# CFA Level I (Session 1) — Ethical & Professional Standards (GIPS), Quantitative Methods, Economics, FSA & Corporate Issuers

> Comprehensive CFA Level I Session 1 flashcards covering the CFA Institute Code of Ethics and Standards of Professional Conduct (Standards I–VII), Global Investment Performance Standards (GIPS), Time Value of Money, Bayes' Formula, Hypothesis Testing & Regression, Macroeconomics & FX Parity, IFRS vs. US GAAP Financial Statement Analysis (ASC 606, Cash Flows, LIFO/FIFO, DTA/DTL, 5-Way DuPont, Diluted EPS), and Corporate Issuers (WACC, MM Propositions, NPV/IRR, Leverage).

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- **Level:** basic
- **Languages:** en → en
- **Total Cards:** 32

## Flashcards (32 Cards)

| # | Front (Term / Prompt) | Back (Definition / Answer) | Example | Multiple-Choice Options |
| :--- | :--- | :--- | :--- | :--- |
| 1 | Contrast the classification of Interest Paid, Interest Received, Dividends Paid, and Dividends Received on the Statement of Cash Flows under US GAAP versus IFRS. | Under US GAAP, Interest Paid, Interest Received, and Dividends Received MUST be classified as Operating Cash Flow (CFO), and Dividends Paid MUST be Financing Cash Flow (CFF); under IFRS, Interest/Dividends Paid may be classified as either CFO or CFF, and Interest/Dividends Received may be classified as either CFO or Investing Cash Flow (CFI) — US GAAP strictly locks Interest Paid, Interest Received, and Dividends Received into Operating Cash Flows (CFO), and Dividends Paid into Financing Cash Flows (CFF). IFRS provides flexibility: Interest and Dividends Paid can be reported in CFO or CFF, and Interest and Dividends Received can be reported in CFO or CFI (provided classification is applied consistently from period to period). | US GAAP strictly locks Interest Paid, Interest Received, and Dividends Received into Operating Cash Flows (CFO), and Dividends Paid into Financing Cash Flows (CFF). IFRS provides flexibility: Interest and Dividends Paid can be reported in CFO or CFF, and Interest and Dividends Received can be reported in CFO or CFI (provided classification is applied consistently from period to period). | A) Under US GAAP, Interest Paid, Interest Received, and Dividends Received MUST be classified as Operating Cash Flow (CFO), and Dividends Paid MUST be Financing Cash Flow (CFF); under IFRS, Interest/Dividends Paid may be classified as either CFO or CFF, and Interest/Dividends Received may be classified as either CFO or Investing Cash Flow (CFI) — US GAAP strictly locks Interest Paid, Interest Received, and Dividends Received into Operating Cash Flows (CFO), and Dividends Paid into Financing Cash Flows (CFF). IFRS provides flexibility: Interest and Dividends Paid can be reported in CFO or CFF, and Interest and Dividends Received can be reported in CFO or CFI (provided classification is applied consistently from period to period). ✓; B) Under US GAAP, Interest Paid is a Financing Cash Flow (CFF) and Dividends Received is an Investing Cash Flow (CFI); under IFRS, all four items must be classified in CFO; C) Under both US GAAP and IFRS, Dividends Paid is an Operating Cash Flow (CFO) and Interest Paid is a Financing Cash Flow (CFF); D) Under IFRS, Dividends Received must be classified in CFF, whereas under US GAAP it is classified in CFI |
| 2 | Using the national income expenditure identity GDP = C + I + G + (X - M) and disposable income Y = C + S + T, what does the macroeconomic fundamental identity (S - I) = (G - T) + (X - M) imply about a country running a large government fiscal deficit (G > T)? | A government fiscal deficit (G - T > 0) MUST be financed by an excess of domestic private saving over domestic investment (S > I) and/or a current account trade deficit (M > X, i.e., net foreign capital inflows) — Rearranging C + I + G + (X - M) = C + S + T yields (S - I) = (G - T) + (X - M), or (G - T) = (S - I) + (M - X). Thus, if the government runs a fiscal deficit (G > T), it must be funded either by domestic private net saving (S > I) or by borrowing from abroad via a trade/current account deficit (M > X, the 'twin deficits' relationship). | Rearranging C + I + G + (X - M) = C + S + T yields (S - I) = (G - T) + (X - M), or (G - T) = (S - I) + (M - X). Thus, if the government runs a fiscal deficit (G > T), it must be funded either by domestic private net saving (S > I) or by borrowing from abroad via a trade/current account deficit (M > X, the 'twin deficits' relationship). | A) Domestic investment (I) must always exceed domestic private saving (S) whenever the government budget is balanced (G = T) and exports exceed imports; B) A government fiscal deficit (G - T > 0) MUST be financed by an excess of domestic private saving over domestic investment (S > I) and/or a current account trade deficit (M > X, i.e., net foreign capital inflows) — Rearranging C + I + G + (X - M) = C + S + T yields (S - I) = (G - T) + (X - M), or (G - T) = (S - I) + (M - X). Thus, if the government runs a fiscal deficit (G > T), it must be funded either by domestic private net saving (S > I) or by borrowing from abroad via a trade/current account deficit (M > X, the 'twin deficits' relationship). ✓; C) A government fiscal deficit (G > T) automatically forces the country to run a current account trade surplus (X > M); D) Reducing taxes (T) while holding government spending (G) and private saving (S) constant increases net exports (X - M) |
| 3 | In a continuous double-auction order book, which pricing rule governs when a newly arriving aggressive limit order crosses the existing bid-ask spread, and what does the 'Execution Step' vs. 'Validity Step' of trade processing cover? | Under the discriminatory pricing rule used in continuous order books, the trade executes at the standing (passive) limit order's price already resting in the book; Validity rules govern order parameters (tick size, lot size), Execution rules govern matching priority (price-time priority), and Clearing/Settlement happens post-trade — Continuous electronic order markets match orders by strict Price Priority first, then Display Status (displayed orders ahead of hidden/iceberg quantities at the same price), and then Time Priority (FIFO). When an incoming aggressive order crosses the book, the transaction price is determined by the standing passive limit order already resting on the book. | Continuous electronic order markets match orders by strict Price Priority first, then Display Status (displayed orders ahead of hidden/iceberg quantities at the same price), and then Time Priority (FIFO). When an incoming aggressive order crosses the book, the transaction price is determined by the standing passive limit order already resting on the book. | A) Under the discriminatory pricing rule used in continuous order books, the trade executes at the standing (passive) limit order's price already resting in the book; Validity rules govern order parameters (tick size, lot size), Execution rules govern matching priority (price-time priority), and Clearing/Settlement happens post-trade — Continuous electronic order markets match orders by strict Price Priority first, then Display Status (displayed orders ahead of hidden/iceberg quantities at the same price), and then Time Priority (FIFO). When an incoming aggressive order crosses the book, the transaction price is determined by the standing passive limit order already resting on the book. ✓; B) The trade always executes at the midpoint between the standing limit order and the incoming aggressive order; C) Time priority takes precedence over price priority so an older order at a worse price executes first; D) Hidden (iceberg) orders receive higher time priority than displayed limit orders at the same price level |
| 4 | An investor requires a minimum threshold return (R_L) of 3.0% to fund a liability. Portfolio X has an expected return of 11.0% and standard deviation of 16.0%; Portfolio Y has an expected return of 9.0% and standard deviation of 10.0%. If the risk-free rate is 4.0%, which portfolio is superior under Roy's Safety-First Criterion vs. the Sharpe Ratio? | Portfolio Y is superior under BOTH Roy's Safety-First Ratio (SFR_Y = (9% - 3%)/10% = 0.60 vs. SFR_X = (11% - 3%)/16% = 0.50) and the Sharpe Ratio (Sharpe_Y = (9% - 4%)/10% = 0.50 vs. Sharpe_X = (11% - 4%)/16% = 0.4375) — Roy's Safety-First Ratio = (E(R_p) - R_L) / sigma_p: for X, (11 - 3) / 16 = 0.50; for Y, (9 - 3) / 10 = 0.60 (higher SFRatio minimizes P(R_p < R_L)). Sharpe Ratio = (E(R_p) - R_f) / sigma_p: for X, (11 - 4) / 16 = 0.4375; for Y, (9 - 4) / 10 = 0.50. Portfolio Y dominates on both risk-adjusted measures. | Roy's Safety-First Ratio = (E(R_p) - R_L) / sigma_p: for X, (11 - 3) / 16 = 0.50; for Y, (9 - 3) / 10 = 0.60 (higher SFRatio minimizes P(R_p < R_L)). Sharpe Ratio = (E(R_p) - R_f) / sigma_p: for X, (11 - 4) / 16 = 0.4375; for Y, (9 - 4) / 10 = 0.50. Portfolio Y dominates on both risk-adjusted measures. | A) Portfolio X is superior under Roy's Safety-First Ratio (0.6875 vs. 0.60), while Portfolio Y has the higher Sharpe Ratio; B) Portfolio X is superior under both metrics because its expected return of 11.0% is highest; C) Portfolio Y has the higher SFRatio (0.60), while Portfolio X has the higher Sharpe Ratio (0.50); D) Portfolio Y is superior under BOTH Roy's Safety-First Ratio (SFR_Y = (9% - 3%)/10% = 0.60 vs. SFR_X = (11% - 3%)/16% = 0.50) and the Sharpe Ratio (Sharpe_Y = (9% - 4%)/10% = 0.50 vs. Sharpe_X = (11% - 4%)/16% = 0.4375) — Roy's Safety-First Ratio = (E(R_p) - R_L) / sigma_p: for X, (11 - 3) / 16 = 0.50; for Y, (9 - 3) / 10 = 0.60 (higher SFRatio minimizes P(R_p < R_L)). Sharpe Ratio = (E(R_p) - R_f) / sigma_p: for X, (11 - 4) / 16 = 0.4375; for Y, (9 - 4) / 10 = 0.50. Portfolio Y dominates on both risk-adjusted measures. ✓ |
| 5 | In statistical hypothesis testing, define a Type I error (alpha), a Type II error (beta), the Power of a test, and the relationship between alpha and beta when sample size n is held constant. | Type I error (alpha) is rejecting a true null hypothesis H_0; Type II error (beta) is failing to reject a false H_0; Power of a test = 1 - beta (probability of correctly rejecting a false H_0); holding sample size n constant, decreasing alpha (e.g., from 5% to 1%) increases beta and reduces test power — A Type I error (significance level alpha) occurs when a true null hypothesis H_0 is falsely rejected; a Type II error (beta) occurs when a false H_0 is not rejected. The Power of a test (1 - beta) is the probability of correctly rejecting a false H_0. For a fixed sample size n, making the rejection criterion stricter (lowering alpha) increases the risk of failing to reject a false null (increasing beta). Only increasing the sample size n can reduce both alpha and beta simultaneously. | A Type I error (significance level alpha) occurs when a true null hypothesis H_0 is falsely rejected; a Type II error (beta) occurs when a false H_0 is not rejected. The Power of a test (1 - beta) is the probability of correctly rejecting a false H_0. For a fixed sample size n, making the rejection criterion stricter (lowering alpha) increases the risk of failing to reject a false null (increasing beta). Only increasing the sample size n can reduce both alpha and beta simultaneously. | A) Decreasing the significance level alpha from 5% to 1% simultaneously decreases both Type I and Type II errors for a fixed sample size; B) Type I error (alpha) is rejecting a true null hypothesis H_0; Type II error (beta) is failing to reject a false H_0; Power of a test = 1 - beta (probability of correctly rejecting a false H_0); holding sample size n constant, decreasing alpha (e.g., from 5% to 1%) increases beta and reduces test power — A Type I error (significance level alpha) occurs when a true null hypothesis H_0 is falsely rejected; a Type II error (beta) occurs when a false H_0 is not rejected. The Power of a test (1 - beta) is the probability of correctly rejecting a false H_0. For a fixed sample size n, making the rejection criterion stricter (lowering alpha) increases the risk of failing to reject a false null (increasing beta). Only increasing the sample size n can reduce both alpha and beta simultaneously. ✓; C) Type I error (alpha) is accepting a false H_0; Type II error (beta) is rejecting a true H_0; Power = 1 - alpha; increasing sample size n increases both alpha and beta; D) The p-value is the probability that the null hypothesis H_0 is true, and H_0 is rejected whenever p-value > alpha |
| 6 | Under CFA Institute Standard III(A) Loyalty, Prudence, and Care, how must an investment manager treat client brokerage commissions ('soft dollars')? | Client brokerage is an asset of the client and may be used ONLY to purchase goods and services that directly assist the investment manager in the investment decision-making process (research and brokerage) for the benefit of the client — Because brokerage commissions are paid with client assets, Standard III(A) requires that any soft-dollar arrangements purchase exclusively research and brokerage services that directly assist the manager in making investment decisions. Using soft dollars for firm overhead, furniture, or general administrative software violates fiduciary duty unless paid with the firm's own 'hard dollars.' | Because brokerage commissions are paid with client assets, Standard III(A) requires that any soft-dollar arrangements purchase exclusively research and brokerage services that directly assist the manager in making investment decisions. Using soft dollars for firm overhead, furniture, or general administrative software violates fiduciary duty unless paid with the firm's own 'hard dollars.' | A) Soft dollars may be used to pay marketing referral fees to third-party solicitors under Standard VI(C); B) Client brokerage is an asset of the client and may be used ONLY to purchase goods and services that directly assist the investment manager in the investment decision-making process (research and brokerage) for the benefit of the client — Because brokerage commissions are paid with client assets, Standard III(A) requires that any soft-dollar arrangements purchase exclusively research and brokerage services that directly assist the manager in making investment decisions. Using soft dollars for firm overhead, furniture, or general administrative software violates fiduciary duty unless paid with the firm's own 'hard dollars.' ✓; C) Soft dollars may be used to pay for the investment management firm's general office rent, compliance legal fees, and CFA exam review courses; D) Soft dollars belong to the brokerage firm and may be rebated in cash to the portfolio manager's personal account if disclosed annually |
| 7 | When evaluating two mutually exclusive capital projects with different initial scales or cash flow timing patterns, why can Net Present Value (NPV) and Internal Rate of Return (IRR) give conflicting rankings, and which rule must be followed? | NPV and IRR can conflict when the discount rate is below the crossover rate because NPV realistically assumes intermediate cash flows are reinvested at the firm's opportunity cost of capital (WACC), whereas IRR assumes reinvestment at the project's own IRR; always select the project with the highest positive NPV — For mutually exclusive projects of differing scale or cash flow timing (early vs. late cash flows), the NPV profiles cross at the 'crossover rate.' Below the crossover rate, rankings conflict because IRR implicitly assumes reinvestment at the project's high internal rate of return, whereas NPV assumes reinvestment at the opportunity cost of capital (WACC) and directly measures the dollar value added to shareholder wealth. | For mutually exclusive projects of differing scale or cash flow timing (early vs. late cash flows), the NPV profiles cross at the 'crossover rate.' Below the crossover rate, rankings conflict because IRR implicitly assumes reinvestment at the project's high internal rate of return, whereas NPV assumes reinvestment at the opportunity cost of capital (WACC) and directly measures the dollar value added to shareholder wealth. | A) NPV assumes cash flows are reinvested at the risk-free Treasury bill rate, whereas IRR assumes reinvestment at WACC; B) IRR is always superior to NPV for mutually exclusive projects because IRR is scale-independent and measures percentage efficiency; C) Conflicts between NPV and IRR occur only when a project's cash flows change sign more than once, in which case both projects must be rejected; D) NPV and IRR can conflict when the discount rate is below the crossover rate because NPV realistically assumes intermediate cash flows are reinvested at the firm's opportunity cost of capital (WACC), whereas IRR assumes reinvestment at the project's own IRR; always select the project with the highest positive NPV — For mutually exclusive projects of differing scale or cash flow timing (early vs. late cash flows), the NPV profiles cross at the 'crossover rate.' Below the crossover rate, rankings conflict because IRR implicitly assumes reinvestment at the project's high internal rate of return, whereas NPV assumes reinvestment at the opportunity cost of capital (WACC) and directly measures the dollar value added to shareholder wealth. ✓ |
| 8 | An investor buys 1 share of stock at t = 0 for $100. At t = 1, the stock pays a $4 dividend and the investor buys 1 more share for $120. At t = 2, both shares pay a $4 dividend ($8 total) and are sold for $130 each ($260 total). Compare the Time-Weighted Rate of Return (TWRR) and Money-Weighted Rate of Return (MWRR). | Sub-period returns are HPR_1 = 24.00% and HPR_2 = 11.67%; TWRR = [(1.24)(1.1167)]^(1/2) - 1 = 17.67%; MWRR < TWRR because more capital was invested during the lower-returning second year — Year 1 HPR_1 = ($120 + $4 - $100) / $100 = 24.00%. Year 2 HPR_2 = ($260 + $8 - $240) / $240 = $28 / $240 = 11.67%. Geometric TWRR = sqrt(1.24 × 1.11667) - 1 = sqrt(1.38467) - 1 = 17.67%. Because the investor had twice as much capital deployed in Year 2 (11.67%) as in Year 1 (24.00%), the cash-flow-sensitive MWRR (IRR of CF_0 = -100, CF_1 = -116, CF_2 = +268 -> ~16.16%) is lower than TWRR. | Year 1 HPR_1 = ($120 + $4 - $100) / $100 = 24.00%. Year 2 HPR_2 = ($260 + $8 - $240) / $240 = $28 / $240 = 11.67%. Geometric TWRR = sqrt(1.24 × 1.11667) - 1 = sqrt(1.38467) - 1 = 17.67%. Because the investor had twice as much capital deployed in Year 2 (11.67%) as in Year 1 (24.00%), the cash-flow-sensitive MWRR (IRR of CF_0 = -100, CF_1 = -116, CF_2 = +268 -> ~16.16%) is lower than TWRR. | A) Sub-period returns are HPR_1 = 24.00% and HPR_2 = 11.67%; TWRR = [(1.24)(1.1167)]^(1/2) - 1 = 17.67%; MWRR < TWRR because more capital was invested during the lower-returning second year — Year 1 HPR_1 = ($120 + $4 - $100) / $100 = 24.00%. Year 2 HPR_2 = ($260 + $8 - $240) / $240 = $28 / $240 = 11.67%. Geometric TWRR = sqrt(1.24 × 1.11667) - 1 = sqrt(1.38467) - 1 = 17.67%. Because the investor had twice as much capital deployed in Year 2 (11.67%) as in Year 1 (24.00%), the cash-flow-sensitive MWRR (IRR of CF_0 = -100, CF_1 = -116, CF_2 = +268 -> ~16.16%) is lower than TWRR. ✓; B) TWRR = 17.83% (arithmetic mean); MWRR > TWRR because the investor added money after a strong first year; C) TWRR = 38.47%; MWRR = 24.00%; both ignore the $120 cash inflow at t = 1; D) TWRR and MWRR are always identical when dividends are paid annually |
| 9 | A bank quotes a stated annual interest rate of 8.00% compounded quarterly on Account A and 7.90% compounded continuously on Account B. Calculate the Effective Annual Rate (EAR) of both accounts. | Account A EAR = 8.243% ((1 + 0.08/4)^4 - 1); Account B EAR = 8.220% (e^0.079 - 1) — For discrete compounding m = 4 times per year, EAR_A = (1 + r_s / m)^m - 1 = (1 + 0.08/4)^4 - 1 = (1.02)^4 - 1 = 0.082432 (8.243%). For continuous compounding, EAR_B = e^(r_s) - 1 = e^0.079 - 1 = 0.082204 (8.220%). Thus Account A offers a slightly higher effective annual return. | For discrete compounding m = 4 times per year, EAR_A = (1 + r_s / m)^m - 1 = (1 + 0.08/4)^4 - 1 = (1.02)^4 - 1 = 0.082432 (8.243%). For continuous compounding, EAR_B = e^(r_s) - 1 = e^0.079 - 1 = 0.082204 (8.220%). Thus Account A offers a slightly higher effective annual return. | A) Account A EAR = 8.243%; Account B EAR = 8.450%; B) Account A EAR = 8.243% ((1 + 0.08/4)^4 - 1); Account B EAR = 8.220% (e^0.079 - 1) — For discrete compounding m = 4 times per year, EAR_A = (1 + r_s / m)^m - 1 = (1 + 0.08/4)^4 - 1 = (1.02)^4 - 1 = 0.082432 (8.243%). For continuous compounding, EAR_B = e^(r_s) - 1 = e^0.079 - 1 = 0.082204 (8.220%). Thus Account A offers a slightly higher effective annual return. ✓; C) Account A EAR = 8.000%; Account B EAR = 8.329%; D) Account A EAR = 8.160%; Account B EAR = 7.900% |
| 10 | How does CFA Institute Standard II(A) Material Nonpublic Information (MNPI) define 'material' information, and why does the Mosaic Theory permit reaching an investment conclusion using nonpublic information? | Information is material if its disclosure would likely have a substantial impact on the price of a security or if a reasonable investor would want to know it before trading; under the Mosaic Theory, analysts may combine public material information with NONMATERIAL nonpublic information without violating Standard II(A) — Under Standard II(A), Members who possess Material Nonpublic Information must not act or cause others to act on it (including not liquidating existing holdings). However, under the Mosaic Theory, piecing together public information with nonmaterial nonpublic insights (such as observing store foot traffic or speaking with suppliers about general industry details) represents diligent research rather than insider trading. | Under Standard II(A), Members who possess Material Nonpublic Information must not act or cause others to act on it (including not liquidating existing holdings). However, under the Mosaic Theory, piecing together public information with nonmaterial nonpublic insights (such as observing store foot traffic or speaking with suppliers about general industry details) represents diligent research rather than insider trading. | A) Standard II(A) prohibits using any nonpublic information regardless of materiality, unless the analyst waits 24 hours before trading for discretionary accounts; B) Information is material only if issued directly by the CEO or CFO in an earnings release; the Mosaic Theory permits trading on material nonpublic information if confirmed by two independent industry sources; C) When an analyst receives MNPI, Standard II(A) requires the analyst to immediately liquidate all client holdings in that issuer; D) Information is material if its disclosure would likely have a substantial impact on the price of a security or if a reasonable investor would want to know it before trading; under the Mosaic Theory, analysts may combine public material information with NONMATERIAL nonpublic information without violating Standard II(A) — Under Standard II(A), Members who possess Material Nonpublic Information must not act or cause others to act on it (including not liquidating existing holdings). However, under the Mosaic Theory, piecing together public information with nonmaterial nonpublic insights (such as observing store foot traffic or speaking with suppliers about general industry details) represents diligent research rather than insider trading. ✓ |
| 11 | A corporation has a net Deferred Tax Liability (DTL > DTA) on its balance sheet resulting from accelerated tax depreciation over straight-line book depreciation. If Congress enacts a statutory corporate income tax rate REDUCTION from 25% to 20%, what is the immediate impact on the balance sheet and current-period Income Tax Expense? | The net DTL is remeasured downward by 20%, which decreases current-period Income Tax Expense and increases current-period Net Income and Stockholders' Equity — Because Income Tax Expense = Taxes Payable + Change in DTL - Change in DTA, a statutory tax rate cut from 25% to 20% reduces the future tax liability represented by the existing net DTL (Delta DTL < 0). This downward remeasurement flows directly through continuing operations, reducing current-period Income Tax Expense and boosting Net Income. | Because Income Tax Expense = Taxes Payable + Change in DTL - Change in DTA, a statutory tax rate cut from 25% to 20% reduces the future tax liability represented by the existing net DTL (Delta DTL < 0). This downward remeasurement flows directly through continuing operations, reducing current-period Income Tax Expense and boosting Net Income. | A) The net DTL increases, which increases current-period Income Tax Expense and reduces Net Income; B) Existing DTLs remain locked at the historical 25% rate at which they originated; only future timing differences use 20%; C) The adjustment is recorded directly to Other Comprehensive Income (OCI) with zero impact on Income Tax Expense or Net Income; D) The net DTL is remeasured downward by 20%, which decreases current-period Income Tax Expense and increases current-period Net Income and Stockholders' Equity — Because Income Tax Expense = Taxes Payable + Change in DTL - Change in DTA, a statutory tax rate cut from 25% to 20% reduces the future tax liability represented by the existing net DTL (Delta DTL < 0). This downward remeasurement flows directly through continuing operations, reducing current-period Income Tax Expense and boosting Net Income. ✓ |
| 12 | Under CFA Institute Standard III(B) Fair Dealing and Standard VI(B) Priority of Transactions, what is the required sequence of trade execution and how must a firm handle different service tiers and family accounts? | Client and employer transactions must ALWAYS take priority over accounts in which a Member is a beneficial owner (including fee-paying family accounts where the Member has a pecuniary interest); differentiated service tiers are permitted if disclosed and premium clients are not given advance access to material changes in recommendations before dissemination to all clients — Standard III(B) requires fair (not necessarily equal) dealing: all clients must have a fair opportunity to act on material recommendation changes before tiered premium service begins. Standard VI(B) mandates that client and employer transactions take priority over any personal or beneficial-ownership account. Regular fee-paying family accounts in which the Member has NO beneficial interest/pecuniary stake must be treated like any other client account (neither favored nor disadvantaged). | Standard III(B) requires fair (not necessarily equal) dealing: all clients must have a fair opportunity to act on material recommendation changes before tiered premium service begins. Standard VI(B) mandates that client and employer transactions take priority over any personal or beneficial-ownership account. Regular fee-paying family accounts in which the Member has NO beneficial interest/pecuniary stake must be treated like any other client account (neither favored nor disadvantaged). | A) A fee-paying account belonging to the portfolio manager's spouse may trade alongside institutional clients if the spouse pays standard retail commissions; B) Client and employer transactions must ALWAYS take priority over accounts in which a Member is a beneficial owner (including fee-paying family accounts where the Member has a pecuniary interest); differentiated service tiers are permitted if disclosed and premium clients are not given advance access to material changes in recommendations before dissemination to all clients — Standard III(B) requires fair (not necessarily equal) dealing: all clients must have a fair opportunity to act on material recommendation changes before tiered premium service begins. Standard VI(B) mandates that client and employer transactions take priority over any personal or beneficial-ownership account. Regular fee-paying family accounts in which the Member has NO beneficial interest/pecuniary stake must be treated like any other client account (neither favored nor disadvantaged). ✓; C) Standard III(B) requires identical ('equal') research delivery and simultaneous execution across all clients without exception, prohibiting tiered VIP service levels; D) Employer proprietary accounts must trade ahead of retail client accounts so the firm can hedge market-making risk |
| 13 | A firm sells 50,000 units at $40 per unit, has variable costs of $24 per unit, fixed operating costs of $500,000, and annual interest expense of $100,000. Calculate the firm's Degree of Operating Leverage (DOL), Degree of Financial Leverage (DFL), and Degree of Total Leverage (DTL). | Contribution Margin = $800,000; EBIT = $300,000; DOL = 2.67 ($800,000 / $300,000); DFL = 1.50 ($300,000 / $200,000); DTL = 4.00 (2.67 × 1.50) — Total Contribution Margin = Q(P - V) = 50,000 × ($40 - $24) = $800,000. EBIT = $800,000 - $500,000 = $300,000. EBT = EBIT - Interest = $300,000 - $100,000 = $200,000. Therefore: DOL = Contribution Margin / EBIT = $800,000 / $300,000 = 2.667; DFL = EBIT / EBT = $300,000 / $200,000 = 1.50; and DTL = DOL × DFL = Contribution Margin / EBT = $800,000 / $200,000 = 4.00 (a 10% rise in unit sales increases EPS by 40%). | Total Contribution Margin = Q(P - V) = 50,000 × ($40 - $24) = $800,000. EBIT = $800,000 - $500,000 = $300,000. EBT = EBIT - Interest = $300,000 - $100,000 = $200,000. Therefore: DOL = Contribution Margin / EBIT = $800,000 / $300,000 = 2.667; DFL = EBIT / EBT = $300,000 / $200,000 = 1.50; and DTL = DOL × DFL = Contribution Margin / EBT = $800,000 / $200,000 = 4.00 (a 10% rise in unit sales increases EPS by 40%). | A) Contribution Margin = $800,000; EBIT = $300,000; DOL = 1.60; DFL = 3.00; DTL = 4.80; B) Contribution Margin = $800,000; EBIT = $300,000; DOL = 2.67 ($800,000 / $300,000); DFL = 1.50 ($300,000 / $200,000); DTL = 4.00 (2.67 × 1.50) — Total Contribution Margin = Q(P - V) = 50,000 × ($40 - $24) = $800,000. EBIT = $800,000 - $500,000 = $300,000. EBT = EBIT - Interest = $300,000 - $100,000 = $200,000. Therefore: DOL = Contribution Margin / EBIT = $800,000 / $300,000 = 2.667; DFL = EBIT / EBT = $300,000 / $200,000 = 1.50; and DTL = DOL × DFL = Contribution Margin / EBT = $800,000 / $200,000 = 4.00 (a 10% rise in unit sales increases EPS by 40%). ✓; C) DOL = 2.50; DFL = 1.33; DTL = 3.33; D) DOL = 4.00; DFL = 1.50; DTL = 5.50 |
| 14 | How is a central bank's Neutral Policy Rate calculated, and what is the impact on nominal interest rates and private vs. public sector output share when a government combines Expansionary Fiscal Policy with Contractionary Monetary Policy? | Neutral Rate = Real Trend GDP Growth Rate + Target Inflation Rate; combining expansionary fiscal policy with contractionary monetary policy drives interest rates unambiguously HIGHER, expands the public sector's share of GDP, and crowds out interest-sensitive private investment — The Neutral Policy Rate equals the economy's long-run real trend growth rate plus the central bank's target inflation rate (a policy rate above neutral is contractionary). When fiscal policy is expansionary (shifting IS right) and monetary policy is contractionary (shifting LM left), both shifts push real and nominal interest rates higher, increasing government spending's share of GDP while crowding out private-sector investment. | The Neutral Policy Rate equals the economy's long-run real trend growth rate plus the central bank's target inflation rate (a policy rate above neutral is contractionary). When fiscal policy is expansionary (shifting IS right) and monetary policy is contractionary (shifting LM left), both shifts push real and nominal interest rates higher, increasing government spending's share of GDP while crowding out private-sector investment. | A) Neutral Rate = Real Trend GDP Growth Rate + Target Inflation Rate; combining expansionary fiscal policy with contractionary monetary policy drives interest rates unambiguously HIGHER, expands the public sector's share of GDP, and crowds out interest-sensitive private investment — The Neutral Policy Rate equals the economy's long-run real trend growth rate plus the central bank's target inflation rate (a policy rate above neutral is contractionary). When fiscal policy is expansionary (shifting IS right) and monetary policy is contractionary (shifting LM left), both shifts push real and nominal interest rates higher, increasing government spending's share of GDP while crowding out private-sector investment. ✓; B) Monetary policy is considered contractionary whenever the central bank sets the nominal policy rate below the neutral rate; C) Neutral Rate = Nominal GDP Growth Rate - Unemployment Rate; expansionary fiscal + contractionary monetary policy lowers interest rates and expands private investment; D) Neutral Rate = Real Policy Rate - Expected Inflation; tight monetary + loose fiscal policy leaves both interest rates and public/private shares unchanged |
| 15 | Compare the four microeconomic market structures (Perfect Competition, Monopolistic Competition, Oligopoly, and Monopoly) with respect to marginal revenue, profit-maximizing output, and long-run economic profit. | All four structures maximize profit where MR = MC; in Perfect Competition P = MR = MC and long-run economic profit is zero at minimum ATC; in Monopolistic Competition P > MR = MC with zero long-run economic profit but excess capacity (output below minimum ATC); in Oligopoly and Monopoly barriers to entry allow positive long-run economic profit with P > MC — Every firm maximizes profit at the output where Marginal Revenue equals Marginal Cost (MR = MC). Only a price-taker in Perfect Competition faces a horizontal demand curve (P = MR = AR), producing at minimum Average Total Cost in the long run with zero economic profit. Downward-sloping demand curves in Monopolistic Competition, Oligopoly, and Monopoly mean P > MR = MC (creating deadweight loss unless perfect 1st-degree price discrimination is practiced). | Every firm maximizes profit at the output where Marginal Revenue equals Marginal Cost (MR = MC). Only a price-taker in Perfect Competition faces a horizontal demand curve (P = MR = AR), producing at minimum Average Total Cost in the long run with zero economic profit. Downward-sloping demand curves in Monopolistic Competition, Oligopoly, and Monopoly mean P > MR = MC (creating deadweight loss unless perfect 1st-degree price discrimination is practiced). | A) Perfect Competition maximizes profit where P = ATC, whereas Monopoly maximizes revenue where MR = 0 regardless of marginal cost; B) Monopolistic Competition earns positive long-run economic profits because product differentiation creates insurmountable barriers to entry; C) All four structures maximize profit where MR = MC; in Perfect Competition P = MR = MC and long-run economic profit is zero at minimum ATC; in Monopolistic Competition P > MR = MC with zero long-run economic profit but excess capacity (output below minimum ATC); in Oligopoly and Monopoly barriers to entry allow positive long-run economic profit with P > MC — Every firm maximizes profit at the output where Marginal Revenue equals Marginal Cost (MR = MC). Only a price-taker in Perfect Competition faces a horizontal demand curve (P = MR = AR), producing at minimum Average Total Cost in the long run with zero economic profit. Downward-sloping demand curves in Monopolistic Competition, Oligopoly, and Monopoly mean P > MR = MC (creating deadweight loss unless perfect 1st-degree price discrimination is practiced). ✓; D) In Perfect Competition, the firm faces a downward-sloping demand curve where MR < P in the short run |
| 16 | An unlevered firm has a cost of capital r_0 = 10.0%. It alters its capital structure to a Debt-to-Equity ratio (D/E) of 0.50 by issuing debt at a pre-tax cost r_d = 6.0%. If the corporate tax rate is t = 25% and there are no financial distress costs, what are the firm's Levered Cost of Equity (r_e) and Weighted Average Cost of Capital (WACC) under Modigliani-Miller Propositions I and II with taxes? | Levered Cost of Equity r_e = 11.50% (10% + (10% - 6%)(1 - 0.25)(0.50)); WACC = 9.17% ((2/3)(11.50%) + (1/3)(6%)(0.75)) — Under MM Proposition II with taxes: r_e = r_0 + (r_0 - r_d)(1 - t)(D/E) = 10% + (10% - 6%)(0.75)(0.50) = 10% + 1.50% = 11.50%. Since D/E = 0.50 = 1/2, weights are w_d = 1/3 and w_e = 2/3. Therefore, WACC = (2/3)(11.50%) + (1/3)(6.0%)(1 - 0.25) = 7.667% + 1.500% = 9.167% (9.17%), which is lower than r_0 = 10% because of the interest tax shield (V_L = V_U + tD). | Under MM Proposition II with taxes: r_e = r_0 + (r_0 - r_d)(1 - t)(D/E) = 10% + (10% - 6%)(0.75)(0.50) = 10% + 1.50% = 11.50%. Since D/E = 0.50 = 1/2, weights are w_d = 1/3 and w_e = 2/3. Therefore, WACC = (2/3)(11.50%) + (1/3)(6.0%)(1 - 0.25) = 7.667% + 1.500% = 9.167% (9.17%), which is lower than r_0 = 10% because of the interest tax shield (V_L = V_U + tD). | A) Levered Cost of Equity r_e = 12.00%; WACC = 10.00% (unchanged from r_0); B) Levered Cost of Equity r_e = 11.50% (10% + (10% - 6%)(1 - 0.25)(0.50)); WACC = 9.17% ((2/3)(11.50%) + (1/3)(6%)(0.75)) — Under MM Proposition II with taxes: r_e = r_0 + (r_0 - r_d)(1 - t)(D/E) = 10% + (10% - 6%)(0.75)(0.50) = 10% + 1.50% = 11.50%. Since D/E = 0.50 = 1/2, weights are w_d = 1/3 and w_e = 2/3. Therefore, WACC = (2/3)(11.50%) + (1/3)(6.0%)(1 - 0.25) = 7.667% + 1.500% = 9.167% (9.17%), which is lower than r_0 = 10% because of the interest tax shield (V_L = V_U + tD). ✓; C) Levered Cost of Equity r_e = 11.50%; WACC = 9.67% (ignoring tax shield on debt); D) Levered Cost of Equity r_e = 10.00%; WACC = 8.50% |
| 17 | A company reported Net Income of $10,800,000, paid $800,000 in Preferred Dividends, and had 2,000,000 weighted-average common shares outstanding throughout the year. It also had 200,000 employee stock options outstanding all year with an exercise price of $30.00, while the average market price of its common stock was $50.00. Using the Treasury Stock Method, calculate Basic EPS and Diluted EPS. | Basic EPS = $5.00; Incremental shares from options = 80,000; Diluted EPS = $4.81 ($10,000,000 / 2,080,000 shares) — Basic EPS = (Net Income - Preferred Dividends) / Weighted Average Shares = ($10,800,000 - $800,000) / 2,000,000 = $5.00. Because Average Market Price ($50) > Exercise Price ($30), the options are dilutive. Under the Treasury Stock Method, proceeds from exercise = 200,000 × $30 = $6,000,000, which repurchases $6,000,000 / $50 = 120,000 shares at the average market price, leaving 200,000 - 120,000 = 80,000 net incremental shares. Diluted EPS = $10,000,000 / (2,000,000 + 80,000) = $4.8077 ($4.81). | Basic EPS = (Net Income - Preferred Dividends) / Weighted Average Shares = ($10,800,000 - $800,000) / 2,000,000 = $5.00. Because Average Market Price ($50) > Exercise Price ($30), the options are dilutive. Under the Treasury Stock Method, proceeds from exercise = 200,000 × $30 = $6,000,000, which repurchases $6,000,000 / $50 = 120,000 shares at the average market price, leaving 200,000 - 120,000 = 80,000 net incremental shares. Diluted EPS = $10,000,000 / (2,000,000 + 80,000) = $4.8077 ($4.81). | A) Basic EPS = $5.00; options are antidilutive so Diluted EPS = $5.00; B) Basic EPS = $5.00; Incremental shares from options = 80,000; Diluted EPS = $4.81 ($10,000,000 / 2,080,000 shares) — Basic EPS = (Net Income - Preferred Dividends) / Weighted Average Shares = ($10,800,000 - $800,000) / 2,000,000 = $5.00. Because Average Market Price ($50) > Exercise Price ($30), the options are dilutive. Under the Treasury Stock Method, proceeds from exercise = 200,000 × $30 = $6,000,000, which repurchases $6,000,000 / $50 = 120,000 shares at the average market price, leaving 200,000 - 120,000 = 80,000 net incremental shares. Diluted EPS = $10,000,000 / (2,000,000 + 80,000) = $4.8077 ($4.81). ✓; C) Basic EPS = $5.40; Incremental shares from options = 200,000; Diluted EPS = $4.91 ($10,800,000 / 2,200,000 shares); D) Basic EPS = $5.00; Incremental shares from options = 120,000; Diluted EPS = $4.72 ($10,000,000 / 2,120,000 shares) |
| 18 | A firm reports the following financial ratios: Tax Burden (NI / EBT) = 0.75, Interest Burden (EBT / EBIT) = 0.80, EBIT Margin (EBIT / Revenue) = 15.0%, Total Asset Turnover (Revenue / Average Assets) = 1.20, and Financial Leverage (Average Assets / Average Equity) = 2.00. Using the 5-Way DuPont Decomposition, calculate the firm's Net Profit Margin, Return on Assets (ROA), and Return on Equity (ROE). | Net Profit Margin = 9.00% (0.75 × 0.80 × 15%); ROA = 10.80% (9.00% × 1.20); ROE = 21.60% (10.80% × 2.00) — In the 5-Way DuPont model: Net Profit Margin = Tax Burden × Interest Burden × EBIT Margin = 0.75 × 0.80 × 0.15 = 0.09 (9.00%). ROA = Net Profit Margin × Asset Turnover = 9.00% × 1.20 = 10.80%. ROE = ROA × Financial Leverage = 10.80% × 2.00 = 21.60%. | In the 5-Way DuPont model: Net Profit Margin = Tax Burden × Interest Burden × EBIT Margin = 0.75 × 0.80 × 0.15 = 0.09 (9.00%). ROA = Net Profit Margin × Asset Turnover = 9.00% × 1.20 = 10.80%. ROE = ROA × Financial Leverage = 10.80% × 2.00 = 21.60%. | A) Net Profit Margin = 11.25%; ROA = 13.50%; ROE = 27.00%; B) Net Profit Margin = 15.00%; ROA = 18.00%; ROE = 36.00%; C) Net Profit Margin = 9.00%; ROA = 7.50%; ROE = 15.00%; D) Net Profit Margin = 9.00% (0.75 × 0.80 × 15%); ROA = 10.80% (9.00% × 1.20); ROE = 21.60% (10.80% × 2.00) — In the 5-Way DuPont model: Net Profit Margin = Tax Burden × Interest Burden × EBIT Margin = 0.75 × 0.80 × 0.15 = 0.09 (9.00%). ROA = Net Profit Margin × Asset Turnover = 9.00% × 1.20 = 10.80%. ROE = ROA × Financial Leverage = 10.80% × 2.00 = 21.60%. ✓ |
| 19 | Under the Global Investment Performance Standards (GIPS), which portfolios MUST be included in composites, who may claim GIPS compliance, and what is the status of third-party verification? | Only an investment management firm (firm-wide, never on a single product) may claim GIPS compliance; ALL actual, fee-paying, discretionary portfolios MUST be included in at least one composite defined by investment mandate/strategy (non-discretionary portfolios MUST NOT be included); third-party verification is voluntary and conducted firm-wide — GIPS compliance is strictly firm-wide. To prevent cherry-picking, every actual, fee-paying, discretionary portfolio (including terminated portfolios up through their last full measurement period) must be assigned to at least one composite. Non-discretionary portfolios and simulated/model accounts must never be included in composites. Verification by an independent third party is voluntary (though recommended) and applies to the entire firm, not specific composites. | GIPS compliance is strictly firm-wide. To prevent cherry-picking, every actual, fee-paying, discretionary portfolio (including terminated portfolios up through their last full measurement period) must be assigned to at least one composite. Non-discretionary portfolios and simulated/model accounts must never be included in composites. Verification by an independent third party is voluntary (though recommended) and applies to the entire firm, not specific composites. | A) Simulated model portfolios and non-discretionary client portfolios must be combined into a balanced composite to show total assets under advisement; B) Individual portfolio managers may claim GIPS compliance on their flagship composite if verified annually by CFA Institute; C) Only actual portfolios exceeding $1 million that have outperformed their benchmark for 3 years must be included in GIPS composites; D) Only an investment management firm (firm-wide, never on a single product) may claim GIPS compliance; ALL actual, fee-paying, discretionary portfolios MUST be included in at least one composite defined by investment mandate/strategy (non-discretionary portfolios MUST NOT be included); third-party verification is voluntary and conducted firm-wide — GIPS compliance is strictly firm-wide. To prevent cherry-picking, every actual, fee-paying, discretionary portfolio (including terminated portfolios up through their last full measurement period) must be assigned to at least one composite. Non-discretionary portfolios and simulated/model accounts must never be included in composites. Verification by an independent third party is voluntary (though recommended) and applies to the entire firm, not specific composites. ✓ |
| 20 | A company reports Net Income of $210 million, Depreciation & Amortization of $40 million, Interest Expense of $30 million, a corporate tax rate of 25%, Fixed Capital Investment (CapEx) of $90 million, Working Capital Investment of $15 million, and Net New Debt Issued of $20 million. Calculate Free Cash Flow to the Firm (FCFF) and Free Cash Flow to Equity (FCFE). | CFO = $235.0 million; FCFF = $167.5 million; FCFE = $165.0 million — First, CFO = Net Income ($210) + Non-Cash Charges ($40) - Working Capital Investment ($15) = $235.0 million. Next, FCFF = CFO + Interest(1 - t) - FCInv = $235.0 + $30(1 - 0.25) - $90.0 = $235.0 + $22.5 - $90.0 = $167.5 million. Finally, FCFE = CFO - FCInv + Net Borrowing = $235.0 - $90.0 + $20.0 = $165.0 million (or FCFF - Int(1 - t) + Net Borrowing = $167.5 - $22.5 + $20.0 = $165.0 million). | First, CFO = Net Income ($210) + Non-Cash Charges ($40) - Working Capital Investment ($15) = $235.0 million. Next, FCFF = CFO + Interest(1 - t) - FCInv = $235.0 + $30(1 - 0.25) - $90.0 = $235.0 + $22.5 - $90.0 = $167.5 million. Finally, FCFE = CFO - FCInv + Net Borrowing = $235.0 - $90.0 + $20.0 = $165.0 million (or FCFF - Int(1 - t) + Net Borrowing = $167.5 - $22.5 + $20.0 = $165.0 million). | A) CFO = $235.0 million; FCFF = $145.0 million; FCFE = $187.5 million; B) CFO = $250.0 million; FCFF = $175.0 million; FCFE = $180.0 million; C) CFO = $265.0 million; FCFF = $167.5 million; FCFE = $125.0 million; D) CFO = $235.0 million; FCFF = $167.5 million; FCFE = $165.0 million — First, CFO = Net Income ($210) + Non-Cash Charges ($40) - Working Capital Investment ($15) = $235.0 million. Next, FCFF = CFO + Interest(1 - t) - FCInv = $235.0 + $30(1 - 0.25) - $90.0 = $235.0 + $22.5 - $90.0 = $167.5 million. Finally, FCFE = CFO - FCInv + Net Borrowing = $235.0 - $90.0 + $20.0 = $165.0 million (or FCFF - Int(1 - t) + Net Borrowing = $167.5 - $22.5 + $20.0 = $165.0 million). ✓ |
| 21 | In a simple linear regression of stock excess returns (Y) on market excess returns (X) across n = 62 monthly observations, Total Sum of Squares (TSS) = 400 and Sum of Squared Errors (SSE) = 160. What are the Regression Sum of Squares (RSS), Coefficient of Determination (R^2), Standard Error of the Estimate (SEE), and F-statistic? | RSS = 240; R^2 = 0.60 (60%); SEE = 1.633 (sqrt(160 / 60)); F-statistic = 90.0 ((240 / 1) / (160 / 60)) — In simple linear regression (k = 1 slope parameter, df_regression = 1, df_error = n - k - 1 = 62 - 2 = 60): RSS = TSS - SSE = 400 - 160 = 240; R^2 = RSS / TSS = 240 / 400 = 0.60 (60%); MSE = SSE / (n - 2) = 160 / 60 = 2.6667, so SEE = sqrt(2.6667) = 1.633; and F = MSR / MSE = (240 / 1) / (160 / 60) = 240 / 2.6667 = 90.0. | In simple linear regression (k = 1 slope parameter, df_regression = 1, df_error = n - k - 1 = 62 - 2 = 60): RSS = TSS - SSE = 400 - 160 = 240; R^2 = RSS / TSS = 240 / 400 = 0.60 (60%); MSE = SSE / (n - 2) = 160 / 60 = 2.6667, so SEE = sqrt(2.6667) = 1.633; and F = MSR / MSE = (240 / 1) / (160 / 60) = 240 / 2.6667 = 90.0. | A) RSS = 240; R^2 = 0.40 (40%); SEE = 2.667; F-statistic = 40.0; B) RSS = 240; R^2 = 0.60 (60%); SEE = 1.633 (sqrt(160 / 60)); F-statistic = 90.0 ((240 / 1) / (160 / 60)) — In simple linear regression (k = 1 slope parameter, df_regression = 1, df_error = n - k - 1 = 62 - 2 = 60): RSS = TSS - SSE = 400 - 160 = 240; R^2 = RSS / TSS = 240 / 400 = 0.60 (60%); MSE = SSE / (n - 2) = 160 / 60 = 2.6667, so SEE = sqrt(2.6667) = 1.633; and F = MSR / MSE = (240 / 1) / (160 / 60) = 240 / 2.6667 = 90.0. ✓; C) RSS = 560; R^2 = 0.60 (60%); SEE = 1.606 (sqrt(160 / 62)); F-statistic = 93.0; D) RSS = 240; R^2 = 0.775; SEE = 2.581; F-statistic = 60.0 |
| 22 | A supplier offers trade credit terms of '2/10, net 40' (a 2% discount if paid within 10 days, otherwise the full invoice is due in 40 days). What is the Effective Annual Rate (EAR) cost of forgoing the discount and paying on Day 40? | 27.86% (calculated as (1 + 0.02 / 0.98)^(365 / (40 - 10)) - 1 = (1.020408)^(365/30) - 1) — By giving up the 2% discount on Day 10 to borrow 98% of the invoice for an extra 40 - 10 = 30 days, the periodic 30-day rate is 0.02 / 0.98 = 2.0408%. Compounded over 365 / 30 = 12.1667 periods per year, EAR = (1 + 0.02/0.98)^(365/30) - 1 = 0.2786 (27.86%). | By giving up the 2% discount on Day 10 to borrow 98% of the invoice for an extra 40 - 10 = 30 days, the periodic 30-day rate is 0.02 / 0.98 = 2.0408%. Compounded over 365 / 30 = 12.1667 periods per year, EAR = (1 + 0.02/0.98)^(365/30) - 1 = 0.2786 (27.86%). | A) 44.59% (calculated as (1 + 0.02 / 0.98)^(365 / 20) - 1); B) 24.33% (calculated as (0.02) × (365 / 30)); C) 20.24% (calculated as (1 + 0.02 / 0.98)^(365 / 40) - 1); D) 27.86% (calculated as (1 + 0.02 / 0.98)^(365 / (40 - 10)) - 1 = (1.020408)^(365/30) - 1) — By giving up the 2% discount on Day 10 to borrow 98% of the invoice for an extra 40 - 10 = 30 days, the periodic 30-day rate is 0.02 / 0.98 = 2.0408%. Compounded over 365 / 30 = 12.1667 periods per year, EAR = (1 + 0.02/0.98)^(365/30) - 1 = 0.2786 (27.86%). ✓ |
| 23 | Contrast the Static Trade-Off Theory of capital structure with Myers and Majluf's Pecking Order Theory. | Static Trade-Off Theory balances the tax shield benefit of debt (t × D) against the present value of financial distress costs to identify an optimal target D/E ratio where WACC is minimized; Pecking Order Theory (driven by asymmetric information) states that managers have no fixed target D/E and prefer financing in order of (1) internal retained earnings, (2) debt, and (3) external equity as a last resort — Under Static Trade-Off Theory, V_L = V_U + (t × D) - PV(Costs of Financial Distress), producing a U-shaped WACC curve with a well-defined optimal target leverage ratio. Under Pecking Order Theory, because outside investors interpret a new equity issue as a negative signal that stock is overvalued, managers prefer internal funds first, debt second, and external equity last. | Under Static Trade-Off Theory, V_L = V_U + (t × D) - PV(Costs of Financial Distress), producing a U-shaped WACC curve with a well-defined optimal target leverage ratio. Under Pecking Order Theory, because outside investors interpret a new equity issue as a negative signal that stock is overvalued, managers prefer internal funds first, debt second, and external equity last. | A) Static Trade-Off Theory balances the tax shield benefit of debt (t × D) against the present value of financial distress costs to identify an optimal target D/E ratio where WACC is minimized; Pecking Order Theory (driven by asymmetric information) states that managers have no fixed target D/E and prefer financing in order of (1) internal retained earnings, (2) debt, and (3) external equity as a last resort — Under Static Trade-Off Theory, V_L = V_U + (t × D) - PV(Costs of Financial Distress), producing a U-shaped WACC curve with a well-defined optimal target leverage ratio. Under Pecking Order Theory, because outside investors interpret a new equity issue as a negative signal that stock is overvalued, managers prefer internal funds first, debt second, and external equity last. ✓; B) Static Trade-Off Theory states that 100% debt is always optimal; Pecking Order Theory states that managers prefer issuing new common stock first to preserve borrowing capacity; C) Both theories predict that highly profitable firms with strong internal cash flow will maintain the highest debt-to-equity ratios; D) Pecking Order Theory assumes symmetric information between managers and outside investors and sets optimal leverage where marginal bankruptcy cost equals zero |
| 24 | The prior probability that a tech company beats quarterly earnings is P(Beat) = 0.60, and P(Miss) = 0.40. When the company beats earnings, it raises guidance 80% of the time (P(Raise \| Beat) = 0.80); when it misses earnings, it raises guidance 15% of the time (P(Raise \| Miss) = 0.15). Using Bayes' Formula, if the company just announced raised guidance, what is the updated posterior probability P(Beat \| Raise)? | 0.8889 or 88.89% (calculated as (0.80 × 0.60) / [(0.80 × 0.60) + (0.15 × 0.40)] = 0.48 / 0.54) — By the Total Probability Rule, unconditional P(Raise) = P(Raise \| Beat)P(Beat) + P(Raise \| Miss)P(Miss) = (0.80)(0.60) + (0.15)(0.40) = 0.48 + 0.06 = 0.54. By Bayes' Formula, P(Beat \| Raise) = P(Raise \| Beat)P(Beat) / P(Raise) = 0.48 / 0.54 = 8/9 = 88.89%. | By the Total Probability Rule, unconditional P(Raise) = P(Raise \| Beat)P(Beat) + P(Raise \| Miss)P(Miss) = (0.80)(0.60) + (0.15)(0.40) = 0.48 + 0.06 = 0.54. By Bayes' Formula, P(Beat \| Raise) = P(Raise \| Beat)P(Beat) / P(Raise) = 0.48 / 0.54 = 8/9 = 88.89%. | A) 0.5400 or 54.00% (calculated as 0.48 + 0.06); B) 0.4800 or 48.00% (calculated as 0.80 × 0.60); C) 0.7500 or 75.00% (calculated as 0.60 / 0.80); D) 0.8889 or 88.89% (calculated as (0.80 × 0.60) / [(0.80 × 0.60) + (0.15 × 0.40)] = 0.48 / 0.54) — By the Total Probability Rule, unconditional P(Raise) = P(Raise \| Beat)P(Beat) + P(Raise \| Miss)P(Miss) = (0.80)(0.60) + (0.15)(0.40) = 0.48 + 0.06 = 0.54. By Bayes' Formula, P(Beat \| Raise) = P(Raise \| Beat)P(Beat) / P(Raise) = 0.48 / 0.54 = 8/9 = 88.89%. ✓ |
| 25 | A portfolio manager is preparing to leave her employer to launch an independent advisory firm. Under CFA Institute Standard IV(A) Loyalty to Employer, which action is permissible vs. a violation BEFORE her resignation takes effect? | She may register a new corporate entity, lease office space, and purchase equipment on her own time and expense, but she MUST NOT solicit her employer's clients, copy client contact lists, or take proprietary financial models without written permission — Under Standard IV(A), making preparations to leave (incorporating, leasing space, obtaining licenses) on personal time does not breach loyalty to the employer. However, soliciting clients before resignation is effective, or taking employer property—including work product created by the employee during employment—violates Standard IV(A). | Under Standard IV(A), making preparations to leave (incorporating, leasing space, obtaining licenses) on personal time does not breach loyalty to the employer. However, soliciting clients before resignation is effective, or taking employer property—including work product created by the employee during employment—violates Standard IV(A). | A) She may register a new corporate entity, lease office space, and purchase equipment on her own time and expense, but she MUST NOT solicit her employer's clients, copy client contact lists, or take proprietary financial models without written permission — Under Standard IV(A), making preparations to leave (incorporating, leasing space, obtaining licenses) on personal time does not breach loyalty to the employer. However, soliciting clients before resignation is effective, or taking employer property—including work product created by the employee during employment—violates Standard IV(A). ✓; B) She may email her current clients one week before resigning to invite them to transfer their accounts, provided she does so after market hours; C) She may take quantitative spreadsheets and research templates she personally created while employed, because she is their original author; D) She may reconstruct client names and phone numbers from memory BEFORE her resignation takes effect in order to pre-send account transfer forms |
| 26 | Compare the financial statement and cash flow effects of capitalizing versus immediately expensing a $100 million equipment expenditure in Year 1, and state how IFRS (IAS 36) and US GAAP differ on reversing subsequent impairment losses. | In Year 1, capitalizing results in HIGHER Net Income, HIGHER Total Assets/Equity, HIGHER Operating Cash Flow (CFO), and LOWER Investing Cash Flow (CFI) than expensing (with identical total cash flow); IFRS permits reversing impairment losses on non-goodwill assets up to pre-impairment depreciated carrying value, whereas US GAAP strictly prohibits reversing impairment losses on assets held for use — When an expenditure is capitalized rather than expensed in Year 1, only one year's depreciation hits the income statement (rather than 100% of the outlay), yielding higher Year 1 Net Income, Assets, and Equity (and lower Net Income in later years). Cash-wise, an expensed outlay is a CFO outflow, whereas a capitalized outlay is a CFI outflow—so capitalizing reports higher CFO and lower CFI. Under IAS 36 (IFRS), impairment losses (except on goodwill) can be reversed if recoverable amount recovers; under US GAAP, impairment write-downs on assets held for use establish a new cost basis and can never be reversed. | When an expenditure is capitalized rather than expensed in Year 1, only one year's depreciation hits the income statement (rather than 100% of the outlay), yielding higher Year 1 Net Income, Assets, and Equity (and lower Net Income in later years). Cash-wise, an expensed outlay is a CFO outflow, whereas a capitalized outlay is a CFI outflow—so capitalizing reports higher CFO and lower CFI. Under IAS 36 (IFRS), impairment losses (except on goodwill) can be reversed if recoverable amount recovers; under US GAAP, impairment write-downs on assets held for use establish a new cost basis and can never be reversed. | A) In Year 1, capitalizing results in LOWER Net Income and LOWER CFO than expensing; both IFRS and US GAAP allow reversing impairment losses on equipment and goodwill; B) In Year 1, capitalizing increases CFI and decreases CFO; US GAAP permits impairment reversals in OCI, whereas IFRS prohibits all reversals; C) In Year 1, capitalizing results in HIGHER Net Income, HIGHER Total Assets/Equity, HIGHER Operating Cash Flow (CFO), and LOWER Investing Cash Flow (CFI) than expensing (with identical total cash flow); IFRS permits reversing impairment losses on non-goodwill assets up to pre-impairment depreciated carrying value, whereas US GAAP strictly prohibits reversing impairment losses on assets held for use — When an expenditure is capitalized rather than expensed in Year 1, only one year's depreciation hits the income statement (rather than 100% of the outlay), yielding higher Year 1 Net Income, Assets, and Equity (and lower Net Income in later years). Cash-wise, an expensed outlay is a CFO outflow, whereas a capitalized outlay is a CFI outflow—so capitalizing reports higher CFO and lower CFI. Under IAS 36 (IFRS), impairment losses (except on goodwill) can be reversed if recoverable amount recovers; under US GAAP, impairment write-downs on assets held for use establish a new cost basis and can never be reversed. ✓; D) Capitalizing vs. expensing has no effect on CFO or CFI because depreciation is a non-cash charge |
| 27 | A US GAAP manufacturer uses LIFO inventory accounting. In 2025, its ending LIFO inventory is $500 million, LIFO COGS is $1,800 million, and its LIFO Reserve increased from $60 million at year-end 2024 to $85 million at year-end 2025. If the statutory tax rate is 20%, what would 2025 Ending Inventory, 2025 COGS, and 2025 Net Income be under FIFO? | FIFO Ending Inventory = $585 million; FIFO COGS = $1,775 million; FIFO Net Income is $20 million higher than LIFO Net Income — To convert from LIFO to FIFO: (1) FIFO Ending Inventory = LIFO Ending Inventory + Ending LIFO Reserve = $500M + $85M = $585 million; (2) FIFO COGS = LIFO COGS - Change in LIFO Reserve = $1,800M - ($85M - $60M) = $1,800M - $25M = $1,775 million; (3) Change in Net Income = (Change in LIFO Reserve) × (1 - t) = $25M × (1 - 0.20) = +$20 million. | To convert from LIFO to FIFO: (1) FIFO Ending Inventory = LIFO Ending Inventory + Ending LIFO Reserve = $500M + $85M = $585 million; (2) FIFO COGS = LIFO COGS - Change in LIFO Reserve = $1,800M - ($85M - $60M) = $1,800M - $25M = $1,775 million; (3) Change in Net Income = (Change in LIFO Reserve) × (1 - t) = $25M × (1 - 0.20) = +$20 million. | A) FIFO Ending Inventory = $525 million; FIFO COGS = $1,775 million; FIFO Net Income is $25 million higher than LIFO Net Income; B) FIFO Ending Inventory = $415 million; FIFO COGS = $1,825 million; FIFO Net Income is $20 million lower than LIFO Net Income; C) FIFO Ending Inventory = $585 million; FIFO COGS = $1,715 million; FIFO Net Income is $68 million higher than LIFO Net Income; D) FIFO Ending Inventory = $585 million; FIFO COGS = $1,775 million; FIFO Net Income is $20 million higher than LIFO Net Income — To convert from LIFO to FIFO: (1) FIFO Ending Inventory = LIFO Ending Inventory + Ending LIFO Reserve = $500M + $85M = $585 million; (2) FIFO COGS = LIFO COGS - Change in LIFO Reserve = $1,800M - ($85M - $60M) = $1,800M - $25M = $1,775 million; (3) Change in Net Income = (Change in LIFO Reserve) × (1 - t) = $25M × (1 - 0.20) = +$20 million. ✓ |
| 28 | Under the three forms of Eugene Fama's Efficient Market Hypothesis (Weak, Semi-Strong, and Strong Form), which types of information are reflected in security prices and which investment approaches can earn consistent abnormal risk-adjusted returns? | Weak-form reflects all past market data (price/volume), rendering Technical Analysis ineffective; Semi-Strong-form reflects all past market and public fundamental information, rendering both Technical and Fundamental Analysis ineffective (only insiders can earn abnormal returns); Strong-form reflects all public and private information, so no group earns abnormal returns — Weak-form EMH states that current prices fully incorporate historical price and volume data (so technical trading rules fail, though fundamental analysis can still add value). Semi-Strong-form EMH states that prices rapidly and accurately reflect all publicly available information (so neither technical nor fundamental analysis earns abnormal risk-adjusted returns; passive indexing is optimal). Strong-form EMH adds private/insider information. | Weak-form EMH states that current prices fully incorporate historical price and volume data (so technical trading rules fail, though fundamental analysis can still add value). Semi-Strong-form EMH states that prices rapidly and accurately reflect all publicly available information (so neither technical nor fundamental analysis earns abnormal risk-adjusted returns; passive indexing is optimal). Strong-form EMH adds private/insider information. | A) Weak-form reflects all past market data (price/volume), rendering Technical Analysis ineffective; Semi-Strong-form reflects all past market and public fundamental information, rendering both Technical and Fundamental Analysis ineffective (only insiders can earn abnormal returns); Strong-form reflects all public and private information, so no group earns abnormal returns — Weak-form EMH states that current prices fully incorporate historical price and volume data (so technical trading rules fail, though fundamental analysis can still add value). Semi-Strong-form EMH states that prices rapidly and accurately reflect all publicly available information (so neither technical nor fundamental analysis earns abnormal risk-adjusted returns; passive indexing is optimal). Strong-form EMH adds private/insider information. ✓; B) If markets are Semi-Strong-form efficient, prices adjust gradually over several weeks following an unexpected earnings announcement; C) Weak-form reflects all public financial statements, rendering Fundamental Analysis ineffective while Technical Analysis remains profitable; D) Semi-Strong-form efficiency implies that passive index funds will consistently underperform active fundamental managers before fees |
| 29 | What is the exact examination format, session breakdown, topic weight of Ethical & Professional Standards, and Practical Skills Module (PSM) requirement for CFA Level I? | 180 three-choice MCQs (A, B, C with no guessing penalty) split into two 135-minute sessions of 90 questions each (Session 1: Ethics, Quant, Economics, FSA, Corporate Issuers; Session 2: Equity, Fixed Income, Derivatives, Alternatives, Portfolio Management), with Ethics weighted at 15–20% and 1 Practical Skills Module required to receive results — CFA Level I consists of 180 standalone 3-choice MCQs split equally across two 135-minute sessions (90 questions per session). Ethical & Professional Standards carries the highest single topic weight at 15–20% (and can positively or negatively adjust borderline scores), and candidates must complete one Practical Skills Module (e.g., Financial Modeling or Python Fundamentals) before results are released. | CFA Level I consists of 180 standalone 3-choice MCQs split equally across two 135-minute sessions (90 questions per session). Ethical & Professional Standards carries the highest single topic weight at 15–20% (and can positively or negatively adjust borderline scores), and candidates must complete one Practical Skills Module (e.g., Financial Modeling or Python Fundamentals) before results are released. | A) 180 three-choice MCQs (A, B, C with no guessing penalty) split into two 135-minute sessions of 90 questions each (Session 1: Ethics, Quant, Economics, FSA, Corporate Issuers; Session 2: Equity, Fixed Income, Derivatives, Alternatives, Portfolio Management), with Ethics weighted at 15–20% and 1 Practical Skills Module required to receive results — CFA Level I consists of 180 standalone 3-choice MCQs split equally across two 135-minute sessions (90 questions per session). Ethical & Professional Standards carries the highest single topic weight at 15–20% (and can positively or negatively adjust borderline scores), and candidates must complete one Practical Skills Module (e.g., Financial Modeling or Python Fundamentals) before results are released. ✓; B) 240 four-choice MCQs across two 180-minute sessions, with Ethics weighted at 10–12% and an essay section in Session 2; C) 88 item-set vignette questions across two 132-minute sessions, with Financial Statement Analysis weighted at 25–30%; D) 120 MCQs in a single 3-hour session with a 0.25-point penalty for incorrect guesses |
| 30 | Under CFA Institute Standard I(A) Knowledge of the Law, what must a Member or Candidate do when local law, applicable regulation, and the CFA Institute Code and Standards differ, or when they discover an ongoing illegal/unethical activity by their employer? | Follow the MORE STRICT law, rule, or regulation; do not knowingly participate or assist in any violation; and DISSOCIATE from the activity (urging the employer/compliance to cease, and in extreme cases resigning if the firm refuses to stop) — Standard I(A) mandates adhering to the strictest applicable rule (whether local law, regulatory rule, or the CFA Code and Standards). Upon learning of a violation by a colleague or employer, a Member must first attempt to stop it via a supervisor/compliance officer and dissociate from the activity (removing their name from reports, declining the assignment, or resigning if necessary). Inaction is construed as participation. | Standard I(A) mandates adhering to the strictest applicable rule (whether local law, regulatory rule, or the CFA Code and Standards). Upon learning of a violation by a colleague or employer, a Member must first attempt to stop it via a supervisor/compliance officer and dissociate from the activity (removing their name from reports, declining the assignment, or resigning if necessary). Inaction is construed as participation. | A) Follow local country law whenever local law is less restrictive than the CFA Code and Standards, and report all violations directly to CFA Institute within 24 hours; B) Follow the MORE STRICT law, rule, or regulation; do not knowingly participate or assist in any violation; and DISSOCIATE from the activity (urging the employer/compliance to cease, and in extreme cases resigning if the firm refuses to stop) — Standard I(A) mandates adhering to the strictest applicable rule (whether local law, regulatory rule, or the CFA Code and Standards). Upon learning of a violation by a colleague or employer, a Member must first attempt to stop it via a supervisor/compliance officer and dissociate from the activity (removing their name from reports, declining the assignment, or resigning if necessary). Inaction is construed as participation. ✓; C) Continue participating in the assignment under protest while filing an anonymous whistleblower report with the SEC; D) Comply with the CFA Standards even if doing so violates mandatory national statutory law |
| 31 | The spot exchange rate is 1.2500 USD/EUR (Price/Base). The 1-year USD risk-free rate is 5.00% and the 1-year EUR risk-free rate is 2.00% (using annual compounding for simplicity). Under Covered Interest Rate Parity (CIRP), what is the no-arbitrage 1-year forward exchange rate (F_USD/EUR), and which currency trades at a forward discount? | F_USD/EUR = 1.2868 USD/EUR (calculated as 1.2500 × (1.05 / 1.02)); the USD (which has the higher 5% interest rate) trades at a forward discount, while the EUR trades at a forward premium — In Price/Base notation, Covered Interest Rate Parity states F_(P/B) = S_(P/B) × (1 + r_P) / (1 + r_B) = 1.2500 × (1.05 / 1.02) = 1.2868 USD/EUR. Because 1 EUR buys MORE USD forward (1.2868) than spot (1.2500), the base currency EUR (lower interest rate, 2%) trades at a forward premium and the price currency USD (higher interest rate, 5%) trades at a forward discount. | In Price/Base notation, Covered Interest Rate Parity states F_(P/B) = S_(P/B) × (1 + r_P) / (1 + r_B) = 1.2500 × (1.05 / 1.02) = 1.2868 USD/EUR. Because 1 EUR buys MORE USD forward (1.2868) than spot (1.2500), the base currency EUR (lower interest rate, 2%) trades at a forward premium and the price currency USD (higher interest rate, 5%) trades at a forward discount. | A) F_USD/EUR = 1.2143 USD/EUR (calculated as 1.2500 × (1.02 / 1.05)); the EUR trades at a forward discount; B) F_USD/EUR = 1.2868 USD/EUR (calculated as 1.2500 × (1.05 / 1.02)); the USD (which has the higher 5% interest rate) trades at a forward discount, while the EUR trades at a forward premium — In Price/Base notation, Covered Interest Rate Parity states F_(P/B) = S_(P/B) × (1 + r_P) / (1 + r_B) = 1.2500 × (1.05 / 1.02) = 1.2868 USD/EUR. Because 1 EUR buys MORE USD forward (1.2868) than spot (1.2500), the base currency EUR (lower interest rate, 2%) trades at a forward premium and the price currency USD (higher interest rate, 5%) trades at a forward discount. ✓; C) F_USD/EUR = 1.2500 USD/EUR because uncovered interest rate parity holds spot and forward rates equal; D) F_USD/EUR = 1.2875 USD/EUR, and the EUR trades at a forward discount because more USD are required per EUR |
| 32 | Compare the structural biases and rebalancing requirements of a Price-Weighted Index (e.g., DJIA, Nikkei 225), an Equal-Weighted Index, and a Float-Adjusted Market-Capitalization-Weighted Index (e.g., S&P 500). | A Price-Weighted index gives the highest weight to the highest-priced stock and must adjust its divisor downward after stock splits; an Equal-Weighted index tilts toward small-cap/value stocks and requires frequent costly rebalancing as prices diverge; a Float-Adjusted Market-Cap index weights by shares available to the investing public (excluding closely held insider/government shares) and exhibits a momentum tilt — In a Price-Weighted index (arithmetic mean of prices divided by a divisor), a high-priced stock dominates performance regardless of company size, and a stock split reduces that stock's weight while forcing the index provider to decrease the divisor to keep the index level continuous. Equal-Weighted indexes overweight small-cap stocks and require periodic rebalancing. Float-Adjusted Market-Cap indexes self-adjust to price changes without rebalancing trades, creating a natural momentum tilt toward appreciating mega-cap stocks. | In a Price-Weighted index (arithmetic mean of prices divided by a divisor), a high-priced stock dominates performance regardless of company size, and a stock split reduces that stock's weight while forcing the index provider to decrease the divisor to keep the index level continuous. Equal-Weighted indexes overweight small-cap stocks and require periodic rebalancing. Float-Adjusted Market-Cap indexes self-adjust to price changes without rebalancing trades, creating a natural momentum tilt toward appreciating mega-cap stocks. | A) A Market-Cap-Weighted index automatically increases the weight of stocks whose prices have fallen, giving it a contrarian value bias; B) A Price-Weighted index requires daily rebalancing of share quantities, whereas an Equal-Weighted index is self-rebalancing; C) After a 2-for-1 stock split of a constituent, a Price-Weighted index increases its divisor so the index level remains unchanged; D) A Price-Weighted index gives the highest weight to the highest-priced stock and must adjust its divisor downward after stock splits; an Equal-Weighted index tilts toward small-cap/value stocks and requires frequent costly rebalancing as prices diverge; a Float-Adjusted Market-Cap index weights by shares available to the investing public (excluding closely held insider/government shares) and exhibits a momentum tilt — In a Price-Weighted index (arithmetic mean of prices divided by a divisor), a high-priced stock dominates performance regardless of company size, and a stock split reduces that stock's weight while forcing the index provider to decrease the divisor to keep the index level continuous. Equal-Weighted indexes overweight small-cap stocks and require periodic rebalancing. Float-Adjusted Market-Cap indexes self-adjust to price changes without rebalancing trades, creating a natural momentum tilt toward appreciating mega-cap stocks. ✓ |

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