📚 IGCSE CCEA Business: Formula Summary Handbook | IGCSE CCEA 商务：公式汇总手册
A solid command of business formulas is essential for success in IGCSE CCEA Business Studies. This handbook brings together the key equations you need to analyse revenue, costs, profit, break-even, liquidity, efficiency and more. Each formula is presented clearly with its Chinese equivalent and a short explanation, making revision straightforward and exam-focused.
熟练掌握商务公式是赢得 IGCSE CCEA 商务考试的关键。本手册汇集了分析收入、成本、利润、收支平衡、流动性、效率等所需的核心公式。每个公式都附有中文对照和简要说明，让复习更有针对性，贴近考试要求。
1. Revenue, Costs and Profit Basics | 收入、成本与利润基础
Every business decision revolves around revenue, costs and profit. Revenue is the money coming in from sales, while costs are the expenses of running the business. The difference determines whether a firm makes a profit or a loss. The following simple equations form the bedrock of financial analysis.
每一项商业决策都围绕着收入、成本和利润展开。收入是销售带来的进账，成本是经营所需的花费，两者的差额决定了企业是盈利还是亏损。以下这些简单方程构成了财务分析的基石。
Total Revenue = Price × Quantity
总收入 = 单价 × 数量。企业通过销售产品或服务获得的全部进款。
Total Costs = Fixed Costs + Variable Costs
总成本 = 固定成本 + 变动成本。固定成本不随产量变化，变动成本随产量增减而直接变化。
Total Variable Costs = Variable Cost per unit × Quantity
总变动成本 = 单位变动成本 × 产量。与产量直接挂钩的那部分成本。
Profit (or Loss) = Total Revenue – Total Costs
利润（或亏损） = 总收入 – 总成本。企业最终的财务成果，正数代表盈利，负数代表亏损。
2. Gross and Net Profit | 毛利润与净利润
When examining an income statement, two crucial profit figures appear: gross profit and net profit. Gross profit focuses on the direct costs of making sales, while net profit accounts for all other expenses as well. These measures reveal different layers of a firm’s profitability.
在利润表中，会看到两个关键的利润数字：毛利润和净利润。毛利润只考虑与销售直接相关的成本，而净利润则减去所有其他费用。这两个指标从不同层面反映了企业的盈利能力。
Gross Profit = Revenue – Cost of Sales
毛利润 = 收入 – 销售成本。衡量企业在支付直接生产成本后还剩下多少。
Net Profit = Gross Profit – Expenses
净利润 = 毛利润 – 各类费用。这里的费用包括租金、薪资、水电等间接成本。
Net Profit = Total Revenue – Total Costs
净利润也等于总收入减去总成本，这与“利润”公式完全一致，只是强调扣除了所有经营支出后的最终结余。
3. Break-even Analysis | 收支平衡分析
Break-even analysis identifies the exact output level where a business neither makes a profit nor a loss. It is a vital planning tool that helps managers set targets, decide on pricing, and assess risk. The break-even point is where total revenue and total costs are equal.
收支平衡分析能找出企业不盈不亏的精确产量水平，是一项重要的规划工具，有助于管理者制定目标、定价和评估风险。盈亏平衡点就是总收入与总成本相等时的产量。
Break-even Output (units) = Fixed Costs ÷ (Selling Price per unit – Variable Cost per unit)
盈亏平衡产量 = 固定成本 ÷ (单位售价 – 单位变动成本)。这是最常用的计算公式，分母也被称为“单位贡献”。
Break-even Output (units) = Fixed Costs ÷ Contribution per unit
或可写为：盈亏平衡产量 = 固定成本 ÷ 单位贡献。先计算出每单位贡献，再用固定成本除以它。
4. Contribution and Margin of Safety | 贡献与安全边际
Contribution is the amount each unit sold puts towards covering fixed costs and then generating profit. Once the break-even point is known, margin of safety tells a business how much sales can drop before it starts losing money. Both concepts are essential for decision-making.
贡献是每售出一个单位可用于弥补固定成本并创造利润的金额。知道盈亏平衡点之后，安全边际能告诉企业销售额可以下降多少才开始亏损。这两个概念对经营决策至关重要。
Contribution per unit = Selling Price per unit – Variable Cost per unit
单位贡献 = 单位售价 – 单位变动成本。每卖出一件产品对固定成本和利润的填补额。
Total Contribution = Total Revenue – Total Variable Costs
总贡献 = 总收入 – 总变动成本。全部销售量所带来的贡献总额。
Margin of Safety (units) = Actual Output – Break-even Output
安全边际（数量） = 实际产量 – 盈亏平衡产量。表示在亏损前可以安全下降的产量。
Margin of Safety (%) = (Margin of Safety in units ÷ Actual Output) × 100%
安全边际百分比 = (安全边际数量 ÷ 实际产量) × 100%。用相对数衡量缓冲空间的大小。
5. Profitability Ratios | 盈利能力比率
Profitability ratios express profit as a percentage of revenue, making it easier to compare performance over time or against competitors. The two most common ratios are the gross profit margin and the net profit margin, each providing unique insights into cost control and pricing strategy.
盈利能力比率将利润表示为收入的一定百分比，便于在不同时期或与竞争对手之间进行比较。最常用的两个比率是毛利率和净利率，它们分别揭示了成本控制和定价策略的有效性。
Gross Profit Margin = (Gross Profit ÷ Revenue) × 100%
毛利率 = (毛利润 ÷ 收入) × 100%。反映企业从每英镑销售收入中能保留多少用于覆盖间接成本和产生净值利润。
Net Profit Margin = (Net Profit ÷ Revenue) × 100%
净利率 = (净利润 ÷ 收入) × 100%。衡量最终每英镑收入能转化为多少纯利润。
6. Liquidity Ratios | 流动性比率
Liquidity ratios assess whether a business can meet its short-term debts as they fall due. Two ratios are key: the current ratio, which includes all current assets, and the acid test ratio, which excludes inventory because it may be harder to turn into cash quickly.
流动性比率用于判断企业是否有能力按时偿还短期债务。两个关键比率是流动比率和速动比率：前者包含全部流动资产，后者则剔除存货，因为存货变现速度可能较慢。
Current Ratio = Current Assets ÷ Current Liabilities
流动比率 = 流动资产 ÷ 流动负债。结果通常写成如 1.5:1 或 2:1 的形式，表示每一英镑流动负债有相应倍数的流动资产支撑。
Acid Test Ratio = (Current Assets – Inventory) ÷ Current Liabilities
速动比率（酸性测验比率） = (流动资产 – 存货) ÷ 流动负债。它提供更为严格的企业短期偿债能力测试。
7. Return on Capital Employed (ROCE) | 已用资本回报率
ROCE measures how efficiently a business uses the money invested in it to generate profit. A higher ROCE indicates that the business is generating more profit from each pound of capital employed, which is attractive to investors and useful for benchmarking.
已用资本回报率衡量企业使用其投资资金创造利润的效率。ROCE 越高，意味着单位资本带来的利润越多，这既吸引投资者，也是进行行业比较的有力工具。
ROCE = (Net Profit ÷ Capital Employed) × 100%
已用资本回报率 = (净利润 ÷ 已用资本) × 100%。已用资本通常等于股东权益加长期负债，或总资产减去流动负债。
Capital Employed = Total Assets – Current Liabilities
已用资本的一种简便算法：总资产 – 流动负债。代表企业长期投入经营的资金。
8. Employee Performance Metrics | 员工绩效指标
Monitoring workforce performance helps managers boost productivity, reduce turnover and control absenteeism. Key formulas relate output to employee numbers, track staff movement and measure engagement through absence rates.
监控员工绩效有助于管理者提高生产效率、降低流失率并控制缺勤。这些核心公式将产出与员工人数挂钩，追踪人员流动，并通过缺勤率衡量员工参与度。
Labour Productivity = Output ÷ Number of Employees
劳动生产率 = 总产出 ÷ 员工人数。每位员工在一定时期内平均创造的产量，是衡量效率的主要指标。
Labour Turnover = (Number of Staff Leaving in a Period ÷ Average Number of Staff) × 100%
员工流失率 = (某一时期离职人数 ÷ 平均员工人数) × 100%。反映企业留住人才的能力和招聘成本压力。
Absenteeism Rate = (Number of Staff Absent ÷ Total Number of Staff) × 100%
缺勤率 = (缺勤员工人数 ÷ 员工总人数) × 100%。高缺勤率往往暗示士气问题或工作条件不佳。
9. Operational Efficiency | 运营效率
Operational efficiency looks at how fully a business uses its available resources. Capacity utilisation is the most common measure, showing the percentage of maximum potential output that is actually being achieved. Unit cost can also help assess how efficiently production is running.
运营效率关注企业对其可用资源的利用程度。产能利用率是最常用的指标，它展示实际产出占最大可能产出的百分比。单位成本也能帮助判断生产运作是否高效。
Capacity Utilisation = (Actual Output ÷ Maximum Possible Output) × 100%
产能利用率 = (实际产出 ÷ 最大可能产出) × 100%。数值越接近 100%，说明生产能力利用得越充分。
Unit Cost (Average Cost) = Total Costs ÷ Output
单位成本（平均成本） = 总成本 ÷ 产出数量。每生产一单位产品平均花费的成本，企业通过规模经济来降低它。
10. Inventory Management Metrics | 库存管理指标
Effective inventory management ensures that a business holds enough stock to meet demand without tying up too much cash. Inventory turnover measures how quickly stock is sold and replaced. The holding period shows the average number of days inventory stays in the warehouse.
有效的库存管理能够确保企业既不缺货，也不占用过多资金。库存周转率衡量存货被售出和补货的速度；库存持有天数则反映货物平均在仓库中存放的天数。
Inventory Turnover = Cost of Sales ÷ Average Inventory
库存周转次数 = 销售成本 ÷ 平均库存。这个比率显示一定时期内库存被清空和重置的次数。
Average Inventory Turnover Period (days) = (Average Inventory ÷ Cost of Sales) × 365
平均库存周转天数 = (平均库存 ÷ 销售成本) × 365 天。将周转次数转化为更直观的持有天数，越低代表流动性越强。
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