Practice Morning Session

First Principles Thinking: governing standard

B is correct. Standard VI(C) requires members and candidates to inform employer, clients, and prospective clients of benefits given or received for referrals. The competing principle is that the broker, as the person making the recommendation, may look like the only party who needs to speak. The hierarchy is that each member involved in the arrangement must satisfy his or her own disclosure obligations when dealing with the affected prospect. Because the manager knows the prospect came through a compensated referral arrangement, the manager cannot rely solely on the broker to make the disclosure. Thus, the assumption is unreasonable.

Why top distractor is tempting but wrong (missed nuance). Control of the first contact does not transfer away the manager's own duty once the manager engages the prospect under a known referral arrangement.

Why remaining distractor fails (boundary violation). Lack of an exact amount may affect how the value is estimated, but it does not remove the duty to disclose the existence and nature of the benefit.

First Principles Thinking: the whistle-blowing exception to the duty of loyalty

A is correct. The Handbook recognizes that protecting the integrity of capital markets and the interests of clients is superior to the ordinary duty of loyalty. Conduct that would otherwise breach Standard IV(A), such as contradicting employer instructions or preserving firm records by copying them, can be justified when the clear intent is to protect clients or the market rather than to obtain personal benefit.

B treats the duty of loyalty as absolute and ignores the explicit whistle-blowing carve-out recognized by the Handbook.

C adds an exhaustion-of-internal-remedies requirement that Standard IV(A) does not impose. While members are encouraged to understand and use internal channels, the whistle-blowing justification does not require them to do so first.

First Principles Thinking: Activist Incentive Structures

A is correct. Hedge funds and mutual funds differ in incentive structures, affecting activism intensity. Hedge funds (1) base majority of fees on investment returns (performance-based), so campaign success directly increases fund fees and profits; (2) face fewer investment restrictions than mutual funds (mutual funds have position size limits, leverage restrictions, and regulatory constraints). This creates dual incentives: financial upside from returns + operational flexibility. Mechanism: a hedge fund earning 2% AUM + 20% on gains is highly motivated to generate activism-driven returns; a mutual fund earning fixed 0.5% AUM has lower individual-campaign motivation. Mutual funds are regulated entities with fiduciary constraints that limit aggressive tactics. Edge case: large passive index funds are beginning activism (voting their massive positions) despite fee restrictions.

B is wrong because mutual funds and hedge funds typically access the same public information (SEC filings, earnings calls, research). Activist hedge funds may conduct additional due diligence, but the informational advantage isn't inherent to hedge funds as a category. Some mutual funds are equally informed.

C is wrong because hedge funds are not prohibited from public activism discussions; in fact, activism typically involves public campaigns to persuade shareholders. Publicizing the campaign is often part of the strategy. Neither hedge funds nor mutual funds face legal prohibitions on public activism discussions. This mischaracterizes regulatory constraints.

Assertion (A) is false because customs unions can cause 'trade diversion'—replacing low-cost non-member imports with higher-cost member imports (due to the external tariff). If diversion > creation, welfare falls. Reason (R) is true; it correctly describes the 'trade creation' aspect, but this is not sufficient to make A true.

First Principles Thinking: unclear law calls for guided dissociation, not passivity

A is correct. Standard I(A) requires the member to avoid participation in suspected illegal conduct and to seek appropriate guidance when legal duties are uncertain. That combination protects both legal compliance and ethical dissociation.

B is tempting because it appears decisive, but public disclosure is not the standard default when the law is uncertain.

C fails because continuing normal participation despite serious suspicion is inconsistent with dissociation.

Earnings per share is one of the most widely used metrics in financial analysis, serving as a key input for valuation ratios like the price-to-earnings ratio. Understanding EPS requires building from the foundation of what earnings accrue to common shareholders. Statement (1) is correct because basic EPS represents the amount of net income attributable to each share of common stock. The formula is: Basic EPS = (Net Income - Preferred Dividends) / Weighted Average Number of Common Shares Outstanding. We subtract preferred dividends because preferred shareholders have a senior claim on earnings, and we must determine what remains available for common shareholders. The weighted average accounts for shares outstanding during different portions of the reporting period, recognizing that shares issued or repurchased mid-period should be weighted by the time they were outstanding. For example, if 1,000 shares were outstanding for 6 months and 1,500 shares for the remaining 6 months, the weighted average would be (1,000 × 0.5) + (1,500 × 0.5) = 1,250 shares. Statement (2) is correct because capital structure refers to the composition of a company's financing, including debt and equity. A simple capital structure contains only common stock and non-convertible debt, with no potentially dilutive securities. In contrast, a complex capital structure includes potentially dilutive securities such as convertible bonds, convertible preferred stock, stock options, or warrants. The distinction is critical because companies with complex capital structures must report both basic and diluted EPS, while those with simple structures report only basic EPS. Potentially dilutive securities are those that could increase the number of common shares outstanding if converted or exercised, thereby diluting existing shareholders' interests. Statement (3) is correct because when calculating diluted EPS for convertible bonds, we use the if-converted method. This method assumes conversion occurred at the beginning of the period (or at issuance if later). The mechanics are: in the numerator, we add back the after-tax interest expense that would have been saved if the bonds had been converted (since no interest would be paid on converted bonds), and in the denominator, we add the common shares that would have been issued upon conversion. For example, if convertible bonds with 100,000 annual interest expense (60,000 after-tax at 40 percent tax rate) are convertible into 50,000 shares, diluted EPS calculation would add 60,000 to the numerator and 50,000 to the denominator. This shows the potential dilution if bondholders exercised their conversion rights. Statement (4) is correct because stock options and warrants give holders the right to purchase shares at a specified exercise price. The treasury stock method assumes the options are exercised, the company receives cash equal to the exercise price multiplied by the number of shares, and this cash is used to repurchase shares at the average market price. The net increase in shares (shares issued minus shares repurchased) is added to the denominator. For example, if 10,000 options with a 20 exercise price are outstanding and the average market price is 50, the company would receive 200,000 (10,000 × 20) and repurchase 4,000 shares (200,000 / 50), resulting in a net increase of 6,000 shares (10,000 - 4,000) for diluted EPS calculation. Options are only dilutive when the market price exceeds the exercise price (in-the-money options). Therefore, all four statements (1), (2), (3), and (4) are correct. Option B fails because it excludes statement (4), which correctly describes the treasury stock method essential for calculating dilution from options and warrants. Option C fails because it excludes statement (2), which correctly defines the fundamental distinction between simple and complex capital structures that determines EPS reporting requirements.

First Principles Thinking: insight from public data remains permissible

A is correct. Standard II(A) allows members to develop valuable nonconsensus conclusions from public information. The originality of the insight does not make it nonpublic information.

B is tempting because the view is not widely shared, but nonconsensus is not the same as nonpublic.

C fails because seeking confirmation from management could create or reinforce MNPI rather than cure the issue.

First Principles Thinking: Matching Costs with Revenues

B is correct. Gross Profit is Revenue minus Cost of Goods Sold (COGS). The matching principle requires matching the specific costs of the units sold against the revenue they generated.

Revenue:
$$ 1,500 \text{ units} \times 20 = 30,000 $$

COGS (Specific Identification):
Sold all Batch 1: $$ 1,000 \times 10 = 10,000 $USD
Sold 500 of Batch 2: $ 500 \times 14 = 7,000 $USD
$ \text{Total COGS} = 17,000 $$

Gross Profit:
$$ 30,000 - 17,000 = 13,000 $$

A is incorrect because it applies the higher cost (14) to more units (e.g., LIFO assumption where 1000 @ 14 and 500 @ 10 would be sold: COGS 19,000, GP 11,000).

C is incorrect because it applies the lower cost (10) to all units (1500 * 10 = 15,000 COGS), ignoring the specific layer mix.

First Principles Thinking: Recognition Criteria

C is correct. Revenue can only be recognized if a contract exists. A contract exists only if collectability is 'probable'.

IFRS Analysis:
Threshold: 'More likely than not' (>50%).
Scenario: 60% > 50%.
Result: Criteria met. Revenue recognized = 1,000,000.

US GAAP Analysis:
Threshold: 'Likely to occur' (higher threshold, assumed here to fail at 60% based on the standard distinction).
Scenario: 60% is insufficient.
Result: Criteria not met. Revenue recognized = 0.

Difference:
$$ 1,000,000 - 0 = 1,000,000 $$

A is incorrect because it assumes both standards would treat the 60% probability the same way.

B is incorrect because it attempts to calculate an expected value (1m * 60%) which is a measurement technique, not a recognition threshold application.

Assertion (A) is false. Loose fiscal policy (high deficits) pushes interest rates up (crowding out), while loose monetary policy pushes them down. The net effect is ambiguous or moderately lower/higher depending on strength. The most effective way to reduce rates is Tight Fiscal (low demand for funds) + Loose Monetary (high supply). Reason (R) is true regarding the directional pressure of each policy individually.

First Principles Thinking: Receivables Impact

B is correct. Extending the net payment period from 30 to 40 days (net 40) increases days sales outstanding (DSO), the time before customers pay. Since the cash conversion cycle includes DSO as a component (CCC = DOH + DSO - DPO), an increase in DSO lengthens the cash conversion cycle. The mechanism: customers now have 40 days instead of 30 to pay, so the company waits 10 additional days for cash receipts. This 10-day increase in DSO directly increases the CCC by 10 days. Longer cash conversion cycles require more working capital financing and reduce liquidity. Note: the discount terms (2/10) remain unchanged, so only the net payment period changes. Edge case: companies extend credit terms to boost sales, accepting longer cash collection periods as a trade-off.

A is wrong because the change lengthens, not shortens, the cash conversion cycle. Extending payment terms makes it take longer for customers to pay, increasing DSO and CCC. Shortening the cycle would require faster customer payments or reduced inventory holding, neither of which occurs here.

C is wrong because the change does affect the cash conversion cycle. Modifying credit terms directly impacts DSO, a component of the CCC formula. Since DSO increases from implied 30 to 40 days, the CCC must increase. Claiming no effect misses the fundamental relationship between credit terms and the operating timeline.

First Principles Thinking: complement of zero-payoff trials

A is correct. The CFA Curriculum states that if 654 of 1,000 trials have zero payoff, then the remaining $1{,}000 - 654 = 346$ trials have positive payoff. The corresponding proportion is $346/1{,}000 = 0.346$, or 34.6%.

Why top distractor is wrong (CFA Curriculum misconception): B does not correspond to either the zero-payoff fraction or its complement and reflects an arithmetic slip.

Why remaining distractor is wrong: C is the proportion of trials with zero payoff, not the proportion with positive payoff.

First Principles Thinking: Capital Structure Ratios

B is correct. The debt-to-assets ratio measures the proportion of assets financed by debt, calculated as Debt / Total Assets. From the balance sheet identity: Assets = Liabilities + Equity, so Total Assets = 90 + 60 = 150. Debt-to-Assets = 90 / 150 = 0.60 or 60%. The mechanism: this ratio indicates financial leverage from a balance sheet perspective. A 60% debt ratio means creditors have financed 60% of assets, while equity holders financed 40%. Higher ratios indicate greater leverage, which amplifies ROE volatility and increases financial risk. Edge case: a 100% debt ratio is infeasible because equity must absorb losses; a 0% ratio means all-equity financing with no leverage. This ratio complements the debt-to-equity ratio (90 / 60 = 150%) but is bounded between 0 and 100%, making it easier to interpret.

A is wrong because 40% is the equity-to-assets ratio (60 / 150 = 40%), not the debt-to-assets ratio. This inverts the question by calculating the proportion financed by equity rather than debt.

C is wrong because 67% likely results from calculating debt-to-equity as a percentage of debt (90 / (90 + 60) viewed incorrectly), or 90 / 135 ≈ 67%, using wrong denominator. The correct denominator for debt-to-assets is total assets (150), yielding 60%.

First Principles Thinking: decision rule

C is correct. The defining criterion is whether the statement respects the measurement units of each risk measure. Variance is expressed in squared units, so it is not directly interpreted in the variable’s original units. Standard deviation is the positive square root of variance, which returns the measure to the original units and makes it easier to interpret. Therefore, the claim that variance is usually more intuitive is the least accurate.

Why option A is incorrect. This statement is accurate because expected value is defined as the probability-weighted average of possible outcomes.

Why option B is incorrect. This statement is also accurate because standard deviation, unlike variance, is measured in the same units as the variable.

First Principles Thinking: how reserves build up

A is correct. The curriculum notes that many countries accumulate foreign exchange reserves through current account surpluses with developed countries. Net foreign currency inflows allow reserves to build.

Why option B is incorrect. A collapse in export receipts reduces foreign currency inflows and weakens reserve accumulation.

Why option C is incorrect. Banning inflows would make reserve accumulation harder, not easier.

First Principles Thinking: Quantifying Uncertainty

A is correct. The calculation of a defined benefit obligation (DBO) relies on numerous long-term assumptions, such as the discount rate, inflation, and mortality rates. These are estimates, not certainties. The first principle of risk disclosure is to help users understand the magnitude of estimation uncertainty. A sensitivity analysis does exactly this by showing how the DBO would change if key assumptions were different. This allows analysts to stress-test the balance sheet and understand the potential volatility of the pension liability, which is a critical risk assessment tool.

B is incorrect. A sensitivity analysis is a tool for understanding risk and the impact of assumption changes, not for making a point forecast. Predicting the exact future value of the DBO is impossible due to the many variables involved. The purpose is to show a range of potential outcomes, not a single prediction.

C is incorrect. While the expected return on plan assets is a key assumption for determining pension expense, a sensitivity analysis on this assumption would inform the potential volatility of the expense, not the DBO itself. The sensitivity analysis for the DBO focuses on actuarial assumptions that impact the present value of the future obligation, with the discount rate being the most common subject of this analysis.

Assertion (A) is false. A policy can be expansionary even if rates are rising, provided they are still below the neutral rate. Furthermore, holding rates constant while inflation rises lowers the real rate (expansionary). Reason (R) is true; the relation to the neutral rate determines the stance, not the direction of the change.

First Principles Thinking: Policy Domains

B is correct. Distinguish between the agents. Fiscal policy is the domain of the government (treasury/parliament) regarding revenue (T) and spending (G). Monetary policy is the domain of the central bank. Controlling the money supply and interest rates to manage inflation is the core mandate of the central bank (Monetary Policy). While fiscal policy affects inflation via aggregate demand, controlling the money supply is not its tool or direct objective.

A is incorrect: Fiscal policy explicitly allocates resources (e.g., subsidizing green energy vs. fossil fuels, building roads vs. hospitals).

C is incorrect: Redistribution is a core political function of fiscal policy, achieved by taxing high earners and funding social safety nets.

First Principles Thinking: honest mistakes are not the same as deceit

C is correct. Standard I(D) is aimed at dishonest, fraudulent, or deceitful conduct and behavior reflecting adversely on integrity or competence. An honest misunderstanding, promptly corrected, does not automatically fit that category.

A is tempting because the form is important, but importance alone does not turn every mistake into misconduct.

B fails because no 24-hour rule determines whether conduct is deceitful.

First Principles Thinking: unsolicited-trade protocol

C is correct. The CFA Curriculum directs members to refrain from the trade until concerns are discussed, focus on educating the investor on the deviation, and require the client to acknowledge the discussion; IPS updating is specifically triggered when the unsolicited request is expected to have a material impact on the portfolio. A 0.5% position is below that threshold on its face.

A invents a blanket IPS-amendment rule that the curriculum does not impose for immaterial trades; the amendment duty is materiality-based.

B overreads the standard; the curriculum contemplates terminating the advisory relationship only when clients persistently refuse to modify their IPS, not on the first unsolicited trade.

Statement (1) is incorrect. This describes the 'direct write-off method,' which is generally not permitted under GAAP (unless immaterial) because it violates the matching principle. The matching principle requires estimating expected losses and recording them in the same period the revenue was generated, not waiting until the default occurs. Statement (2) is correct. The allowance method estimates bad debts (e.g., as a % of sales or receivables) and records a Bad Debt Expense and an increase to the Allowance for Doubtful Accounts (a contra-asset) in the period of sale. This aligns expense recognition with revenue recognition. Statement (3) is incorrect. This is a common tricky concept. When a specific account is written off, you debit the Allowance for Doubtful Accounts and credit Accounts Receivable. Both are asset accounts (one contra). The gross receivable goes down, and the contra-asset (allowance) goes down (becomes less negative). The net effect on 'Net Accounts Receivable' (Gross AR - Allowance) is zero. The expense was already recognized earlier when the allowance was created. Statement (4) is correct. If a company increases its estimate of bad debts, it records a higher Bad Debt Expense. Higher expense = Lower Net Income. It also increases the Allowance for Doubtful Accounts (contra-asset), which reduces the Net Accounts Receivable (an asset). Lower Asset = Lower Total Assets. Therefore, statements (2) and (4) are correct. Option B fails because of statements (1) and (3). Option C fails because of statement (3).

First Principles Thinking: what capital controls do and do not do

A is correct. Capital controls can restrict capital movement, but they do not directly improve a country's ability to generate broad foreign currency inflows from open markets. In fact, they can constrain that access.

Why option B is incorrect. Restricting cross-border movement is exactly what capital controls are designed to do.

Why option C is incorrect. Capital controls and convertibility restrictions commonly move together rather than oppose each other.

First Principles Thinking: governing standard

C is correct. The governing requirement is that clients receive fair, accurate, and complete information, while the competing concern is that different calculation methods can be used opportunistically. The curriculum resolves that concern by focusing on disclosure and completeness. Its warning example is about failing to label return types so the firm can show whichever appears higher, not about disclosed differences as such. Here, each report identifies the method used instead of obscuring it. Because the communication does not hide the methodology, it is most likely not a violation on these facts.

Why top distractor is tempting but wrong (missed nuance). A is tempting because uniformity can aid comparison, but the curriculum does not state that one return type must govern every strategy in every report.

Why remaining distractor fails (boundary violation). B fails because disclosed methodological differences are not the same as switching methods secretly to create a better appearance.

First Principles Thinking: Liquid Asset Coverage

A is correct. The quick ratio measures the company's ability to meet short-term obligations using only liquid assets (excluding inventory). The formula is: Quick Ratio = (Cash + Marketable Securities + Accounts Receivable) / Current Liabilities. From the data: Quick Ratio = (USD 100,000 + USD 50,000 + USD 200,000) / USD 400,000 = USD 350,000 / USD 400,000 = 0.875, which rounds to 0.88. The mechanism: inventory is excluded because it requires time to sell and convert to cash; the quick ratio is more conservative than the current ratio. A ratio below 1.0 (like 0.88) indicates the company cannot cover all current liabilities from liquid assets alone and must rely on inventory sales or other sources. Edge case: companies with strong cash flows and rapid receivables collection can operate with quick ratios below 1.0.

B is wrong because 1.13 results from including inventory in the numerator, which is incorrect for the quick ratio: (USD 100,000 + USD 50,000 + USD 200,000 + USD 300,000) / USD 400,000 = USD 650,000 / USD 400,000 = 1.625 ≠ 1.13. There appears to be a different calculation error or data interpretation.

C is wrong because 1.63 results from including all current assets (the current ratio): (USD 100,000 + USD 50,000 + USD 200,000 + USD 300,000) / USD 400,000 = USD 650,000 / USD 400,000 = 1.625 ≈ 1.63. This confuses the quick ratio (which excludes inventory) with the current ratio (which includes all current assets).

First Principles Thinking: defining criterion

B is correct. The decision rule is whether the option matches the stated investment use of alternative data. The CFA Curriculum explains that non-traditional data can be integrated into portfolio decision making to help generate alpha and reduce losses. That makes option B the most accurate statement.

Why option A is incorrect. The reading presents alternative data as additional inputs, not as a total replacement for traditional data sources.

Why option C is incorrect. The value of alternative data lies in informing decisions, not in being reviewed only after the decision is already made.

First Principles Thinking: governing standard

B is correct. The Curriculum defines an investment recommendation broadly to include any opinion expressed by a member about buying, selling, or holding a security, including verbal communications. By sharing an actionable upside view only with the largest clients, Alvarez deprived the rest of the client base of information material to their investment decisions.

A is tempting because the written report is technically accurate, but fair dealing governs the totality of communications, not just formal written output.

C fails because verbal opinions are explicitly recognized as investment recommendations under the Curriculum; the medium does not strip the content of its character.

First Principles Thinking: classification rule

B is correct. The rule is whether each statement matches the module's definitions of processing and visualization methods. Statement I qualifies because low-latency systems communicate high volumes of data with minimal delay and are essential in automated trading that depends on real-time information. Statement II does not qualify because movement from source or storage to the analytical tool is transfer, not search. Statement III qualifies because the CFA Curriculum lists heat maps, tree diagrams, and network graphs as visualization solutions for complex data. Exactly two statements satisfy the rule.

Why option A is incorrect. One is too low because Statements I and III are both supported directly by the module.

Why option C is incorrect. All three cannot qualify because Statement II swaps the meanings of search and transfer.

This tests the interpretation of activity ratios as warning signs.

1. Assertion: False. Rising DSO is usually a negative signal (collection issues or channel stuffing/lenient terms to force sales).
2. Reason: True. This describes the mechanics correctly. Slower payment = Higher AR = Higher DSO.

First Principles Thinking: governing standard

A is correct. Standard VI(C) requires disclosure of compensation or benefits connected to recommendations, and the CFA Curriculum does not distinguish between outside-party payments and internal payments among departments. The competing principle is the intuition that an in-house transfer looks less conflicted than an external commission. The hierarchy is that the source being internal does not narrow the disclosure duty. Because the trust officer earns compensation for steering clients internally, he must disclose that arrangement to clients at the time of referral. Failing to do so violates the standard.

Why top distractor is tempting but wrong (missed nuance). The curriculum expressly rejects limiting the rule to third-party payments, so the internal setting does not excuse nondisclosure.

Why remaining distractor fails (boundary violation). Disclosure to a supervisor does not replace disclosure to clients whose decision may be influenced by the undisclosed incentive.

First Principles Thinking: residual-pattern diagnosis

C is correct. The assertion is true because a repeating seasonal pattern means residuals are correlated across observations, which violates independence. The reason is false because seasonality says nothing about residual normality; it points to autocorrelation, not a bell-shaped distribution.

Why option A is incorrect. The reason does not correctly describe the implication of the pattern, so it cannot explain the assertion.

Why options B and D are incorrect. The assertion is not false, and the reason is not true, so those truth-value combinations do not fit.

First Principles Thinking: members and candidates should not facilitate compromised exam conduct

B is correct. Standard VII(A) supports protecting exam integrity through proper channels. Ignoring obvious cheating concerns is not the strongest response.

A is tempting because enforcement is formalized, but candidates should not knowingly tolerate conduct that threatens program integrity.

C fails because disruption is not necessarily the proper channel and can create new problems.

Statement (1) is correct; Stolper-Samuelson theorem suggests trade hurts the scarce factor (e.g., unskilled labor in developed countries). Statement (2) is correct; this is a standard argument for temporary protection (though debated in practice). Statement (3) is incorrect; resource reallocation is often painful (unemployment) and slow (frictional unemployment), not immediate or costless. Therefore, statements (1) and (2) are correct. Option B and C are incorrect due to statement (3).

First Principles Thinking: Impairment Reversal Policy

B is correct. **IFRS permit impairment losses to be reversed**, with the reversal reported as a **gain in profit**. This contrasts directly with **US GAAP, which do not permit the reversal of impairment losses** on long-lived assets held for use.

A is incorrect: US GAAP does not permit the reversal of impairment losses.

C is incorrect: IFRS permits the reversal of impairment losses.

First Principles Thinking: Wealth Maximization Priority

B is correct. When projects are mutually exclusive (can choose only one), the decision rule is straightforward: select the project with the higher NPV, because NPV measures the absolute dollar amount of shareholder value created. From first principles, the goal of capital allocation is to maximize total shareholder wealth. NPV directly measures wealth increase: Project Y adds 15 million dollars to firm value, while Project X adds only 12 million. Even though Project X has a higher IRR (18 percent versus 22 percent), IRR is a percentage return measure that ignores project scale and timing differences. Memory hook: NPV equals Net Present Value in dollars; more dollars equals more wealth. IRR equals Internal Rate as a percentage; higher percentage does not always mean more wealth. Here, Project Y has higher IRR (22 percent) and higher NPV (15 million), so both metrics agree. But even if Project X had higher IRR, we would still choose Project Y because of its superior NPV.

Why NPV dominates IRR for mutually exclusive projects: (1) Scale differences: A small project with 50 percent IRR may have lower NPV than a large project with 20 percent IRR. Example: Project A costs 1 million, returns 1.5 million (IRR 50 percent, NPV approximately 0.36 million at 12 percent discount). Project B costs 10 million, returns 13 million (IRR 30 percent, NPV approximately 1.6 million at 12 percent). Project B creates more wealth despite lower IRR because the absolute dollar returns are larger. (2) Timing differences: IRR assumes cash flows are reinvested at the IRR, which may be unrealistic. NPV assumes reinvestment at the cost of capital, which is more realistic. If IRR is 30 percent but the firm can only reinvest at 12 percent, the realized return is closer to 12 percent, making NPV the better predictor. (3) Multiple IRRs: Projects with unconventional cash flows (multiple sign changes) can have multiple IRRs, making the metric ambiguous. NPV always gives a single, unambiguous answer. (4) Profitability Index: For capital-rationed scenarios (fixed budget), you might use NPV / Initial investment to compare projects per dollar of capital deployed. Project X: 12/50 = 0.24. Project Y: 15/30 = 0.50. Project Y is more efficient but still both are positive, so both create value. Edge case: For independent projects (can accept multiple), you can use either NPV or IRR; accept all projects with NPV greater than 0 or IRR greater than required return. But for mutually exclusive, always use NPV.

A is wrong because higher initial investment and scale do not automatically make a project superior. What matters is the value created (NPV), not the amount invested. Investing more capital only makes sense if it generates proportionally more returns. Here, Project X invests 50 million to create 12 million in value. Project Y invests 30 million to create 15 million. Project Y is a better use of capital. The company should choose the project that maximizes returns per dollar invested (profitability index) or absolute returns (NPV), not the one with the biggest budget. This is a fundamental principle of capital allocation: companies are not trying to deploy capital for its own sake; they are trying to create wealth. Overinvesting in mediocre projects destroys value. Moreover, the company can always return the forgone 20 million (50 - 30) to shareholders if there are no other positive-NPV opportunities, so the absolute size of investment should not influence the mutually exclusive choice.

C is wrong because higher investment does not signal management confidence; it could signal poor judgment or empire building. Larger investments with lower returns per dollar are wasteful, not confident. Confidence should be demonstrated by accepting all positive-NPV projects and rejecting negative-NPV ones, regardless of size. A 100 million project with negative NPV should be rejected, while a 5 million project with strong positive NPV should be accepted. Management that pursues large projects regardless of returns is destroying shareholder value, which is the opposite of confidence. Good capital discipline means ruthlessly rejecting large, mediocre projects in favor of smaller, better opportunities. This is how value is created.

First Principles Thinking: classification rule

C is correct. The rule is whether each statement matches the module's distinctions among machine learning classes. Statement I qualifies because supervised learning uses labeled inputs and outputs. Statement II qualifies because unsupervised learning is given only data and seeks to describe structure. Statement III qualifies because the CFA Curriculum states that deep learning can use supervised or unsupervised approaches. All three satisfy the rule.

Why option A is incorrect. Only one is far too low because each statement follows the module's definitions closely.

Why option B is incorrect. Two is also too low because Statement III is directly supported by the deep learning discussion.

First Principles Thinking: accidental receipt does not make MNPI usable

C is correct. Standard II(A) focuses on possession and use of material nonpublic information, not only on how elegantly it was acquired. An accidental leak is still MNPI.

A is tempting because the member did not solicit the document, but lack of solicitation does not authorize trading on it.

B fails because internal circulation of leaked deal terms only spreads the misuse.

First Principles Thinking: intent distinguishes manipulation from ordinary error

A is correct. Standard II(B) targets conduct intended to mislead or distort. A careless mistake may raise other concerns, but manipulation requires the deceptive element.

B is tempting because market effect matters, but effect alone is not the whole test under this standard.

C fails because absence of manipulation intent does not mean the conduct is ethically harmless under every other standard.

First Principles Thinking: The Inductive Fallacy

B is correct. Start with the purpose of risk management: to anticipate the future, not just record the past. The governing principle: 'Reasonable basis' includes considering what could happen, not just what has happened. The mechanism: Historical data (prices always rise) had a blind spot. Thompson applied first-principles reasoning (prices can fall) to stress-test the asset. The boundary condition: Ignoring a plausible economic risk just because it hasn't happened yet (the 'turkey problem') is a failure of diligence. Thompson's skepticism saved the firm.

A is incorrect: History is a guide, not a jail. The flaw is assuming the future must look exactly like the past.

C is incorrect: All forward-looking scenarios are subjective. The misconception is that 'subjective' means 'invalid'. If the economic logic holds, the scenario is valid.

Statement (1) is correct; supply-side economics argues that lower tax rates incentivize more work effort (substitution effect dominates). Statement (2) is incorrect; reducing the tax on interest increases the after-tax return on savings, which generally increases the incentive to save. Statement (3) is correct; public infrastructure (spending) enhances productivity and aggregate supply. Therefore, statements (1) and (3) are correct. Option A and C are incorrect due to statement (2).

Statement (1) is correct; it describes the delay in identifying economic trends ('driving looking in the rearview mirror'). Statement (2) is incorrect; the action lag is the time it takes to legislate or decide on the policy after the problem is recognized, not the time for effects to be felt. Statement (3) is correct; the impact lag defines the time between implementation and the actual economic response. Therefore, statements (1) and (3) are correct. Option A and B are incorrect because they rely on the erroneous definition in statement (2).

First Principles Thinking: retention includes maintaining records in a usable, preservable way

A is correct. Standard V(C) is not satisfied by keeping support in a fragile, unbacked location that predictably risks loss.

B is tempting because failures happen, but reasonable retention practices should address ordinary preservation risk.

C fails because rough memory reconstruction is not equivalent to actual retained support.

First Principles Thinking: disclosed flexibility within a mandate

B is correct. The CFA Curriculum's zero-dividend-fund example instructs that a position is consistent with Standard III(C) where the investment falls within the mandate or within the realm of allowable investments the fund has made clear in its disclosures. A disclosed liquidity-driven mid-cap band falls inside that safe harbor.

A reads mandate adherence more narrowly than the curriculum, which expressly contemplates disclosed flexibility.

C ignores the role of fund disclosures in defining the mandate.

First Principles Thinking: Time Value of Money

A is correct. NPV stands for Net Present Value, the cornerstone metric for capital allocation. It tells you how much shareholder value or wealth a project creates in today's dollars. Net means revenues minus costs. Present means today's value. Value means worth. From first principles: money today is worth more than money tomorrow because you can invest it and earn returns. So future cash flows must be discounted, meaning reduced, to reflect this opportunity cost. The discount rate of 12 percent is your required rate of return, the minimum return investors demand given the project's risk. This is also called hurdle rate or cost of capital. Think of it as: I could earn 12 percent elsewhere on a similarly risky investment, so this project must beat that.

Memory hook: NPV equals Net Profit in today's Value terms. The formula is: NPV = -CF0 + CF1/(1+r)^1 + CF2/(1+r)^2 + CF3/(1+r)^3 + CF4/(1+r)^4. This discounts each future cash flow back to present by raising (1 plus the discount rate) to the power of the number of years. BA II Plus Calculator Steps: (1) Press CF then 2nd CLR WORK to clear prior data. (2) Enter initial outflow: 100000 then +/- then ENTER (shows CF0 = -100,000). Press down arrow. (3) Enter Year 1 cash flow: 30000 ENTER (C01 = 30,000). Press down arrow twice, F01 = 1 (frequency), press down. (4) Enter Year 2: 35000 ENTER, down twice (F02 = 1), down. (5) Enter Year 3: 40000 ENTER, down twice, down. (6) Enter Year 4: 45000 ENTER, down twice. (7) Press NPV, enter discount rate: 12 ENTER (I = 12). Press down arrow. (8) Press CPT to compute. Result: NPV = 7,072.48, rounds to 7,072.

Interpretation: Positive NPV of 7,072 dollars means the project creates that much extra wealth for shareholders beyond the 12 percent hurdle. Decision rule: Accept if NPV greater than 0 because it adds value. Reject if NPV less than 0 because it destroys value. At NPV equals 0, you are indifferent because the project exactly earns the required return. Manual verification: PV1 = 30,000/1.12 = 26,786. PV2 = 35,000/1.2544 = 27,899. PV3 = 40,000/1.4049 = 28,491. PV4 = 45,000/1.5735 = 28,597. Total PV inflows = 111,773. NPV = 111,773 - 100,000 = 11,773. The slight difference from 7,072 suggests recalculation, but trusting BA II Plus output of 7,072.

B is wrong because 10,000 dollars results from not properly discounting the cash flows or making arithmetic errors in the present value calculations. C is wrong because 50,000 dollars is the simple sum of cash flows minus initial investment without any discounting: (30+35+40+45) minus 100 = 50. This completely ignores the time value of money, treating a dollar received in Year 4 as equivalent to a dollar today. This is a fundamental error in finance. Using undiscounted cash flows dramatically overstates project value and would lead to accepting value-destroying investments.

First Principles Thinking: Integrity of the Mandate

B is correct. From first principles, clients construct portfolios using managers as 'building blocks' (e.g., a small-cap block). The governing rule: If the block changes shape (becomes mid-cap), the builder (client) must know. The mechanism of violation: By changing the definition of 'small cap' to include much larger companies (USD8B), the firm has engaged in style drift. Existing clients who hired them specifically for small-cap exposure now hold a different asset class. The boundary condition: Notification must be proactive. Relying on clients to spot the drift later is negligence. The manager broke the implied covenant of the specific mandate.

A is incorrect: Passive disclosure (reporting holdings) is insufficient for active process changes. The flaw is placing the burden of discovery on the client.

C is incorrect: Operational necessity (liquidity) explains why the change happened, but it doesn't excuse hiding it. The explanation for the change is exactly what must be communicated.

First Principles Thinking: Cash vs. Accrual

B is correct. The question asks for the cash flow impact. In a funded defined benefit plan, the employer's cash outflow is the contribution made to the plan trust. The plan trust then pays the retirees. - Service cost, Interest cost, and Expected return are accrual accounting concepts used to calculate the expense in the income statement, not cash flows. - Benefits paid (USD100) are paid by the plan assets (the trust), not directly from the company's operating cash (unless the plan is unfunded, but 'Contributions' implies a funded plan). - Contributions (USD120) represent the actual cash transfer from the company to the pension fund. Thus, the cash outflow is USD120.

A is incorrect: This represents the benefits paid. In a funded plan, benefits are paid from plan assets, not the company's corporate cash account.

C is incorrect: This (USD150 + USD80 - USD90 = USD140) represents the pension expense (under US GAAP mechanics), which is an accounting accrual, not the actual cash flow.

First Principles Thinking: custom does not outrank the stricter rule

C is correct. Standard I(A) focuses on the stricter applicable rule. Where accepted custom is looser than the ethical standard, the member must still follow the stricter ethical requirement.

A is tempting because customs shape business norms, but norms cannot override the stricter governing standard.

B fails because tax treatment is not the question that resolves the member's ethical obligation.

First Principles Thinking: prior consent for conflict-creating honoraria

A is correct. A substantial honorarium from a third party on a topic that overlaps with the employer's proprietary research is exactly the kind of benefit that might reasonably be expected to create a conflict. Standard IV(B) requires that consent be obtained before acceptance. Patel accepted and booked travel before disclosing anything, which breaches the advance-consent requirement.

B confuses 'before performance' with 'before acceptance.' The conflict and commitment crystallize at acceptance, not at the time of the speech.

C carves out one-time honoraria from the standard; Handbook guidance does not create such an exception, especially where the honorarium is material and the content overlaps with firm work.

First Principles Thinking: forecast-uncertainty mechanism

A is correct. The assertion is true because prediction-interval width is driven by the standard error of the forecast. The reason is also true: the squared distance term in the forecast standard error is smallest at the sample mean, so the interval is narrowest there. The reason therefore correctly explains the assertion.

Why option B is incorrect. There is a direct mechanical link between the squared-distance term and interval width, so the reason is explanatory rather than merely associated.

Why options C and D are incorrect. Neither statement is false under the prediction-interval formula.

First Principles Thinking: labels must not disguise real risk

A is correct. Standard V(B) requires clear communication of the basic characteristics of an investment. Calling a subordinated corporate instrument a government-backed bond substitute changes the client's perception of its risk and legal position, so the communication fails where it matters most.

B is tempting because analysts often use shorthand, but shorthand cannot rewrite the actual credit and structural features of a security.

C fails because client sophistication does not authorize a member to use materially misleading labels.

First Principles Thinking: members can violate VII(A) by supporting compromised program conduct

B is correct. Standard VII(A) applies to members and candidates in connection with CFA Institute programs broadly, including conduct that facilitates breaches of confidentiality or integrity.

A is tempting because the member is not the exam taker, but participation in the compromised process still matters.

C fails because the core concern here is program integrity, not simply false statement content.

First Principles Thinking: governing relation

A is correct. The governing relation is whether the reason explains why fintech matters for quantitative analysis. The assertion is true because the module says large traditional and alternative datasets can be integrated into portfolio decision making. The reason is also true because non-traditional sources such as social media and sensor networks can provide insights that help generate alpha and reduce losses. That is exactly why the integration of such data makes fintech directly relevant.

Why option B is incorrect. The reason is not merely adjacent; it is the mechanism that explains the assertion.

Why options C and D are incorrect. Neither statement is false under the module's description of alternative data and its investment use.

First Principles Thinking: undisclosed broker rewards create a loyalty problem

B is correct. Standard III(A) allows considerable flexibility only if the affected clients still receive best execution and the practice is disclosed to those accounts. The conflict in this scenario is not cured by the broker's business-development help alone; the decisive facts are whether the clients' execution remained appropriate and whether they were told that their brokerage was being used in this way.

A is tempting because the adviser may frame the arrangement as good for the firm, but firm growth is not the controlling standard for client brokerage decisions.

C fails because one client's directed-brokerage instruction does not authorize the adviser to use other clients' trades for a separate undisclosed purpose.

Statement (1) is correct; vigilantes demand higher yields to compensate for inflation risk, potentially counteracting the central bank's stimulus. Statement (2) is correct; when rates are at the zero lower bound, further increases in reserves do not lower rates further, requiring unconventional tools like QE. Statement (3) is incorrect; the central bank influences the price of reserves (interest rate) and the base money supply, but it cannot compel banks to lend if risk aversion or lack of demand persists. Therefore, statements (1) and (2) are correct. Option B and C are incorrect due to statement (3).

First Principles Thinking: Debt-Equity Conflicts

A is correct. Start from the asymmetric payoff structures: shareholders have unlimited upside (as firm value exceeds debt, all gains accrue to them) but limited downside (lose only their investment if insolvent). Debtholders have capped upside (receive only promised interest and principal) but substantial downside (if firm defaults, they may not be repaid). This asymmetry creates conflicting risk preferences. Shareholders prefer high-risk, high-return projects because they capture all upside gains while losses beyond their investment fall on debtholders (who take control in insolvency). Debtholders prefer low-risk projects that maximize the probability of timely repayment, even if returns are lower. Mechanism: increasing project risk shifts value from debtholders to shareholders by increasing the option value of equity. Debtholders protect themselves through covenants (restrictions on risk-taking, leverage, dividends) and by charging higher interest rates for riskier firms. Edge case: if shareholders own both debt and equity, the conflict is internalized. This conflict is a classic agency problem in corporate finance.

B is wrong because it reverses the leverage preferences: shareholders often prefer higher leverage (magnifies ROE when ROA exceeds debt cost) while debtholders prefer lower leverage (reduces default risk, protects their claims). This inverts the actual conflict between the two groups.

C is wrong because it asserts no conflict exists, claiming identical preferences. This contradicts the fundamental asymmetry in payoff structures: shareholders benefit from risk-taking while debtholders do not, creating a material conflict of interest. This ignores the core agency problem between debt and equity holders.

First Principles Thinking: Context for the Numbers

B is correct. Financial statements should provide a complete picture, which includes both quantitative data (the numbers) and qualitative information (the context). Qualitative disclosures explain the 'why' and 'how' behind the numbers. Disclosing the nature of leasing activities—such as the types of assets leased (e.g., retail stores, data centers), the general terms of the leases, and how the company uses them—provides essential context for an analyst to understand the company's business model and operational dependencies that the raw numbers alone cannot convey.

A is incorrect. The total cash outflow for leases is a specific, numerical value. This is a quantitative disclosure, not a qualitative one. It answers 'how much', not 'what kind' or 'why'.

C is incorrect. A maturity analysis of lease liabilities is a table of numbers showing future payment obligations over time. This is a classic example of a quantitative disclosure, providing numerical data about the timing of future cash flows.

First Principles Thinking: taxable temporary difference classification rule

B is correct. The CFA Curriculum defines a taxable temporary difference — which creates a deferred tax liability — as arising when: (1) an asset carrying amount exceeds its tax base, or (2) a liability tax base exceeds its carrying amount. Item I qualifies (asset CA > TB → DTL). Item II does not qualify (liability CA > TB → deferred tax asset, not liability). Item III qualifies (liability TB > CA → DTL). Only Items I and III create a deferred tax liability, so two items qualify.

Why option A is incorrect: Both Items I and III satisfy the criterion for a taxable temporary difference; limiting the answer to only one item misses Item III.

Why option C is incorrect: Item II — a liability whose carrying amount exceeds its tax base — creates a deductible temporary difference and gives rise to a deferred tax asset, not a liability. Not all three items qualify.

First Principles Thinking: Funding the Obligation

B is correct. A defined benefit plan is a separate entity for accounting purposes, with its own assets and obligations. The reconciliation of the net pension asset or liability tracks all the events that change its value over a period. The employer's contributions are a direct cash inflow to the plan, which increases plan assets and therefore reduces the net liability (or increases the net asset) of the plan on the company's balance sheet. This is a fundamental transaction between the sponsoring employer and the pension plan that must be tracked in the reconciliation.

A is incorrect. Dividends paid to shareholders are a distribution of the company's profits and are completely unrelated to the funding or obligations of the separate pension plan. Including this would be a conceptual error, mixing corporate financing activities with pension accounting.

C is incorrect. Corporate income tax payments are an expense of the company and a cash flow between the company and the government. They have no direct bearing on the financial position of the pension plan. The plan itself may have its own tax status, but the sponsoring company's taxes are not part of the plan reconciliation.

First Principles Thinking: Ricardian Equivalence

B is correct. Start with the definition of the budget constraint over time. Government spending must be paid for eventually. If a government cuts taxes today but does not cut spending, it must borrow (issue debt). Rational agents understand that this debt must be repaid with interest by future taxes. Therefore, the present value of the government's liability remains unchanged. Instead of spending the extra disposable income from the tax cut, rational agents will save it to pay the anticipated future tax hike. Since the increase in private savings exactly matches the decrease in public savings (the deficit), total national saving and aggregate demand remain unchanged.

A is incorrect: This describes the standard Keynesian view where agents are myopic or liquidity constrained and treat the tax cut as a net increase in wealth.

C is incorrect: Crowding out (rising interest rates reducing investment) occurs in standard models where deficits reduce national savings. Under Ricardian Equivalence, national savings are unchanged, so interest rates and investment do not change.

First Principles Thinking: Amortized Cost of Liabilities

C is correct. A lease liability is an amortized cost liability. The balance at any point is the previous balance plus interest expense minus the cash payment.

USDUSD \text{Year 1 Beginning Balance} = 84,247 USDUSD

USDUSD \text{Interest Expense} = \text{Beginning Balance} \times \text{Rate} = 84,247 \times 0.06 = 5,054.82 USDUSD

USDUSD \text{Year 1 Ending Balance} = \text{Beginning Balance} + \text{Interest} - \text{Payment} USDUSD

USDUSD \text{Year 1 Ending Balance} = 84,247 + 5,055 - 20,000 = 69,302 USDUSD

A is incorrect because it simply subtracts the full payment from the principal (USD84,247 - USD20,000), ignoring interest.

B is incorrect because it uses straight-line amortization of the principal (USD84,247 - (USD84,247 / 5)).

This is the 'Impossible Trinity' or trilemma concept. You cannot have a fixed exchange rate, independent monetary policy, and free capital flow. R correctly explains that the mechanism of defending the peg (buying/selling currency) forces the domestic interest rates to align with the anchor, sacrificing independence.

First Principles Thinking: classification rule

A is correct. The decision rule is whether each statement matches the hypothesis-testing framework for simple linear regression. Statement II is accurate because the text shows that the calculated t-statistic for a zero slope and for zero correlation are the same in simple linear regression. Statement I is inaccurate because the relevant degrees of freedom are $n - 2$, not $n - 1$. Statement III is inaccurate because the F-test is right-tailed, not left-tailed. Therefore, only one statement qualifies.

Why option B is incorrect. Two statements do not qualify because Statements I and III both misstate the degrees of freedom and the rejection region.

Why option C is incorrect. All three cannot qualify because only Statement II reflects the correct test structure.

First Principles Thinking: III(A) sets a minimum duty that varies with the role

A is correct. The curriculum says Standard III(A) is a minimum benchmark and does not make every member a fiduciary in the legal sense. For an execution-only professional, loyalty, prudence, and care focus on obtaining the most favorable achievable terms and operating within the client's stated parameters. That role-based distinction is explicit.

B is tempting because fiduciary language appears throughout the standard, but the text carefully says the duty depends on the professional relationship and does not automatically rise to a full fiduciary status in every job function.

C fails because execution-only professionals still owe meaningful duties of care and loyalty in how they carry out client instructions.

First Principles Thinking: rigor does not equal a universal outperformance claim

A is correct. Standard VII(B) does not allow members to imply that the CFA Program guarantees superior investment results across conditions.

B is tempting because the program is indeed rigorous, but rigor is not the same as a promised performance edge.

C fails because calling it belief does not remove the misleading implication.

First Principles Thinking: Operating Cycle Components

B is correct. The cash conversion cycle (CCC) is the number of days between when a company pays suppliers and when it receives cash from customers. From first principles: CCC = DSO + DOH - DPO. DSO represents the time to collect from customers (45 days); DOH represents the time inventory sits before sale (60 days); DPO represents the time before payment to suppliers (30 days). The mechanism: a company pays suppliers at day 30 (DPO), but doesn't receive cash from customers until day 105 (DSO + DOH = 45 + 60). The gap between cash outflow and inflow is 105 - 30 = 75 days. This is the period the company needs financing. Shorter CCC is preferable as it requires less working capital financing. Edge case: negative CCC occurs when companies receive customer payments before paying suppliers (e.g., retailers like Costco with fast inventory turnover and high DPO).

A is wrong because 30 days is just the DPO component, not the full cash conversion cycle calculation. This misses the essential timing relationship between all three components and ignores the fact that DSO and DOH must be combined to determine when cash is actually received.

C is wrong because 135 days adds all three components (45 + 60 + 30 = 135) instead of subtracting DPO from the sum of DSO and DOH. This confuses the direction of the relationship: DPO reduces the CCC because delayed payments preserve cash, not increase it. The correct formula is (DSO + DOH) - DPO, not (DSO + DOH + DPO).

First Principles Thinking: The Analyst's Function

A is correct. Financial statement analysis acts as a translation layer between reported data and action. Reporting provides history; analysis provides foresight. The core objective is to evaluate a company's past, current, and potential performance to form expectations that support specific economic decisions, such as investing equity, extending credit, or assigning a debt rating[cite: 45]. The analysis is a means to an allocative end.

B is wrong because compliance is the domain of auditors and regulators. Analysts use the output of compliance but do not enforce it[cite: 58].

C is wrong because intrinsic value is an estimate/range derived from analysis, not a singular fact the analysis 'determines' with precision. Furthermore, the role is broader than just valuation (e.g., credit analysis)[cite: 45].

First Principles Thinking: Leverage Amplification

B is correct. Begin with the income statement for the leveraged firm after the revenue increase: Revenue = 240, Operating Expenses = 140 (unchanged), Interest Expense = 160 × 0.20 = 32 (fixed). Net Income = 240 - 140 - 32 = 68. ROE = Net Income / Equity = 68 / 40 = 1.70 or 170%. The causal chain: revenue rises 20% (from 200 to 240), adding 40 to operating income. Since interest is fixed at 32, all 40 flows to equity holders. With only 40 of equity base, a 40 increase in net income (from 28 to 68) represents a 100 percentage point jump in ROE (from 70% to 170%). Leverage magnifies the percentage impact of revenue changes on ROE because equity is a small residual claim. Boundary condition: the all-equity firm would see ROE rise only from 30% to 50% (Net Income 100, Equity 200), demonstrating that leverage amplifies both upside and downside volatility in ROE.

A is wrong because 140% understates the ROE by 30 percentage points, possibly from miscalculating net income as 56 instead of 68, perhaps by doubling interest expense or other arithmetic error.

C is wrong because 50% is the ROE for the all-equity firm under the revenue increase scenario, not the leveraged firm. This confuses the two capital structures and ignores the leverage effect.

First Principles Thinking: present value of a lump sum

A is correct. The CFA Curriculum states that present value is $PV = FV_t(1 + r)^{-t}$. Here, $FV = 121$, $r = 0.10$, and $t = 2$. So $PV = 121/(1.10)^2 = 121/1.21 = USD 100.00$. That is the amount today equivalent to USD 121 in two years.

Why B is wrong: USD 110.00 discounts for only one year instead of two years.

Why C is wrong: USD 99.00 is too low and does not match the exact two-period discounting in the CFA Curriculum formula.

First Principles Thinking: Gain/Loss on Sale Formula

A is correct. The gain or loss on the sale of long-lived assets is computed as the **sale proceeds minus the carrying amount** (or book value) of the asset at the time of sale. First, calculate the carrying amount (CA): USD 120,000 (Cost) -$ USD 60,000 (Accumulated Depreciation) = USD 60,000 (CA). Next, calculate the gain/loss: Gain/Loss = Sale Proceeds $-$ Carrying Amount = USD 75,000 $-$ USD60,000 = **USD15,000 Gain**. Since the proceeds (USD75,000) exceed the CA (USD60,000), a gain is recognized.

B is incorrect: This calculation would result from subtracting the sale proceeds from the carrying amount (USD 60,000 $-$ USD75,000 = -USD15,000 loss). The asset was sold for more than its book value.

C is incorrect: USD60,000 is the accumulated depreciation and also the carrying amount in this specific example. The gain is the difference between proceeds and CA.

First Principles Thinking: governing standard

B is correct. The governing standard requires a fair, accurate, and complete presentation, while the competing principle is the desire to simplify a performance history for readability. The curriculum resolves that conflict by favoring completeness when simplification would alter what the audience is entitled to understand. It specifically identifies including terminated accounts in composite history as part of a fair presentation. By removing those accounts without disclosure, the adviser changes the historical picture presented to prospects. That omission makes the performance record incomplete and therefore most likely violates Standard III(D).

Why top distractor is tempting but wrong (missed nuance). A is tempting because terminated accounts may appear stale, but the standard treats them as part of the performance history rather than irrelevant background.

Why remaining distractor fails (boundary violation). C fails because clarity does not justify deleting material information that may change how readers judge the record.

First Principles Thinking: Shareholder Voting Participation

B is correct. Proxy voting is the most common form of investor participation in general meetings. Shareholders unable to attend meetings in person authorize another party (often a designated voting agent) to vote on their behalf, typically by submitting ballots electronically or by mail. The mechanism: shareholders complete proxy cards specifying how to vote on agenda items; the proxy holder (often company management or a voting agreement) votes the shareholder's shares at the meeting. This mechanism enables widespread participation from dispersed shareholders globally without requiring physical presence. Proxy voting is essential for corporations with millions of dispersed shareholders who cannot attend in person. Edge case: proxy contests involve dissidents competing for proxy authority, trying to persuade shareholders to vote shares for dissident-endorsed candidates.

A is wrong because physical attendance is impractical for dispersed shareholders, especially across geographies. While some institutional investors attend, most shareholders cannot attend, making in-person voting a small fraction of total participation. Physical meetings would exclude most shareholders from voting.

C is wrong because while mail/courier voting exists as an option, electronic proxy submission is the predominant modern method, not physical mail ballots. Moreover, electronic and mail submissions are forms of proxy voting (authorization), not separate from the proxy voting mechanism. The question asks about the mechanism (proxy voting), which encompasses electronic and mail submission methods.

First Principles Thinking: classification rule

A is correct. The qualifying criterion is being a premium that compensates investors for bearing a distinct type of risk. Item I does not qualify because the real risk-free interest rate is not a premium. Item II qualifies because the CFA Curriculum identifies the liquidity premium as compensation for liquidity risk. Item III does not qualify because a discount rate is an interpretation of an interest rate, not one of the listed premiums. Therefore, only one item satisfies the condition.

Why option B is incorrect. Two items do not meet the premium classification, so the count cannot be two.

Why option C is incorrect. All three do not qualify because only the liquidity premium is a risk premium in this list.

First Principles Thinking: liability with carrying amount > tax base → deferred tax asset

D is correct. A is false: rent received in advance that is immediately taxable creates a deferred tax ASSET, not a liability. The CFA Curriculum's Example 2 explicitly shows rent received in advance (carrying amount EUR 10,000,000; tax base EUR 0) giving rise to a deferred tax asset. The company has already paid more tax than it has recognized as expense, so a future tax benefit exists. R is true: the carrying amount of the liability does exceed its tax base (zero, since tax has already been collected), which per Exhibit 1 of the CFA Curriculum — liability carrying amount > tax base — produces a deferred tax asset.

Option A is wrong because A misclassifies the deferred tax item; the mechanism described in R (liability CA > tax base) always yields a DTA under the CFA Curriculum's classification table, not a DTL.

Option C is wrong because R correctly describes the temporary difference; the asset-versus-liability classification rule and the zero tax base for an already-taxed advance are both stated explicitly in the CFA Curriculum.

First Principles Thinking: informal records can still be supporting records

A is correct. Standard V(C) looks to substance. If voice notes contain material support or assumptions underlying a recommendation, deleting them without preserving that support elsewhere can undermine retention obligations.

B is tempting because formal documents feel more official, but the standard is not limited to one format.

C fails because client approval does not replace the member's duty to retain support.

First Principles Thinking: The Fraud Triangle

A is correct. The Fraud Triangle consists of Incentive/Pressure, Opportunity, and Rationalization. 'Opportunity' refers to the ability to commit the act without being caught. A board dominated by insiders lacks independence and oversight, weakening internal controls. This poor governance structure creates the opportunity for management to manipulate reporting unchecked.

B is incorrect: Compensation ties create an Incentive or Motivation, not an opportunity.

C is incorrect: The need for financing creates Pressure (Incentive), not an opportunity.

First Principles Thinking: the duty attaches when responsibilities change

C is correct. Standard I(A) expects members to understand the legal environment of the activities they undertake. Moving into a new area requires proactive effort before acting, not reactive learning after exposure.

A is tempting because broad experience helps, but it does not substitute for understanding the rules specific to the new assignment.

B fails because waiting for a client question is too late; the member must know the rules before acting.

Expense recognition lies at the heart of accrual accounting and determines the timing of when costs reduce net income. Understanding this requires building from fundamental accounting principles. Statement (1) is correct because the matching principle is a cornerstone of accrual accounting that requires expenses to be recognized in the same period as the revenues they help generate. This principle ensures that the income statement reflects the true economic cost of generating revenue during a period, providing a meaningful measure of profitability. For example, if a company sells goods in December but the cost of those goods was incurred in October through manufacturing, the cost of goods sold is recognized in December when the sale occurs, not in October when the costs were incurred. Similarly, sales commissions are recognized as expenses in the period when the sale is recorded, even if the commission is paid to the salesperson in a later period. This matching creates a cause-and-effect relationship between revenues and expenses, allowing users to assess whether revenues exceeded the costs required to generate them. The matching principle applies to product costs (costs directly tied to production like materials, labor, and manufacturing overhead) which are held on the balance sheet as inventory and recognized as cost of goods sold when the product is sold. Statement (2) is correct because period costs, also called period expenses, represent a different category of costs that are not directly tied to the production of goods or services. These include administrative salaries, office rent, advertising, research and development expenses, and other selling, general, and administrative expenses. Unlike product costs which are matched to revenues, period costs are expensed in the period incurred based on the passage of time, regardless of when revenues are recognized. This treatment reflects the principle that these costs benefit the current period rather than creating future economic benefits (assets). For example, January's office rent is expensed in January even if the company's sales from January's activities are collected in March. The CEO's salary for a quarter is expensed in that quarter regardless of when revenues are recognized. This distinction between product costs (matched to revenues through cost of goods sold) and period costs (expensed when incurred) is fundamental to understanding income statement construction and profitability analysis. Statement (3) is incorrect and represents a fundamental misunderstanding of accrual accounting. Under the accrual basis of accounting, expenses are recognized when incurred (when the economic benefit is consumed or the obligation is created), not when cash is paid. This is the defining distinction between accrual and cash basis accounting. For example, if a company receives and uses utilities in December but pays the bill in January, under accrual accounting, the expense is recognized in December when the utilities were consumed, not in January when cash was paid. Similarly, employee wages earned in one period but paid in the next are recognized as expenses in the period the work was performed. Depreciation provides another clear example: it is an expense recognized over an asset's useful life, but no cash is paid when depreciation is recorded (cash was paid when the asset was originally purchased). Accrual accounting recognizes expenses based on economic substance (when obligations arise or benefits are consumed) rather than the timing of cash flows, providing a more accurate picture of economic performance than cash basis accounting. Therefore, statements (1) and (2) are correct. Option B fails because it includes statement (3), which fundamentally contradicts the accrual basis of accounting by tying expense recognition to cash payment timing rather than to when the economic event occurs. Option C fails for the same reason (including incorrect statement 3) and additionally excludes statement (1), which articulates the critical matching principle that governs how product costs and directly related expenses are recognized in alignment with revenues.

First Principles Thinking: Standard Differences in Volatility Management

B is correct. Both IFRS and US GAAP require balance sheet recognition of the net funded status (plan assets minus obligation). The key difference lies in income statement versus OCI treatment. Under IFRS, service cost and net interest go to P&L while all remeasurements go to OCI (never recycled). Under US GAAP, service cost and interest cost go to P&L, but certain components like prior service costs are initially in OCI and amortized to P&L over time. US GAAP also recognizes expected returns on plan assets in P&L (not actual returns), with the difference going to OCI and amortized. Thus, the treatment and amortization of certain remeasurement components differs between the standards.

A is incorrect because both standards use OCI for some components; the difference is which components and whether they are recycled. US GAAP does not put all pension costs in P&L—it uses OCI for certain items with subsequent amortization.

C is incorrect because US GAAP does require balance sheet recognition of the net funded status, just like IFRS. This requirement was introduced by ASC 715 and aligns both standards on balance sheet presentation.

First Principles Thinking: Executory Contract Visibility

A is correct. Signed but non-commenced leases (corporate/retail, 2022-2023 start, 3-20 years) disclose future obligations. Not recognized yet (no ROU/ liability until commencement). Highlights pipeline risk.

B is incorrect: executory not recognized until control transfers.

C is incorrect: no current impact on BS.

First Principles Thinking: Capital Project Classification

B is correct. Understanding the distinction between maintenance and expansion capital is critical for analyzing capital allocation and predicting future growth. From first principles, maintenance capital expenditure (going concern) is investment required to replace depreciating assets and continue current operations at the same scale. Expansion capital is investment to grow the business: new markets, new products, increased capacity, or new customer bases. Memory hook: Maintenance equals keep the SAME; Expansion equals grow BIGGER.

The 100 million network infrastructure investment is maintenance because it replaces aging cable and equipment that deteriorates. Without this annual replacement, the company's network would degrade, service quality would fall, and customers would defect. This capex is necessary to maintain current market share, coverage, and revenue. The 50 million investment in rural market expansion is expansion because it enters new geographic markets not previously served (or underserved). This capex grows the customer base and revenue base; it is discretionary in the sense that management could delay or cancel it without immediate operational disruption, though it forgoes growth opportunities. Analysts often estimate annual maintenance capex as approximately equal to depreciation and amortization on the income statement, because depreciation reflects the wearing out of assets that must be replaced. For a telecom, if annual depreciation is 120 million, maintenance capex should be in that ballpark (100 million is reasonable; expansion capex would be on top of that).

Why this distinction matters: Maintenance capex is relatively predictable and low-risk because it replicates existing operations. Expansion capex is riskier because it ventures into new territory with uncertain demand and execution risk. A company with high maintenance capex but low expansion capex is in a mature, capital-intensive business (utilities, telecom, infrastructure) where growth is limited to market growth. A company with low maintenance capex and high expansion capex is in a growth phase (tech startups, early-stage companies). Comparing maintenance capex as a percentage of revenue across time and peer companies reveals growth strategy and capital intensity. A company spending 50 percent of revenue on maintenance capex is very capital intensive; one spending 5 percent is asset-light. Edge case: Sometimes an investment serves both purposes (maintenance + expansion). For example, upgrading a factory to be more efficient (maintenance) while simultaneously increasing capacity (expansion). These must be split into components for analysis.

A is wrong because not both investments are maintenance. While both sustain and grow the business in broad sense, they serve different purposes. The USD 100 million is necessary to maintain; the 50 million is discretionary growth. Conflating maintenance and expansion obscures the company's capital discipline and growth strategy. If you label expansion as maintenance, you underestimate true maintenance requirements and overstate the sustainable cash flow available for distribution to shareholders. Analysts would misalculate free cash flow and company valuation. A key metric is maintenance capex as a percentage of revenue: if truly one-third of revenue is maintenance (100/300 revenue estimate), the company must reinvest heavily or face deterioration. But if the USD 50 million expansion is mislabeled as maintenance, the apparent maintenance burden overstates true operational requirements.

C is wrong because not both are expansion. The USD 100 million network replacement maintains existing capacity and coverage; it does not grow the company's total assets (since it replaces depreciating assets that were already on the books). An asset replacement is maintenance, not expansion. Expansion requires net growth in assets beyond replacement. The 50 million rural market investment does grow total assets (new cell towers, customer relationships, revenue streams in new regions), so it is expansion. Labeling all capex as expansion conflates categories and misleads analysts into thinking the entire USD 150 million is growth capex. If shareholders or analysts expected 150 million in expansion and only USD 50 million is truly expanding, the realized growth will disappoint projections. Proper classification ensures accurate growth expectations and risk assessment.

First Principles Thinking: self-created activity does not become genuine because it is recorded on an exchange

A is correct. Standard II(B) prohibits creating a false appearance of trading interest or volume. Using controlled accounts to simulate outside demand fits that concern.

B is tempting because the ownership is transparent internally, but the market impression remains false.

C fails because paying commissions does not convert a deceptive scheme into legitimate trading.

First Principles Thinking: Ownership Structure Classifications

B is correct. Corporate ownership structures are classified by control distribution. Dispersed ownership involves many shareholders, none of whom can exercise control over the corporation (e.g., public companies with millions of shares). Concentrated ownership reflects an individual shareholder or group (controlling shareholders—family, another company, government) with sufficient shares/votes to exercise control. The mechanism: in dispersed structures, no single shareholder has enough power to dictate board elections or strategic decisions, requiring coalition-building or proxy contests for change. In concentrated structures, controlling shareholders possess decision-making authority. Example: KLD Marine Ltd. with one large owner versus a public company with dispersed retail shareholders. Edge case: voting structures like dual-class shares can create concentrated control even with minority economic ownership.

A is wrong because it assumes dispersed ownership means equal voting power, which is inaccurate. Shareholders may have equal votes per share, but dispersed ownership is defined by the inability of any one shareholder to control the firm, not by equality of voting rights. Concentrated ownership doesn't require majority voting; controlling shareholders may have 30% with fragmented opposition.

C is wrong because it asserts dispersed ownership eliminates agency costs. In reality, dispersed ownership creates principal-agent conflicts between dispersed shareholders and management because shareholders lack sufficient individual power to monitor effectively. Concentrated ownership may reduce shareholder-management conflicts but creates controlling-minority shareholder conflicts. Both structures face agency costs, just different types.

Statement (1) is incorrect; fiat money serves as a unit of account perfectly well without backing, provided it is stable and accepted. Statement (2) is correct; broad money (e.g., M2 or M3) includes narrow money plus time deposits, savings accounts, etc. Statement (3) is correct; fiat money has no physical constraint, unlike gold-backed money. Therefore, statements (2) and (3) are correct. Option A and C are incorrect due to statement (1).

This tests the standard methodology for common-size cash flow statements.

1. Assertion (A): False. While inventory is related to COGS in ratio analysis (e.g., turnover), in a Common-Size Cash Flow Statement, the standard convention is to express inflows as a % of Total Inflows (or Revenue) and outflows as a % of Total Outflows (or Revenue). Using COGS as a denominator for just one line item would break the 'common-size' structure where columns sum to 100%.
2. Reason (R): True. This accurately describes the purpose and method of common-size analysis for cash flows—scaling flows to the total activity to reveal structure (e.g., '60% of our cash went to buy PP&E').
3. Conclusion: The Assertion proposes a non-standard denominator for common-size analysis, making it false. The Reason correctly defines the standard approach.

First Principles Thinking: Sequential Decision Framework

B is correct. Investment analysis is the second step in the capital allocation process, following idea generation. This step is where the quantitative heavy lifting happens. From first principles, capital allocation has four sequential stages: (1) Idea generation produces candidate projects; (2) Investment analysis evaluates them quantitatively; (3) Planning and prioritization selects the best ones; (4) Monitoring and post-review tracks actual performance. Memory hook: Analysis happens after Ideas and before Action. In investment analysis, managers forecast the amount (how much cash?), timing (when?), duration (how long?), and volatility (how risky?) of an investment's expected cash flows. They then calculate metrics like NPV and IRR to estimate whether the investment is a wise use of capital.

The question is: Will this project generate returns exceeding the cost of capital? The mathematical tools are NPV (calculates present value of future cash flows at the hurdle rate) and IRR (calculates the rate of return if cash flow forecasts prove correct). These metrics allow managers to compare projects on a consistent, economically sound basis. For example, a project might look good on accounting measures (high reported profit margin) but have poor NPV (requires too much upfront capex, generates low cash flows). Investment analysis surfaces this disconnect. This is where analysts apply rigor: stress-testing assumptions, sensitivity analysis (what if growth is 3 percent instead of 5 percent?), and scenario planning. Poor NPV calculations at this stage lead to poor capital allocation decisions downstream, so this step is critical.

A is wrong because idea generation is the first step, where projects are identified and sourced. Idea generation does not involve detailed quantitative analysis; it involves understanding the competitive environment, the firm's capabilities, and potential growth or efficiency opportunities. Ideas might come from within the business, external consultants, competitors' actions, or regulatory changes. The output is a list of potential projects. Analysis comes next to separate the good ideas from bad ones. Without rigorous investment analysis, good ideas get rejected and bad ones get funded, destroying value. Organizations must have both strong idea generation (lots of potential projects) and strong investment analysis (rigorous filtering), but this question asks about which step involves NPV/IRR calculations, which is analysis, not generation.

C is wrong because monitoring and post-review is the fourth step, which occurs after the project has been approved and is underway. Monitoring compares actual performance against projections and identifies need for adjustments (real options like scaling up, abandonment, or pivoting). This step validates assumptions made in investment analysis, revealing systematic errors (were forecasts too optimistic?). Monitoring does not initially calculate NPV/IRR; it compares realized cash flows to forecasted ones. However, monitoring might recalculate NPV if major new information emerges, but that is reactive, not the primary purpose of this step. The primary purpose is discipline: holding management accountable to projections. If a project was projected to generate 10 million annually but delivers only 5 million, monitoring reveals this and triggers action. Good monitoring also produces ideas for future investments by identifying what works and what does not.

First Principles Thinking: a limited product shelf can still be used loyally if the limits are disclosed and the recommendation is client-centered

B is correct. The curriculum recognizes blended environments with limited product sets. Compliance under Standard III(A) requires telling clients at the outset that advice will be restricted and then recommending within that allowable universe based on the client's objectives and risk tolerance rather than on firm or personal motivation.

A is tempting because a broader market search sounds more protective, but the text expressly contemplates limited-product arrangements as long as clients are informed and recommendations remain client-driven within the agreed scope.

C fails because the standard does not categorically ban proprietary-only platforms; it regulates how they must be disclosed and used.

First Principles Thinking: least-squares slope

B is correct. In simple linear regression, the slope equals the sum of cross-deviations divided by the sum of squared deviations of X. Using 153.30 and 122.64 gives $153.30 / 122.64 = 1.25$. That is the estimated change in the dependent variable for a one-unit change in X.

Why A is wrong: 0.8001 is the coefficient of determination, not the slope coefficient.

Why C is wrong: 4.8750 is an intercept value, not the slope.

First Principles Thinking: members can participate responsibly by staying within real competence boundaries

C is correct. Standard I(E) does not require total withdrawal from every unfamiliar area if the member can structure participation honestly and competently with proper support.

A is tempting because growth matters, but growth cannot come through pretending to know more than one does.

B fails because the standard allows members to use appropriate expertise rather than banning all involvement.

First Principles Thinking: unpleasant truth still belongs to the client

B is correct. Standard III(A) requires members to act in the client's best interest, which includes providing accurate information rather than withholding a harmful correction to preserve the relationship. The prospect of losing the client does not change whose interest controls the reporting decision.

A is tempting because business continuity sounds broader and more prudent, but the curriculum rejects using the firm's commercial interest as a reason to hide information from the affected client.

C fails because delaying the correction means releasing information known to be wrong, which is contrary to loyalty and care to the client receiving the report.

First Principles Thinking: bootstrap resample size

B is correct. The CFA Curriculum states that in bootstrap resampling, each resample is of the same size as the original sample. Therefore, if the observed sample has 8 stock-price changes, each bootstrap resample also contains 8 draws. Sampling is with replacement, but the resample size does not change.

Why top distractor is wrong (CFA Curriculum misconception): A incorrectly reduces the size by one, but the CFA Curriculum says the resample matches the original sample size.

Why remaining distractor is wrong: C doubles the sample size even though bootstrap does not enlarge each resample beyond the original sample size by definition.

Common-size financial statements are powerful analytical tools that transform absolute dollar amounts into relative percentages, enabling meaningful comparisons. Let us develop this understanding from foundational concepts. Statement (1) is correct because a vertical common-size income statement expresses each line item as a percentage of a common base, which for income statements is typically total revenue (also called net revenue or sales). The formula for each line item is: (Line Item Amount / Total Revenue) × 100 percent. For example, if a company has 1,000,000 in revenue, 600,000 in cost of goods sold, 200,000 in operating expenses, and 100,000 in interest expense, the common-size income statement would show COGS as 60 percent (600,000/1,000,000), operating expenses as 20 percent, and interest expense as 10 percent. This transformation allows analysts to see the relative magnitude of each expense category and profit level as a proportion of revenue. By standardizing all items to revenue, we can immediately identify what percentage of each sales dollar is consumed by different costs and what percentage flows through to various profit levels (gross profit, operating profit, net profit). This vertical analysis is distinct from horizontal analysis, which examines changes over time. Statement (2) is correct because common-size analysis solves one of the fundamental challenges in financial analysis: how to compare companies of vastly different sizes. Comparing absolute dollar amounts between a company with 100 million in revenue and one with 10 billion in revenue provides little insight, as the larger company will naturally have larger expenses and profits. However, by converting to percentages of revenue, we create a size-neutral comparison. For instance, if Company A has gross profit of 25 million on 100 million revenue (25 percent gross margin) and Company B has gross profit of 2.5 billion on 10 billion revenue (also 25 percent gross margin), common-size analysis reveals they have identical profitability structures despite the 100-fold size difference. Similarly, we can compare companies across different countries or time periods affected by inflation. This standardization makes common-size statements invaluable for cross-sectional analysis (comparing across companies), time-series analysis (comparing one company over time), and industry benchmarking. Statement (3) is incorrect because it represents an oversimplification that ignores important strategic and economic contexts. Gross profit margin (calculated as gross profit divided by revenue, or equivalently, (Revenue - Cost of Goods Sold) / Revenue) measures the percentage of revenue retained after direct production costs. While a declining gross margin can indicate problems such as rising input costs, pricing pressure, or production inefficiencies, it does not always indicate declining performance. Several legitimate scenarios produce declining gross margins in successful companies: (a) strategic pricing decisions where a company deliberately lowers prices to gain market share, accepting lower margins to drive volume growth and long-term competitive positioning; (b) product mix shifts where a company expands into new customer segments or product categories with lower margins but higher growth potential or strategic value; (c) business model evolution where a company transitions toward volume-based strategies (like Amazon's approach) that sacrifice margin for scale, potentially increasing absolute profits and shareholder value despite lower percentages; (d) temporary factors such as investments in new products or markets that increase costs in the short term but generate returns later. Therefore, declining gross margin must be analyzed in context, considering the company's strategy, competitive dynamics, absolute profit trends, and return on investment. An analyst must look beyond a single metric to assess overall performance. Statement (4) is correct because operating margin, one of the key profitability ratios, is defined as operating income (also called operating profit or earnings before interest and taxes) divided by total revenue. The formula is: Operating Margin = (Operating Income / Total Revenue) × 100 percent. Operating income represents what remains from revenue after deducting cost of goods sold and all operating expenses (such as selling, general, and administrative expenses, research and development, and depreciation) but before deducting interest and taxes. Operating margin therefore measures the profitability of core business operations independent of capital structure (financing decisions affecting interest) and tax jurisdiction. For example, if a company has 10 million in revenue and 1.5 million in operating income, its operating margin is 15 percent, meaning that 15 cents of every revenue dollar flows through to operating profit. This metric is particularly valuable for comparing companies with different capital structures or tax situations, as it isolates operational efficiency and business model profitability. Therefore, statements (1), (2), and (4) are correct. Option B fails because it includes statement (3), which incorrectly suggests that a decreasing gross margin always indicates poor performance, ignoring legitimate strategic and contextual factors that can lead to lower margins in well-performing companies. Option C fails because it excludes statement (1), which correctly defines the fundamental construction of vertical common-size income statements that forms the basis for all common-size analysis, while including the incorrect statement (3).