分子合并利润可能包含属于非控制性权益的金额，优先股或参与分红证券也可能改变普通股股东的收益分配。应使用发行人的 EPS 调节表和各类别权利，不能直接用标题净利润代替分子。
The 45.0 is a stipulated fact after the displayed calculation. The judgment that it represents sustainable earnings is outside EPS mechanics and needs separate analysis. This page asks only how much reported attributable earnings correspond to each weighted share.
45.0 是在展示计算后得到的案例事实。它是否代表可持续收益，已经超出 EPS 机械计算范围，需要另行分析。本页只回答报告归属收益对应到每一份加权股份是多少。
Send potential shares through the dilution queue让潜在股份依次通过稀释队列
Diluted EPS asks what the per-share result would be after reflecting dilutive potential ordinary shares under the applicable method. It is not “basic EPS divided by all authorized shares.” PacketLoom has employee options and convertible notes outstanding throughout 20X6. The example assumes each instrument is otherwise eligible, conversion terms are unchanged, and the simplified methods below match the stipulated facts.
稀释 EPS 问的是：按适用方法反映具有稀释作用的潜在普通股后，每股结果会变成什么。它绝不是“基本 EPS 除以全部授权股份”。PacketLoom 在 20X6 全年都有员工期权与可转债在外流通。本例假设各工具均满足其他纳入条件、转换条款不变，并按下述简化方法与案例事实匹配。
Twelve million options have a $15 exercise price; average market price is assumed to be $24. With no unrecognized compensation or tax adjustment in this simplified treasury-share calculation, incremental shares = 12.0 × ($24 − $15) ÷ $24 = 4.5 million.
期权：使用增量股份，而非全部奖励1,200 万份期权的行权价为 15 美元，假设期间平均市场价格为 24 美元。简化库存股法不考虑未确认薪酬或税务调整，增量股份 = 12.0 ×（24 − 15）÷ 24 = 450 万股。
Assumed conversion adds back 2.4 of after-tax interest to earnings and adds 8.0 million shares. Its incremental earnings per share are 2.4 ÷ 8.0 = $0.300, below basic EPS, so it is dilutive in this case.
可转债：分子与分母同时变化假设转换需要把税后利息 2.4 加回收益，并增加 800 万股。该工具的增量每股收益为 2.4 ÷ 8.0 = 0.300 美元，低于基本 EPS，因此在本例中具有稀释作用。
Diluted numerator is 45.0 + 2.4 = 47.4. Diluted denominator is 111.667 + 4.5 + 8.0 = 124.167 million. Diluted EPS is therefore 47.4 ÷ 124.167 = $0.382. The bridge from basic to diluted shares must be disclosed and rechecked; option and convertible methods can differ by instrument terms and reporting framework.
稀释分子为 45.0 + 2.4 = 47.4；稀释分母为 111.667 + 4.5 + 8.0 = 1.24167 亿股，因此稀释 EPS = 47.4 ÷ 124.167 = 0.382 美元。基本股数到稀释股数的调节必须披露并复核；期权与可转债处理会因工具条款与报告框架而不同。
Stop instruments that are anti-dilutive for this period把本期具有反稀释作用的工具挡在门外
A second convertible would add 4.0 of after-tax interest and 6.0 million shares. Its incremental EPS is $0.667. Adding that high-earnings increment to the existing diluted calculation would increase EPS: (47.4 + 4.0) ÷ (124.167 + 6.0) = $0.395, versus $0.382. Because diluted EPS must show dilution rather than improvement, this instrument is anti-dilutive and excluded for 20X6.
第二项可转债若假设转换，会加回税后利息 4.0，并增加 600 万股，增量每股收益为 0.667 美元。把这一高每股收益增量加入已有稀释计算，结果反而从 0.382 美元升至（47.4 + 4.0）÷（124.167 + 6.0）= 0.395 美元。由于稀释 EPS 应反映稀释而非改善，这项工具在 20X6 属于反稀释并应排除。
| Potential ordinary share | Numerator effect | Denominator effect | 20X6 treatment |
|---|---|---|---|
| Employee options | — | +4.5m incremental shares | Included as dilutive |
| Convertible A | +2.4 after-tax interest | +8.0m shares | Included as dilutive |
| Convertible B | +4.0 after-tax interest | +6.0m shares | Excluded as anti-dilutive |
| 潜在普通股 | 分子影响 | 分母影响 | 20X6 处理 |
|---|---|---|---|
| 员工期权 | — | +450 万增量股份 | 具有稀释性，纳入 |
| 可转债 A | +2.4 税后利息 | +800 万股 | 具有稀释性，纳入 |
| 可转债 B | +4.0 税后利息 | +600 万股 | 具有反稀释性，排除 |
Anti-dilution is period-specific. A change in earnings, average market price, award terms, or conversion status can make an excluded instrument dilutive later. Record the instruments omitted from the current calculation and the conditions that could change their treatment.
被排除不等于没有影响反稀释判断只针对当前期间。收益、平均市场价格、奖励条款或转换状态改变，都可能使本期被排除的工具在以后产生稀释。应记录当前未纳入工具及可能改变其处理的条件。
In a loss period, adding potential shares often reduces the loss per share and is therefore anti-dilutive. Do not assume that a large option count will appear in diluted shares every period. Follow the issuer’s applicable EPS rules and reconciliation.
在亏损期间，加入潜在股份通常会减少每股亏损，因此产生反稀释。不能认为大量在外期权必然每期都进入稀释股数，必须依据发行人适用 EPS 规则与调节表。
Rewind presented periods when the share unit changes股份单位改变时，倒带重算列报期间
Assume PacketLoom completes a two-for-one share split after 31 December 20X6 but before the financial statements are authorized. Under the applicable retrospective EPS treatment, presented shares double and per-share amounts halve as if the split had occurred at the beginning of the earliest period shown. The split does not double earnings or change an owner’s proportional interest.
假设 PacketLoom 在 20X6 年 12 月 31 日后、财务报表获授权发布前完成一拆二股份拆分。依据适用的 EPS 追溯处理，列报股数应加倍、每股金额应减半，效果如同拆分自最早列报期间开始前已经发生。拆股不会让收益翻倍，也不会改变所有者的相对权益比例。
| 20X6 measure | Before split presentation | After retrospective split adjustment |
|---|---|---|
| Basic weighted-average shares | 111.667m | 223.333m |
| Basic EPS | $0.403 | $0.2015 |
| Diluted weighted-average shares | 124.167m | 248.333m |
| Diluted EPS | $0.382 | $0.191 |
| 20X6 指标 | 拆股前列报 | 追溯调整后列报 |
|---|---|---|
| 基本加权平均股数 | 1.11667 亿股 | 2.23333 亿股 |
| 基本每股收益 | 0.403 美元 | 0.2015 美元 |
| 稀释加权平均股数 | 1.24167 亿股 | 2.48333 亿股 |
| 稀释每股收益 | 0.382 美元 | 0.191 美元 |
Use the split-adjusted prior-period denominator and EPS supplied in the filing. Comparing post-split current EPS with an unadjusted historical EPS invents a decline caused solely by a change in share units.
可比性规则比较时应使用申报文件给出的拆股调整后历史分母与 EPS。若把拆股后本期 EPS 与未调整历史 EPS 比较，就会制造一个纯粹由股份单位改变造成的虚假下降。
Hold profit flat and let the denominator reveal the driver固定利润，让分母揭示每股变化驱动
To separate profit growth from share mechanics, hold ordinary earnings at 45.0 and start with 100.0 million shares. Baseline EPS is $0.450. Now change only the share count on 1 July. The experiment is calculation, not a claim about what a repurchase or issue is worth.
为了把利润增长与股数机械变化分开，固定普通股收益为 45.0，期初股份为 1 亿股，基准 EPS 为 0.450 美元。然后只改变 7 月 1 日的股数。该实验属于计算，不代表回购或增发具有何种价值。
| Flat-profit case | Weighted-average shares | Basic EPS | Change vs baseline |
|---|---|---|---|
| No share event | 100.0m | $0.450 | — |
| Repurchase 20.0m on 1 July | 100 × 6/12 + 80 × 6/12 = 90.0m | $0.500 | +11.1% |
| Issue 20.0m on 1 July | 100 × 6/12 + 120 × 6/12 = 110.0m | $0.409 | −9.1% |
| 利润持平情景 | 加权平均股数 | 基本 EPS | 相对基准变化 |
|---|---|---|---|
| 没有股份事项 | 1 亿股 | 0.450 美元 | — |
| 7 月 1 日回购 2,000 万股 | 100 × 6/12 + 80 × 6/12 = 9,000 万股 | 0.500 美元 | +11.1% |
| 7 月 1 日增发 2,000 万股 | 100 × 6/12 + 120 × 6/12 = 1.1 亿股 | 0.409 美元 | −9.1% |
A repurchase can raise EPS without raising total earnings; an issue can lower current EPS while funding future earnings or strengthening finances. EPS mechanics alone cannot judge either capital decision. Check cash paid or raised, price, financing, forgone uses, future earnings contribution, and ownership change.
回购可以在总收益不增长时提高 EPS；增发可能压低当期 EPS，却为未来收益或财务稳健提供资金。仅凭 EPS 机械变化无法评价任何一种资本决策，还要检查支付或募集现金、交易价格、融资来源、放弃的其他用途、未来收益贡献与所有权变化。
Close with an EPS reading card, not a headline用 EPS 读取卡收尾，而不是停在标题数字
| Evidence label | PacketLoom reading |
|---|---|
| Facts | Consolidated income 50.0; ordinary earnings 45.0; issue and repurchase dates as stipulated. |
| Calculations | Basic denominator 111.667m; basic EPS $0.403; diluted EPS $0.382. |
| Assumptions | One ordinary class, stated preference claim, full-year potential instruments, simplified option method, stated tax effects. |
| Judgment | Dilution reduces the per-share slice, but EPS alone says nothing about earnings durability or instrument value. |
| Missing evidence | Actual class rights, daily share ledger, award terms, average price, convertible terms, contingencies, and issuer reconciliation. |
| 证据标签 | PacketLoom 读取结果 |
|---|---|
| 事实 | 合并净利润 50.0；普通股收益 45.0；发行与回购日期均按案例设定。 |
| 计算 | 基本分母 1.11667 亿股；基本 EPS 0.403 美元；稀释 EPS 0.382 美元。 |
| 假设 | 单一普通股类别、给定优先请求权、潜在工具全年在外、简化期权法及给定税务影响。 |
| 判断 | 稀释降低每股收益切片，但 EPS 本身无法说明收益可持续性或工具价值。 |
| 缺失证据 | 真实类别权利、每日股份台账、奖励条款、平均价格、可转债条款、或有条件与发行人调节表。 |
When EPS changes, write two sentences before any conclusion: “Attributable ordinary earnings changed by X” and “weighted-average shares changed by Y.” Then explain basic-to-diluted differences instrument by instrument. This prevents a shrinking denominator from masquerading as operating growth, or a funding issue from being judged solely by immediate dilution.
EPS 变化时，在得出结论前先写两句话：“归属于普通股的收益变化 X”“加权平均股数变化 Y”，再逐项解释基本与稀释之间的工具差异。这样可以防止分母缩小伪装成经营增长，也避免仅凭即时稀释评价一次融资发行。
Build the numerator and share clock from uploaded disclosures从上传披露建立收益分子与股份时钟
Upload the income statement, attribution and non-controlling-interest notes, preference and participating-security terms, statement of equity, share-capital roll-forward, compensation plans, convertible debt terms, EPS reconciliation, and subsequent-events note. Ask InfiniSynapse Stock Explained to extract a numerator waterfall, dated ordinary-share timeline, basic-to-diluted denominator bridge, anti-dilutive exclusions, and split adjustments. Require units, dates, tax effects, methods, and source pages for every line.
Use the generated schedule as a draft to audit against the uploaded originals. Recheck class rights, signs, issue and repurchase dates, weighting fractions, average market price, option proceeds, interest add-backs, conversion shares, and retrospective adjustments; reperform every formula. AI may use closing shares instead of weighted shares, include an anti-dilutive instrument, or miss an attribution adjustment. If the original note does not support an input, keep the EPS bridge unresolved rather than guessing.
上传利润表、归属与非控制性权益附注、优先股及参与证券条款、权益变动表、股本滚动表、薪酬计划、可转债条款、EPS 调节表和期后事项附注。要求 InfiniSynapse“一眼看懂这只股票”提取分子瀑布、带日期的普通股时间轴、基本到稀释分母桥、反稀释排除项与拆股调整。每一行都必须保留单位、日期、税务影响、计算方法和来源页码。
把生成日程当作待审计草稿，并回到上传原件核对股份类别权利、正负号、发行与回购日期、时间权重、平均市场价格、期权所得款、利息加回、转换股份与追溯调整；每条公式都要亲自复算。AI 可能误用期末股数、纳入反稀释工具或遗漏归属调整。若原始附注不支持某个输入，应保留 EPS 桥未决，而不是猜测。
Include class rights, equity roll-forward, EPS note, option and convertible terms, average prices, and subsequent share events.
请包含类别权利、权益滚动表、EPS 附注、期权与可转债条款、平均价格及期后股份事项。
Open Stock Explained打开“一眼看懂这只股票”Questions that appear when the share clock is opened打开股份时钟后常见的问题
Year-end shares are a one-date balance. EPS measures a period, so shares are weighted for the time they participated. A midyear issue affects fewer months than an opening balance; a midyear repurchase removes shares only after its date.
加权平均股数为什么不同于年末股数？年末股数是单日余额，EPS 则衡量一个期间，因此股份要按参与时间加权。期中发行只影响之后月份，期中回购也只从发生日期以后减少分母。
Consolidated profit can include income attributable to non-controlling interests. Preference dividends, participating securities, and class rights can further affect earnings available to ordinary shareholders. Follow the issuer’s numerator reconciliation rather than using the headline automatically.
EPS 分子为什么可能不同于合并净利润？合并利润可能包含归属于非控制性权益的收益，优先股股息、参与证券与类别权利还会进一步改变可供普通股股东享有的金额。应依据发行人的分子调节，而不是自动使用标题数字。
Applicable option methods generally consider assumed exercise proceeds and the shares those proceeds could repurchase at an average price, so only incremental shares may remain. Compensation and tax inputs can matter. Use the issuer’s method and note, not the simplified case formula blindly.
为什么期权不会总是按一比一计入稀释股数？适用期权方法通常会考虑假设行权所得款，以及这些款项按平均价格可回购的股份，因此分母中可能只剩增量股份；薪酬与税务输入也可能重要。应服从发行人方法和附注，不能盲套简化公式。
The reported diluted measure should exclude instruments whose inclusion would improve EPS or reduce loss per share. Such instruments are anti-dilutive for that period. They may become dilutive later, so review excluded potential shares and conditions each period.
稀释 EPS 能否高于基本 EPS？报告的稀释指标应排除那些纳入后会提高 EPS 或减少每股亏损的工具，因为它们在本期具有反稀释作用。但以后可能转为稀释，因此每期都要复核被排除潜在股份及相关条件。
A split changes the number of share units without a corresponding earnings change. Retrospective adjustment places all presented periods on the same share-unit basis. Otherwise, pre-split and post-split EPS would look different for a purely mechanical reason.
拆股后为什么历史 EPS 会被修改？拆股改变股份单位数量，却没有相应改变收益。追溯调整让所有列报期间使用相同股份单位，否则拆股前后 EPS 会因纯粹机械原因看起来不同。
Not by itself. A lower denominator can raise EPS with flat profit, but the company spent cash and changed ownership claims. Evaluate purchase price, funding, alternative uses, future earnings, financial capacity, and the remaining holders’ economics separately.
回购推动 EPS 增长是否意味着创造了价值？不能单凭这一点判断。分母减少可以在利润持平时提高 EPS，但公司付出了现金并改变所有权请求权。还要分别评价回购价格、资金来源、替代用途、未来收益、财务承受力与剩余股东经济性。
Primary references for EPS and potential shares每股收益与潜在股份的一手参考
PacketLoom, its profit attribution, preference dividend, share events, options, average price, convertibles, tax effects, and split are fictional teaching inputs. The arithmetic is internally consistent but simplified; actual EPS follows the issuer’s applicable framework, instrument terms, class rights, and disclosures.
EPS does not establish earnings quality, cash generation, balance-sheet strength, intrinsic value, future returns, or suitability. Read the full statements, equity and EPS notes, instrument agreements, comparative periods, and subsequent events before forming a company-specific view.
PacketLoom、利润归属、优先股股息、股份事项、期权、平均价格、可转债、税务影响与拆股，全部是虚构教学输入。算术在案例内部一致但经过简化；真实 EPS 必须服从发行人适用会计框架、工具条款、类别权利与披露。
EPS 不能单独证明盈利质量、现金生成、资产负债表强度、内在价值、未来回报或个人适配性。形成公司具体看法前，应阅读完整报表、权益与 EPS 附注、工具协议、可比期间及期后事项。