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ACCA Applied Skills · Financial Reporting

Not-for-profit and public sector entities: formula sheet

Full chapter guide

Key formulas

Surplus or deficit
Surplus or deficit = Income − Expenditure
Used instead of profit or loss. A surplus is reinvested, not distributed to owners.
Accumulated fund
Accumulated fund = Net assets (assets − liabilities) of the entity
Replaces owners' equity. It is built up from past surpluses and any capital contributed.
Value for money (three Es)
Value for money = Economy + Efficiency + Effectiveness
Economy is low cost of inputs. Efficiency is the best output from inputs. Effectiveness is achieving the objectives.
Accumulated fund (opening)
Accumulated fund = total assets − total liabilities
Use this when the opening fund is not given. Include arrears of subscriptions as an asset and subscriptions in advance as a liability.
Subscriptions for the year
Income = cash received − opening arrears + closing arrears + opening advance − closing advance
Or build a subscriptions ledger account and find the income as the balancing figure. This is the figure for the income and expenditure account.
Surplus or deficit
Surplus (deficit) = total income − total expenditure
Income includes subscriptions, donations and profit on activities. Expenditure includes depreciation and accrued expenses. Capital items are excluded.
Closing accumulated fund
Closing fund = opening fund + surplus (or − deficit)
Add other items taken directly to the fund, such as capital donations or legacies, if the question treats them that way.
Profit on an activity (e.g. bar)
Profit = sales − (opening inventory + purchases − closing inventory) − direct costs
Adjust purchases for payables first. Show only the net profit or loss in the income and expenditure account.
Life membership
Annual income = life membership fee ÷ expected years of membership
Hold the unreleased balance as a liability or deferred income. Follow the method the question states.
Economy
Economy = spending less on inputs, for the same quality
Compare actual input cost with budget or with a benchmark price. Measure of input cost only.
Efficiency
Efficiency = outputs ÷ inputs (or inputs ÷ outputs)
Example: patients treated per nurse, or cost per patient treated. State clearly which way round you use.
Effectiveness
Effectiveness = actual outcome achieved compared with the objective or target
Example: percentage of pupils reaching a target grade. Needs a stated objective to judge against.
Value for money
VFM = economy + efficiency + effectiveness (together)
Strong VFM needs all three. Good performance on one does not guarantee the others.
Economy
Economy = spending less on inputs of the right quality (compare cost of inputs with budget or benchmark)
Concerned with the cost of resources used, such as staff and supplies.
Efficiency
Efficiency = outputs ÷ inputs (or cost per unit of output)
For example, cost per patient treated or pupils taught per teacher.
Effectiveness
Effectiveness = actual outcome compared with the intended objective
For example, the percentage of patients recovering, or the target met.
Budget variance
Variance = Actual − Budget
State if it is favourable or adverse. For spending, actual below budget is favourable, but check service quality.
Cost per unit of service
Cost per unit = total cost ÷ number of units of service delivered
Used to compare years, sites or similar bodies.

Quick revision

  • Not-for-profit entities aim to deliver a service or social purpose, not to make profit for owners.
  • Their stakeholders often include donors, members, beneficiaries, government and regulators, and these groups may want different things.
  • Funds may be restricted to a specific purpose, so you must track how they are used.
  • Such bodies report a surplus or deficit, not a profit, and often use income and expenditure accounts.
  • Value for money means getting the best result from the resources used.
  • Economy: buying inputs of the right quality at the lowest cost.
  • Efficiency: getting the most output from the inputs used.
  • Effectiveness: whether the outputs achieve the entity's objectives.
  • Cost per unit of service, such as $500,000 ÷ 2,000 patients = $250 per patient, is an efficiency-type measure.
  • The three Es can conflict. Cutting costs may harm quality and reduce effectiveness.
  • Public sector bodies often have objectives that are hard to quantify, so non-financial measures matter.
  • Good measures are linked to objectives, controllable and clear. Always say what the result means.

Common mistakes

  • Saying a not-for-profit entity cannot make a surplus. Fix: State that it can make a surplus. The difference is that the surplus is kept and used for the purpose, not paid to owners.
  • Treating profit as the main performance measure. Fix: Add service delivered, value for money and use of funds. Mention non-financial measures.
  • Using the cash received for subscriptions as the income figure. Fix: Always adjust for opening and closing arrears and advance. Build a subscriptions account and use the balancing figure.
  • Adding arrears when you should deduct them, or the reverse. Fix: Think about what the cash contains. Opening arrears collected relate to last year, so deduct. Closing arrears are earned but unpaid, so add. Do the opposite for advance.
  • Treating economy and efficiency as the same thing. Fix: Economy concerns the cost of inputs bought. Efficiency concerns output produced from inputs used. Buying cheaper paper is economy; printing more pages per hour is efficiency.
  • Saying low cost means good value for money. Fix: Always test effectiveness too. Cheap services that fail to meet objectives are poor value.
  • Judging a public body mainly on profit margin or return on capital. Fix: State that the objective is service delivery. Use surplus only as a check on financial sustainability.
  • Mixing up economy, efficiency and effectiveness. Fix: Remember: economy is input cost, efficiency is output per input, effectiveness is outcome against objective.

Exam tips

  • Always compare with a commercial business: purpose, ownership, funding, performance and users. Examiners reward structured comparison.
  • In objective questions, reject options that say the main aim is to maximise return for owners.
  • Use correct terms: surplus or deficit, accumulated fund, stewardship, value for money.
  • In written answers, tie each point to the scenario's funders and services to earn the application marks.
  • Remember performance measures are not only financial. Mention non-financial indicators briefly.
  • In objective questions, the subscriptions calculation is the favourite. Write the four adjustments in order and check the sign of each by asking what the cash contains.
  • Know the difference between a receipts and payments account (cash only) and an income and expenditure account (accruals). A one-line definition is often tested.
  • In a constructed response question, lay out the answer with clear headings: workings first, then the income and expenditure account, then the statement of financial position. Show your workings so marks are available even if a figure is wrong.