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Free ACCA Advanced Financial Management Practice Questions & Answers
400 exam-style Advanced Financial Management questions. Pick your answer, hit Check answer, and see the worked solution — free to start, no signup.
100% free · No login to startQuestion 31
What is 'Return on Equity' (ROE)?
Select an option first.
Correct answer: B — Profit after tax divided by total equity, measuring how efficiently management generates profit from shareholders' funds
Explanation: B is correct. ROE = PAT ÷ Total equity × 100. It measures the return generated for shareholders on their equity investment. A uses pre-tax profit and wrong denominator. C uses revenue. D uses EBIT (pre-interest and pre-tax).
Question 32
What is the DuPont decomposition of ROE?
Select an option first.
Correct answer: B — ROE = Net profit margin × Asset turnover × Financial leverage (equity multiplier) — this breaks ROE into profitability, efficiency, and leverage components
Explanation: B is correct. DuPont: ROE = (PAT/Revenue) × (Revenue/Total assets) × (Total assets/Equity). This identifies the three drivers of ROE: profitability, asset efficiency, and financial leverage. Useful for comparing and diagnosing companies. A adds components (wrong). C and D are market-based identities.
Question 33
What is 'Return on Capital Employed' (ROCE)?
Select an option first.
Correct answer: B — Earnings before interest and tax (EBIT) divided by capital employed (total assets minus current liabilities), measuring operational efficiency
Explanation: B is correct. ROCE = EBIT ÷ Capital employed × 100. Capital employed = non-current assets + working capital. It measures how efficiently the firm uses its total long-term capital. A is ROE. C is a return-on-market-value metric. D is gross profit margin.
Question 34
What is 'Return on Assets' (ROA)?
Select an option first.
Correct answer: B — Net income (or EBIT) divided by total assets — measures how efficiently a company uses all its assets to generate profit, regardless of financing
Explanation: B is correct. ROA = Net income (or EBIT) ÷ Total assets. It measures asset productivity. Unlike ROE, it is not affected by leverage. A uses dividends. C is asset turnover. D uses gross profit.
Question 35
What is 'economic value added' (EVA)?
Select an option first.
Correct answer: B — NOPAT (net operating profit after tax) minus a capital charge (WACC × invested capital) — measures whether the firm earns more than its cost of capital, representing true economic profit
Explanation: B is correct. EVA = NOPAT − (WACC × Invested capital). A positive EVA means the firm creates value above its cost of capital; negative EVA destroys value. EVA aligns management incentives with shareholder wealth creation. A is accounting profit. C is EBIT. D is operating cash flow proxy.
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Question 36
What is the relationship between EVA and NPV?
Select an option first.
Correct answer: B — The present value of all future EVAs equals the NPV of the firm's investments — both measure value creation, just differently expressed
Explanation: B is correct. PV of all future EVAs = Market value added (MVA) = NPV. Both measure the excess value created over and above the cost of capital. A is wrong. C is wrong. D is wrong — EVA specifically deducts a capital charge.
Question 37
What is 'adjusted present value' (APV)?
Select an option first.
Correct answer: B — A valuation approach that separates the base-case NPV (as if all-equity financed) from the present value of financing side-effects (primarily the tax shield on debt) — APV = Base NPV + PV of financing effects
Explanation: B is correct. APV is useful when the debt level is changing (e.g., LBOs, project finance). It splits the value into what the project is worth unlevered plus the benefit of debt tax shields (and other financing effects). A is not APV. C is a risk-adjusted NPV (different technique). D ignores financing effects.
Question 38
What is the 'tax shield' on debt?
Select an option first.
Correct answer: B — The reduction in taxable income (and therefore tax payable) from deducting interest on debt — the present value of all future tax shields increases firm value: PV = D × t, where D is debt and t is the tax rate (under perpetual debt assumption)
Explanation: B is correct. Interest deductibility creates a tax benefit that increases firm value. Modigliani and Miller (with taxes) showed that V_L = V_U + PV of tax shield. A is the opposite (tax on interest received). C is not the tax shield. D describes capital allowances.
Question 39
In APV, what discount rate is used for the tax shield?
Select an option first.
Correct answer: B — The cost of debt (Kd) if debt level is constant, or the unlevered cost of equity (Ku) if debt is determined by a fixed proportion of project value
Explanation: B is correct. If debt is maintained at a constant level, the tax shield is as risky as the debt itself → discount at Kd. If debt is rebalanced to a target proportion, the tax shield is as risky as the project → discount at Ku. A (WACC) is used in traditional NPV, not APV. C and D are wrong.
Question 40
What is the Modigliani-Miller (MM) theorem without taxes?
Select an option first.
Correct answer: B — In a perfect capital market (no taxes, no bankruptcy costs, symmetric information), the value of a firm is independent of its capital structure — the WACC is constant regardless of the debt-equity mix
Explanation: B is correct. MM Proposition I (no taxes): V_L = V_U — firm value is independent of financing. Proposition II (no taxes): cost of equity rises exactly to offset the benefit of cheaper debt, keeping WACC constant. A and C are wrong. D is a simplistic conclusion.
Question 41
What does the MM theorem with corporate taxes suggest about capital structure?
Select an option first.
Correct answer: B — With corporate taxes, firm value increases with debt because interest is tax-deductible — in the extreme case, a firm should use 100% debt. In reality, bankruptcy and agency costs offset the tax benefit
Explanation: B is correct. MM with taxes: V_L = V_U + T×D. The tax shield benefit increases with debt. However, at extreme debt levels, financial distress and bankruptcy costs create offsetting costs — the 'trade-off theory'. A is MM without taxes. C and D ignore the tax benefit of debt.
Question 42
What is the 'trade-off theory' of capital structure?
Select an option first.
Correct answer: B — Firms balance the tax benefit of debt (interest tax shield) against the costs of financial distress to find an optimal capital structure that maximises firm value
Explanation: B is correct. Trade-off theory: optimal capital structure = point where the marginal benefit of the tax shield equals the marginal cost of financial distress. At this point, firm value is maximised. A and C are extreme positions. D is MM without taxes.
Question 43
What are 'direct costs of financial distress'?
Select an option first.
Correct answer: B — Legal fees, administrative costs, and other out-of-pocket expenses directly arising from bankruptcy or reorganisation proceedings
Explanation: B is correct. Direct costs: lawyers, accountants, court fees, restructuring advisers in a formal insolvency or distress situation. Indirect costs (more economically significant) include: loss of customers, suppliers demanding cash upfront, management distraction, and inability to invest in positive NPV projects. A, C and D are not direct costs.
Question 44
What is the 'pecking order theory' of capital structure?
Select an option first.
Correct answer: B — Firms prefer internal finance (retained earnings) first, then debt, and equity only as a last resort — driven by information asymmetry between management and investors
Explanation: B is correct. Pecking order (Myers and Majluf, 1984): management knows more than investors. Issuing equity signals undervaluation risk → market reacts negatively. Internal finance has no signalling cost. Debt has less information asymmetry than equity. A reverses the preference. C is close but wrong (debt before internal finance). D is wrong.
Question 45
What is the 'agency cost' problem between shareholders and debt holders?
Select an option first.
Correct answer: B — When a firm is near insolvency, shareholders (through management) may take on excessive risk — if the gamble pays off, equity holders benefit; if it fails, debt holders bear the loss (asset substitution). Debt holders anticipate this and charge higher rates
Explanation: B is correct. Asset substitution (risk shifting): shareholders gain from upside but limited liability means they don't bear the full downside of risky projects. Debt holders price this risk ex ante. Underinvestment problem: near-default firms may reject positive NPV projects if the benefit mainly accrues to debt holders. A ignores the conflict. C and D are wrong.
Question 46
What is a 'real option' in investment appraisal?
Select an option first.
Correct answer: B — The flexibility embedded in a real investment project — the right (not obligation) to take a future action such as expand, defer, abandon, or switch operations, which has value because future conditions are uncertain
Explanation: B is correct. Real options recognise that NPV undervalues projects with managerial flexibility. Types: option to expand (call), option to defer (call), option to abandon (put), option to switch. Option value is greater when uncertainty is higher. A is a commodity option. C and D are financial options.
Question 47
What is the 'option to defer' a project and when is it valuable?
Select an option first.
Correct answer: B — The right to wait before committing to an investment — valuable when the project's NPV is currently low but may increase over time, or when waiting for better information. Equivalent to a call option on the project's value
Explanation: B is correct. Option to defer: like a call option — you hold the right to invest (buy the asset) at the exercise price (capital expenditure) at any time before expiry. Value increases with uncertainty (variance) in the underlying project's cash flows. A is debt management. C is option to abandon. D is competitive intelligence.
Question 48
In Black-Scholes, what five inputs are needed to value a European call option?
Select an option first.
Correct answer: B — Current asset price (S), exercise price (X), risk-free rate (r), time to expiry (t), and volatility of the underlying asset (σ)
Explanation: B is correct. Black-Scholes inputs: S (current price), X (strike price), r (risk-free rate), t (time to maturity), σ (standard deviation / volatility of underlying). These five are the minimum required for a European option valuation. A is incomplete. C and D are wrong inputs.
Question 49
What is the 'time value' of an option?
Select an option first.
Correct answer: B — The difference between the total option price (premium) and the option's intrinsic value — reflecting the probability that the option will gain more value before expiry
Explanation: B is correct. Option premium = Intrinsic value + Time value. Time value reflects: time remaining (longer = more time value), volatility (higher σ = more time value), and interest rate effects. At expiry, time value = 0 and price = intrinsic value. A is the time value of money (different). C is just a component. D is intrinsic value only.
Question 50
What does it mean when an option is 'in the money'?
Select an option first.
Correct answer: B — For a call option: the current price of the underlying is above the strike price (S > X), so it has positive intrinsic value. For a put: S < X
Explanation: B is correct. In the money (ITM): call option — S > X (profitable to exercise); put option — S < X (profitable to exercise). Out of the money (OTM): call — S < X; put — S > X. At the money (ATM): S = X. A describes an expired worthless option (OTM at expiry). C and D are wrong.
Question 51
What is 'put-call parity' in option pricing?
Select an option first.
Correct answer: B — The fundamental relationship: C + PV(X) = P + S, where C = call price, P = put price, S = current asset price, X = strike price, PV(X) = present value of the strike. It enables the price of one option to be derived from the other
Explanation: B is correct. Put-call parity: C − P = S − PV(X). This no-arbitrage relationship holds for European options on non-dividend-paying assets. It can be used to find the value of a put given a call (or vice versa). A is vague. C and D are wrong.
Question 52
What is a 'sensitivity analysis' in project appraisal?
Select an option first.
Correct answer: B — Changing one variable at a time (e.g., sales volume, price, cost) to see by how much it must change before the NPV of a project falls to zero — it identifies the most critical variables
Explanation: B is correct. Sensitivity analysis calculates the 'break-even' change for each variable. Variables requiring only small adverse changes to make NPV zero are the most sensitive and need most attention. A is scenario analysis. C is not a project appraisal technique. D is scenario/stress testing.
Question 53
What is 'scenario analysis' in investment appraisal?
Select an option first.
Correct answer: B — Assessing the NPV of a project under different combinations of variables representing distinct scenarios (e.g., optimistic, base case, pessimistic) — all key variables change simultaneously to reflect realistic scenarios
Explanation: B is correct. Scenario analysis: multiple variables change together to represent coherent, internally consistent scenarios. It differs from sensitivity analysis (one variable changes). It shows the range of possible NPVs and the probability-weighted expected NPV. A is sensitivity analysis. C is simulation. D is risk-adjusted discounting.
Question 54
What is 'Monte Carlo simulation' in investment appraisal?
Select an option first.
Correct answer: B — A technique that assigns probability distributions to key uncertain variables and generates thousands of random combinations of those variables, producing a full distribution of possible NPVs — allows assessment of risk and probability of NPV > 0
Explanation: B is correct. Monte Carlo simulation: assigns probability distributions (not point estimates) to uncertain variables, then randomly samples from those distributions thousands of times. The result is a full distribution of NPVs, showing expected value and risk. A is incorrect. C is scenario analysis. D is wrong.
Question 55
What is the 'certainty equivalent' approach to risk in capital budgeting?
Select an option first.
Correct answer: B — Adjusting the expected cash flows downward by a risk factor (certainty equivalent coefficient) to convert them to their risk-free equivalent, then discounting at the risk-free rate
Explanation: B is correct. Certainty equivalent approach: risky cash flows × certainty equivalent coefficient (α < 1) = risk-adjusted cash flows, discounted at the risk-free rate. Mathematically equivalent to risk-adjusted discounting when applied consistently. Useful when risk changes over time. A is the risk-adjusted discount rate approach. C and D are wrong.
Question 56
What is the 'risk-adjusted discount rate' approach?
Select an option first.
Correct answer: B — Adding a risk premium to the cost of capital to obtain a higher discount rate for riskier projects, so that risky cash flows are penalised through a higher discount rate reducing their present value
Explanation: B is correct. Risk-adjusted discount rate: discount rate = risk-free rate + risk premium. The risk premium reflects the project's systematic risk (using CAPM-based beta). The higher discount rate reduces the PV of future cash flows, penalising riskier projects. A gives no premium for risk. C is the certainty equivalent approach. D is wrong.
Question 57
How do you ungear (asset) beta from an equity beta for use in a different-risk project?
Select an option first.
Correct answer: B — Use the Modigliani-Miller formula: β_a = β_e × E/(E+D(1-t)), where E = equity market value, D = debt market value, t = tax rate — the asset beta removes the effect of financial leverage from the equity beta
Explanation: B is correct. To appraise a project with different business risk, use a proxy company's equity beta, ungear it (remove financial risk) to get the asset/activity beta, then regear it for the actual firm's financing mix to get a project-specific equity beta. The formula strips out the leverage effect. A is wrong. C and D are incorrect.
Question 58
What is 'International Fisher Effect' (IFE) and how does it relate to exchange rates?
Select an option first.
Correct answer: B — The theory that spot exchange rates adjust to reflect differences in nominal interest rates between two countries — higher interest rate countries will see their currencies depreciate to offset the interest rate advantage
Explanation: B is correct. IFE (Fisher Effect in an international context): nominal interest rate differentials equal expected exchange rate changes. If one country has a 3% higher interest rate, its currency should depreciate by approximately 3%. A is purchasing power parity. C is interest rate parity. D is a separate concept.
Question 59
What is 'Purchasing Power Parity' (PPP)?
Select an option first.
Correct answer: B — The theory that exchange rates adjust so that the same basket of goods costs the same in different countries — in the long run, the currency of the country with higher inflation depreciates to offset the price difference
Explanation: B is correct. PPP (law of one price): if a basket costs more in Country A, A's currency depreciates until the real prices equalise. Long-run exchange rate forecasting: S₁/S₀ = (1 + inflation_A) / (1 + inflation_B). A is IFE. C is unbiased expectations hypothesis. D is wrong.
Question 60
What is 'Interest Rate Parity' (IRP)?
Select an option first.
Correct answer: B — The forward exchange rate reflects the interest rate differential between two countries — the currency of the country with the higher interest rate trades at a forward discount
Explanation: B is correct. Covered IRP: F/S = (1 + r_domestic) / (1 + r_foreign), or approximately F/S − 1 = r_d − r_f. The forward premium/discount exactly offsets the interest rate differential, preventing covered interest arbitrage. A is the Fisher effect. C is the real interest rate parity. D is a fixed exchange rate system.
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