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CFA Program — Equity
36 free practice questions with full explanations.
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Start freeQuestion 1
Which of the following is a characteristic typically associated with preferred stock, distinguishing it from common stock?
- A) Preferred stockholders typically have voting rights while common stockholders do not
- B) Preferred stockholders generally have a priority claim on dividends and assets over common stockholders
- C) Preferred stock dividends always grow at a fixed rate
- D) Preferred stock cannot be issued by public companies
Show answer & explanation
Correct answer: B) Preferred stockholders generally have a priority claim on dividends and assets over common stockholders
Preferred stock generally has priority over common stock in receiving dividends and in claims on assets during liquidation, though preferred shares typically do not carry voting rights, unlike common stock.
Question 2
A stock currently pays an annual dividend of $2.00, expected to grow at a constant rate of 4% indefinitely. If the required rate of return is 9%, what is the stock's value using the Gordon Growth Model?
- A) $22.22
- B) $40.00
- C) $41.60
- D) $44.44
Show answer & explanation
Correct answer: C) $41.60
Gordon Growth Model: V = D1 / (r - g) = (2.00 x 1.04) / (0.09 - 0.04) = 2.08 / 0.05 = $41.60.
Question 3
Which of the following best describes a stock index that weights constituent companies by their total market capitalization?
- A) Price-weighted index
- B) Equal-weighted index
- C) Market-capitalization-weighted index
- D) Fundamental-weighted index
Show answer & explanation
Correct answer: C) Market-capitalization-weighted index
A market-capitalization-weighted index gives larger companies (by total market value) a proportionally larger influence on the index's value, in contrast to a price-weighted index, which weights by share price alone.
Question 4
A company has net income of $5 million and 2 million shares outstanding. What is its earnings per share (EPS)?
- A) $0.40
- B) $2.00
- C) $2.50
- D) $10.00
Show answer & explanation
Correct answer: C) $2.50
EPS = Net Income / Shares Outstanding = 5,000,000 / 2,000,000 = $2.50.
Question 5
A stock trades at a price-to-earnings (P/E) ratio of 20, while the industry average P/E is 12. All else equal, this suggests the stock may be:
- A) Undervalued relative to the industry
- B) Overvalued relative to the industry, or the market expects higher future growth
- C) Fairly valued regardless of the industry average
- D) Impossible to compare to industry peers
Show answer & explanation
Correct answer: B) Overvalued relative to the industry, or the market expects higher future growth
A P/E ratio significantly above the industry average may suggest the stock is overvalued relative to peers, though it could also reflect the market pricing in higher expected earnings growth for that company.
Question 6
In a primary market transaction, a company:
- A) Sells newly issued securities directly to investors, raising new capital
- B) Facilitates trading of securities between existing investors
- C) Only repurchases its own previously issued shares
- D) Cannot raise any new capital
Show answer & explanation
Correct answer: A) Sells newly issued securities directly to investors, raising new capital
The primary market is where new securities are issued and sold to investors for the first time, raising new capital for the issuer, as opposed to the secondary market, where existing securities are traded among investors.
Question 7
A stock is expected to pay a dividend of $1.80 next year, growing at a constant 4.5% rate thereafter. Using a required return of 10%, the Gordon Growth Model value is closest to:
- A) $45.00
- B) $32.73
- C) $40.00
- D) $18.00
Show answer & explanation
Correct answer: B) $32.73
P0 = D1/(r-g) = 1.80/(0.10-0.045) = 1.80/0.055 = $32.73.
Question 8
A stock trades at $48 with trailing EPS of $3.20. The trailing P/E ratio is closest to:
- A) 15.0x
- B) 12.0x
- C) 18.0x
- D) 10.0x
Show answer & explanation
Correct answer: A) 15.0x
P/E = Price/EPS = 48/3.20 = 15.0x.
Question 9
Which of the following best describes an American Depositary Receipt (ADR)?
- A) A type of U.S. government bond.
- B) A certificate representing ownership in a U.S.-only mutual fund.
- C) A type of derivative with no connection to any underlying equity.
- D) A certificate representing shares of a foreign company, traded on a U.S. exchange, allowing U.S. investors to invest in foreign companies without directly trading on a foreign exchange.
Show answer & explanation
Correct answer: D) A certificate representing shares of a foreign company, traded on a U.S. exchange, allowing U.S. investors to invest in foreign companies without directly trading on a foreign exchange.
An ADR represents shares of a foreign company held by a depositary bank, traded on a U.S. stock exchange in U.S. dollars, providing U.S. investors with a convenient way to gain exposure to foreign equities.
Question 10
A company undertakes a 2-for-1 stock split. All else equal, this action will:
- A) Immediately double the company's total market capitalization.
- B) Have no effect on the number of shares outstanding.
- C) Double the number of shares outstanding and approximately halve the stock price, with no change to total market capitalization.
- D) Halve the number of shares outstanding.
Show answer & explanation
Correct answer: C) Double the number of shares outstanding and approximately halve the stock price, with no change to total market capitalization.
A 2-for-1 stock split doubles the number of shares outstanding while proportionally halving the price per share, leaving total market capitalization essentially unchanged, since the split does not alter the underlying value of the company.
Question 11
Which type of equity index weighting method gives every constituent company an equal influence on the index, regardless of its market capitalization or share price?
- A) Fundamental weighting based solely on revenue
- B) Equal weighting
- C) Market-capitalization weighting
- D) Price weighting
Show answer & explanation
Correct answer: B) Equal weighting
An equal-weighted index assigns the same weight to every constituent company regardless of size, in contrast to market-cap weighting (larger companies have more influence) or price weighting (higher-priced stocks have more influence).
Question 12
An investor purchases shares of a closed-end fund. Unlike an open-end mutual fund, a closed-end fund:
- A) Has a fixed number of shares that trade on an exchange at a price that can differ from the fund's net asset value (trading at a premium or discount).
- B) Continuously issues and redeems shares at net asset value.
- C) Cannot be traded by investors at any time.
- D) Is always required to trade at exactly its net asset value.
Show answer & explanation
Correct answer: A) Has a fixed number of shares that trade on an exchange at a price that can differ from the fund's net asset value (trading at a premium or discount).
Closed-end funds issue a fixed number of shares that then trade on an exchange like a stock, with the market price determined by supply and demand and often diverging from the fund's underlying net asset value (trading at a premium or discount), unlike open-end funds, which transact directly with the fund at NAV.
Question 13
Which of the following best describes a "dual-class" share structure?
- A) A structure in which a company issues two or more classes of common stock with differing voting rights, often used by founders to retain control while raising outside capital.
- B) A structure where all shareholders receive identical voting rights regardless of share class.
- C) A structure exclusive to preferred stock, never used for common stock.
- D) A structure that automatically doubles a company's total number of shares annually.
Show answer & explanation
Correct answer: A) A structure in which a company issues two or more classes of common stock with differing voting rights, often used by founders to retain control while raising outside capital.
A dual-class share structure involves issuing multiple classes of common stock with different voting rights (for example, one class with 10 votes per share and another with 1 vote per share), commonly used by founders or insiders to maintain control of the company while still raising capital from outside investors.
Question 14
A company just paid a dividend of $4.00 per share, expected to grow at 3% annually. Using a required return of 9.5%, the value of the stock today is closest to:
- A) $70.00
- B) $63.38
- C) $61.54
- D) $42.11
Show answer & explanation
Correct answer: B) $63.38
D1 = 4.00 x 1.03 = $4.12. P0 = D1/(r-g) = 4.12/(0.095-0.03) = 4.12/0.065 = $63.38.
Question 15
Which of the following best describes "weak-form" market efficiency?
- A) Stock prices fully reflect all historical price and volume information, implying technical analysis of past price patterns cannot reliably generate excess returns.
- B) Stock prices reflect all public and private information.
- C) Stock prices never change in response to any new information.
- D) Stock prices reflect only insider information, not public data.
Show answer & explanation
Correct answer: A) Stock prices fully reflect all historical price and volume information, implying technical analysis of past price patterns cannot reliably generate excess returns.
Weak-form market efficiency holds that current prices fully reflect all historical price and trading volume data, implying that technical analysis based on past price patterns cannot reliably generate risk-adjusted excess returns, though fundamental analysis of public information might still, in theory, do so under this form.
Question 16
Which of the following is a primary function of an initial public offering (IPO)?
- A) Eliminating the need for the company to ever report financial results.
- B) Allowing a private company to raise capital by selling shares to public investors for the first time.
- C) Allowing a public company to become privately held.
- D) Guaranteeing the company will never lose money after going public.
Show answer & explanation
Correct answer: B) Allowing a private company to raise capital by selling shares to public investors for the first time.
An IPO is the process by which a privately held company offers shares to the public for the first time, raising capital from public investors and typically listing on a stock exchange, in contrast to a "going private" transaction, which moves a public company back to private ownership.
Question 17
An investor believes a stock is overvalued and wants to profit if its price declines, without owning the shares. Which strategy would most directly achieve this?
- A) Holding the shares in a long-term retirement account.
- B) Purchasing a call option only, with no other position.
- C) Short selling the stock (borrowing and selling shares, intending to repurchase them later at a lower price).
- D) Buying additional shares of the stock.
Show answer & explanation
Correct answer: C) Short selling the stock (borrowing and selling shares, intending to repurchase them later at a lower price).
Short selling allows an investor to profit from an anticipated price decline by borrowing shares, selling them at the current price, and later repurchasing (covering) them at a hopefully lower price to return to the lender, profiting from the price difference.
Question 18
Which of the following best describes "book value per share"?
- A) The current market trading price of one share.
- B) Total revenue divided by shares outstanding.
- C) The dividend paid per share in the most recent year.
- D) Total shareholders' equity divided by the number of common shares outstanding.
Show answer & explanation
Correct answer: D) Total shareholders' equity divided by the number of common shares outstanding.
Book value per share represents the accounting net worth of the company (total shareholders' equity) attributable to each outstanding common share, which often differs meaningfully from the stock's market price.
Question 19
A stock pays a dividend of $2 next year, which is expected to grow at 5% forever. If the required return is 9%, the intrinsic value using the Gordon Growth Model is:
- A) $40
- B) $50
- C) $22.22
- D) $44.44
Show answer & explanation
Correct answer: B) $50
Gordon Growth Model: P = D₁/(r−g) = 2/(0.09−0.05) = 2/0.04 = $50.
Question 20
Which of the following market structures features a few dominant firms with interdependent pricing decisions?
- A) Perfect competition
- B) Monopolistic competition
- C) Oligopoly
- D) Monopoly
Show answer & explanation
Correct answer: C) Oligopoly
An oligopoly is characterized by a small number of large firms whose pricing and output decisions are interdependent. Game theory (e.g., prisoner's dilemma) is commonly used to analyze behavior.
Question 21
A company has EPS of $4 and a P/E ratio of 15. If earnings grow by 10%, the new stock price (assuming the P/E ratio remains constant) is:
- A) $60
- B) $66
- C) $64
- D) $70
Show answer & explanation
Correct answer: B) $66
New EPS = $4 × 1.10 = $4.40. New price = $4.40 × 15 = $66.
Question 22
Which of the following is the strongest form of the Efficient Market Hypothesis (EMH)?
- A) Weak-form: prices reflect all past trading data
- B) Semi-strong form: prices reflect all publicly available information
- C) Strong form: prices reflect all information, public and private
- D) Perfect form: no investor can ever earn excess returns
Show answer & explanation
Correct answer: C) Strong form: prices reflect all information, public and private
Strong-form EMH states that prices reflect all information, including insider information. Even those with material nonpublic information cannot consistently earn abnormal returns.
Question 23
An investor uses a price-to-book (P/B) ratio to value a bank stock. A P/B below 1.0 most likely indicates:
- A) The bank is overvalued
- B) The market values the bank's equity below its book value
- C) The bank has high growth expectations
- D) The bank's ROE exceeds its cost of equity
Show answer & explanation
Correct answer: B) The market values the bank's equity below its book value
P/B < 1.0 means the stock trades below its book value per share, which can signal financial distress, poor profitability (ROE < cost of equity), or that assets are overvalued on the books.
Question 24
A company repurchases shares using excess cash. All else equal, this action will most likely:
- A) Decrease earnings per share
- B) Decrease the P/E ratio if stock price remains unchanged
- C) Increase earnings per share
- D) Have no effect on earnings per share
Show answer & explanation
Correct answer: C) Increase earnings per share
Share repurchases reduce the number of shares outstanding. If net income is unchanged, EPS = Net Income / Shares Outstanding increases. This is one reason firms choose buybacks over dividends.
Question 25
A stock is expected to pay a dividend of $2.00 next year, growing at a constant rate of 4% per year indefinitely. Using a required rate of return of 9%, the Gordon Growth Model value of the stock is closest to:
- A) $50.00
- B) $18.18
- C) $40.00
- D) $22.22
Show answer & explanation
Correct answer: C) $40.00
Using the Gordon Growth Model: P0 = D1/(r-g) = 2.00/(0.09-0.04) = 2.00/0.05 = $40.00.
Question 26
A stock trades at $63 per share and has trailing earnings per share of $4.50. The trailing price-to-earnings (P/E) ratio is closest to:
- A) 20.0x
- B) 14.0x
- C) 12.5x
- D) 18.0x
Show answer & explanation
Correct answer: B) 14.0x
P/E ratio = Price / EPS = 63/4.50 = 14.0x.
Question 27
In a well-functioning secondary market for common stock, trades occur:
- A) Between investors, without the issuing company directly receiving any proceeds from the trade.
- B) Only between the issuing company and a single investor.
- C) Only during a company's initial public offering.
- D) With all proceeds automatically going to the issuing company.
Show answer & explanation
Correct answer: A) Between investors, without the issuing company directly receiving any proceeds from the trade.
The secondary market involves trading of already-issued securities between investors; the issuing company does not receive proceeds from these subsequent trades, unlike in the primary market (such as an IPO), where the company does receive proceeds.
Question 28
Which of the following best distinguishes preferred stock from common stock?
- A) Preferred stock always has more voting power than common stock.
- B) Preferred stock guarantees capital appreciation, unlike common stock.
- C) Preferred stock is legally classified as debt in every jurisdiction.
- D) Preferred stock typically has a fixed dividend and priority over common stock in claims on assets and earnings, but generally lacks voting rights.
Show answer & explanation
Correct answer: D) Preferred stock typically has a fixed dividend and priority over common stock in claims on assets and earnings, but generally lacks voting rights.
Preferred stock generally carries a fixed dividend rate and has priority over common stock in the event of dividend payments or liquidation, but typically does not carry voting rights, unlike common stock.
Question 29
A company's stock has a beta of 1.3. According to the Capital Asset Pricing Model (CAPM), this stock's expected return relative to the market portfolio should generally reflect:
- A) Movement exactly opposite to the overall market.
- B) Guaranteed outperformance of the market in every period.
- C) Greater sensitivity to market movements than the average stock, since beta greater than 1 indicates above-average systematic risk.
- D) No relationship to market movements at all.
Show answer & explanation
Correct answer: C) Greater sensitivity to market movements than the average stock, since beta greater than 1 indicates above-average systematic risk.
A beta of 1.3 indicates the stock is expected to move more than proportionally with the overall market (30% more volatile relative to systematic market movements), reflecting higher systematic risk than the average stock (beta of 1.0), and correspondingly, under CAPM, a higher required/expected return.
Question 30
The risk-free rate is 3%, the expected market return is 9%, and a stock has a beta of 1.2. Using the Capital Asset Pricing Model, the stock's expected return is closest to:
- A) 6.0%
- B) 10.2%
- C) 9.0%
- D) 10.8%
Show answer & explanation
Correct answer: B) 10.2%
CAPM: E(R) = Rf + beta x (Rm - Rf) = 0.03 + 1.2(0.09-0.03) = 0.03 + 1.2(0.06) = 0.03 + 0.072 = 10.2%.
Question 31
A stock trades at $54 per share and has a book value per share of $36. The stock's price-to-book (P/B) ratio is closest to:
- A) 0.67x
- B) 1.20x
- C) 2.00x
- D) 1.50x
Show answer & explanation
Correct answer: D) 1.50x
P/B ratio = Market price per share / Book value per share = 54/36 = 1.50x, indicating the market values the company's equity at 1.5 times its accounting (book) net worth.
Question 32
A price-weighted index consists of three stocks currently priced at $40, $60, and $20, with a divisor of 3 (no stock splits have occurred). The current index level is closest to:
- A) 40.0
- B) 120.0
- C) 33.3
- D) 60.0
Show answer & explanation
Correct answer: A) 40.0
In a price-weighted index, the index level equals the sum of the constituent prices divided by the divisor: (40+60+20)/3 = 120/3 = 40.0. Because higher-priced stocks receive proportionally greater weight in this method, a price-weighted index can be significantly influenced by high-priced constituents regardless of their actual market capitalization.
Question 33
According to the semi-strong form of the efficient market hypothesis, security prices fully reflect:
- A) Only historical price and volume data, not other public information.
- B) Insider (private) information not yet available to the public.
- C) No information whatsoever, since prices move entirely at random.
- D) All publicly available information, including historical prices as well as public financial statements, news, and economic data, implying that fundamental analysis of public information alone cannot reliably generate abnormal risk-adjusted returns.
Show answer & explanation
Correct answer: D) All publicly available information, including historical prices as well as public financial statements, news, and economic data, implying that fundamental analysis of public information alone cannot reliably generate abnormal risk-adjusted returns.
The semi-strong form of market efficiency holds that security prices fully incorporate all publicly available information, not just historical price data, implying that analyzing public information such as financial statements or news (fundamental analysis) cannot reliably generate abnormal risk-adjusted returns, though private (insider) information could still, in theory, do so under this form.
Question 34
A company just paid a dividend of $2.00 per share (D0), which is expected to grow at 20% annually for the next 2 years before settling into a constant long-run growth rate of 5% thereafter. Using a required return of 11%, the value of the stock today, using a two-stage dividend discount model, is closest to:
- A) $36.00
- B) $50.40
- C) $45.41
- D) $60.00
Show answer & explanation
Correct answer: C) $45.41
D1 = 2.00 x 1.20 = $2.40; D2 = 2.40 x 1.20 = $2.88; D3 = 2.88 x 1.05 = $3.024. Terminal value at end of Year 2 = D3/(r-g) = 3.024/(0.11-0.05) = $50.40. Discounting: PV(D1) = 2.40/1.11 = $2.16; PV(D2) = 2.88/1.11^2 = $2.34; PV(TV2) = 50.40/1.11^2 = $40.91. Summing: 2.16+2.34+40.91 = approximately $45.41.
Question 35
A share of preferred stock pays a fixed annual dividend of $5.00 in perpetuity. Using a required rate of return of 8%, the value of the preferred share is closest to:
- A) $40.00
- B) $62.50
- C) $50.00
- D) $80.00
Show answer & explanation
Correct answer: B) $62.50
Since preferred stock typically pays a fixed dividend indefinitely, it can be valued as a perpetuity: Value = Dividend / Required return = 5.00/0.08 = $62.50.
Question 36
A stock has a trailing P/E ratio of 18x and an expected annual earnings growth rate of 12%. The stock's PEG ratio is closest to:
- A) 1.50
- B) 0.67
- C) 2.16
- D) 1.20
Show answer & explanation
Correct answer: A) 1.50
PEG ratio = P/E ratio / Expected earnings growth rate (expressed as a whole number) = 18/12 = 1.50. A PEG ratio near 1.0 is sometimes viewed as indicating a stock reasonably priced relative to its growth prospects, though this is a simplifying heuristic rather than a precise valuation rule.
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