CPA PM Elective cheat sheet

Value chain analysis separates primary activities (inbound logistics, operations, outbound logistics, marketing and sales, service) from support activities (firm infrastructure, HR, technology development, procurement); cost advantage arises where activity cost drivers differ from rivals.

Porter's five forces: rivalry, new entrants, substitutes, supplier power, buyer power. A framework identifies profit pressure, not a verdict; each force must be evidenced with a specific mechanism.

SWOT is descriptive only; a defensible strategic recommendation converts each strength or weakness into a resource or capability test and each opportunity or threat into a quantified exposure.

Resource-based view test (VRIN/VRIO): a capability sustains advantage only if valuable, rare, inimitable, and non-substitutable; imitability is judged by history, causal ambiguity, and social complexity.

Generic strategies: cost leadership, differentiation, and focus. Stuck-in-the-middle is a risk hypothesis, not a rule - cost leaders can also differentiate if activity systems are mutually reinforcing.

Ansoff matrix (market penetration, product development, market development, diversification) frames growth risk; diversification carries the highest execution risk because both product and market are new.

Balanced Scorecard links four perspectives (financial, customer, internal process, learning and growth) by cause-and-effect; a lagging financial measure must trace to leading operational drivers.

Governance: the board sets strategy and risk appetite and monitors management; separation of chair and CEO, independent directors, and audit committee independence reduce agency cost.

Performance measurement frameworks must pass the test of controllability, congruence with strategy, and resistance to gaming; Goodhart's law states a measure used as a target ceases to be a good measure.

High-low method: variable cost per unit = (cost at high activity − cost at low activity) ÷ (high activity − low activity); fixed cost = total cost − variable rate × activity. Uses only two points, so outliers distort it.

Least-squares regression uses all observations, minimises squared deviations, and yields R² (goodness of fit) and standard error; a low R² means activity is a weak cost driver.

Relevant range: the activity band over which the assumed linear cost behaviour holds; step costs change in discrete increments and must be modelled as such.

Contribution margin per unit = selling price − variable cost per unit. Contribution margin ratio = contribution ÷ revenue. Breakeven units = fixed costs ÷ contribution per unit.

Breakeven revenue = fixed costs ÷ contribution margin ratio. Target profit units = (fixed costs + target profit) ÷ contribution per unit. Margin of safety = (budgeted sales − breakeven sales) ÷ budgeted sales.

Operating leverage = contribution ÷ operating income; higher leverage raises the sensitivity of profit to volume changes in both directions.

Absorption costing includes fixed production overhead in product cost; variable costing expenses it as a period cost. Difference in profit = change in inventory units × fixed overhead rate per unit.

Overhead allocation: predetermined rate = budgeted overhead ÷ budgeted activity. Applied overhead − actual overhead = under- or over-applied overhead; under-applied means actual exceeded applied.

Activity-based costing assigns overhead via cost pools and activity drivers; it is most valuable where products differ in volume, batch size, or complexity, and where overhead is a large share of total cost.

Flexible budget restates revenue and variable costs at actual volume; static budget variances mix price and volume effects and are therefore not controllable performance signals.

Sales volume variance = (actual units − budgeted units) × standard contribution per unit. Sales price variance = (actual price − standard price) × actual units sold.

Material price variance = (actual price − standard price) × actual quantity purchased; material usage variance = (actual quantity used − standard quantity for actual output) × standard price.

Labour rate variance = (actual rate − standard rate) × actual hours paid; labour efficiency variance = (actual hours worked − standard hours for actual output) × standard rate.

Variable overhead efficiency variance uses hours; variable overhead expenditure variance = actual variable overhead − (actual hours × standard rate). Fixed overhead volume variance arises from capacity utilisation, not spending.

A variance is investigated when it is material, recurring, controllable, and traceable to a cause; favourable variances also warrant review (over-budget slack, quality sacrificed, price concessions).

Planning (budget) variance = original budget − revised budget; operational variance = revised budget − actual. This split isolates forecast error from execution.

Rolling forecasts replace the fixed annual budget horizon; zero-based budgeting requires every cost to be justified from a zero base and suits discretionary cost centres.

Cash budgeting differs from profit budgeting: depreciation, accruals, and capital purchases are timing items. A profitable budget can still breach a cash limit.

Return on investment = divisional profit ÷ divisional investment. Residual income = divisional profit − (required rate × divisional investment). RI discourages under-investment that ROI can cause.

Economic value added = after-tax operating profit − (WACC × invested capital); it charges for equity as well as debt and aligns divisional and shareholder goals.

Transfer pricing: minimum price for the selling division is variable cost plus lost contribution from external sales; the maximum for the buying division is the external purchase price.

Goal congruence requires the transfer price to sit within that range; where it does not, head office intervention or a dual pricing system is needed.

Controllability principle: managers should be assessed on revenues, costs, and assets they influence; allocated head-office costs and interest are normally excluded from divisional profit.

Non-financial measures (quality, cycle time, on-time delivery, customer retention, employee turnover) act as leading indicators; they must be defined with clear data sources to resist manipulation.

The performance pyramid and Fitzgerald and Moon's building blocks (determinants and results) link corporate objectives to operational measures; dimensions include financial, customer, flexibility, quality, resource utilisation, and innovation.

Behavioural effects: budget slack, ratcheting, and short-termism. A control system must balance diagnostic controls (targets and variance) with boundary and belief systems that frame acceptable behaviour.

Benchmarking compares processes and outcomes against internal, competitive, functional, or generic best practice; it identifies the performance gap, not its cause.

Price elasticity of demand = percentage change in quantity demanded ÷ percentage change in price. Demand is elastic when the absolute value exceeds 1; a price rise then lowers total revenue.

Profit-maximising output occurs where marginal revenue equals marginal cost; the mark-up over marginal cost is inversely related to elasticity (Lerner index = (price − marginal cost) ÷ price).

Cost-plus pricing: price = cost × (1 + mark-up). Full cost plus uses absorption cost; marginal cost plus uses variable cost. Cost-plus ignores demand and competitor response.

Target costing works backwards: target cost = competitive selling price − required profit margin. The gap between current and target cost drives design and value engineering.

Life-cycle costing accumulates all costs from design through disposal; most costs are committed at the design stage even though they are incurred later.

Revenue management levers: price discrimination by segment, time, or channel; yield management; bundling; peak-load pricing; two-part tariffs. Each requires enforceable segmentation.

Price skimming suits innovative products with inelastic early demand; penetration pricing sacrifices margin to build share and experience-curve cost advantage.

Relevant cost for a special order = incremental variable cost plus any opportunity cost of displaced sales; allocated fixed overhead is irrelevant unless it changes in total.

Transfer price and external pricing interact: an internal supply at a low transfer price can depress the external market price if the buyer resells.

Net present value discounts all relevant cash flows at the cost of capital; accept if NPV > 0. NPV is additive and is the theoretically preferred method for mutually exclusive projects.

Internal rate of return is the discount rate giving NPV = 0; accept if IRR exceeds the cost of capital. IRR can give multiple answers with non-conventional cash flows and ignores project scale.

Payback ignores cash flows after the cut-off and the time value of money; discounted payback corrects the latter but still ignores later flows.

Accounting rate of return = average annual accounting profit ÷ average investment; it uses profit, not cash, and ignores timing.

Relevant cash flows are incremental, future, and opportunity-cost based. Sunk costs, allocated overhead, and committed fixed costs are excluded unless they change.

Tax and capital allowances: depreciation is not a cash flow; tax savings arise from capital allowances. Working capital is an outflow at start and recovered at the end.

Risk-adjusted discount rate raises the rate for riskier projects; certainty equivalents adjust the cash flows instead. Both convert a risky NPV into a risk-free equivalent.

Real options (defer, expand, abandon, switch) add value not captured by static NPV; they are valuable when uncertainty is high and management can respond flexibly.

Capital rationing: where funds are limited, rank by profitability index (NPV per unit of scarce resource) rather than absolute NPV, subject to project divisibility constraints.

COSO internal control components: control environment, risk assessment, control activities, information and communication, monitoring activities. The control environment is the foundation.

COSO ERM: risk appetite and tolerance are set at board level; risk is assessed on likelihood and impact; responses are avoid, reduce, share, or accept.

Segregation of duties separates authorisation, custody, recording, and reconciliation. Where segregation is impractical, compensating controls such as independent review and exception reports apply.

Three lines model: operational management owns risk (first line); risk and compliance functions monitor (second line); internal audit provides independent assurance (third line).

Preventive controls (approval, access restriction) stop errors; detective controls (reconciliation, exception report) find them; corrective controls restore the position.

Fraud triangle: pressure/incentive, opportunity, and rationalisation. Opportunity is reduced by controls; pressure and rationalisation are harder to control.

A control deficiency is significant when it could result in a material misstatement; a material weakness is a deficiency, or combination, that creates a reasonable possibility of material misstatement not prevented or detected timely.

Business continuity: RTO is the maximum acceptable downtime; RPO is the maximum acceptable data loss. Recovery strategies must be tested, not just documented.

Risk map plots inherent and residual risk; residual risk is assessed after controls, and the gap between inherent and residual measures control effectiveness.

Descriptive, diagnostic, predictive, and prescriptive analytics form an increasing maturity ladder; prescriptive analytics recommends an action and requires an objective function and constraints.

Data quality dimensions: accuracy, completeness, consistency, timeliness, validity, uniqueness. Poor input data invalidates any model regardless of technique sophistication.

Correlation does not establish causation; confounding variables, reverse causality, and selection bias must be ruled out with controlled comparison or natural experiments.

Sensitivity analysis varies one input at a time; scenario analysis varies several consistently; simulation (Monte Carlo) draws inputs from probability distributions to produce an outcome distribution.

Expected value = sum of (probability × outcome). It is appropriate for repeatable decisions; risk-averse decision makers also consider variance and downside exposure.

Big data characteristics (volume, velocity, variety, veracity) determine the tooling; sampling risk falls as sample size rises, but non-sampling bias does not.

Robotic process automation suits high-volume, rule-based, structured tasks; machine learning suits pattern detection where rules are not explicit but requires labelled or representative data.

Cybersecurity control basics: least privilege, multi-factor authentication, encryption at rest and in transit, patch management, and logging with independent review.

Decision support output must be explainable to those accountable; a model whose assumptions cannot be articulated cannot support a defensible decision.

Fundamental ethical principles: integrity, objectivity, professional competence and due care, confidentiality, and professional behaviour. Threats include self-interest, self-review, advocacy, familiarity, and intimidation.

Safeguards reduce threats to an acceptable level; where no safeguard suffices, the engagement or relationship must be declined or terminated.

Confidentiality persists after the relationship ends; disclosure is permitted where required by law, or with client consent, but not for personal advantage.

Professional scepticism: question information that is inconsistent with other evidence, and do not treat management representation as sufficient evidence on its own.

Bias checklist: anchoring, confirmation, availability, overconfidence, escalation of commitment, and groupthink. Escalation of commitment is countered by pre-committed abandonment criteria.

Ethical decision framework: identify facts and stakeholders, state the ethical issue, evaluate options against principles and consequences, decide, act, and reflect.

Communication of financial information should be relevant, faithful, comparable, verifiable, timely, and understandable; materiality is judged by whether omission or misstatement could influence a user's decision.

Whistleblowing is normally a last resort after internal escalation, unless the matter is serious enough that internal channels are compromised or the harm is imminent.

When a directive conflicts with professional standards, the accountant documents the concern, escalates to the appropriate level (including the board or audit committee), and records the outcome.

Relevant costing decision rule: include only costs and revenues that differ between alternatives; exclude sunk costs and committed costs that do not change.

Make-or-buy: compare relevant internal variable and avoidable fixed costs against the external purchase price, adding opportunity cost of freed capacity.

Shut-down decision: continue in the short run if contribution is positive; shut down if contribution is negative and no strategic reason (market presence, restart cost) offsets it.

Limiting factor: rank products by contribution per unit of the scarce resource, then allocate the constraint; consider relaxing the constraint if the cost of doing so is below the gain.

Qualitative factors can override a quantitative result: quality, supplier reliability, employee morale, customer perception, regulatory exposure, and strategic fit.

Expected value ignores risk preference; a decision maker may rationally reject a positive expected value where ruin risk is unacceptable.

Joint products: split-off decisions use incremental revenue after split-off versus further processing cost; joint costs before split-off are irrelevant to the decision.

Decision documentation should state the objective, alternatives, assumptions, data sources, and the sensitivity of the outcome to the key assumptions.

Multi-product breakeven: use the weighted average contribution per unit or the sales mix contribution ratio; a change in mix changes the breakeven point even if total revenue is unchanged.

CVP assumptions: constant selling price, constant variable cost per unit, fixed costs constant within the relevant range, and a single product or constant mix.

Degree of operating leverage = contribution ÷ profit; a 10% sales increase raises profit by leverage × 10%.

Target profit after tax: required pre-tax profit = after-tax target ÷ (1 − tax rate), then apply the breakeven formula.

Step fixed costs create multiple breakeven points; the relevant breakeven is the one within the current step.

Contribution per unit of scarce resource is the correct ranking metric under a single binding constraint; with multiple constraints, linear programming is required.

Sensitivity of profit to a price change must be computed on the new volume, not the original volume, because demand responds to price.

Relevant cost of labour: if labour is paid a fixed salary and is not diverted from other work, the incremental cost is nil; if it is diverted, the opportunity cost is the lost contribution.

Cash operating cycle = inventory days + receivable days − payable days. A longer cycle increases the financing requirement.

Inventory days = average inventory ÷ cost of sales × 365; receivable days = average receivables ÷ revenue × 365; payable days = average payables ÷ purchases × 365.

Early settlement discount decision: compare the cost of the discount with the cost of short-term borrowing. Annualised cost of giving up a discount = (discount ÷ (1 − discount)) × (365 ÷ extra days).

Economic order quantity balances ordering cost and holding cost; total cost is minimised where the two are equal.

Cash flow forecasting distinguishes operating, investing, and financing flows; a closing cash balance below the minimum buffer triggers a financing decision.

Overtrading occurs when growth outpaces working capital finance; symptoms are rising receivables and inventory with falling cash and rising short-term debt.

Factoring and invoice discounting convert receivables to cash; factoring transfers administration and often credit risk, invoice discounting usually does not.

Investment in working capital is a cash outflow at project start and a recovery at project end; it is a relevant cash flow in NPV analysis.

Job costing accumulates costs by job for heterogeneous, customer-specific output; process costing averages costs over homogeneous continuous output.

Process costing: equivalent units = completed units + (closing work in progress × degree of completion). Cost per equivalent unit = costs ÷ equivalent units.

FIFO and weighted average process costing differ in how opening work in progress is treated; FIFO values work done in the current period only.

Normal loss is expected and its scrap value reduces process cost; abnormal loss is valued at full cost per good unit and written off; abnormal gain is the reverse.

Joint costs are apportioned by physical units, sales value at split-off, or net realisable value; the method chosen affects reported product margins but not total joint cost.

Service costing uses composite cost units (per patient day, per passenger mile); the cost unit must be measurable and meaningful to the user.

Absorption costing recovers fixed overhead through a predetermined rate; activity-based costing recovers it through activity drivers, giving more accurate product costs where complexity varies.

Cost estimation: account classification, high-low, scattergraph, and regression. Regression provides statistical diagnostics; high-low does not.

Incremental budgeting adjusts last year's budget; it is cheap but perpetuates inefficiency and is prone to incremental slack.

Zero-based budgeting requires each activity to be justified in decision packages ranked by priority; it is resource-intensive and suits discretionary spend.

Activity-based budgeting derives resource requirements from budgeted activity volumes and driver rates; it links cost to the work that causes it.

Top-down budgeting sets targets centrally; bottom-up builds from operational plans. Participative budgeting improves commitment but increases slack.

Budget slack is the deliberate understatement of revenue or overstatement of cost to make targets achievable; it is reduced by challenging assumptions and linking rewards to relative performance.

Beyond budgeting replaces fixed annual targets with rolling forecasts, relative targets, and decentralised decision rights; it suits volatile environments.

Incremental budgeting suits stable cost structures; zero-based and activity-based approaches suit cost reduction programmes and service organisations.

Behavioural risk: budgets used as a blunt punishment tool encourage gaming, data manipulation, and short-termism; the control system must reward the right behaviour.

Shareholder value analysis discounts free cash flow at the weighted average cost of capital; value drivers are sales growth, operating margin, tax, working capital, and capital expenditure.

WACC = (E ÷ (D + E)) × cost of equity + (D ÷ (D + E)) × cost of debt × (1 − tax rate).

Cost of equity via CAPM = risk-free rate + beta × market risk premium. Beta measures systematic risk only; unsystematic risk is diversifiable.

Free cash flow = operating profit after tax + depreciation − capital expenditure − increase in working capital.

Customer lifetime value = present value of expected future contribution from a customer, less acquisition cost; it justifies spending on retention where churn is costly.

Value drivers must be measurable and linked to the balanced scorecard; a value driver that cannot be measured cannot be managed.

Divisional performance and corporate value can diverge: a division may report high ROI while destroying value if its return is below WACC.

Strategic fit test: a proposal must support the stated strategy, be feasible with available resources, and be acceptable to stakeholders on risk and return.

IT general controls cover access management, change management, IT operations, and backup and recovery; application controls cover input, processing, and output.

Input controls: validation checks, batch totals, and authorisation. Processing controls: run-to-run totals and exception reports. Output controls: distribution lists and reconciliation.

Data governance assigns ownership (accountable for data quality) and stewardship (responsible for day-to-day data management).

Master data management maintains a single trusted source for customers, products, and suppliers; inconsistent master data causes reporting errors.

A general IT control failure (e.g., weak change management) can undermine reliance on automated application controls for the whole period.

Spreadsheet risk controls: version control, access restriction, independent review of formulas, and documented assumptions for material models.

Cloud and third-party risk: review the service organisation assurance report, data residency, exit arrangements, and subcontractor exposure.

Audit trails must be complete, tamper-evident, and retained for the period required by law and policy.

Earnings management through accruals, channel stuffing, or timing of expenditure misstates performance and breaches integrity and objectivity.

Incentive design risk: a bonus tied solely to revenue encourages discounting and low-quality sales; a balanced set of measures reduces dysfunctional behaviour.

Clawback and deferral provisions align reward with long-term outcomes and reduce short-termism.

Related-party transactions must be disclosed and approved under conflict-of-interest procedures; the accountant must not use position for personal advantage.

Confidentiality in performance data: segment and customer data must not be shared outside authorised recipients, including informally.

Pressure from a superior to change a reported figure is an intimidation threat; the response is to document, escalate, and refuse to sign misleading information.

Whistleblowing channels must be independent, confidential, and protected by a non-retaliation policy to be credible.

Professional competence requires keeping technical and systems knowledge current; reliance on outdated methods is a due care failure.

Time series components: trend, seasonal, cyclical, and random. Decomposition separates them; deseasonalised data reveals the underlying trend.

Moving average smooths short-term noise but lags turning points; exponential smoothing weights recent observations more heavily via the smoothing constant.

Regression forecast quality is judged by R², standard error, and the significance of coefficients; extrapolating beyond the observed range is unreliable.

Learning curve: the cumulative average time falls by a constant percentage each time cumulative output doubles. It applies to labour-intensive repetitive tasks.

Expected value and decision trees handle sequential decisions under uncertainty; roll back from the end, comparing expected values at each decision node.

Sensitivity analysis identifies the input to which the outcome is most sensitive; it does not assign probabilities.

Judgmental forecasting (Delphi, scenario planning) is used where historical data are unavailable or the environment is discontinuous.

Forecast bias is systematic error in one direction; it is more damaging than random error because it is predictable and correctable.

Value for money: economy (cost of inputs), efficiency (output per unit of input), and effectiveness (achievement of objectives).

Not-for-profit objectives are multiple and often non-financial; performance must be assessed against mission and outcomes, not profit alone.

Outputs are direct products of activity; outcomes are the changes in the population or condition that result. Outcome measurement is harder and more meaningful.

Public sector accountability requires transparency, probity, and demonstrable stewardship of public funds.

Budgetary control in the public sector is often cash-based and legally binding; overspending may itself be unlawful.

Performance indicators must be defined so they cannot be met by shifting activity to unmeasured areas (output distortion).

Unit cost comparisons in public services must adjust for case mix, deprivation, and population characteristics before conclusions are drawn.

Stakeholder analysis identifies who is affected and their influence; consultation is a control mechanism as well as an ethical requirement.

A decision model is only as good as its assumptions; state them explicitly and test the decision against the sensitivity of the key assumption.

Quantitative analysis informs but does not replace judgment; qualitative factors must be documented alongside the numbers.

Sunk cost fallacy: past expenditure is irrelevant to a forward-looking decision; the only relevant question is the incremental future cash flow.

Opportunity cost is the contribution forgone from the next best alternative; omitting it overstates the benefit of a proposal.

Risk and return are linked: a higher expected return must be justified by higher risk, and a decision that ignores this misallocates capital.

Ethical and reputational consequences are part of the decision, not an afterthought; a legally permissible action may still be ethically unacceptable.

Group decision making improves information sharing but risks groupthink; assigning a devil's advocate or using pre-mortem analysis counters it.

Post-completion review compares actual outcomes with the decision case and feeds lessons into future appraisal.

Target costing sets cost from the market price less required profit; value engineering reduces cost without reducing customer value.

Kaizen costing seeks continuous incremental cost reduction during production; it complements target costing after launch.

Cost of quality: prevention, appraisal, internal failure, and external failure costs. External failure costs are the most damaging and least controllable.

Total quality management: continuous improvement, employee involvement, and process focus; quality is conformance to specification, not luxury.

Six Sigma reduces process variation using DMAIC (define, measure, analyse, improve, control).

Just-in-time reduces inventory and its holding cost but increases vulnerability to supply interruption; it requires reliable suppliers and short setup times.

Business process re-engineering redesigns processes radically rather than incrementally; it carries high change-management risk.

Benchmarking against best practice identifies the performance gap; root cause analysis (five whys, fishbone) identifies why the gap exists.

Dividend policy theories: residual theory pays dividends only after funding positive-NPV projects; clientele theory holds that investor groups prefer particular payout patterns.

Share buybacks return cash and can signal undervaluation; they also reduce share count and can raise earnings per share without improving underlying performance.

Signalling theory: a dividend increase can signal management confidence; a cut can signal distress.

Agency cost of free cash flow: excess cash without investment opportunities invites wasteful spending; discipline comes from payout or debt.

Investor communication must be timely, accurate, and consistent with published guidance; selective disclosure to analysts breaches market integrity.

Cost of capital is the hurdle rate for investment; a project returning less than WACC destroys value even if it reports an accounting profit.

Capital structure trade-off: debt brings a tax shield but increases financial distress cost; the optimal structure balances the two.

Stakeholder mapping by power and interest guides engagement strategy; high-power, high-interest stakeholders require active management.

Risk = likelihood × impact. A risk register records cause, event, impact, owner, response, and residual rating.

Value at risk estimates the maximum loss at a given confidence level over a given horizon; it says nothing about the size of losses beyond that level.

Expected loss = probability of default × exposure at default × loss given default.

Hedging with forwards or futures locks a price and removes upside as well as downside; options retain upside at a premium cost.

Diversification reduces unsystematic risk but not systematic (market) risk; systemic risk cannot be diversified away.

Scenario and stress testing examine extreme but plausible events that historical data may not capture.

Risk appetite is the amount of risk the organisation is willing to accept in pursuit of objectives; risk tolerance is the acceptable variation around it.

Key risk indicators are leading metrics that signal rising exposure; they must be measurable, timely, and linked to a response trigger.

A KPI must be specific, measurable, achievable, relevant, and time-bound, and must be linked to an accountable owner.

Dashboards should present a small number of decision-relevant measures; excessive metrics dilute attention and obscure priorities.

Data visualisation: choose the chart type for the question - trend over time (line), comparison (bar), composition (stacked bar), relationship (scatter).

Segmentation analysis breaks performance down by customer, product, or region to reveal where value is created or destroyed.

Variance analysis should be automated and exception-based; investigating every variance wastes resource and desensitises managers.

Predictive models require validation on out-of-sample data; overfitting produces good historical fit and poor future performance.

Data privacy and security obligations apply to all personal data used in analytics; anonymisation and access control reduce exposure.

Reporting must distinguish actual results from forecast and from budget; mixing the three misleads users.

Internal audit provides independent, objective assurance on risk management, control, and governance; it should report functionally to the audit committee.

Independence requires that internal audit does not design or operate the controls it audits; consulting work must not impair objectivity.

The audit committee oversees financial reporting, external audit, internal audit, and the control environment; it should comprise independent non-executive directors.

Risk-based auditing allocates effort to the areas of highest inherent risk and weakest control.

Assurance mapping identifies gaps and duplication across the first, second, and third lines.

Findings should be rated by significance, agreed with management, and tracked to closure with an owner and a deadline.

External audit provides an opinion on financial statements, not on the effectiveness of all internal controls (unless a separate integrated audit is performed).

Corporate governance codes require disclosure of how principles are applied; comply-or-explain permits departure with reasoned explanation.

Project risk can be adjusted through the discount rate, certainty equivalents, scenario analysis, or real options.

The cost of capital must match the project's risk, not the company's average risk; using a single WACC for all projects misallocates capital.

Beta should be re-levered to the project's target capital structure: unlever the comparable beta, then relever at the project's gearing.

Inflation must be treated consistently: discount nominal cash flows at a nominal rate, or real cash flows at a real rate. Mixing the two distorts NPV.

Capital rationing with indivisible projects requires ranking combinations by total NPV within the budget constraint.

Abandonment value sets a floor on project value; the option to abandon is worth more when cash flows are volatile.

Post-audit compares actual with appraised cash flows; it improves future forecasting and exposes optimism bias.

Infrastructure and long-lived projects require terminal value estimation; terminal value often dominates NPV and must be tested for sensitivity.

Market-based transfer price uses the external market price and preserves divisional autonomy where a competitive market exists.

Cost-based transfer price (variable or full cost plus mark-up) is simple but can distort divisional profit and investment decisions.

Dual transfer pricing credits the seller at market and charges the buyer at variable cost; head office absorbs the difference. It preserves goal congruence but obscures true divisional performance.

Where the selling division has spare capacity, the minimum transfer price is variable cost; where it is at full capacity, the minimum is market price.

Transfer pricing affects tax and customs exposure across jurisdictions; arm's-length principles apply to cross-border transactions.

Divisional profit measured after transfer prices may not reflect economic contribution; evaluate managers on controllable items.

Negotiated transfer prices preserve autonomy but depend on the relative bargaining power of the divisions.

A transfer pricing system must be reviewed when capacity, market conditions, or tax rules change.

Reward should be linked to measures the manager controls and that align with strategy; a mismatch creates dysfunctional behaviour.

Intrinsic motivation can be crowded out by excessive extrinsic reward; performance-related pay works best where output is measurable.

Relative performance evaluation filters out common shocks but can encourage collusion or sabotage among peers.

Balanced scorecard measures should be weighted to reflect strategic priorities; equal weighting is rarely appropriate.

Long-term incentive plans with vesting periods reduce short-termism but weaken the link between pay and current performance.

Team-based reward encourages cooperation but creates free-rider risk; individual reward encourages effort but can discourage knowledge sharing.

Performance reviews should distinguish outcome from process: a good decision can have a bad outcome and vice versa.

Transparency in reward criteria improves perceived fairness, which drives acceptance of the control system.

A flexible budget is prepared at the end of the period using actual volume and standard rates; it is the correct comparator for cost control.

Fixed costs are not flexed; volume variances on fixed costs reflect capacity utilisation, not spending efficiency.

Sales mix variance and sales quantity variance together explain the total sales volume variance in a multi-product firm.

Mix variance = (actual mix at standard margin − budgeted mix at standard margin) × actual total units; quantity variance = (actual total units − budgeted total units) × standard weighted margin.

Revisions to the budget mid-year should be documented and distinguished from original budget in reporting.

Forecast accuracy is measured by mean absolute percentage error or tracking signal; a persistent tracking signal indicates bias.

Cost behaviour should be re-estimated when the relevant range, technology, or input prices change materially.

Capacity cost is fixed in the short run and variable in the long run; decisions should state the time horizon assumed.

A member must comply with laws and regulations and must not knowingly be associated with misleading information.

Independence in fact and appearance applies to audit and assurance engagements; familiarity and self-interest threats are the most common.

Conflicts of interest must be identified, disclosed, and managed; where they cannot be managed, the engagement should be declined.

Money laundering controls: customer due diligence, record keeping, and suspicious activity reporting; tipping off the customer is prohibited.

Bribery and facilitation payments are prohibited in most jurisdictions; a gift or hospitality register supports compliance.

Professional liability arises from negligence, breach of contract, or breach of duty; documentation is the primary defence.

Regulatory change must be monitored and reflected in systems and disclosures; ignorance is not a defence.

Ethical culture is set by leadership behaviour; a code of conduct without enforcement is ineffective.

Customer profitability analysis allocates costs to serve (order handling, delivery, returns) to reveal unprofitable customers hidden by average margins.

Pareto analysis (80/20) identifies the small number of customers, products, or causes responsible for most of the value or the problem.

Contribution per customer = revenue − variable cost to serve; fixed cost allocation should follow cause and effect.

Cohort analysis tracks retention and value by acquisition period; it distinguishes growth from retention.

Price-volume-mix analysis decomposes the change in gross margin into price, volume, and mix effects.

Predictive maintenance analytics reduce downtime cost; the business case compares analytics cost with avoided failure cost.

Data-driven pricing uses elasticity estimates and competitive data; it must respect competition law and non-discrimination obligations.

Model governance: document data sources, assumptions, validation, and ownership; review models periodically and on material change.

Materiality is a matter of professional judgment based on the size and nature of the item and the needs of users.

Accounting estimates require judgment; the basis, assumptions, and sensitivity should be disclosed and reviewed.

Communication with those charged with governance should be timely, clear, and include significant findings and disagreements.

Where a proposed treatment is not supportable, the accountant should explain why, propose an alternative, and escalate if overruled.

Confidential information should be shared only with those entitled to receive it, and only to the extent necessary.

A written record of advice given, and of the response, protects both the individual and the organisation.

Professional scepticism requires challenging assumptions and corroborating management explanations with independent evidence.

Ethical courage is the willingness to act on a judgment despite pressure; it is supported by clear escalation routes and tone at the top.