📚 A-Level AQA Business: Formula Summary Handbook | A-Level AQA 商务：公式汇总手册
This comprehensive guide brings together every key financial and quantitative formula required for the AQA A-Level Business specification. From profitability and liquidity analysis to break‑even, investment appraisal and HR metrics, you will find clear explanations paired with precise formula notation. All symbols use standard mathematical characters ready for calculator use, helping you master the numerical side of business decision‑making.
这份全面的指南汇集了 AQA A-Level 商务课程所要求的每一项关键财务和定量公式。从盈利能力与偿债能力分析到盈亏平衡、投资评估以及人力资源指标，您将看到清晰的释义与准确的公式符号。所有符号均采用标准数学字符，可直接用于计算器，助您掌握商业决策中数字分析的一面。
1. Profitability Ratios | 盈利能力比率
Profitability ratios assess a business’s ability to generate earnings relative to its sales, assets and equity. They are fundamental for comparing performance over time and against competitors.
盈利能力比率评估企业相对于其销售额、资产和权益创造收益的能力。它们是进行期间比较和与竞争对手对标的基础性指标。
Gross Profit Margin = (Gross Profit ÷ Sales Revenue) × 100%
The gross profit margin reveals how efficiently a firm converts raw materials and direct labour into profit before deducting overheads. A high margin suggests strong pricing power or low direct costs.
毛利率揭示了企业在扣除间接费用之前将原材料和直接人工转化为利润的效率。高毛利率表明较强的定价能力或较低的直接成本。
Operating Profit Margin = (Operating Profit ÷ Sales Revenue) × 100%
Operating profit margin measures profitability after both direct costs and operating expenses (such as rent and salaries). It reflects the core trading efficiency of the business.
营业利润率衡量扣除直接成本和营业费用（如租金和工资）之后的盈利能力。它反映了企业的核心经营效率。
Profit for the Year Margin = (Profit for the Year ÷ Sales Revenue) × 100%
This margin takes every expense, tax and interest into account, showing the percentage of each pound of sales that becomes distributable profit. It is the bottom‑line measure watched by shareholders.
该利润率考虑了所有费用、税费和利息，显示了每英镑销售额中转化为可分配利润的百分比。它是股东关注的底线指标。
Return on Capital Employed (ROCE) = (Operating Profit ÷ Capital Employed) × 100%
ROCE evaluates the return generated from all long‑term funding invested in the business. Capital employed is defined as total equity plus non‑current liabilities, or equivalently total assets less current liabilities. A business should aim for ROCE above the cost of borrowing.
ROCE 评估企业投入的所有长期资金所带来的回报。资本占用定义为总权益加上非流动负债，或等价地总资产减去流动负债。企业应力求 ROCE 高于借贷成本。
2. Liquidity Ratios | 偿债能力比率
Liquidity ratios indicate a firm’s capacity to meet short‑term obligations using its readily available assets. They are vital for assessing going concern risks.
偿债能力比率反映企业利用其随时可用的资产偿还短期债务的能力。它们对评估持续经营风险至关重要。
Current Ratio = Current Assets ÷ Current Liabilities
The current ratio expresses the relationship between all assets that will convert to cash within one year and all debts that must be settled in the same period. A figure between 1.5 and 2.0 is typically considered healthy, though industry norms vary.
流动比率表示一年内将转化为现金的所有资产与需要在同期偿还的所有债务之间的关系。通常认为 1.5 至 2.0 的数值较为健康，但行业标准有所不同。
Acid Test Ratio = (Current Assets − Inventories) ÷ Current Liabilities
The acid test ratio strips out inventories, which are often the least liquid current asset. It provides a stricter assessment of whether a business can settle immediate liabilities without relying on selling stock.
速动比率剔除了存货——往往是最缺乏流动性的流动资产。它对企业在不依赖出售存货的情况下能否偿还即时债务提供了更严格的评估。
3. Efficiency Ratios | 运营效率比率
Efficiency ratios monitor how effectively management controls working capital items. They measure the speed at which inventory moves, receivables are collected and payables are paid.
运营效率比率监控管理层对营运资本项目的控制效率。它们衡量存货周转、应收账款回收以及应付账款支付的快慢。
Inventory Turnover (days) = (Average Inventories ÷ Cost of Sales) × 365
This ratio shows the average number of days inventory is held before being sold. A lower figure can indicate efficient stock management, but too low may risk stock‑outs.
该比率显示存货在售出之前平均持有的天数。较低的数值可能表明库存管理高效，但过低则可能导致缺货风险。
Receivables Days = (Trade Receivables ÷ Sales Revenue) × 365
Receivables days measure how long, on average, credit customers take to pay. A business will compare this figure against its agreed credit terms; a persistent rise can signal collection problems.
应收账款周转天数衡量赊销客户平均需要多长时间付款。企业会将此数值与约定的信用期限进行比较；持续上升可能预示回收问题。
Payables Days = (Trade Payables ÷ Cost of Sales) × 365
Payables days reveal the average time a business takes to settle its own credit purchases. While lengthening this period conserves cash, it must be balanced against the risk of damaging supplier relationships.
应付账款周转天数揭示企业平均需要多长时间来结清其赊购款项。延长付款期可以节省现金，但必须与损害供应商关系的风险相平衡。
4. Shareholder Ratios | 股东回报比率
Shareholder ratios are used to judge the financial return and market standing of a company from the perspective of its owners. They are especially important for public limited companies.
股东回报比率用于从所有者的角度评判一家公司的财务回报和市场地位。它们对于上市公司尤其重要。
Earnings per Share (EPS) = (Profit for the Year − Preference Dividends) ÷ Number of Issued Ordinary Shares
EPS communicates the amount of profit that belongs to each ordinary share. Rising EPS tends to drive up investor confidence and share price.
每股收益传达了归属于每一普通股的利润数额。EPS 上升往往提振投资者信心并推高股价。
Price/Earnings Ratio = Market Price per Share ÷ Earnings per Share
The P/E ratio is a market‑based indicator showing how much investors are willing to pay for each pound of earnings. A high P/E suggests strong growth expectations.
市盈率是一个基于市场的指标，显示投资者愿意为每一英镑盈利支付多少价格。高市盈率意味着强劲的增长预期。
Dividend Yield = (Dividend per Share ÷ Market Price per Share) × 100%
Dividend yield measures the cash return a shareholder receives compared to the current share price. Income‑focused investors favour higher yields.
股息收益率衡量股东获得的现金回报与当前股价的对比。注重收入的投资者青睐更高的收益率。
5. Gearing Ratio | 杠杆比率
Gearing analyses the proportion of a business’s long‑term finance that comes from debt. It is a key measure of financial risk because interest must be paid irrespective of profit levels.
杠杆比率分析企业长期资金中来自债务的比例。它是衡量财务风险的关键指标，因为无论盈利水平如何，利息都必须支付。
Gearing = (Non‑Current Liabilities ÷ (Total Equity + Non‑Current Liabilities)) × 100%
A gearing ratio above 50% is often considered high, signalling heavy reliance on borrowing. Lenders and investors watch this ratio closely when assessing creditworthiness.
杠杆比率超过 50% 通常被视为较高，表明对借款的严重依赖。贷款方和投资者在评估信用可靠度时密切关注该比率。
6. Investment Appraisal | 投资评估
Investment appraisal techniques help managers decide whether to proceed with a capital project. The three main methods are payback period, average rate of return (ARR) and net present value (NPV).
投资评估技术帮助管理者决定是否推进资本项目。三个主要方法是投资回收期法、平均回报率法 (ARR) 和净现值法 (NPV)。
Payback Period = Point when cumulative net cash inflows equal initial outlay
Payback calculates how quickly the initial investment is recovered. There is no single formula; instead you list annual cash inflows until the total matches the initial cost. The shorter the payback, the lower the risk.
投资回收期计算初始投资多快能够收回。它没有单一的公式，而是列出每年的现金流入，直到总额等于初始成本。回收期越短，风险越低。
ARR = (Average Annual Profit ÷ Initial Investment) × 100%
ARR expresses the expected yearly accounting profit as a percentage of the amount invested. When using an average investment approach, the denominator becomes (Initial investment + scrap value) ÷ 2. The project with the highest ARR is preferred under this method.
ARR 将预期的年均会计利润表示为投资额的百分比。当采用平均投资法时，分母变为 （初始投资 + 残值）÷ 2。此方法下倾向于选择 ARR 最高的项目。
NPV = Σ (Net Cash Flow × Discount Factor) − Initial Investment
NPV discounts future cash flows to today’s value using a given cost of capital. A positive NPV means the project should increase shareholder wealth. Discount factors are obtained from present value tables supplied in the exam.
NPV 使用给定的资本成本将未来现金流折算为今日的价值。正的 NPV 意味着项目应能增加股东财富。贴现系数从考试提供的现值表中获取。
7. Break‑Even Analysis | 盈亏平衡分析
Break‑even analysis identifies the level of output needed to cover all costs, giving managers a clear target before any profit is made.
盈亏平衡分析确定覆盖所有成本所需的产出水平，为管理者提供在盈利之前的明确目标。
Break‑Even Output = Fixed Costs ÷ Contribution per Unit
The break‑even point in units tells you how many items must be sold so that total revenue equals total costs. At this point there is neither profit nor loss.
以数量计的盈亏平衡点告诉您必须销售多少件产品才能使总收入等于总成本。在该临界点不存在利润或亏损。
Break‑Even Revenue = Break‑Even Output × Selling Price
To express break‑even in monetary terms, simply multiply the break‑even units by the selling price per unit. This is useful when a business sells multiple products.
要以货币表示盈亏平衡，只需将盈亏平衡数量乘以单位售价即可。当企业销售多种产品时此公式尤为有用。
8. Contribution & Margin of Safety | 贡献毛利与安全边际
Contribution is the core of marginal costing and decision‑making. Understanding it enables profit planning and risk assessment.
贡献毛利是边际成本法和决策制定的核心。理解它有助于利润规划和风险评估。
Contribution per Unit = Selling Price − Variable Cost per Unit
Each unit sold contributes a fixed amount towards covering fixed costs and, once these are covered, towards profit. It is a simple yet powerful tool for pricing and product‑mix decisions.
每销售一个单位会贡献一个固定金额，首先用于覆盖固定成本，此后则转为利润。它是定价和产品组合决策中简单而强大的工具。
Total Contribution = Contribution per Unit × Quantity Sold
Profit = Total Contribution − Fixed Costs. Therefore, any increase in total contribution flows directly to profit once fixed costs are unchanged.
利润 = 总贡献 − 固定成本。因此，只要固定成本不变，总贡献的任何增加都会直接转化为利润。
Margin of Safety = Actual Output − Break‑Even Output
The margin of safety shows how much sales can fall before the business starts to make a loss. It can also be expressed as a percentage: (Margin of safety ÷ Actual output) × 100%.
安全边际显示在开始亏损之前销售量可以下降的幅度。它也可用百分比表示：（安全边际 ÷ 实际产量）× 100%。
Units to Achieve Target Profit = (Fixed Costs + Target Profit) ÷ Contribution per Unit
When a specific profit objective is set, this rearrangement of the break‑even formula tells managers the required sales volume.
当设定了特定的利润目标时，该盈亏平衡公式的变换可告知管理者所需的销售量。
9. Operational Performance Metrics | 运营绩效指标
Operations formulas quantify productivity, cost control and the utilisation of productive capacity. They link directly to competitiveness and efficiency.
运营公式量化生产率、成本控制和产能利用率。它们直接与竞争力和效率相关联。
Labour Productivity = Total Output per Period ÷ Number of Employees
Output can be measured in units or in revenue terms. Rising labour productivity indicates that the workforce is generating more value with the same headcount.
产出可用产量或收入衡量。劳动生产率的上升表明在同样员工人数下劳动力创造了更多价值。
Unit Cost = Total Costs ÷ Number of Units Produced
Reducing unit cost is a central goal of operations management. It can be achieved through economies of scale, lean production or better supply deals.
降低单位成本是运营管理的中心目标。可通过规模经济、精益生产或更优的供应协议实现。
Capacity Utilisation = (Actual Output ÷ Maximum Possible Output) × 100%
This rate expresses how much of a firm’s productive potential is being used. Very high utilisation can strain resources, while very low utilisation suggests wasted capacity and higher unit fixed costs.
该比率表示企业生产潜力的利用程度。过高的利用率可能导致资源紧张，而过低的利用率则意味着产能浪费和单位固定成本上升。
10. Human Resource Metrics | 人力资源指标
HR metrics help a business monitor workforce stability, engagement and effectiveness. They are essential for evaluating people strategies.
人力资源指标帮助企业监控员工队伍的稳定性、敬业度和效能。它们对于评估人才策略不可或缺。
Labour Turnover = (Number of Staff Leaving in a Period ÷ Average Number of Staff) × 100%
High labour turnover raises recruitment and training costs, and often points to dissatisfaction. Benchmarking against the industry average helps set a target rate.
高员工流失率会提高招聘和培训成本，并常常表明员工不满。与行业平均水平对标有助于设定目标比率。
Absenteeism = (Number of Staff Days Absent ÷ Total Possible Working Days) × 100%
Absenteeism reflects the proportion of working time lost to unplanned absence. Chronic absenteeism disrupts production and morale.
缺勤率反映了因计划外缺勤而损失的工作时间比例。长期缺勤会扰乱生产和士气。
11. Marketing Metrics | 市场营销指标
Marketing formulas gauge a business’s competitive position and the dynamics of its customer markets. They are fundamental to setting objectives and evaluating performance.
市场营销公式衡量企业的竞争地位及其客户市场的动态。它们是设定目标和评估绩效的基础。
Market Share = (Sales of Business ÷ Total Market Sales) × 100%
Market share indicates the portion of industry demand captured by the firm. Gaining share is often a central strategic goal, particularly in mature markets.
市场份额表示企业所获得的行业需求份额。攫取市场份额通常是核心战略目标，尤其在成熟市场中。
Market Growth = (Change in Market Size ÷ Original Market Size) × 100%
This metric reveals whether the total market is expanding or shrinking. Businesses use it to decide where to invest, with high‑growth markets being more attractive.
该指标显示总体市场是扩张还是萎缩。企业以此决定投资方向，高增长市场更具吸引力。
Sales Growth = (Change in Sales Revenue ÷ Original Sales Revenue) × 100%
Sales growth tracks the rate at which a firm’s own sales are increasing. It should be analysed alongside market growth to see if the business is outperforming the market.
销售增长率跟踪企业自身销售额的增长速度。应将其与市场增长率结合分析，以判断企业是否领先市场。
12. Quantitative Decision Tools (Expected Value & Net Gain) | 定量决策工具（期望值与净收益）
Decision trees and expected value calculations bring probability into business decisions. They help managers choose between options with uncertain outcomes.
决策树和期望值计算将概率引入商业决策。它们帮助管理者在结果不确定的方案中做出选择。
Expected Value = (Probability of Success × Return in Success) + (Probability of Failure × Return in Failure)
Each branch of a decision tree calculates a weighted monetary outcome by multiplying probabilities by payoffs. The sum of these branch values gives the expected monetary value (EMV) of that option.
决策树的每一个分枝通过概率乘以回报计算出加权货币结果。这些分枝值的总和得出该方案的期望货币价值 (EMV)。
Net Gain = Expected Value − Initial Cost of the Option
To compare options fairly, the initial capital outlay must be deducted from the EMV. The option with the highest positive net gain is typically recommended, though qualitative factors must also be considered.
为了公平比较各方案，必须从 EMV 中扣除初始资本支出。通常推荐净收益正值最高的方案，但定性因素也须加以考虑。
Published by TutorHao | Business Revision Series | aleveler.com
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