Chapter 11 Return & Risk The Capital Asset Pricing Model (CAPM) Page 1 of 56 Q1: What are the characteristics of individual securities? 1. Expected Return. The return that an individual expects a stock to earn over the next period. Thee expected return is simply the average historical return. ∑π π Μ = π 2. Variance and Standard Deviation. To assess the volatility of a security’s return. ∑(π − π Μ )2 2 ππ΄π π = π ππ‘π π = √ππ΄π 3. Covariance and Correlation. To measure the interrelationship between two securities. These two measures are building blocks to an understanding of the beta coefficient. ∑[(π π₯ − Μ π Μ Μ π₯Μ ) × (π π¦ − Μ Μ Μ Μ π π¦ )] πΆπππ₯,π¦ ππ₯,π¦ = π πΆππ π π₯,π¦ π = πΆπππ₯,π¦ ππ‘ππ₯ × ππ‘ππ¦ Q2: How to calculate the variance and standard deviation of a portfolio of two stocks? Μ Μ Μ π₯Μ Μ Μ Μ Μ ππ2 = Μ π Μ Μ π₯Μ ππ₯2 + 2π π π¦ ππ₯,π¦ + Μ Μ Μ Μ π π¦ ππ¦2 πππ·π = √ππ2 NOTE (1): as long as the correlation (π < 1), the standard deviation of a portfolio of two securities is less than the weighted average of the standard deviation of the individual securities. Page 2 of 56 Q3: Differentiate between systematic and unsystematic risks. • A systematic risk: is any risk that affects a large number of assets, each to a greater or lesser degree. This risk represents the uncertainty about general economic conditions. Examples of systematic risk: GNP, GDP, inflation rate, interest rates. • Unsystematic risk: is the risk that specifically affect a single asst or a small group of assets. Example of unsystematic risk: any announcement of a small oil strike will impact the oil companies only. Sometimes called idiosyncratic risk. NOTE (2): Diversification minimize the unsystematic risk only. The total risk is the systematic risk plus the unsystematic risk. The standard deviation of returns is a measure of total risk. Q4: Define homogenous expectation. This term refers to the assumption where all investors have the access to the similar sources of information. In other words, all investors possess the same estimates of expected returns, variances, and covariances. Q5: What is Beta? And how its calculated? Beta measures the responsiveness of a security to movements in the market portfolio. π½= ππ₯,π 2 π (π π ) Q6: What is the Capital Assets Pricing Model (CAPM)? The CAPM implies that the expected return on a security is linearly and positively related to its beta. The CAPM use the Security Market Line to express this relationship. Μ Μ Μ Μ π Μ = π πΉ + [π½ × (π π − π πΉ )] NOTE (3): if Beta is 0, the return will be the risk-free rate. If Beta is 1, the return will be the market rate of return. Page 3 of 56 Q7: Differentiate between the Capital Market Line (CML) and Security Market Line (SML). Comparison Full Form Definition Uses Portfolios Functioning Agenda CML Capital Market Line Determines the average return in the market share Standard deviation of the portfolio Defines functioning portfolios SML Security Market Line Determines the market risk of the investments Beta Defines both functioning and nonfunctioning portfolios More efficient Less Efficient Describe only market portfolios Describe overall security factors and risk-free investment Page 4 of 56 Chapter 11 Problems Page 5 of 56 Page 6 of 56 Page 7 of 56 Page 8 of 56 Page 9 of 56 Chapter 13 Risk, Cost of Capital, and Valuation Page 10 of 56 Q1: What does the firm do if it has extra cash? How about the investors? Whenever the firm has extra cash, it can either pay cash dividends to investors on invest it in a project. Investors might invest the cash they would receive in other financial assets such as stocks or bonds. If the project the firm intend to invest in has the same level of risk, investors will always prefer the option with the highest expected returns. Q2: What are the components of the cost of capital? The cost of capital, also called discount rate and required rate of return, refers to the cost of issuing new stock and the cost of acquiring new debts. The sum of these two refers to the total return to new shareholders and debtholders. From firm perspective, the sum represents the amount of cash it has to pay to the new shareholders and debtholders. Q3: How to estimate the cost of equity? The cost of equity (π π ) can be determined using two methods, the Capital Asset Pricing Model (CAPM) and the Dividend Discount Model (DDM). Using the CAPM: Μ Μ Μ Μ π π = π πΉ + [π½ × (π π − π πΉ )] Using the DDM: π π = π·ππ£ +π π Q4: What are the determinants of Beta? 1. The cyclical nature of revenues: depending on the business cycle. High cyclical stock has higher beta. Example, retailers and automotive firms fluctuate with business cycle, while transportation firms and utilities are less dependent on business cycle. 2. Operating leverage: the sensitivity to the firm’s fixed costs of production. Firms with high fixed costs and low variable costs are said to have high operating leverage 3. Financial leverage: the sensitivity to the firm’s fixed costs of financing. It always increases the equity beta relative to the asset beta. NOTE (1): we can say that the determinant of beat are business risk (cyclicity of revenues and operating leverage) and financial risk (financial leverage). Page 11 of 56 Q5: How to determine the beta of an asset (portfolio)? Asset beta with equity and debt: π½π΄π π ππ‘ = [( π π΅ ) × π½πΈππ’ππ‘π¦ ] + [( ) × π½π·πππ‘ ] π΅+π π΅+π Asset beta with 0 beta of debt π½π΄π π ππ‘ = [( π ) × π½πΈππ’ππ‘π¦ ] π΅+π The equity beta then will be π΅ π½πΈππ’ππ‘π¦ = π½π΄π π ππ‘ (1 + ) π NOTE (2): because ]S/(B+S)[ must be below 1 for a levered firm, the equity beta will always be greater than the asset beta with financial leverage. In other words, the equity beta of a levered firm will always be greater than the equity beta of an otherwise identical all-equity firm. Q6: How to determine the dividends growth rate? There are three major ways to determine the dividends growth rate: 1. Historical growth rate in dividends. 2. Sustainable growth rate. π = π ππ‘πππ‘πππ π ππ‘ππ × π ππΈ 3. Using analysts’ reports and estimates. NOTE (3): both DDM and CAPM are internally consistent models, but academics favored CAPM over DDM. A recent study reported that slightly fewer than three/fourths of companies use the CAPM to estimate the cost of equity capital, while slightly one-sixth of companies use the DDM. Page 12 of 56 Q7: What are the major advantages of CAPM? The CAPM has two primary advantages: 1. It explicitly adjusts for risk. 2. It is applicable for companies that do not pay dividends and those whose dividends growth rates are difficult to estimate. Q8: What is the advantage and disadvantage of DDM? The primary advantage of DDM is that it is simple to calculate. The first disadvantage of DDM is that it is not applicable for firms that do not pay dividends, those who pay fixed and steady dividends, and those whose dividends growth rates are difficult to estimate. Another disadvantage of DDM is that it does not explicitly adjust for risk. Q7: How to estimate the discount rate for a project whose risk differs from that of the firm? Each project should be discounted at a rate commensurate with its own risk. Q8: How to calculate the cost of debts? It is the interest rate required on new debt issuance such as yield to maturity on debt outstanding. π π΅ = (1 − π‘) × π΅πππππ€πππ π ππ‘π Q9: What is the feature of preferred stocks? And how the cost of preferred stock is calculated The preferred stock is similar to bonds than to common stock. Preferred stock pays a constant dividend in perpetuity. π π = πΆ ππ Q10: Why cost of preferred stock does not adjust for tax? Because dividends on preferred stocks are not tax deductible. Page 13 of 56 Q11: How to calculate the weighed average cost of capital? π ππ΄πΆπΆ = [ π π π΅ × π π ] + [ × π π ] + [ × π π΅ × (1 + π‘)] π΅+π+π π΅+π+π π΅+π+π Q12: How can we use the WACC in estimating project’s value? ππ0 = πΆπΉ1 πΆπΉ2 πΆπΉ3 πΆπΉπ + + +β―+ 2 3 1 + π ππ΄πΆπΆ (1 + π ππ΄πΆπΆ ) (1 + π ππ΄πΆπΆ ) (1 + π ππ΄πΆπΆ )π Q13: How can we use the WACC in estimating firm’s value? ππ0 = πΆπΉ1 πΆπΉ2 πΆπΉ3 πΆπΉπ + πππ + + + β― + 1 + π ππ΄πΆπΆ (1 + π ππ΄πΆπΆ )2 (1 + π ππ΄πΆπΆ )3 (1 + π ππ΄πΆπΆ )π The Terminal Value can be calculated as follows: πππ = πΆπΉπ (1 + ππΆπΉ ) π ππ΄πΆπΆ − ππΆπΉ Q14: How to determine the Cash Flow (CF) for a project/firm? Sign = + = Component Earnings Before Interest and Taxes (EBIT) Taxes Net Profits After Tax (NOPAT) Depreciation Capital Spending Increases in The Net Working Capital Net Cash Flows Q15: What are floatation costs? The floatation costs are incurred when projects are funded by stocks and bonds, and they are the issue costs. NOTE (4): the required return on an investment depends on the risk of the investment, not the source of the funds. Page 14 of 56 Q16: How to calculate the dollar amount of floatation costs? To calculate the cash flow after floatation costs: π΄πππ’ππ‘ π πππ ππ 1 − π% To calculate the dollar amount of floatation costs: π= π΄πππ’ππ‘ π πππ ππ − π΄πππ’ππ‘ π πππ ππ 1 − π% Q17: How to calculate the weighted average floatation costs (%)? π0 = [ππ × π π΅ ] + [ππ΅ × ] π΅+π π΅+π Page 15 of 56 Chapter 13 Problems Page 16 of 56 Page 17 of 56 Page 18 of 56 Page 19 of 56 Page 20 of 56 Chapter 14 Efficient Capital Markets and Behavioral Challenges Page 21 of 56 Q1: How can firms create value through capital budgeting? 1. 2. 3. 4. Locate an unsatisfied demand for a particular product or service. Create a barrier to make it more difficult for other firms to compete. Produce products or services at a lower cost than the competition. Be the first to develop a new product. Q2: What are the three ways of creating valuable financing opportunities? 1. Fool investors 2. Reduce costs or increase subsidies 3. Create a new security Q3: Define the efficient market hypothesis (EMH). The efficient capital market refers to the market where stock prices fully reflect the available information about the underlying value of the stock. NOTE (1): The efficient market hypothesis has implications for investors and for firms. Because information is reflected in prices immediately, investors should only expect to obtain a normal rate of return. Awareness of information when it released does an investor no good. The price adjusts before the investor has time to trade on it. NOTE (2): valuable financing opportunities that arise from fooling investors are unavailable in efficient capital market, because firms should only expect fair value for securities that they sell. Q4: What are the conditions that cause market efficiency? 1. Rationality: all investors are rational and when new information is released in the marketplace, all will adjust their estimates of stock prices in a rational way. 2. Independent deviations from rationality: equal countervailing irrationalities which will offset each other. 3. Arbitrage: if arbitrage professionals dominates the speculation of amateurs, markets would still be efficient. Page 22 of 56 Q5: What are the different types of efficiency? 1. Weak Form: When capital market fully reflects and incorporates the information in past stock prices. It can be represented in a mathematical way: ππ‘ = ππ‘−1 + π Μ π‘ + ππ‘ In other words, in the weak form, the price today is the price yesterday, last week, or last month, plus the expected return. If stock prices follow the above equation, it is said that it follows random walk. In this form, the technical analysis is useless. 2. Semi-strong Form: When the prices reflect and incorporate all publicly available information, such as published financial statements, historical price information. In this form, most financial analysis is useless. 3. Strong Form: When the prices reflect all information, public or private. In this form, nobody makes superior profits. Q6: Compare the three forms of market efficiency. Weak Semi-strong Page 23 of 56 Strong Q7: What are the common misconceptions about the EMH? 1. The efficacy of dart throwing. 2. Price fluctuations. 3. Stockholder disinterest. Q8: What are the behavioral challenges to market efficiency? 1. Rationality: - people are not always rational. - Many investors fail to diversify, trade too much, and seem to try to maximize taxes by selling winners and holding losers. 2. Independent deviations from rationality - Representativeness: drawing conclusions from too little data, which can lead to bubbles in security prices. - Conservatism: people are too slow in adjusting their beliefs to new information. Therefore, security prices seem to respond too slowly to earnings surprises. 3. Arbitrage. Q8: What are the empirical challenges to market efficiency? 1. Limits to arbitrage: risk considerations may force arbitragers to take positions which are too small to move price back to parity. 2. Earnings surprises: stock prices adjust slowly to earning announcements. 3. Size: small stocks outperform large stocks. 4. Value vs. growth: value stocks outperform growth stocks. 5. Crashes and bubbles. Q9: What are the implications of efficiency in corporate finance? 1. Accounting choices, financial choices, and market efficiency: managers cannot fool the market through creative accounting. 2. The timing decision: firms cannot successfully time issues of debt and equity. 3. Speculation and efficient markets: managers cannot profitably speculate in foreign currencies and other instruments. 4. Information in market prices: managers can reap many benefits by paying attention to market prices. Page 24 of 56 Chapter 14 Problems Page 25 of 56 Page 26 of 56 Page 27 of 56 Page 28 of 56 Page 29 of 56 Page 30 of 56 Page 31 of 56 Chapter 16 Capital Structure: Basic Concepts Page 32 of 56 Q1: Define the pie model? The pie model is the capital structure approach where firms should choose their debt-equity ratio. NOTE (1): Managers should choose the capital structure that they believe will have the highest firm value because this capital structure will be most beneficial to the firm’s stockholders, which is the optimal capital structure. The optimal capital structure is the mix of debt and equity at which the firm value is maximized. Q2: What is MM1and MM2? MM1 is a theory that have a convincing argument made by Modigliani and Miller. It states that firms’ capital structures do not impact its value. Since the value of a company is calculated as the present value of future cash flows, the capital structure cannot affect it. In this proposition, MM stated that the cost of capital is the same of firms regardless of the capital structure. ππΏ = ππ In MM2, Modigliani and Miller posit a positive relationship between the expected return on equity and leverage. This result occurs because the risk of equity increases with leverage. In this proposition, the cost of equity capital π π is positively related to the firm’s debt-to-equity ratio. The firm’s weighted average cost of capital π ππ΄πΆπΆ is invariant to the firm’s debt-to-equity ratio. π π = π 0 + π΅ (π − π π΅ ) π 0 NOTE (2): MM Proposition I (no taxes): The value of the levered firm is the same as the value of the unlevered firm. Modigliani and Miller showed a blindingly simple result: If levered firms are priced too high, rational investors will simply borrow on their personal accounts to buy shares in unlevered firms. This substitution is often called homemade leverage. NOTE (3): MM1 is about the firm value. MM2 is about the cost of equity. In MM2, π ππ΄πΆπΆ must always equal to π π in a world without corporate taxes. Page 33 of 56 Q3: What are the assumptions and intuitions of Modigliani and Miller propositions without taxes? Assumptions • • • No taxes. No transaction costs. Individuals and corporations borrow at same rate. Intuitions • • Proposition I: Through homemade leverage individuals can either duplicate or undo the effects of corporate leverage. Proposition II: The cost of equity rises with leverage because the risk to equity rises with leverage. Q4: What are the unrealistic assumptions of MM? 1. Taxes are ignored. 2. Bankruptcy costs and other agency costs were not considered. Q5: How to calculate the present value of the tax shield? π‘πΆ π π΅ π΅ π π΅ Q6: How to calculate the present value of an unlevered and levered firm under the MM1 (corporate Taxes)? ππ = πΈπ΅πΌπ × (1 − π‘πΆ ) π 0 ππΏ = ππ + π‘πΆ π΅ Q7: How to calculate the return on equity under the MM2 (corporate Taxes) π π = π 0 + π΅ × (1 − π‘πΆ ) × (π 0 − π π΅ ) π Page 34 of 56 Q8: What are the assumptions and intuitions of Modigliani and Miller propositions with corporate taxes? Assumptions • • • Corporations are taxed at the rate π‘πΆ , on earnings after interest. No transaction costs. Individuals and corporations borrow at same rate. Intuitions • • Proposition I: Because corporations can deduct interest payments but not dividend payments, corporate leverage lowers tax payments. Proposition II: The cost of equity rises with leverage because the risk to equity rises with leverage. Page 35 of 56 Chapter 16 Problems Page 36 of 56 Page 37 of 56 Page 38 of 56 Page 39 of 56 Page 40 of 56 Page 41 of 56 Chapter 19 Dividends and Other Payouts Page 42 of 56 Q1: Differentiate between dividends and distributions. Dividends refer to cash distributed from the retained earnings. Distribution refers to cash distributed to shareholders from sources other than earnings, such as capital, which is also called liquidating dividends. When public companies pay dividends, they usually pay regular cash dividends four times a year. Sometimes firms will pay a regular cash dividend and an extra cash dividend. Paying a cash dividend reduces corporate cash and retained earnings—except in the case of a liquidating dividend (where paid-in capital may be reduced). Q2: What are the types of dividends? 1. Cash dividends 2. Stock dividends. Q3: Define stock splits and stock repurchases. Stock split is when a company increases the number of shares outstanding by splitting its shares at a particular split ratio. As of stock repurchase, the company uses cash to buyback shares of its stock and hold them as treasury stock. Q4: Who decide whether to pay dividends or not? The decision to pay a dividend rests in the hands of the board of directors of the corporation. Q5: what are the three dividend expressions? 1. Dividends per share π·ππ£πππππ πππ πβπππ = πππ‘ππ π·ππ£ππππππ πππ‘ππ πβππππ 2. Dividend yield π·ππ£πππππ π¦ππππ = π·ππ£ππππππ πππ π βπππ πΆπ’πππππ‘ π βπππ πππππ 3. Dividend payout π·ππ£πππππ πππ¦ππ’π‘ = π·ππ£ππππππ πππ π βπππ πΈπππππππ πππ π βπππ Page 43 of 56 Q6: What is the dividend payment mechanism? 1. Declaration Date The board o directors declares a payment of dividends. 2. Record Date The declared dividends are distributable to shareholders of record on a specific date. The corporation prepares a list on January 30 of all individuals believed to be stockholders as of this date. The word believed is important here: The dividend will not be paid to individuals whose notification of purchase is received by the company after January 30. 3. Ex-dividend Date A share of stock becomes ex dividend on the date the seller is entitled to keep the dividend; under NYSE rules, shares are traded ex dividend on and after the second business day before the record date. all brokerage firms entitle stockholders to receive the dividend if they purchased the stock three business days before the date of record. Obviously, the ex-dividend date is important because an individual purchasing the security before the ex-dividend date will receive the current dividend, whereas another individual purchasing the security on or after this date will not receive the dividend. The stock price will therefore fall on the ex-dividend date. It is worthwhile to note that this drop is an indication of efficiency, not inefficiency, because the market rationally attaches value to a cash dividend. In a world with neither taxes nor transaction costs, the stock price would be expected to fall by the amount of the dividend 4. Payment Date The dividend checks are mailed to shareholders of record. Q7: Define homemade dividends It refers to the investment income that investors receive from selling a portion of their portfolio. Q8: What is Modigliani and Miller dividend irrelevance proposition? The investment policy of the firm is set ahead of time and is not altered by changes in dividend policy. Firms should never give up a positive NPV project to increase a dividend (or to pay a dividend for the first time). Page 44 of 56 Q9: What are the three different ways a company can repurchase its own stocks? 1. Open market purchases Companies may simply purchase their own stock. The firm does not reveal itself as the buyer. Thus, the seller does not know whether the shares were sold back to the firm or to just another investor. 2. Tender offer The firm announces to all of its stockholders that it is willing to buy a fixed number of shares at a specific price. It is similar to the Dutch Auction where the firm conducts an auction in which it bids for shares and does not set a fixed price for the shares to be sold. The firm announces the number of shares it is willing to buy back at various prices, and shareholders indicate how many shares they are willing to sell at the various prices. The firm will then pay the lowest price that will achieve its goal. 3. Targeted purchase Firms may repurchase shares from specific individual stockholders. Companies engage in targeted repurchases for a variety of reasons. In some rare cases, a single large stockholder can be bought out at a price lower than that in a tender offer. The legal fees in a targeted repurchase may also be lower than those in a more typical buyback. In addition, the shares of large stockholders are often repurchased to avoid a takeover unfavorable to management. NOTE (1): Stock repurchases are not always a substitute for paying dividends but rather a complement to it. Page 45 of 56 Q10: Why do some firms choose repurchases over dividends? 1. Flexibility Firms often view dividends as a commitment to their stockholders and are quite hesitant to reduce an existing dividend. Repurchases do not represent a similar commitment. Thus, a firm with a permanent increase in cash flow is likely to increase its dividend. Conversely, a firm whose cash flow increase is only temporary is likely to repurchase shares of stock. 2. Executive Compensation Existing stock options will always have greater value when the firm repurchases shares instead of paying a dividend because the stock price will be greater after a repurchase than after a dividend. 3. Offset to Dilution the exercise of stock options increases the number of shares outstanding. In other words, exercise causes dilution of the stock. Firms frequently buy back shares of stock to offset this dilution. 4. Undervaluation Many companies buy back stock because they believe that a repurchase is their best investment. This occurs more frequently when managers believe that the stock price is temporarily depressed. some empirical work has shown that the long-term stock price performance of securities after a buyback is better than the stock price performance of comparable companies that do not repurchase. 5. Taxes The repurchases provide a tax advantage over dividends. NOTE (2): In a world without taxes and other frictions, the timing of dividend payout does not matter if distributable cash flows do not change. NOTE (3): Financial economists generally agree that in a world of personal taxes, firms should not issue stock to pay dividends. Q11: Define wash case. It takes place when a transaction has no economic effect. Page 46 of 56 Q12: What are the alternatives of dividends when firms have excess cash? 1. 2. 3. 4. Select additional capital budgeting projects Acquire other companies Purchase financial assets Repurchase shares NOTE (4): Because of personal taxes, firms have an incentive to reduce dividends. they might increase capital expenditures, acquire other companies, or purchase financial assets. However, due to financial considerations and legal constraints, rational firms with large cash flows will likely exhaust these activities with plenty of cash left over for dividends. Q13: Despite the advantages of repurchasing shares, why firms pay its shareholders high dividends even in the presence of personal taxes on these dividends? Desire for current income, Behavioral finance, Agency costs, and Information content of dividends and dividend signaling Q14: What is the information content effect? It is the rise in the stock price following the dividend signal. Q15: What is dividend signaling? This theory implies that company announcements of dividend increases indicate positive future cash flows. When a firm makes a commitment to pay a cash dividend now and into the future, it sends a two-part signal to the markets. one signal is that the firm anticipates being profitable, with the ability to make the payments on an ongoing basis. Second, the firm signals that it won’t be hoarding cash (or at least not as much cash), thereby reducing agency costs and enhancing shareholder wealth. Q16: What is the Clientele Effect? it states that different policies attract different types of investors, and changes to the policies will cause a shift in demand for the company’s stock by investors, impacting its share price. In other words, it states that investors are attracted to investing in companies with specific policies. Page 47 of 56 Q17: In a world where many investors like high dividends, a firm can boost its share price by increasing its dividend payout ratio.” True or false? The statement is likely to be false. As long as there are already enough high-dividend firms to satisfy dividend-loving investors, a firm will not be able to boost its share price by paying high dividends. A firm can boost its stock price only if an unsatisfied clientele exists. In fact, tax brackets vary across investors. If shareholders care about taxes, stocks should attract clienteles based on dividend yield. NOTE (5): Dividends are tax disadvantaged relative to capital gains because dividends are taxed upon payment whereas taxes on capital gains are deferred until sale. Q18: What is dividend smoothing? This theory implies that firms adjust their dividends gradually in response to changes in earnings. Q19: What are the pros and cons of paying dividends? Pros May appeal to investors who desire stable cash flow but do not want to incur the transaction costs from periodically selling shares of stock. Behavioral finance argues that investors with limited self-control can meet current consumption needs with high-dividend stocks while adhering to the policy of never dipping into principal. Managers, acting on behalf of stockholders, can pay dividends in order to keep cash from bondholders. The board of directors, acting on behalf of stockholders, can use dividends to reduce the cash available to spendthrift managers. Managers may increase dividends to signal their optimism concerning future cash flow. Cons Dividends have been traditionally taxed as ordinary income. Dividends can reduce internal sources of financing. Dividends may force the firm to forgo positive NPV projects or to rely on costly external equity financing. Once established, dividend cuts are hard to make without adversely affecting a firm’s stock price. Page 48 of 56 Q20: What are the drawbacks of a fixed repurchase strategy? 1. Verifiability Repurchasing shares needs monitoring and have expenses associated to them. 2. It forces management into making negative NPV investments. Q21: Define stock dividend. What are the impacts of a stock dividend? It is a method where dividends are paid in the form of stocks to shareholders. It is not a true dividend because it is not paid in cash. It is commonly expressed as a percentage. The impacts of stock dividend are: 1. Increase in the number of shares outstanding. 2. Decrease in the worth of shares. Stock dividends of 20 to 25% are called small stock dividends. Any larger stock dividend is called large stock dividend. To estimate the number of shares each shareholder will receive after stock dividend: 1 π π‘πππ πππ£πππππ % Therefore, the shareholder will receive 1 share for each # of shares resulted in the above equation. Q22: Define stock split and reverse stock splits. Compare the impacts. Stock split is when a company declares a split in its shares to create additional shares. the split majorly expressed as a ratio. Firms do stock splits to increase the company’s investors base and to enhance the marketability and liquidity of the share. the disadvantages of the stock splits are the volatility in prices, risk of price fall, complexity, and costs. Reverse stock split is the opposite of the conventional stock splits. Firms do reverse stock splits to reduce shareholders transaction costs and bring back stock to minimum price requirements. The disadvantages are value fall, reduced liquidity, and minority rights. Market capitalization Demand for the stock Share price Number of shares Earnings per share Dividends per share Stock Splits Constant Increase Decrease Increase Decrease Decrease Page 49 of 56 Reverse Stock Splits Constant Decrease Increase Decrease Increase Increase Q23: Compare the stock dividend and stock split. Both have the same impacts where shares outstanding increases and the share worth decrease. Yet, the accounting treatment is not the same. NOTE (6): The dividend policy of a firm is irrelevant in a perfect capital market because the shareholder can effectively undo the firm’s dividend strategy. If a shareholder receives a greater dividend than desired, he or she can reinvest the excess. Conversely, if the shareholder receives a smaller dividend than desired, he or she can sell off extra shares of stock. This argument is due to MM and is similar to their homemade leverage concept, discussed in a previous chapter. NOTE (7): Stockholders will be indifferent between dividends and share repurchases in a perfect capital market. NOTE (8): Forms of cash dividends are regular cash dividends, extra dividends, special dividends, and liquidating dividends. While alternatives of cash dividends are stock repurchase, stock dividends, and stock splits. NOTE (9): The irrelevance of dividends policy states that dividend policy will have no impact over the value of the firm because investors can create whatever income stream they prefer by homemade dividends. Therefore, firms should never forgo positive NPV projects to increase/pay dividends. NOTE (10): The clientele effect separate investors into different categories in terms of dividend preferences. Once the clientele effect has been satisfied, a corporation is unlikely to create value by changing its dividend policy. Page 50 of 56 Page 51 of 56 Chapter 19 Problems Page 52 of 56 Page 53 of 56 Page 54 of 56 Page 55 of 56 Page 56 of 56