IB SL

IB Business Management SL 2026 — Finance and Accounts

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Videos on this page: Final Accounts — P&L and Balance Sheet · Ratio Analysis


Sources of Finance

Every business needs money to start up, grow, and keep operating. Finance is the fuel that allows a business to acquire resources, invest in new capacity, and weather periods of low cash flow. The central choice facing managers is: where should that money come from? The answer depends on how much is needed, how quickly, at what cost, and whether the business is willing to give up ownership or control in exchange for funds.

Sources of finance are classified along two dimensions: internal vs external and short-term vs long-term.

Internal Sources

Internal sources come from within the business itself. They do not involve borrowing or selling ownership stakes, so they carry no interest cost and do not dilute shareholder control. However, they are limited by what the business has already accumulated.

  • Retained profit — The portion of after-tax profit kept in the business rather than paid as a dividend. This is the most important internal source for established, profitable businesses. It is “free” in the sense that no interest is paid, but it represents money that shareholders could otherwise have received.
  • Sale of assets — Selling assets that are no longer needed (e.g., unused machinery, surplus property) generates a one-time cash inflow. This is only available where the business holds non-essential assets, and the assets may take time to sell.
  • Working capital reduction — Tightening the management of current assets and current liabilities (e.g., collecting debtors faster, reducing inventory levels, or delaying payments to creditors) releases cash from the operating cycle without requiring external borrowing.

External Sources — Short-term

External short-term finance is typically used to cover temporary cash shortfalls or fund current operations.

  • Bank overdraft — The business is permitted to withdraw more from its bank account than the balance allows, up to an agreed limit. It is flexible — interest is only charged on the amount overdrawn — but overdrafts are repayable on demand and carry relatively high interest rates.
  • Trade credit — Suppliers allow the business to purchase goods or services now and pay later (typically 30–90 days). This is effectively an interest-free short-term loan if used within the agreed terms. It delays cash outflows without cost.
  • Debt factoring — A factor (specialist finance company) purchases the business’s outstanding debtor invoices at a discount (e.g., paying 85 cents in the dollar immediately). The business receives cash quickly but loses a percentage of the invoice value as the factor’s fee.

External Sources — Long-term

Long-term finance funds major investments: new buildings, machinery, acquisitions, or sustained expansion.

  • Share issue — Selling new shares to investors raises permanent capital. For a private limited company this means inviting new shareholders; for a public limited company it means a rights issue or new flotation. The business does not repay share capital, but shareholders expect dividends and a share of control.
  • Debentures — Long-term bonds (loans) issued by the business to investors at a fixed rate of interest for a set period. Unlike bank loans, debentures can be traded on markets. The business must pay interest regardless of profitability.
  • Bank loan — A fixed sum borrowed from a bank for a specified period at an agreed interest rate (fixed or variable). It is a straightforward, widely accessible form of long-term external finance.
  • Leasing — Rather than buying an asset outright, a business can lease it — paying regular rental payments over the asset’s useful life. Operating leases leave asset ownership with the lessor; finance leases give the lessee most of the risks and rewards of ownership. Leasing preserves cash and avoids obsolescence risk.
  • Microfinance — Small loans made to entrepreneurs in developing economies who lack access to traditional banking. Microfinance institutions (such as Grameen Bank) target low-income individuals and small businesses. Loan amounts are typically small; repayment rates are often high.

Comparison of Sources

CriterionInternalExternal
CostNo interest; but represents forgone dividendsInterest charges or dilution of ownership
AvailabilityLimited by past profitability and asset baseWider range, subject to creditworthiness
SpeedGenerally quicker (no approval process)Can be slow (loan applications, share issues)
ControlNo dilution of ownershipShare issues dilute ownership; loans may include covenants
Time horizonShort-term examplesLong-term examples
Typical durationUnder 1 year1+ years, often 5–25 years
ExamplesOverdraft, trade credit, debt factoringBank loan, share issue, debentures, leasing
Common useCover cash flow gaps, seasonal demandCapital investment, expansion, acquisition

The IB examiner frequently asks you to justify a source of finance for a specific scenario. Never just list options — always link the source to the business’s size, stage, profitability, and need. A small start-up cannot issue shares on a stock exchange. A cash-rich profitable business should use retained profit before borrowing.

For Paper 2 evaluation questions on sources of finance, structure your answer around these factors: cost (interest rate or dilution), control (does ownership change?), availability (can this business access this source?), and time (is the repayment period matched to the investment life?).


Costs and Revenues

Understanding how costs and revenues behave as output changes is foundational to all financial analysis in IB Business Management. Before calculating profit or performing break-even analysis, you must be able to classify costs correctly and calculate key financial figures.

Cost Classification

  • Fixed costs (FC) — Costs that do not change with the level of output in the short run. They must be paid even if output is zero. Examples: rent, insurance, management salaries, depreciation, interest on loans.
  • Variable costs (VC) — Costs that change directly and proportionally with the level of output. If output doubles, variable costs double. Examples: raw materials, direct labour (if paid per unit), packaging, electricity used in production.
  • Semi-variable costs — Costs that contain both a fixed element and a variable element. A sales team’s pay, for instance, might consist of a fixed salary plus a commission per unit sold. Mobile phone contracts (fixed monthly charge plus per-minute charges) are another example.

Cost and Revenue Formulas

TC=FC+VCTC = FC + VC

Revenue=Price×QuantityRevenue = Price \times Quantity

Profit=RevenueTotal CostsProfit = Revenue - Total\ Costs

Contribution per unit=Selling price per unitVariable cost per unitContribution\ per\ unit = Selling\ price\ per\ unit - Variable\ cost\ per\ unit

Total Contribution=Contribution per unit×Quantity soldTotal\ Contribution = Contribution\ per\ unit \times Quantity\ sold

Revenue

Revenue (also called sales revenue or turnover) is the total income earned from selling goods or services before any costs are deducted. It is calculated as:

Revenue=Price×QuantityRevenue = Price \times Quantity

Revenue is not the same as profit. A business may have high revenue but still make a loss if its costs exceed its income.

Profit and Contribution

Profit is the surplus remaining after all costs are deducted from revenue:

Profit=RevenueTotal CostsProfit = Revenue - Total\ Costs

Contribution is a particularly important concept for break-even analysis and decision-making. The contribution per unit is the amount each unit sold contributes toward covering fixed costs — and then to profit once fixed costs are fully covered:

Contribution per unit=Selling price per unitVariable cost per unitContribution\ per\ unit = Selling\ price\ per\ unit - Variable\ cost\ per\ unit

Worked Example — Costs, Revenue, Profit, and Contribution

A business sells handmade candles for $12 each. Variable costs per candle are $4. Monthly fixed costs are $2,400. In a given month, the business produces and sells 400 candles.

ItemCalculationValue
Revenue$12 · 400$4,800
Variable costs$4 · 400$1,600
Fixed costs(given)$2,400
Total costs$1,600 + $2,400$4,000
Profit$4,800 - $4,000$800
Contribution per unit$12 - $4$8
Total contribution$8 · 400$3,200

Note that total contribution ($3,200) minus fixed costs ($2,400) equals profit ($800). This relationship confirms the formula.

Students often confuse contribution with profit. Contribution is revenue minus variable costs only — it has not yet covered fixed costs. Profit is the amount remaining after all costs (fixed and variable) are deducted. In the example above, the $8 contribution per candle is not profit — the business only begins earning profit once the $2,400 of fixed costs has been fully covered.


Break-even Analysis

Break-even analysis identifies the output level at which a business neither makes a profit nor a loss — total revenue exactly equals total costs. It is a powerful planning tool that helps managers understand the minimum sales volume needed to avoid a loss and the safety margin available before a loss occurs.

Break-even Output

The break-even point (BEP) is calculated using:

BEP=Fixed CostsContribution per unitBEP = \frac{Fixed\ Costs}{Contribution\ per\ unit}

At break-even output, total revenue equals total costs:

Total Revenue=Total CostsTotal\ Revenue = Total\ Costs Price×BEP=FC+(VC per unit×BEP)Price \times BEP = FC + (VC\ per\ unit \times BEP)

Margin of Safety

The margin of safety is the difference between the actual (or planned) level of output and the break-even output. It shows how much output could fall before the business starts making a loss:

Margin of Safety=Actual outputBreak-even outputMargin\ of\ Safety = Actual\ output - Break\text{-}even\ output

A positive margin of safety means the business is operating above break-even and can absorb a fall in demand without moving into loss.

The Break-even Chart

A break-even chart plots output on the horizontal axis (x-axis) and costs/revenue (in currency) on the vertical axis (y-axis). Three lines are drawn:

  1. Fixed cost line — a horizontal line starting at the y-axis at the level of total fixed costs. It does not slope because fixed costs do not change with output.
  2. Total cost line — starts at the same y-intercept as the fixed cost line (because total costs at zero output equal fixed costs) and slopes upward. The gradient equals the variable cost per unit.
  3. Revenue line — starts at the origin (zero revenue at zero output) and slopes upward. The gradient equals the selling price per unit.

The break-even point is where the total cost line and the revenue line intersect. To the left of this point, total costs exceed revenue — the business is making a loss. To the right, revenue exceeds total costs — the business is profitable.

Limitations of Break-even Analysis

Break-even analysis is a useful but simplified model. Key limitations include:

  • It assumes all output is sold — in reality, unsold inventory accumulates and revenue does not equal output times price.
  • It assumes costs and prices remain constant — variable costs may change with bulk purchasing; selling prices may change with promotions or discounts.
  • It treats variable costs as perfectly linear — in practice, costs per unit may fall at higher volumes (economies of scale) or rise (bottlenecks).
  • It is a static model — it shows one break-even point at a moment in time and does not capture changes in the business environment.
  • It is most reliable for single-product businesses; multi-product businesses require more complex analysis.

Worked Example — Break-even Point and Margin of Safety

A business produces artisan notebooks. Each notebook sells for $20. Variable costs per notebook are $8. Monthly fixed costs are $3,600. The business currently produces and sells 450 notebooks per month.

Step 1 — Contribution per unit:

Contribution per unit=$20$8=$12Contribution\ per\ unit = \$20 - \$8 = \$12

Step 2 — Break-even output:

BEP=360012=300 notebooksBEP = \frac{3600}{12} = 300 \text{ notebooks}

Step 3 — Margin of safety:

MoS=450300=150 notebooksMoS = 450 - 300 = 150\ notebooks

Interpretation: The business must sell at least 300 notebooks to cover all costs. It currently sells 450, so it has a margin of safety of 150 units — output could fall by up to 150 notebooks before the business makes a loss.

In Paper 1 data-response questions, you may be asked to draw a break-even chart. Always: (1) label both axes; (2) mark the break-even point with dotted lines to both axes; (3) shade and label the profit or loss area; and (4) mark the current output and the margin of safety on the x-axis.


Financial Statements (Final Accounts)

Final accounts are formal financial statements prepared at the end of an accounting period to show what a business has earned and what it owns or owes. The two key statements for IB SL are the Income Statement (Profit and Loss Account) and the Balance Sheet (Statement of Financial Position).

The Income Statement

The income statement shows a business’s financial performance over a period of time (typically one year). It matches revenues earned against costs incurred to arrive at profit or loss.

Structure of the Income Statement:

LineDescription
Revenue (Turnover)Total income from sales of goods/services
Less: Cost of Goods Sold (COGS)Direct costs of producing the goods sold (opening inventory + purchases - closing inventory)
= Gross ProfitRevenue minus COGS — profit from core trading before operating expenses
Less: Operating ExpensesIndirect costs: rent, salaries, marketing, depreciation, utilities
= Profit Before Tax (Operating Profit)Gross profit minus operating expenses
Less: TaxCorporate tax on profit
= Net Profit (Profit After Tax)The “bottom line” — available for dividends or retained in the business

Simplified Income Statement Example:

Item$000
Revenue500
Less: Cost of Goods Sold(200)
Gross Profit300
Less: Operating Expenses(180)
Profit Before Tax120
Less: Tax (20%)(24)
Net Profit96

The Balance Sheet

The balance sheet shows a business’s financial position at a single point in time. It is a snapshot of what the business owns (assets) and what it owes (liabilities), and the residual claim of owners (equity).

The Fundamental Accounting Equation:

Assets=Liabilities+EquityAssets = Liabilities + Equity

This equation must always balance. Every transaction affects at least two items, keeping both sides equal.

Structure of the Balance Sheet:

SectionExamples
Non-current assets (fixed assets)Property, machinery, vehicles, intangibles (patents, goodwill)
Current assetsInventory (stock), trade debtors, cash and bank balances
Current liabilitiesTrade creditors, overdraft, tax payable (due within 1 year)
Non-current liabilitiesLong-term bank loans, debentures (due after 1 year)
Equity (shareholders’ funds)Share capital + retained profit (reserves)

Simplified Balance Sheet Example:

Item$000$000
Non-current Assets
Property and Equipment400
Current Assets
Inventory60
Trade Debtors80
Cash30
Total Current Assets170
Total Assets570
Equity
Share Capital200
Retained Profit130
Total Equity330
Non-current Liabilities
Long-term Loan150
Current Liabilities
Trade Creditors70
Tax Payable20
Total Current Liabilities90
Total Equity and Liabilities570

Students frequently place inventory under current liabilities or confuse debtors with creditors. Remember: debtors owe money to the business (a current asset — someone owes you); creditors are owed money by the business (a current liability — you owe someone). Inventory is a current asset. Overdrafts are current liabilities.


Watch: Final Accounts — P&L and Balance Sheet

lewwinski · 18 min · Constructing profit & loss statements, balance sheets, and depreciation — IB unit 3.4

Profitability and Liquidity Ratios

Ratio analysis uses figures from the income statement and balance sheet to assess a business’s profitability (how efficiently it generates profit) and liquidity (its ability to meet short-term obligations). Ratios are most meaningful when compared to previous years, industry benchmarks, or competitor data — a ratio in isolation tells you little.

Profitability Ratios

Gross Profit Margin (GPM) measures the percentage of revenue retained after direct production costs:

GPM=Gross ProfitRevenue×100GPM = \frac{Gross\ Profit}{Revenue} \times 100

Net Profit Margin (NPM) measures the percentage of revenue retained after all operating costs:

NPM=Net ProfitRevenue×100NPM = \frac{Net\ Profit}{Revenue} \times 100

Return on Capital Employed (ROCE) measures how efficiently the business uses its total long-term finance to generate profit — the most important overall profitability measure:

ROCE=PBITCapital Employed×100ROCE = \frac{PBIT}{Capital\ Employed} \times 100

where PBIT = Profit Before Interest and Tax, and Capital Employed=Total Equity+Non-current LiabilitiesCapital\ Employed = Total\ Equity + Non\text{-}current\ Liabilities

Liquidity Ratios

Current Ratio measures the ability to pay short-term debts using all current assets:

Current Ratio=Current AssetsCurrent LiabilitiesCurrent\ Ratio = \frac{Current\ Assets}{Current\ Liabilities}

The ideal range is 1.5–2:1. A ratio below 1 indicates the business cannot cover its short-term debts. A very high ratio may indicate poor use of assets (excess cash or inventory).

Acid Test Ratio (Quick Ratio) is a more stringent test of liquidity — it excludes inventory because inventory is the least liquid current asset:

Acid Test Ratio=Current AssetsInventoryCurrent LiabilitiesAcid\ Test\ Ratio = \frac{Current\ Assets - Inventory}{Current\ Liabilities}

The ideal is approximately 1:1. Below 1 suggests liquidity problems even before slow-moving stock is considered.

Worked Example — Calculating All Five Ratios

Using the financial data below:

Item$000
Revenue500
Gross Profit300
Profit Before Interest and Tax (PBIT)120
Net Profit (after tax)96
Non-current Assets400
Current Assets170
Inventory60
Current Liabilities90
Non-current Liabilities150
Total Equity330

Capital Employed = Total Equity + Non-current Liabilities = $330,000 + $150,000 = $480,000

RatioFormulaCalculationResult
Gross Profit Margin(300 / 500) · 10060%60%
Net Profit Margin(96 / 500) · 10019.2%19.2%
ROCE(120 / 480) · 10025%25%
Current Ratio170 / 901.891.89:1
Acid Test Ratio(170 - 60) / 901.221.22:1

Interpretation: The business is profitable with a healthy 60% gross margin. Net profit margin is 19.2%, suggesting significant operating expenses (rent, salaries, etc.). ROCE of 25% is strong — the business earns $0.25 for every $1 of capital employed. Current ratio (1.89:1) is within the ideal 1.5–2:1 range. Acid test (1.22:1) exceeds the 1:1 benchmark, confirming the business can meet its short-term obligations without relying on inventory sales.

When answering ratio questions in Paper 2, always: (1) state the formula; (2) substitute the values; (3) calculate the result; (4) interpret the result — what does it mean for this specific business? Simply producing a number earns few marks. The interpretation — especially in comparison to a previous year or industry average — is where high-band marks are awarded.

The difference between gross profit margin and net profit margin reveals the burden of operating expenses. If GPM is high (e.g., 60%) but NPM is low (e.g., 8%), the business’s trading is efficient but its overhead costs are eroding profit. This suggests a focus on cost control for items such as rent, marketing, or admin rather than procurement.


Watch: Ratio Analysis

tutor2u · 7 min · GPM, NPM, ROCE, current ratio, and acid test — IB Business unit 3.5 (note: video also covers A-Level efficiency ratios not required for IB SL)

Cash Flow

Cash flow refers to the movement of money into and out of a business over time. Understanding the distinction between cash and profit — and managing cash flow proactively — is essential for business survival.

Cash vs. Profit

A business can be profitable but cash-poor. Profit is an accounting concept that matches revenues with costs over a period, regardless of when cash actually changes hands. Cash flow is about the timing of actual receipts and payments.

A business may show a profit on its income statement but still run out of cash if:

  • It sells goods on credit (revenue is recorded before cash is received)
  • It has purchased large amounts of inventory (cash paid out but not yet converted to revenue)
  • It has made a major capital investment (cash leaves the business immediately; the cost is spread over years through depreciation)

Key cash flow terms:

  • Cash inflows — money received: sales receipts, loans received, proceeds from selling assets
  • Cash outflows — money paid: wages, rent, raw materials, loan repayments, tax payments
  • Net cash flow = Cash inflows - Cash outflows (for a period)
  • Opening balance = Closing balance from the previous period
  • Closing balance = Opening balance + Net cash flow

Cash Flow Forecast

A cash flow forecast is a forward-looking table showing expected cash inflows and outflows for each period (usually monthly), and the resulting cash balance. It allows managers to identify in advance when the business may run short of cash and take action before a crisis occurs.

Worked Example — 3-Month Cash Flow Forecast

A new retail business opens in January. Data for Q1:

January ($)February ($)March ($)
Cash Inflows
Sales receipts8,00012,00015,000
Capital introduced10,00000
Total Inflows18,00012,00015,000
Cash Outflows
Rent2,0002,0002,000
Wages3,5003,5003,500
Inventory purchases7,0005,0006,000
Marketing2,500500500
Other expenses800800800
Total Outflows15,80011,80012,800
Net Cash Flow2,2002002,200
Opening Balance02,2002,400
Closing Balance2,2002,4004,600

Interpretation: The business maintains a positive closing balance throughout Q1. January’s large capital introduction funds the initial inventory and marketing spend. The business is building its cash position month by month as sales grow.

Causes of Cash Flow Problems

  • Overtrading — growing too fast without sufficient working capital to fund the increased activity
  • Poor debtor management — customers paying late or not at all, leaving cash tied up in unpaid invoices
  • Seasonal demand — businesses in seasonal industries face months of low or no inflows while fixed costs continue
  • Unexpected costs — machinery breakdown, emergency repairs, or sudden cost increases
  • Excessive inventory — buying too much stock ties up cash and creates storage costs

Solutions to Cash Flow Problems

ProblemSolution
Short-term cash shortfallBank overdraft — flexible, immediate, interest only on amount used
Cash tied up in assetsSale of assets — one-time release of cash; may sacrifice future productive capacity
Slow debtor collectionImprove debtor management: offer early payment discounts, tighten credit terms, use debt factoring
Outflows arriving too earlyDelay payments to creditors — negotiate extended payment terms with suppliers
Structural cash shortfallArrange a bank loan — more formal, planned source of medium-term finance

Do not confuse a cash flow problem with a profitability problem. A profitable business can fail through poor cash flow management (this is called insolvency). Similarly, a business making a short-term accounting loss may have healthy cash flows. IB Paper 2 case studies frequently present businesses that are profitable but cash-strapped — read the data carefully before diagnosing the problem.


Investment Appraisal

When a business is considering a major capital investment — a new machine, a new building, an acquisition — it must assess whether the investment is financially worthwhile. Investment appraisal provides quantitative methods for evaluating the financial returns from a proposed investment and comparing alternative investment options.

All three IB SL methods require an initial estimate of: (1) the initial investment (outflow), and (2) the expected net cash inflows generated each year over the investment’s life.

Payback Period

The payback period is the length of time it takes for the cumulative net cash inflows from an investment to equal the initial outlay. It answers the question: “How quickly do we get our money back?”

Payback Period=Initial InvestmentAnnual Net Cash InflowPayback\ Period = \frac{Initial\ Investment}{Annual\ Net\ Cash\ Inflow}

This formula applies only when annual cash inflows are constant. When inflows vary by year, payback is found by accumulating inflows year by year until the initial outlay is recovered.

Advantages: Simple to calculate and understand; favours projects with quick returns, reducing risk exposure.

Disadvantages: Ignores the time value of money; ignores all cash flows after the payback point; does not measure overall profitability.

Average Rate of Return (ARR)

The ARR expresses the average annual profit from an investment as a percentage of the initial outlay, allowing comparison with alternative uses of money (e.g., leaving funds in a bank account):

ARR=Average annual profitInitial investment×100ARR = \frac{Average\ annual\ profit}{Initial\ investment} \times 100

where average annual profit = (Total net cash inflows - Initial investment) / number of years.

Advantages: Considers all cash flows over the entire life of the investment; produces a percentage comparable to interest rates.

Disadvantages: Ignores the time value of money; uses averages, which may mask uneven cash flows.

Net Present Value (NPV)

NPV accounts for the time value of money — the principle that $1 received today is worth more than $1 received in the future, because money available now can be invested to earn a return. NPV discounts future cash flows back to their present value using a discount factor reflecting the cost of capital (or required rate of return).

NPV=t=1nCFt(1+r)tInitial InvestmentNPV = \sum_{t=1}^{n} \frac{CF_t}{(1+r)^t} - Initial\ Investment

In practice, IB students use a discount table that provides the factor by which to multiply each year’s cash flow. If NPV is positive, the investment earns more than the cost of capital and is financially worthwhile. If negative, it destroys value.

Worked Example — Payback, ARR, and NPV

A business is considering buying a machine costing $60,000. Expected annual net cash inflows over 4 years are:

YearNet Cash Inflow ($)Discount Factor (10%)Present Value ($)Cumulative CF ($)
120,0000.90918,18020,000
220,0000.82616,52040,000
315,0000.75111,26555,000
415,0000.68310,24570,000
Total70,00056,210

Payback Period:

By end of Year 2: cumulative inflows = $40,000 (still $20,000 short)

Into Year 3, the remaining $20,000 must be recovered from $15,000 annual inflow:

Payback=2 years+2000015000×12 months2 years 16 monthsPayback = 2 \text{ years} + \frac{20000}{15000} \times 12 \text{ months} \approx 2 \text{ years } 16 \text{ months}

Since 20,000 / 15,000 = 1.33 years, payback = 3 years 4 months (i.e., partway through Year 4). The full 20,000 shortfall is not covered within Year 3 because Year 3 only generates 15,000. Payback is completed in Year 4:

Remaining after Year 3: $20,000 - $15,000 = $5,000. Into Year 4 ($15,000): $5,000 / $15,000 = 0.33 years = 4 months.

Payback=3 years 4 monthsPayback = 3\ years\ 4\ months

ARR:

Total net inflows=70,000\text{Total net inflows} = 70{,}000 Total net profit=70,00060,000=10,000\text{Total net profit} = 70{,}000 - 60{,}000 = 10{,}000 Average annual profit=10,000÷4=2,500\text{Average annual profit} = 10{,}000 \div 4 = 2{,}500 ARR=250060000×100=4.17%ARR = \frac{2500}{60000} \times 100 = 4.17\%

NPV:

Total PV of inflows=$18,180+$16,520+$11,265+$10,245=$56,210Total\ PV\ of\ inflows = \$18,180 + \$16,520 + \$11,265 + \$10,245 = \$56,210 NPV=$56,210$60,000=$3,790NPV = \$56,210 - \$60,000 = -\$3,790

Interpretation: The payback period of 3 years 4 months returns the initial outlay within the machine’s 4-year life. However, the ARR of 4.17% is low — if the firm’s cost of capital is higher than 4.17%, this investment does not meet the required return. The negative NPV of -$3,790 confirms this: at a 10% discount rate, the project destroys value. The business should not proceed with this investment at a 10% cost of capital, or should seek cost reductions or higher cash flows.

Comparison of Investment Appraisal Methods

Payback PeriodARRNPV
What it measuresSpeed of recovery of initial investmentAverage annual return as % of initial investmentNet value created after discounting for time value of money
Accounts for time value of money?NoNoYes
Considers all cash flows?No (ignores post-payback)YesYes
OutputTime (years/months)Percentage (%)Monetary value ($)
Best forRisk-averse businesses; projects where liquidity mattersQuick comparison against interest ratesFinancially sophisticated decisions; large, long-term projects
LimitationIgnores total profitabilityIgnores timing of cash flowsRequires a reliable discount rate; more complex

IB examiners expect you to evaluate investment appraisal methods — not just calculate. A common evaluation point: NPV is theoretically superior because it accounts for the time value of money and considers all cash flows. However, payback is often preferred in practice by small businesses due to its simplicity and its focus on liquidity and risk reduction.


Practice Questions

The following questions cover all subsections of Unit 3. Attempt each question before revealing the model answer.

Question 1 — Sources of Finance: Justify a source for a small business (concept)

Question: A sole trader bakery has been operating for three years and has accumulated $15,000 in retained profits. It wants to purchase a second-hand commercial oven costing $12,000 to expand production. Justify the most appropriate source of finance.

Model Answer: The most appropriate source is retained profit. The bakery has sufficient accumulated profit ($15,000) to cover the full cost of the oven ($12,000). Using retained profit avoids interest charges (unlike a bank loan) and avoids diluting ownership (unlike a share issue, which is in any case unavailable to a sole trader). Since the investment is relatively modest and the business is profitable, there is no need to take on external debt. A bank loan would be appropriate if the business lacked sufficient retained profit or needed to preserve cash for working capital purposes.

Question 2 — Break-even Analysis: Calculate BEP and margin of safety (calculation)

Question: A business produces sports water bottles. Selling price: $15 per unit. Variable cost: $6 per unit. Monthly fixed costs: $4,500. Current monthly output: 600 units. Calculate: (a) the break-even output, (b) the margin of safety, and (c) the monthly profit at current output.

Model Answer:

(a) Contribution per unit = $15 - $6 = $9

BEP=45009=500 unitsBEP = \frac{4500}{9} = 500 \text{ units}

(b) Margin of safety = 600 - 500 = 100 units

(c) Total revenue = $15 x 600 = $9,000. Total variable costs = $6 x 600 = $3,600. Total costs = $3,600 + $4,500 = $8,100.

Profit=$9,000$8,100=$900Profit = \$9,000 - \$8,100 = \$900

Alternatively: Total contribution = $9 x 600 = $5,400. Profit = $5,400 - $4,500 = $900.

Question 3 — Ratio Analysis: Calculate and interpret ratios (calculation + interpretation)

Question: A business reports: Revenue $800,000; Gross profit $320,000; Net profit $80,000; Current assets $150,000; Inventory $50,000; Current liabilities $100,000; Non-current liabilities $200,000; Total equity $350,000. Calculate and interpret the gross profit margin, current ratio, and acid test ratio.

Model Answer:

Gross Profit Margin: (320,000 / 800,000) x 100 = 40%. This means 40 cents of every dollar of revenue is retained after direct production costs. Whether 40% is good depends on the industry — supermarkets operate on much lower margins (5–10%); software companies may have margins above 70%.

Current Ratio: 150,000 / 100,000 = 1.5:1. This is at the lower bound of the ideal 1.5–2:1 range. The business can just cover its short-term debts using current assets. While acceptable, there is limited buffer — any unexpected outflow could create liquidity pressure.

Acid Test Ratio: (150,000 - 50,000) / 100,000 = 100,000 / 100,000 = 1:1. This exactly meets the 1:1 benchmark. Without relying on inventory sales, the business can exactly cover its current liabilities. This is adequate but leaves no margin for error.

Question 4 — Cash Flow: Identify problems and recommend solutions (concept)

Question: A clothing retailer operates on 60-day credit terms with customers (debtors). Suppliers demand payment within 15 days (creditors). The business has experienced growing sales but its bank balance has fallen sharply. Identify two causes of the cash flow problem and recommend two solutions.

Model Answer:

Cause 1 — Debtor collection lag: The retailer allows customers 60 days to pay, but must pay suppliers within 15 days. Cash leaves the business 45 days before it is received from customers. As sales grow, this gap creates an increasingly large cash shortfall despite the business being profitable.

Cause 2 — Overtrading: Growing sales require increasing purchases of inventory. The business is paying for stock before it has received payment from customers, which ties up cash.

Solution 1 — Reduce debtor days: Introduce early payment discounts (e.g., 2% discount for payment within 10 days) to incentivise faster payment. Alternatively, tighten credit terms from 60 to 30 days for new customers.

Solution 2 — Negotiate extended creditor terms: Approach suppliers to extend payment terms from 15 to 45 days. This closes the gap between cash outflows and inflows, reducing the working capital requirement.

Question 5 — Investment Appraisal: Compare payback and NPV for a decision (concept + evaluation)

Question: A business is choosing between two machines. Machine A has a payback period of 2 years and an NPV of -$5,000 at a 12% discount rate. Machine B has a payback period of 4 years and an NPV of +$18,000 at a 12% discount rate. Recommend which machine the business should purchase. Justify your answer.

Model Answer: The business should purchase Machine B, despite its longer payback period, because its NPV is positive (+$18,000), meaning the investment creates $18,000 of value in today’s money terms after accounting for the time value of money and the 12% cost of capital. Machine A’s negative NPV (-$5,000) means it destroys value at the required rate of return — it earns less than the cost of the capital employed and should not proceed on financial grounds.

Payback period favours Machine A (2 years vs 4 years), and if the business is highly risk-averse or has serious liquidity concerns, rapid capital recovery may matter. However, as a decision rule, NPV is theoretically superior because it accounts for the time value of money and considers all cash flows over the investment’s entire life. A business that chooses Machine A solely on the basis of payback would be selecting a value-destroying investment. Machine B is the financially sound choice.

Question 6 — Income Statement: Identify the correct placement of items (concept)

Question: State whether each of the following appears in the income statement or the balance sheet, and in which section: (a) retained profit; (b) trade debtors; (c) cost of goods sold; (d) long-term bank loan; (e) gross profit.

Model Answer:

(a) Retained profit — Balance sheet, equity (shareholders’ funds) section. It is the accumulated past profits kept in the business.

(b) Trade debtors — Balance sheet, current assets section. Debtors are customers who owe the business money — a short-term asset expected to convert to cash within the year.

(c) Cost of goods sold — Income statement, deducted from revenue to calculate gross profit.

(d) Long-term bank loan — Balance sheet, non-current liabilities section. A liability due after more than one year.

(e) Gross profit — Income statement, calculated as revenue minus cost of goods sold. It is a subtotal within the income statement, not a balance sheet item.