Pre-U Edexcel Accounting: Formula and Theorem Quick Reference Handbook | Pre-U Edexcel 会计：公式定理速查手册

📚 Pre-U Edexcel Accounting: Formula and Theorem Quick Reference Handbook | Pre-U Edexcel 会计：公式定理速查手册

This handbook distils the essential formulas, key ratios, and fundamental accounting theorems required for the Pre-U Edexcel Accounting syllabus. It is designed as a rapid revision tool to help you confidently tackle financial analysis, management accounting, and decision-making questions.

本手册浓缩了 Pre-U Edexcel 会计大纲所要求的核心公式、关键比率和基本会计定理。它旨在作为快速复习工具，帮助你有把握地应对财务报表分析、管理会计和决策问题。

1. The Accounting Equation | 会计等式

The accounting equation is the cornerstone of double-entry bookkeeping. It ensures that every financial transaction preserves the balance between what a business owns and what it owes.

会计等式是复式记账法的基石。它确保每一笔财务交易都能维持企业所拥有资产与所欠权益之间的平衡。

Assets = Liabilities + Equity

Equity expands to reflect the inputs of the owner and the results of operations. The extended equation links the income statement and the statement of financial position.

所有者权益可进一步扩展，以反映所有者的投入和经营成果。扩展后的等式将损益表与财务状况表联系在一起。

Assets = Liabilities + Capital + (Revenue − Expenses − Drawings)

This dual aspect concept means that every debit must have a corresponding credit. It forms the basis for the trial balance and ensures the books remain arithmetically accurate.

这种双重性概念意味着每一笔借方都必须有相应的贷方。它构成了试算平衡表的基础，并确保账簿在算术上保持准确。

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2. Core Accounting Concepts and Theorems | 核心会计概念与定理

Beyond formulas, several underpinning concepts govern how transactions are recognised, measured, and reported. These are often referred to as accounting conventions or theorems.

除了公式之外，若干基础性概念支配着交易的确认、计量和报告方式。这些通常被称为会计惯例或定理。

• Going Concern: The entity is assumed to continue operating for the foreseeable future. This justifies the use of historical cost rather than forced-sale valuations.

  持续经营：假设主体在可预见的未来将继续运营。这为采用历史成本而非强制出售估值提供了理由。

• Accruals (Matching): Revenue and expenses are recorded in the period they are earned or incurred, not when cash changes hands. This ensures that profit reflects the true economic activity.

  权责发生制（配比）：收入和费用在其赚取或发生的期间记录，而非收付现金的期间。这确保利润反映真实的经济活动。

• Consistency: Once an accounting method is chosen, it should be applied consistently from one period to the next to allow meaningful comparison. Any change must be disclosed.

  一致性：一旦选择了某种会计方法，就应在各期之间一贯运用，以便进行有意义的比较。任何变更必须予以披露。

• Prudence: Income and assets are not overstated, and expenses and liabilities are not understated. This introduces a cautious bias into financial statements, particularly when valuing inventory at the lower of cost and net realisable value.

  审慎性：不高估收入和资产，也不低估费用和负债。这给财务报表带来谨慎的偏向，尤其是在按成本与可变现净值孰低法对存货进行计价时。

• Materiality: Information is material if its omission or misstatement could influence the economic decisions of users. Immaterial items can be aggregated or treated in a simpler manner.

  重要性：如果信息的省略或错报会影响使用者的经济决策，则该信息是重要的。非重要项目可以汇总或以简化的方式处理。

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3. Profitability Ratios | 盈利能力比率

Profitability ratios measure the business’s ability to generate earnings relative to sales, assets, and equity. They are central to evaluating the financial health of an entity.

盈利能力比率衡量企业相对于销售额、资产和权益产生盈利的能力。它们是评估主体财务健康状况的核心。

Ratio	Formula	Interpretation
Gross Profit Margin	(Gross Profit ÷ Revenue) × 100%	Shows the percentage of revenue left after covering direct costs of sales.
Net Profit Margin	(Net Profit before Tax ÷ Revenue) × 100%	Indicates overall profitability after all operating expenses and finance costs.
Return on Capital Employed (ROCE)	(Profit before Interest & Tax ÷ Capital Employed) × 100%	Measures how efficiently a business uses its long-term capital to generate profit.

Capital Employed is typically calculated as Total Assets minus Current Liabilities, or as Equity plus Non-current Liabilities. A high ROCE indicates effective management of resources.

资本运用通常计算为总资产减去流动负债，或所有者权益加非流动负债。较高的资本报酬率表明资源管理有效。

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4. Liquidity Ratios | 流动性比率

Liquidity ratios assess the company’s ability to meet short-term obligations as they fall due. They focus on the relationship between current assets and current liabilities.

流动性比率评估企业在短期债务到期时履行义务的能力。它们关注流动资产与流动负债之间的关系。

Current Ratio = Current Assets ÷ Current Liabilities

The current ratio gauges the margin of safety available to cover short-term debts. A ratio between 1.5:1 and 2:1 is often regarded as healthy, though it varies by industry.

流动比率衡量可用于偿还短期债务的安全边际。尽管因行业而异，1.5:1 至 2:1 的比率通常被视为健康。

Quick Ratio (Acid Test) = (Current Assets − Inventory) ÷ Current Liabilities

The quick ratio excludes inventory, which may be slow to convert into cash. A result close to 1:1 suggests robust short-term liquidity without relying on inventory sales.

速动比率排除了变现速度可能较慢的存货。结果接近 1:1 表明在不依赖存货销售的情况下，短期流动性稳健。

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5. Efficiency Ratios | 营运效率比率

Efficiency ratios reveal how well management utilises assets and controls working capital. They are crucial for identifying potential cash flow bottlenecks.

营运效率比率揭示管理层如何有效利用资产和控制营运资本。它们对于识别潜在的现金流瓶颈至关重要。

Inventory Turnover = Cost of Sales ÷ Average Inventory

This ratio indicates how many times inventory is sold and replaced over a period. A higher turnover suggests efficient stock management and less risk of obsolescence.

这一比率表明存货在一个期间内被售出和重置的次数。较高的周转率意味着高效的存货管理和较低的过时风险。

Inventory Turnover Period (Days) = (Average Inventory ÷ Cost of Sales) × 365

Receivables Collection Period (Days) = (Average Trade Receivables ÷ Credit Sales) × 365

Payables Payment Period (Days) = (Average Trade Payables ÷ Credit Purchases) × 365

These days-based formulas help a business monitor the speed of its cash conversion cycle. A shorter receivables period and an appropriately managed payables period improve liquidity.

这些以天数为单位的公式有助于企业监控其现金转换周期的速度。较短的应收账款周转期和合理管理的应付账款周转期都能改善流动性。

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6. Gearing and Investor Ratios | 杠杆与投资者比率

Gearing ratios define the proportion of capital financed by debt, while investor ratios provide insights into shareholder returns and market perception. Both are essential for corporate finance analysis.

杠杆比率界定由债务融资的资本比例，而投资者比率则提供有关股东回报和市场认知的洞见。两者对公司财务分析都至关重要。

Gearing Ratio = Non-current Liabilities ÷ (Non-current Liabilities + Equity) × 100%

Alternatively, the debt-to-equity ratio is commonly used. A highly geared company carries greater financial risk, but can also generate higher equity returns when profits are strong.

或者，负债对权益比率也常被使用。高杠杆公司承担更大的财务风险，但在利润强劲时也能产生更高的权益回报。

Earnings Per Share (EPS) = (Net Profit − Preference Dividends) ÷ Weighted Average Ordinary Shares

Price/Earnings (P/E) Ratio = Market Price per Share ÷ Earnings Per Share

Dividend Yield = (Dividend per Share ÷ Market Price per Share) × 100%

EPS indicates the profit attributable to each ordinary share. The P/E ratio reflects market confidence, while dividend yield shows the cash return on the investment.

每股收益表示归属于每一普通股的利润。市盈率反映市场信心，而股息率则显示投资的现金回报。

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7. Break-Even Analysis | 盈亏平衡分析

Break-even analysis examines the relationship between costs, sales volume, and profit. It determines the point at which total revenue equals total costs, yielding zero profit or loss.

盈亏平衡分析探究成本、销量与利润之间的关系。它确定总收入等于总成本、利润为零的临界点。

Contribution per Unit = Selling Price per Unit − Variable Cost per Unit

Break-Even Point (Units) = Total Fixed Costs ÷ Contribution per Unit

Break-Even Revenue = Break-Even Point (Units) × Selling Price per Unit

Alternatively, if the contribution margin ratio (contribution ÷ revenue) is known, the break-even revenue can be found by dividing fixed costs by that ratio.

或者，如果已知贡献毛利率（贡献÷收入），可以通过用固定成本除以该比率来求得盈亏平衡收入。

Margin of Safety = Actual Sales Units − Break-Even Units

The margin of safety indicates how much sales can fall before the business incurs a loss. It is a critical measure of risk resilience.

安全边际表明在企业遭受亏损之前销售额可以下降多少。它是衡量抗风险能力的关键指标。

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8. Inventory Valuation Methods | 存货计价方法

Inventory valuation directly affects reported profit and the value of current assets. Pre-U Edexcel Accounting requires familiarity with FIFO, AVCO, and the lower of cost and net realisable value rule.

存货计价直接影响报告的利润和流动资产的价值。Pre-U Edexcel 会计要求熟悉先进先出法、平均成本法以及成本与可变现净值孰低规则。

FIFO (First-In, First-Out) assumes the oldest inventory is sold first. Closing inventory consists of the most recent purchases, reflecting current costs on the statement of financial position.

先进先出法假设最早购入的存货先售出。期末存货由最近购入的存货组成，在财务状况表上反映现时成本。

AVCO (Weighted Average Cost) recalculates the average cost after each purchase. It smooths out price fluctuations and is widely used by businesses with homogenous inventory.

加权平均成本法在每次购入后重新计算平均成本。它平息了价格波动，被存货同质性较高的企业广泛采用。

Weighted Average Cost = Total Cost of Goods Available for Sale ÷ Total Units Available

Regardless of the method, inventory must be reported at the lower of cost and net realisable value (NRV) to comply with the prudence concept.

无论采用哪种方法，为了遵循审慎性原则，存货必须按成本与可变现净值孰低列报。

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9. Depreciation Methods | 折旧方法

Depreciation allocates the cost of a non-current asset over its useful life. The two primary methods are straight-line and reducing balance, each suited to different asset usage patterns.

折旧将非流动资产的成本在其使用寿命内进行分摊。两种主要方法是直线法和余额递减法，各自适用于不同的资产使用模式。

Straight-Line Depreciation = (Cost − Residual Value) ÷ Useful Life (years)

This method charges an equal amount each year, making it simple and ideal for assets that generate steady benefits, such as buildings and office furniture.

该方法每年计提相等金额，简单易用，最适合产生稳定效益的资产，如建筑物和办公家具。

Reducing Balance Depreciation = Net Book Value × Depreciation Rate%

Under the reducing balance method, depreciation decreases over time as the asset’s book value declines. This is appropriate for machinery that loses efficiency more rapidly in early years.

在余额递减法下，随着资产账面价值的下降，折旧额随时间递减。这适用于效率在早期更快丧失的机器设备。

The accumulated depreciation is deducted from the asset’s cost in the statement of financial position to arrive at the net book value.

累计折旧在财务状况表中从资产成本中扣除，以得出账面净值。

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10. Budgetary Control and Variances | 预算控制与差异分析

Budgets translate plans into monetary terms, while variance analysis compares actual outcomes to budgeted figures. This helps management pinpoint deviations and take corrective action.

预算将计划转化为货币形式，而差异分析则将实际结果与预算数字进行比较。这有助于管理层查明偏差并采取纠正措施。

Sales Price Variance = (Actual Price − Budgeted Price) × Actual Units Sold

Sales Volume Variance = (Actual Units Sold − Budgeted Units) × Budgeted Contribution per Unit

On the cost side, key variances include material price and usage variances, labour rate and efficiency variances, and variable overhead variances.

在成本方面，关键差异包括材料价格和用量差异、人工工资率和效率差异以及变动间接费用差异。

Material Price Variance = (Standard Price − Actual Price) × Actual Quantity Purchased

Material Usage Variance = (Standard Quantity for Actual Output − Actual Quantity) × Standard Price

Favourable variances occur when actual results are better than budgeted (e.g., lower costs or higher revenue); adverse variances indicate the opposite. Timely variance reporting supports flexible decision-making.

当实际结果好于预算（如成本降低或收入提高）时，出现有利差异；不利差异则相反。及时的差异报告支持灵活的决策制定。

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11. Investment Appraisal Formulae | 投资评估公式

Investment appraisal techniques evaluate the viability of long-term projects. The Pre-U syllabus includes payback, accounting rate of return, and net present value (NPV).

投资评估技术用于评价长期项目的可行性。Pre-U 大纲包括回收期、会计报酬率和净现值（NPV）。

Payback Period = Year Before Full Recovery + (Unrecovered Cost at Start of Year ÷ Cash Flow During Year)

Payback measures the time required to recoup the initial investment. It is simple but ignores the time value of money and post-payback cash flows.

回收期衡量收回初始投资所需的时间。它简单易用，但忽略了货币的时间价值和回收期后的现金流。

Accounting Rate of Return (ARR) = (Average Annual Profit ÷ Initial Investment) × 100%

ARR expresses the average profit as a percentage of the investment, using accrual-based profit. It is easy to understand but does not discount future earnings.

会计报酬率使用应计制利润，将平均利润表示为投资的百分比。它易于理解，但不对未来盈利进行贴现。

Net Present Value = Σ [Cash Flowₜ ÷ (1 + r)ᵗ] − Initial Investment

NPV discounts all expected future cash flows to their present value using a chosen discount rate r. A positive NPV means the project should be accepted because it adds value.

净现值使用选定的贴现率 r，将所有预期的未来现金流贴现为现值。正净现值意味着项目应当被接受，因为它增加了价值。

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12. Working Capital and Cash Operating Cycle | 营运资本与现金周转周期

Effective working capital management ensures the business has sufficient liquidity to maintain daily operations. The cash operating cycle connects inventory, receivables, and payables days.

有效的营运资本管理确保企业有足够的流动性来维持日常运营。现金周转周期将存货周转天数、应收账款天数和应付账款天数联系在一起。

Working Capital = Current Assets − Current Liabilities

Cash Operating Cycle = Inventory Turnover Period + Receivables Collection Period − Payables Payment Period

A shorter cycle reduces the need for external financing. Firms aim to minimise inventory and receivables periods while negotiating lengthier payment terms with suppliers, provided it does not damage relationships.

较短的周期减少对外部融资的需求。公司力求缩短存货和应收账款周转天数，同时与供应商协商较长的付款期限，前提是不损害合作关系。

Free cash flow, an extension of working capital analysis, can be approximated by deducting capital expenditure from net cash from operating activities. This metric reveals the cash truly available to shareholders and debt providers.

作为营运资本分析的延伸，自由现金流可通过从经营活动净现金中扣减资本支出近似得到。这一指标揭示了股东和债务提供者可真正获得的现金。

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