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Quantitative techniques

Quantitative techniques in IB DP Business Management

The IB DP Business Management course (first exams 2024) includes a range of quantitative techniques that you must become familiar with. This applies to both SL and HL students. Quantitative techniques are integral to learning Business Management for numerous reasons, which include the following reasons:

  • Business Management is essentially about problem solving and decision making. Quantitative techniques can help managers and entrepreneurs to make more informed decisions, based on scientific reasoning rather than intuition.

  • Completing your internal assessment with quantitative techniques can improve the conclusion and evaluation of the research question.

  • Similarly, the extended essay tends to reach the higher mark bands if it includes aspects of quantitative analysis; relying only on qualitative techniques can result in an overly descriptive essay.

  • The questions in the Paper 2 examination are predominantly of a quantitative nature.

The following section lists the quantitative techniques covered in the syllabus. Use the hyperlink to access the notes and resources to fine-tune your understanding and application of these tools and techniques. Click the relevant icon to access the information for each unit of the syllabus.

Please note that not all quantitative techniques require calculations, although they can help to enhance student understanding. Quantitative terms, tools, and techniques that require calculations are indicated by an asterisk (*).

Unit 1 - Introduction to Business Management

Unit 2 - Human resource management

Unit 3 - Finance and Accounts

Unit 4 - Marketing

Unit 5 - Operations Management

The Business Management Toolkit (BMT)

Quantitative Techniques and formulae

There are more than 80 quantitative techniques or key terms in the new syllabus (see the list below). The quantitative techniques for HL only candidates are shown in red italic.

Note that the vast majority of the formulae for the key terms or quantitative techniques below do not appear in the formulae sheet for external assessments (pages 64 - 65 of the guide).

Also, please note that the prescribed formats for the balance sheet, profit & loss account, cash flow forecasts, budgets, and the discount factors (needed to calculate NPV) are not included in the formulae sheet for the external exams.

  • Absorption costing

  • Acid test (quick) ratio

  • Average rate of return (ARR)

  • Bar charts (descriptive statistics)

  • Break-even quantity/point

  • Buffer stock (production planning)

  • Capacity utilization rate

  • Capital productivity rate

  • Closing balance (cash flow forecasts)

  • Contribution (break-even analysis)

  • Contribution costing

  • Contribution per unit (unit contribution)*

  • Contribution pricing*

  • Cost to buy (CTB)

  • Cost to make (CTM)

  • Cost of sales (COS)

  • Creditor days (efficiency ratio analysis)

  • Current assets (balance sheet)

  • Current liabilities (balance sheet)

  • Current ratio

  • Debtor days (efficiency ratio analysis)

  • Decision trees

  • Defect rate

  • Earliest start time (critical path analysis)

  • Equity or total equity (balance sheet)

  • Free float (critical path analysis)

  • Gearing ratio (efficiency ratio analysis)

  • Gross profit (profit and loss account)

  • Gross profit margin (GPM)

  • Labour productivity rate

  • Labour turnover

  • Latest finish time (critical path analysis)

  • Lead time (production planning)

  • Line of best fit

  • Loss (break-even analysis)

  • Make or buy analysis

  • Margin of safety

  • Market share

  • Market growth

  • Mean (descriptive statistics)

  • Median (descriptive statistics)

  • Mode (descriptive statistics)

  • Net assets (balance sheet)

  • Net cash flow (cash flow forecasts)

  • Net current assets (or working capital)

  • Net present value (NPV)

  • Non-current assets (balance sheet)

  • Opening balance (cash flow forecasts)

  • Operating leverage

  • Payback period (linear method)

  • Pie charts (descriptive statistics)

  • Price elasticity of demand (PED)*

  • Productivity rate

  • Profit (balance sheet)

  • Profit (break-even analysis)

  • Profit (profit and loss account)

  • Profit after interest and tax

  • Profit before interest and tax

  • Profit before tax

  • Profit for period (income statement)

  • Profit margin (mark up)

  • Profit margin (profitability and liquidity ratio analysis)

  • Quartiles (descriptive statistics)

  • Reorder level (production planning)

  • Reorder quantity (production planning)

  • Retained profit

  • Return on capital employed (ROCE)

  • Sales forecasting

  • Sales revenue

  • Standard deviation (descriptive statistics)

  • Stock turnover ratio

  • Straight line method of depreciation

  • Target price (break-even analysis)

  • Target profit (break-even analysis)

  • Target profit output (break-even analysis)

  • Total assets (balance sheet)

  • Total contribution*

  • Total costs

  • Total float (critical path analysis)

  • Total contribution (break-even analysis)

  • Total revenue

  • Total liabilities (balance sheet)

  • Units of production depreciation rate

  • Variances (budgets)

  • Working capital (or net current assets)

* These are not listed as AO4 learning outcomes in the syllabus, although it is anticipated that many teachers will teach students the calculations to support understanding of these terms in the guide.

Formulae Quiz 1

No.FormulaKey term
1.Sales revenue – Cost of sales
2.Fixed costs / (Price – Average variable cost)
3.Opening stock + Purchases – Closing stock
4.Total variable cost + Total fixed cost
5.Current assets – Current liabilities
6.Profit (or target profit)
7.Total revenue – Total cost
8.Net profit – Gross profit
9.

(Current assets – Stock) / Current liabilities

10.Price – Average variable cost

Formulae Quiz 2

No.FormulaKey term
1.Profit after interest and tax – Dividends
2.Non-current assets + Working capital – Non-current liabilities
3.Gross profit – Expenses
4.Total assets – Total liabilities
5.Non‐current liabilities + Equity
6.(Gross profit / Sales revenue) × 100
7.Current assets / Current liabilities
8.Actual sales volume – Break-even sales volume
9.(Firm's sales revenue / Total industry's sales revenue) × 100
10.(Profit before interest and tax / Capital employed) × 100

Formulae Quiz 3 (HL only)

No.FormulaKey term
1.Reorder quantity
2.Defect rate
3.Labour productivity rate
4.Lead time
5.Straight line depreciation (per year)
6.Units of production method (depreciation)
7.Labour turnover rate
8.Variance
9.Operating leverage
10.Depreciation rate

Quantitative techniques - Units of measurement quiz

To gain a better knowledge of each of the 80+ quantitative techniques or key terms in the syllabus, make sure you know and understand the reasons for the correct unit of measurement for each of these. For example, the gross profit margin (GPM) is expressed as a percentage to 2 decimal places.

Have a go at the follow quiz and identify the correct unit of measurement for each given key term / quantitative technique.

No.Key term / Quantitative techniqueUnit of measurement
1.Cost of sales (COS)
2.Margin of safety (MOS)
3.Payback period (PBP)
4.Profit margin (mark-up)
5.Mean (descriptive statistics)
6.Average rate of return (ARR)
7.Market share
8.Working capital (net current assets)
9.Acid test
10.

Return on capital employed (ROCE)

11.Net present value (NPV) (HL only)
12.Variance (HL only)
13.Units of production depreciation rate (HL only)
14.Defect rate (HL only)
15.

Earliest start time (critical path analysis) (HL only)

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