公司理财(英文版)题库6
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CHAPTER 6 Stock Valuation
I. DEFINITIONS
GROWING PERPETUITY
a 1. An asset characterized by cash flows that increase at a constant rate forever is called a: a. growing perpetuity. b. growing annuity. c. common annuity. d. perpetuity due. e. preferred stock. Difficulty level: Easy
DIVIDEND GROWTH MODEL
b 2. The stock valuation model that determines the current stock price by dividing the next annual
dividend amount by the excess of the discount rate less the dividend growth rate is called the _____ model.
a. zero growth b. dividend growth c. capital pricing d. earnings capitalization e. discounted dividend Difficulty level: Easy
DIVIDEND YIELD
c 3. Next year’s annual dividend divided by the current stock price is called the: a. yield to maturity. b. total yield. c. dividend yield. d. capital gains yield. e. earnings yield. Difficulty level: Easy
CAPITAL GAINS YIELD
d 4. The rate at which a stock’s price is expected to appreciate (or depreciate) is called the _____
yield.
a. current b. total c. dividend d. capital gains e. earnings Difficulty level: Easy
PREFERRED STOCK
d 5.
a. b. c. d. e. Difficulty level: Easy
PREFERRED STOCK
e 6. A _____ is a form of equity security that has a stated liquidating value. a. bond b. debenture c. proxy d. common stock e. preferred stock Difficulty level: Medium
COMMON STOCK
e 7. A form of equity which receives no preferential treatment in either the payment of dividends or
in bankruptcy distributions is called _____ stock.
a. dual class b. cumulative c. deferred d. preferred e. common Difficulty level: Easy
CUMULATIVE VOTING
b 8. The voting procedure whereby shareholders may cast all of their votes for one member of the
board is called _____ voting.
a. democratic b. cumulative c. straight d. deferred e. proxy Difficulty level: Easy
STRAIGHT VOTING
c 9. The voting procedure where you must own 50% plus one of the outstanding shares of stock to
guarantee that you will win a seat on the board of directors is called _____ voting.
a. democratic b. cumulative c. straight d. deferred e. proxy
A form of equity which receives preferential treatment in the payment of dividends is called _____ stock. dual class cumulative deferred preferred common
Difficulty level: Easy
PROXY VOTING
e 10. The voting procedure where a shareholder grants authority to another individual to vote his/her
shares is called _____ voting.
a. democratic b. cumulative c. straight d. deferred e. proxy Difficulty level: Easy
PREEMPTIVE RIGHTS
b 11. Preemptive rights refer to the right of shareholders to: a. share proportionately in dividends paid. b. share proportionately in any new stock issues sold. c. share proportionately in liquidated assets. d. vote at annual shareholder meetings. e. override the votes of other shareholders. Difficulty level: Medium
DIVIDENDS
c 12. Payments made by a corporation to its shareholders, in the form of either cash, stock or
payments in kind, are called:
a. retained earnings. b. net income. c. dividends. d. redistributions. e. infused equity. Difficulty level: Easy
PRIMARY MARKET
e 13. The market in which new securities are originally sold to investors is called the _____ market. a. dealer b. auction c. over-the-counter d. secondary e. primary Difficulty level: Easy
SECONDARY MARKET
d 14. The market in which previously issued securities are traded among investors is called the _____
market.
a. dealer b. auction c. over-the-counter d. secondary
e. primary Difficulty level: Easy
DEALER
e 15. An agent who buys and sells securities from inventory is called a: a. broker. b. trader. c. capitalist. d. principal. e. dealer. Difficulty level: Easy
BROKER
a 16. An agent who arranges security transactions among investors is called a: a. broker. b. trader. c. capitalist. d. principal. e. dealer. Difficulty level: Easy
NYSE MEMBER
b 17. The owner of a seat on the New York Stock Exchange is called a(n) _____ of the exchange. a. friend b. member c. agent d. trustee e. dealer Difficulty level: Easy
SPECIALIST
c 18. A member of the New York Stock Exchange acting as a dealer in one or more securities on the
exchange floor is called a:
a. floor trader. b. floor post. c. specialist. d. floor broker. e. commission broker. Difficulty level: Easy
FLOOR BROKER
d 19. A member of the New York Stock Exchange who executes orders for commission brokers on a
fee basis is a:
a. floor trader. b. dealer. c. specialist.
d. floor broker. e. floor agent. Difficulty level: Easy
COMMISSION BROKER
e 20. A member of the New York Stock Exchange who executes buy and sell orders from customers
once transmitted to the exchange floor is called a:
a. floor trader. b. dealer. c. specialist. d. floor broker. e. commission broker. Difficulty level: Easy
FLOOR TRADER
a 21. A member of the New York Stock Exchange who trades for his or her own account, trying to
anticipate temporary price fluctuations, is called a(n):
a. floor trader. b. exchange customer. c. specialist. d. floor broker. e. commission broker. Difficulty level: Easy
SUPERDOT SYSTEM
b 22. The electronic system used by the New York Stock Exchange which enables orders to be
transmitted directly to a specialist is called the ______ system..
a. NASDAQ b. SuperDOT c. Instinet d. Internet e. brokerage. Difficulty level: Easy
ORDER FLOW
c 23. The ________ has a multiple market maker system rather than a specialist system. a. NYSE. b. AMEX. c. NASDAQ. d. NIKKEI e. None of the above. Difficulty level: Easy
OVER-THE-COUNTER MARKET
c 24. A securities market primarily comprised of dealers who buy and sell for their own inventories
is generally referred to as a(n) ______ market.
a. auction b. private c. over-the-counter d. regional e. electronic network Difficulty level: Easy
ECNs
d 25. Electronic communications networks, or ECNs, act to: a. increase liquidity. b. increase competition. c. increase the cost to invest. d. A & B. e. A & C. Difficulty level: Medium
II. CONCEPTS
VALUATION OF ZERO GROWTH STOCK
c 26. The James River Co. pays an annual dividend of $1.50 per share on its common stock. This dividend amount has been constant for the past 15 years and is expected to remain constant. Given this, one share of James River Co. stock: a. is basically worthless as it offers no growth potential. b. has a market value equal to the present value of $1.50 paid one year from today. c. is valued as if the dividend paid is a perpetuity. d. is valued with an assumed growth rate of 3%. e. has a market value of $15.00. Difficulty level: Easy
VALUATION OF ZERO GROWTH STOCK
e 27. The common stock of the Kenwith Co. pays a constant annual dividend. Thus, the market price
of Kenwith stock will:
a. also remain constant. b. increase over time. c. decrease over time. d. increase when the market rate of return increases. e. decrease when the market rate of return increases. Difficulty level: Easy
DIVIDEND YIELD VS. CAPITAL GAINS YIELD
c 28. The Koster Co. currently pays an annual dividend of $1.00 and plans on increasing that amount
by 5% each year. The Keyser Co. currently pays an annual dividend of $1.00 and plans on increasing their dividend by 3% annually. Given this, it can be stated with certainty that the _____ of the Koster Co. stock is greater than the _____ of the Keyser Co. stock.
a. market price; market price b. dividend yield; dividend yield c. rate of capital gain; rate of capital gain
d. total return; total return e. capital gains; dividend yield Difficulty level: Medium
DIVIDEND GROWTH MODEL d 29. The dividend growth model: I. assumes that dividends increase at a constant rate forever. II. can be used to compute a stock price at any point of time. III. states that the market price of a stock is only affected by the amount of the dividend. IV. considers capital gains but ignores the dividend yield. a. I only b. II only c. III and IV only d. I and II only e. I, II, and III only Difficulty level: Medium
DIVIDEND GROWTH MODEL
b 30. The underlying assumption of the dividend growth model is that a stock is worth: a. the same amount to every investor regardless of their desired rate of return. b. the present value of the future income which the stock generates. c. an amount computed as the next annual dividend divided by the market rate of return. d. the same amount as any other stock that pays the same current dividend and has the same
required rate of return.
e. an amount computed as the next annual dividend divided by the required rate of return. Difficulty level: Medium
DIVIDEND GROWTH MODEL
c 31. Assume that you are using the dividend growth model to value stocks. If you expect the market
rate of return to increase across the board on all equity securities, then you should also expect the:
a. market values of all stocks to increase, all else constant. b. market values of all stocks to remain constant as the dividend growth will offset the increase in the market rate. c. market values of all stocks to decrease, all else constant. d. stocks that do not pay dividends to decrease in price while the dividend-paying stocks maintain
a constant price.
e. dividend growth rates to increase to offset this change. Difficulty level: Medium
DIFFERENTIAL GROWTH
c 32. Latcher’s Inc. is a relatively new firm that is still in a period of rapid development. The company plans on retaining all of its earnings for the next six years. Seven years from now, the company projects paying an annual dividend of $.25 a share and then
increasing that amount by 3% annually thereafter. To value this stock as of today, you would most likely determine the value of the stock _____ years from today before determining today’s value.
a. 4 b. 5 c. 6 d. 7 e. 8 Difficulty level: Medium
DIFFERENTIAL GROWTH
d 33. The Robert Phillips Co. currently pays no dividend. The company is anticipating dividends of $0, $0, $0, $.10, $.20, and $.30 over the next 6 years, respectively. After
that, the company anticipates increasing the dividend by 4% annually. The first step in
computing the value of this stock today, is to compute the value of the stock when it reaches constant growth in year:
a. 3. b. 4. c. 5. d. 6. e. 7. Difficulty level: Medium
DIFFERENTIAL GROWTH
b 34. Supernormal growth refers to a firm that increases its dividend by: a. three or more% per year. b. a rate which is most likely not sustainable over an extended period of time. c. a constant rate of 2 or more% per year. d. $.10 or more per year. e. an amount in excess of $.10 a year. Difficulty level: Medium
DIVIDEND YIELD AND CAPITAL GAINS
e 35. The total rate of return earned on a stock is comprised of which two of the following? I. current yield II. yield to maturity III. dividend yield IV. capital gains yield a. I and II only b. I and IV only c. II and III only d. II and IV only e. III and IV only Difficulty level: Medium
DIVIDEND YIELD
c 36. The total rate of return on a stock can be positive even when the price of the stock depreciates
because of the:
a. capital appreciation. b. interest yield.
c. dividend yield. d. supernormal growth. e. real rate of return. Difficulty level: Medium
DIVIDEND YIELD AND CAPITAL GAINS
c 37. Fred Flintlock wants to earn a total of 10% on his investments. He recently purchased shares of
ABC stock at a price of $20 a share. The stock pays a $1 a year dividend. The price of ABC stock needs to _____ if Fred is to achieve his 10% rate of return.
a. remain constant b. decrease by 5% c. increase by 5% d. increase by 10% e. increase by 15% Difficulty level: Medium
DIVIDEND GROWTH MODEL
d 38. Which one of the following correctly defines the dividend constant growth model? a. P0 = D0 ? (R-g) b. D = P0 ? (R-g) c. R = (P0 ? D0) + g d. R = (D1 ? P0) + g e. P0 = (D1 ? R) + g Difficulty level: Medium
SHAREHOLDER RIGHTS
a 39. Shareholders generally have the right to: I. elect the corporate directors. II. select the senior management of the firm. III. elect the chief executive officer (CEO). IV. elect the chief operating officer (COO). a. I only b. I and III only c. II only d. I and II only e. III and IV only Difficulty level: Medium
CUMULATIVE VOTING
c 40. Jack owns 35 shares of stock in Beta, Inc. and wants to exercise as much control as possible
over the company. Beta, Inc. has a total of 100 shares of stock outstanding. Each share receives one vote. Presently, the company is voting to elect two new directors. Which one of the following statements must be true given this information?
a. If straight voting applies, Jack is assured one seat on the board. b. If straight voting applies, Jack can control both open seats. c. If cumulative voting applies, Jack is assured one seat on the board.
d. e.
If cumulative voting applies, Jack can control both open seats.
Regardless of the type of voting employed, Jack does not own enough shares to control any of the seats.
Difficulty level: Medium
STRAIGHT VOTING
a 41. ABC Co. is owned by a group of shareholders who all vote independently and who all want
personal control over the firm. If straight voting is utilized, a shareholder:
a. must either own enough shares to totally control the elections or else he/she has no control
whatsoever.
b. will be able to elect at least one director as long as there are at least three open positions and the
shareholder owns at least 25% plus one of the outstanding shares.
c. must own at least two-thirds of the shares, plus one, to exercise control over the elections. d. is only permitted to elect one director, regardless of the number of shares owned. e. who owns more shares than anyone else, regardless of the number of shares owned, will control
the elections.
Difficulty level: Medium
PROXY VOTING
e 42. The Zilo Corp. has 1,000 shareholders and is preparing to elect three new board members. You
do not own enough shares to control the elections but are determined to oust the current leadership. The most likely result of this situation is a:
a. negotiated settlement where you are granted control over one of the three open positions. b. legal battle for control of the firm based on your discontent as an individual shareholder. c. arbitrated settlement whereby you are granted control over one of the three open positions. d. total loss of power for you since you are a minority shareholder. e. proxy fight for control of the firm. Difficulty level: Medium
SHAREHOLDER RIGHTS
e 43. Common stock shareholders are generally granted rights which include the right to: I. share in company profits. II. vote for company directors. III. vote on proposed mergers. IV. residual assets in a liquidation. a. I and II only b. II and III only c. I and IV only d. I, II, and IV only e. I, II, III, and IV Difficulty level: Medium
DIVIDENDS
e 44. The Scott Co. has a general dividend policy whereby they pay a constant annual dividend of $1
per share of common stock. The firm has 1,000 shares of stock outstanding. The company:
a. must always show a current liability of $1,000 for dividends payable. b. is obligated to continue paying $1 per share per year.
c. d.
e. Difficulty level: Medium
DIVIDENDS
b 45. The dividends paid by a corporation: I. to an individual become taxable income of that individual. II. reduce the taxable income of the corporation. III. are declared by the chief financial officer of the corporation. IV. to another corporation may or may not represent taxable income to the recipient. a. I only b. I and IV only c. II and III only d. I, II, and IV only e. I, III, and IV only Difficulty level: Medium
PREFERRED STOCK
a 46. The owner of preferred stock: a. is entitled to a distribution of income prior to the common shareholders. b. has the right to veto the outcome of an election held by the common shareholders. c. has the right to declare the company bankrupt whenever there are insufficient funds to pay dividends to the common shareholders. d. receives tax-free dividends if they are an individual and own more than 20% of the outstanding preferred shares. e. has the right to collect payment on any unpaid dividends as long as the stock is noncumulative preferred. Difficulty level: Medium
PREFERRED STOCK
b 47. A 6% preferred stock pays _____ a year in dividends per share. a. $3 b. $6 c. $12 d. $30 e. $60 Difficulty level: Easy
PREFERRED STOCK
e 48. Which one of the following statements concerning preferred stock is correct? a. Unpaid preferred dividends are a liability of the firm. b. Preferred dividends must be paid quarterly provided the firm has net income that exceeds the
amount of the quarterly dividend.
will be declared in default and can face bankruptcy if they do not pay $1 per year to each shareholder on a timely basis.
has a liability which must be paid at a later date should the company miss paying an annual dividend payment.
must still declare each dividend before it becomes an actual company liability.
c. d. e.
Preferred dividends must be paid timely each quarter or the unpaid dividends start accruing interest.
All unpaid dividends on preferred stock, regardless of the type of preferred, must be paid before any income can be distributed to common shareholders.
Preferred shareholders may be granted voting rights and seats on the board if preferred dividend payments remain unpaid.
Difficulty level: Medium
PREFERRED STOCK
e 49. In a liquidation, each share of 5% preferred stock is generally entitled to a liquidation payment
of _____ as long as there are sufficient funds available.
a. $1 b. $5 c. $10 d. $50 e. $100 Difficulty level: Medium
COMMON STOCK VALUES
c 50. The value of common stock today depends on
a. the expected future holding period and the discount rate. b. the expected future dividends and the capital gains.
c. the expected future dividends, capital gains and the discount rate. d. the expected future holding period and capital gains. e. None of the above. Difficulty level: Medium
PRIMARY MARKET
d 51. Which one of the following transactions occurs in the primary market? a. the sale of ABC stock by Fred Jones to Mary Smith b. the tax-free gift of DEF stock to Heather by Jennifer c. the repurchase of GHI stock from Tim by GHI d. the initial sale of JKL stock by JKL to Jamie e. the transfer of MNO stock from Tom to his son, Jon Difficulty level: Medium
DEALERS AND BROKERS
d 52. Which one of the following statements concerning dealers and brokers is correct? a. A dealer in market securities arranges sales between buyers and sellers for a fee. b. A dealer in market securities pays the asked price when purchasing securities. c. A broker in market securities earns income in the form of a bid-ask spread. d. A broker does not take ownership of the securities being traded. e. A broker deals solely in the primary market. Difficulty level: Easy
PERPETUITY FORMULA
d
53. a. b. c. d. e. The formula Po = DIV/r represents
the present value of a stream of zero growth dividends in perpetuity. the value of a no growth dividend stream.
a lower value than if a growth element was included. All of the above. None of the above.
Difficulty level: Easy
SPECIALIST’S POST
b 54. The post is a stationary position on the floor of the New York Stock Exchange where a _____ is
assigned to work.
a. floor trader b. specialist c. dealer d. floor broker e. commission broker Difficulty level: Medium
STOCK MARKET REPORTING
d 55. The closing price of a stock is quoted at 22.87, with a P/E of 26 and a net change of 1.42. Based on this information, which one of the following statements is correct? a. The closing price on the previous day was $1.42 higher than today’s closing price. b. A dealer will buy the stock at $22.87 and sell it at $26 a share. c. The stock increased in value between yesterday’s close and today’s close by $.0142. d. The earnings per share are equal to 1/26th of $22.87. e. The earnings per share have increased by $1.42 this year. Difficulty level: Medium
STOCK QUOTE
b 56. A stock listing contains the following information: P/E 17.5, closing price 33.10, dividend .80, YTD% chg 3.4, and a net chg of -.50. Which of the following statements are correct given this information? I. The stock price has increased by 3.4% during the current year. II. The closing price on the previous trading day was $32.60. III. The earnings per share are approximately $1.89. IV. The current yield is 17.5%. a. I and II only b. I and III only c. II and III only d. III and IV only e. I, III, and IV only Difficulty level: Medium
DISCOUNT RATE
b 57. The discount rate in equity valuation is composed entirely of a. the dividends paid and the capital gains yield. b. the dividend yield and the growth rate.
c. d. e. the dividends paid and the growth rate.
the capital gains earned and the growth rate. the capital gains earned and the dividends paid.
Difficulty level: Medium
NPVGO
b 58. The net present value of a growth opportunity, NPVGO, can be defined as a. the present value of an investment in one new project.
b. the steady growth in dividends from continual re-investment with positive NPV. c. continual reinvestment of earnings when r < g. d. a single period investment when r > g. e. None of the above.
Difficulty level: Medium
III. PROBLEMS
STOCK VALUE – CONSTANT GROWTH
e 59. Angelina’s made two announcements concerning their common stock today. First, the company announced that their next annual dividend has been set at $2.16 a share. Secondly, the company announced that all future dividends will increase by 4% annually. What is the maximum amount you should pay to purchase a share of Angelina’s stock if your goal is to earn a 10% rate of return? a. $21.60 b. $22.46 c. $27.44 d. $34.62 e. $36.00 Difficulty level: Easy
STOCK VALUE – CONSTANT GROWTH
d 60. How much are you willing to pay for one share of stock if the company just paid an $.80 annual dividend, the dividends increase by 4% annually and you require an 8% rate of return? a. $19.23 b. $20.00 c. $20.40 d. $20.80 e. $21.63 Difficulty level: Easy
STOCK VALUE – CONSTANT GROWTH
d 61. Lee Hong Imports paid a $1.00 per share annual dividend last week. Dividends are expected to increase by 5% annually. What is one share of this stock worth to you today if the appropriate discount rate is 14%? a. $7.14 b. $7.50
c. $11.11 d. $11.67 e. $12.25 Difficulty level: Easy
STOCK VALUE - CONSTANT GROWTH
c 62. Majestic Homes stock traditionally provides an 8% rate of return. The company just paid a $2 a year dividend which is expected to increase by 5% per year. If you are planning on buying 1,000 shares of this stock next year, how much should you expect to pay per share if the market rate of return for this type of security is 9% at the time of your purchase? a. $48.60 b. $52.50 c. $55.13 d. $57.89 e. $70.00 Difficulty level: Easy
STOCK VALUE - CONSTANT GROWTH
c 63. Leslie’s Unique Clothing Stores offers a common stock that pays an annual dividend of $2.00 a share. The company has promised to maintain a constant dividend. How much are you willing to pay for one share of this stock if you want to earn 12% return on your equity investments? a. $10.00 b. $13.33 c. $16.67 d. $18.88 e. $20.00 Difficulty level: Easy
STOCK VALUE – DIFFERENTIAL GROWTH
b 64. Martin’s Yachts has paid annual dividends of $1.40, $1.75, and $2.00 a share over the past three years, respectively. The company now predicts that it will maintain a constant dividend since its business has leveled off and sales are expected to remain relatively constant. Given the lack of future growth, you will only buy this stock if you can earn at least a 15% rate of return. What is the maximum amount you are willing to pay to buy one share of this stock today? a. $10.00 b. $13.33 c. $16.67 d. $18.88 e. $20.00 Difficulty level: Medium
REQUIRED RETURN
c 65. The common stock of Eddie’s Engines, Inc. sells for $25.71 a share. The stock is expected to pay $1.80 per share next month when the annual dividend is distributed.
Eddie’s has established a pattern of increasing their dividends by 4% annually and expects to continue doing so. What is the market rate of return on this stock? a. 7% b. 9% c. 11% d. 13% e. 15% Difficulty level: Medium
REQUIRED RETURN
a 66. The current yield on Alpha’s common stock is 4.8%. The company just paid a $2.10 dividend. The rumor is that the dividend will be $2.205 next year. The dividend growth rate is expected to remain constant at the current level. What is the required rate of return on Alpha’s stock? a. 10.04% b. 16.07% c. 21.88% d. 43.75% e. 45.94% Difficulty level: Medium
REQUIRED RETURN
e 67. Martha’s Vineyard recently paid a $3.60 annual dividend on their common stock. This dividend increases at an average rate of 3.5% per year. The stock is currently selling for $62.10 a share. What is the market rate of return? a. 2.5% b. 3.5% c. 5.5% d. 6.0% e. 9.5% Difficulty level: Medium
REQUIRED RETURN
d 68. Bet’R Bilt Bikes just announced that their annual dividend for this coming year will be $2.42 a share and that all future dividends are expected to increase by 2.5% annually. What is the market rate of return if this stock is currently selling for $22 a share? a. 9.5% b. 11.0% c. 12.5% d. 13.5% e. 15.0% Difficulty level: Medium
DIVIDEND YIELD VS. CAPITAL GAINS YIELD
b 69. Shares of common stock of the Samson Co. offer an expected total return of 12%. The dividend
is increasing at a constant 8% per year. The dividend yield must be:
a. - 4%. b. 4%. c. 8%. d. 12%. e. 20%. Difficulty level: Medium
CAPITAL GAIN
c 70. The common stock of Grady Co. returned an 11.25% rate of return last year.
The dividend amount was $.70 a share which equated to a dividend yield of 1.5%. What was the rate of price appreciation on the stock?
a. 1.50% b. 8.00% c. 9.75% d. 11.25% e. 12.75% Difficulty level: Easy
DIVIDEND AMOUNT
b 71. Weisbro and Sons common stock sells for $21 a share and pays an annual dividend that
increases by 5% annually. The market rate of return on this stock is 9%. What is the amount of the last dividend paid by Weisbro and Sons?
a. $.77 b. $.80 c. $.84 d. $.87 e. $.88 Difficulty level: Medium
DIVIDEND AMOUNT
d 72. The common stock of Energizer’s pays an annual dividend that is expected to increase by
10% annually. The stock commands a market rate of return of 12% and sells for $60.50 a share. What is the expected amount of the next dividend to be paid on Energizer’s common stock?
a. $.90 b. $1.00 c. $1.10 d. $1.21 e. $1.33 Difficulty level: Medium
DIVIDEND AMOUNT
d 73. The Reading Co. has adopted a policy of increasing the annual dividend on their common stock
at a constant rate of 3% annually. The last dividend they paid was $0.90 a share. What will their dividend be in six years?
a. $.90 b. $.93 c. $1.04
d. $1.07 e. $1.11 Difficulty level: Medium
CONSTANT DIVIDEND
e 74. A stock pays a constant annual dividend and sells for $31.11 a share. If the rate of return on this
stock is 9%, what is the dividend amount?
a. $1.40 b. $1.80 c. $2.20 d. $2.40 e. $2.80 Difficulty level: Medium
CONSTANT DIVIDEND
b 75. You have decided that you would like to own some shares of GH Corp. but need an
expected 12% rate of return to compensate for the perceived risk of such ownership. What is the maximum you are willing to spend per share to buy GH stock if the company pays a constant $3.50 annual dividend per share?
a. $26.04 b. $29.17 c. $32.67 d. $34.29 e. $36.59 Difficulty level: Medium
GROWTH DIVIDEND
e 76. Turnips and Parsley common stock sells for $39.86 a share at a market rate of return of 9.5%. The company just paid their annual dividend of $1.20. What is the rate of growth of their dividend? a. 5.2% b. 5.5% c. 5.9% d. 6.0% e. 6.3% Difficulty level: Medium
GROWTH DIVIDEND
c 77. B&K Enterprises will pay an annual dividend of $2.08 a share on their common stock next week. Last year, the company paid a dividend of $2.00 a share. The company adheres to a constant rate of growth dividend policy. What will one share of B&K common stock be worth ten years from now if the applicable discount rate is 8 %? a. $71.16 b. $74.01 c. $76.97 d. $80.05
e. $83.25 Difficulty level: Challenge
GROWTH DIVIDEND
d 78. Wilbert’s Clothing Stores just paid a $1.20 annual dividend. The company has a policy whereby the dividend increases by 2.5% annually. You would like to purchase 100 shares of stock in this firm but realize that you will not have the funds to do so for another three years. If you desire a 10% rate of return, how much should you expect to pay for 100 shares when you can afford to buy this stock? Ignore trading costs. a. $1,640 b. $1,681 c. $1,723 d. $1,766 e. $1,810 Difficulty level: Medium
GROWTH DIVIDEND
b 79. The Merriweather Co. just announced that they are increasing their annual dividend to $1.60 and establishing a policy whereby the dividend will increase by 3.5% annually thereafter. How much will one share of this stock be worth five years from now if the required rate of return is 12%? a. $21.60 b. $22.36 c. $23.14 d. $23.95 e. $24.79 Difficulty level: Medium
GROWTH DIVIDEND
b 80. Shares of the Katydid Co. common stock are currently selling for $27.73. The last dividend paid was $1.60 per share. The market rate of return is 10%. At what rate is the dividend growing? a. 2.50% b. 4.00% c. 5.98% d. 13.05% e. 14.91% Difficulty level: Medium
DIFFERENTIAL GROWTH
c 81. The Bell Weather Co. is a new firm in a rapidly growing industry. The company is planning on increasing its annual dividend by 20% a year for the next four years and then decreasing the growth rate to 5% per year. The company just paid its annual dividend in the amount of $1.00 per share. What is the current value of one share of this stock if the required rate of return is 9.25%? a. $35.63
b. $38.19 c. $41.05 d. $43.19 e. $45.81 Difficulty level: Challenge
DIFFERENTIAL GROWTH
c 82. The Extreme Reaches Corp. last paid a $1.50 per share annual dividend. The company is planning on paying $3.00, $5.00, $7.50, and $10.00 a share over the next four years, respectively. After that the dividend will be a constant $2.50 per share per year. What is the market price of this stock if the market rate of return is 15%? a. $17.04 b. $22.39 c. $26.57 d. $29.08 e. $33.71 Difficulty level: Challenge
DIFFERENTIAL GROWTH
d 83. Can’t Hold Me Back, Inc. is preparing to pay their first dividends. They are
going to pay $1.00, $2.50, and $5.00 a share over the next three years, respectively. After that,
the company has stated that the annual dividend will be $1.25 per share indefinitely. What is this stock worth to you per share if you demand a 7% rate of return?
a. $7.20 b. $14.48 c. $18.88 d. $21.78 e. $25.06 Difficulty level: Challenge
DIFFERENTIAL GROWTH DIVIDENDS
c 84. NU YU announced today that they will begin paying annual dividends. The first dividend will be paid next year in the amount of $.25 a share. The following dividends will be $.40, $.60, and $.75 a share annually for the following three years, respectively. After that, dividends are projected to increase by 3.5% per year. How much are you willing to pay to buy one share of this stock if your desired rate of return is 12 %? a. $1.45 b. $5.80 c. $7.25 d. $9.06 e. $10.58 Difficulty level: Challenge
DIFFERENTIAL GROWTH DIVIDENDS
b 85. Now or Later, Inc. recently paid $1.10 as an annual dividend. Future dividends are projected at $1.14, $1.18, $1.22, and $1.25 over the next four years, respectively.
Beginning five years from now, the dividend is expected to increase by 2% annually. What is one share of this stock worth to you if you require an 8% rate of return on similar investments? a. $15.62 b. $19.57 c. $21.21 d. $23.33 e. $25.98 Difficulty level: Challenge
DIFFERENTIAL GROWTH DIVIDENDS
b 86. The Red Bud Co. pays a constant dividend of $1.20 a share. The company announced today that they will continue to do this for another 3 years after which time they will discontinue paying dividends permanently. What is one share of this stock worth today if the required rate of return is 7%? a. $2.94 b. $3.15 c. $3.23 d. $3.44 e. $3.60 Difficulty level: Challenge
DIFFERENTIAL GROWTH DIVIDENDS
b 87. Bill Bailey and Sons pays no dividend at the present time. The company plans to start paying an annual dividend in the amount of $.30 a share for two years commencing two years from today. After that time, the company plans on paying a constant $1 a share dividend indefinitely. How much are you willing to pay to buy a share of this stock if your required return is 14%? a. $4.82 b. $5.25 c. $5.39 d. $5.46 e. $5.58 Difficulty level: Challenge
DIFFERENTIAL GROWTH DIVIDENDS
a 88. The Lighthouse Co. is in a downsizing mode. The company paid a $2.50 annual dividend last year. The company has announced plans to lower the dividend by $.50 a year. Once the dividend amount becomes zero, the company will cease all dividends permanently. You place a required rate of return of 16% on this particular stock given the company’s situation. What is one share of this stock worth to you today? a. $3.76 b. $4.08 c. $4.87 d. $5.13 e. $5.39 Difficulty level: Challenge
DIFFERENTIAL GROWTH DIVIDENDS
e 89. Mother and Daughter Enterprises is a relatively new firm that appears to be on the road to great success. The company paid their first annual dividend yesterday in the amount of $.28 a share. The company plans to double each annual dividend payment for the next three years. After that time, they are planning on paying a constant $1.50 per share indefinitely. What is one share of this stock worth today if the market rate of return on similar securities is 11.5%? a. $9.41 b. $11.40 c. $11.46 d. $11.93 e. $12.43 Difficulty level: Challenge
DIFFERENTIAL GROWTH DIVIDENDS
a 90. BC ‘n D just paid their annual dividend of $.60 a share. The projected dividends for the next
five years are $.30, $.50, $.75, $1.00, and $1.20, respectively. After that time, the dividends will be held constant at $1.40. What is this stock worth today at a 6% discount rate?
a. $20.48 b. $20.60 c. $21.02 d. $21.28 e. $21.43 Difficulty level: Challenge
DIFFERENTIAL GROWTH DIVIDENDS
b 91. Beaksley, Inc. is a very cyclical type of business which is reflected in their dividend policy. The
firm pays a $2.00 a share dividend every other year. The last dividend was paid last year. Five years from now, the company is repurchasing all of the outstanding shares at a price of $50 a share. At an 8% rate of return, what is this stock worth today?
a. $34.03 b. $37.21 c. $43.78 d. $48.09 e. $53.18 Difficulty level: Challenge
NEGATIVE GROWTH
a 92. Last week, Railway Cabooses paid their annual dividend of $1.20 per share. The company has
been reducing the dividends by 10% each year. How much are you willing to pay to purchase stock in this company if your required rate of return is 14%?
a. $4.50 b. $7.71 c. $10.80 d. $15.60 e. $27.00
Difficulty level: Medium
NEGATIVE GROWTH
b 93. Nu-Tek, Inc. is expecting a period of intense growth so have decided to retain more of their
earnings to help finance that growth. As a result they are going to reduce their annual dividend by 10% a year for the next three years. After that they will maintain a constant dividend of $.70 a share. Last year, the company paid $1.80 per share. What is the market value of this stock if the required rate of return is 13%?
a. $6.79 b. $7.22 c. $8.22 d. $8.87 e. $9.01 Difficulty level: Challenge
NEGATIVE GROWTH
c 94. The Double Dip Co. is expecting their ice cream sales to decline due to the increased interest in healthy eating. Thus, the company has announced that they will be reducing their annual dividend by 5% a year for the next two years. After that, they will maintain a constant dividend of $1 a share. Last year, the company paid $1.40 per share. What is this stock worth to you if you require a 9% rate of return? a. $10.86 b. $11.11 c. $11.64 d. $12.98 e. $14.23 Difficulty level: Challenge
PREFERRED STOCK
d 95. Butterup’s ‘N More wants to offer some preferred stock that pays an annual dividend of $2.00 a
share. The company has determined that stocks with similar characteristics provide a 9% rate of return. What price should Butterup’s expect to receive per share for this stock offering?
a. $18.35 b. $20.00 c. $21.80 d. $22.22 e. $24.22 Difficulty level: Easy
PREFERRED STOCK
c 96. The preferred stock of North Coast Shoreline pays an annual dividend of $1.70 and sells for $20.24 a share. What is the rate of return on this security? a. 5.95% b. 7.08% c. 8.40% d. 11.90% e. 14.17%
Difficulty level: Easy
PREFERRED STOCK
a 97. Jim owns shares of Abco, Inc. preferred stock which he says provides him with a constant 6.58% rate of return. The stock is currently priced at $45.60 a share. What is the amount of the dividend per share? a. $3.00 b. $3.15 c. $3.50 d. $3.54 e. $3.62 Difficulty level: Easy
PREFERRED STOCK
b 98. You want to earn a 12% rate of return. Panco, Inc. preferred stock pays a $4.50
annual dividend. What is the maximum price you are willing to pay for one share of this stock?
a. $32.50 b. $37.50 c. $39.00 d. $40.50 e. $45.00 Difficulty level: Medium
CONSTANT GROWTH STOCK VALUATION
d 99. Which of the following amounts is closest to what should be paid for Overland common stock?
Overland has just paid a dividend of $2.25. These dividends are expected to grow at a rate of 5% in the foreseeable future. The risk of this company suggests that future cash flows should be discounted at a rate of 11%.
a. $20.45 b. $21.48 c. $37.50 d. $39.38 e. $47.70 Difficulty level: Medium
STOCK VALUATION/PERPETUITY
b 100. What would be the maximum an investor should pay for the common stock of a firm that has
no growth opportunities but pays a dividend of $1.36 per year? The next dividend will be paid in exactly 1 year. The required rate of return is 12.5%.
a. $ 9.52 b. $10.88 c. $12.24 d. $17.00 e. None of the above. Difficulty level: Easy
CONSTANT GROWTH STOCK VALUATION
e 101. Mortgage Instruments Inc. is expected to pay dividends of $1.03 next year. The company just
paid dividends of $1. This growth rate is expected to continue. How much should be paid for Mortgage Instruments stock just after the dividend if the appropriate discount rate is 5%. a. $20.00 b. $21.50 c. $34.75 d. $50.00 e. $51.50
Difficulty level: Medium
DIFFERENTIAL STOCK VALUATION
c 102. The Felix Corp. projects to pay a dividend of $.75 next year and then have it grow at 12% for
the next 3 years before growing at 8% indefinitely thereafter. The equity has a required return of 10% in the market. The price of the stock should be ____ .
a. $ 9.375 b. $17.05 c. $41.39 d. $59.80 e. $62.38 Difficulty level: Challenge
FORECASTED DIVIDEND PAYMENT
b 103. If a company paid a dividend of $0.40 last year and they are expected to grow at 7% for the
next 6 years and then grow at 4% thereafter the dividend expected in year 8 is ___ .
a. $ 0.63 b. $ 0.65 c. $ 0.68 d. $ 0.69 e. $ 0.74 Difficulty level: Medium
REQUIRED RETURN
c 104. The Lory Company had net earnings of $127,000 this past year. Dividends were paid of
$38,100 on the company's equity of $1,587,500. If Lory has 100,000 shares outstanding with a current market price of $11.625 per share, what is the required rate of return?
a. 4.2% b. 6% c. 9% d. 14% e. None of the above. Difficulty level: Medium
DIFFERENTIAL GROWTH VALUATION
b 105. Doctors-On-Call, a newly formed medical group, is currently paying dividends of $.50. These
dividends are expected to grow at a 20% rate for the next 5 years and at a 3% rate thereafter. What is the value of the stock if the appropriate discount rate is 12%?
a. $ 8.08
b. $11.17 c. $14.22 d. $17.32 e. $30.90
Difficulty level: Challenge
DIFFERENTIAL GROWTH VALUATION
b 106. A stock you are interested in paid a dividend of $1 last year. The anticipated growth rate in
dividends and earnings is 20% for the next year and 10% the year after that before settling down to a constant 5% growth rate. The discount rate is 12%. Calculate the expected price of the stock.
a. $17.20 b. $17.90 c. $18.20 d. $19.40 e. $19.75 Difficulty level: Challenge
DIFFERENTIAL GROWTH VALUATION
c 107. A stock you are interested in paid a dividend of $1 last year. The anticipated growth rate in
dividends and earnings is 25% for the next 2 years before settling down to a constant 5% growth rate. The discount rate is 12%. Calculate the expected price of the stock.
a. $15.38 b. $20.50 c. $21.04 d. $22.27 e. $26.14 Difficulty level: Challenge
STOCK VALUATION
b 108. Which of the following values is closest to the amount that should be paid for a stock that will
pay a dividend of $10 in one year and $11 in two years? The stock will be sold in 2 years for an estimated price of $120. The appropriate discount rate is 9%.
a. $114.60 b. $119.40 c. $124.20 d. $129.50 e. $138.75
IV. ESSAYS
NYSE MEMBERS
109. List the four types of New York Stock Exchange members and give a brief definition of what each
member does. This is a simple listing question, the answer to which should include: 1. Commission broker: Executes customer orders to buy/sell stock as transmitted to the exchange
floor
2. Specialist (market maker): Acts as a dealer in a small number of securities on the exchange floor 3. Floor broker: Executes orders for commission brokers on a fee basis
4. Floor trader: Trades for their own account in an attempt to profit on temporary price fluctuations
NASDAQ VS. NYSE
110. What are the primary differences between NASDAQ and the NYSE? According to the basic information in the text, the NYSE has a physical location, while NASDAQ
does not. NASDAQ has multiple market makers while the NYSE utilizes specialists for each security traded. Also, NASDAQ is a dealer market while the NYSE utilizes brokers.
REQUIRED RETURN
111. What are the components of the required rate of return on a share of stock? Briefly explain each
component. The two components are dividend yield, which measures the annual percentage income return on a
stock, and the capital gains yield, which is the percentage of price appreciation or depreciation.
PREFERRED VS. COMMON STOCK
112. Briefly explain the differences between preferred and common stock. Common stockholders have the right to vote on corporate matters and have the right to receive the
residual value of the firm after all liabilities and preferred stockholders are paid in a liquidation. Preferred stockholders have a promised dividend, may or may not have the right to collect dividends that have been passed, and typically will be rated much like bonds. In a liquidation, preferred shareholders have a preference over common stockholders.
STOCKS VS. BONDS
113. Explain whether it is easier to find the required return on a publicly traded stock or a publicly traded
bond, and explain why. Bonds, unlike stocks, have a final maturity date and promised payments at fixed periods of time.
Thus, once an appropriate discount rate is established, valuing a bond is relatively simple. For stocks, the only valuation model we have up to this point in the text is the dividend growth model which requires estimation of a dividend growth rate and also requires that certain conditions be met before the dividend growth model can be applied. Normally, all of the information required to find the yield on a publicly traded bond is publicly available while only the price and the most current dividend are available for stocks.
ZERO-DIVIDEND STOCKS
114. A number of publicly traded firms pay no dividends yet investors are willing to buy shares in these
firms. How is this possible? Does this violate our basic principle of stock valuation? Explain. Our basic principle of stock valuation is that the value of a share of stock is simply equal to the
present value of all of the expected dividends on the stock. According to the dividend growth model, an asset that has no expected cash flows has a value of zero, so if investors are willing to purchase shares of stock in firms that pay no dividends, they evidently expect that the firms will begin paying dividends at some point in the future.
CLASSES OF STOCK
115. A firm has two classes of common stock outstanding: Class A, which carries voting rights of 10
votes per share but receives no dividends (ever), and Class B, which carries voting rights of 1 vote per share and pays dividends whenever they are declared by the board. Which would you be willing to pay more for and why? This is a very open-ended question to get the students thinking about the differing interests of
investors. Management of the firm would likely prefer Class A while investors interested in dividends would likely prefer Class B shares. The Class B shares with their ordinary voting rights and dividends can be valued using the dividend growth model but the Class A shares, whose value is derived completely from the voting rights, would be very difficult to value.
SOLUTIONS TO TEST BANK PROBLEMS
Chapter 6 59. 60. 61. 62. 63. 64. 65. 66.
P0?P0?P0?$2.16.10?.04; P0 = $36.00
; P0 = $20.80 ; P0 = $11.67 ; P1 = $55.13
$.80?(1?.04).08?.04.14?.05$1.00?(1?.05)P1?$2.00?(1?.05).09?.052P0?P0?$2.00.12$2.00.15; P0 = $16.67 ; P0 = $13.33
$1.80$25.71?R?.04; R = 11.00%
$2.205?$2.10$2.10.048 ? $2.10P0; P0 = $43.75; g?; g = .05;$43.75?$2.205R?.05;
R = 10.04%
67. 68. 69. 70. 71. 72. 73. 74. 75. 76. 77. 78.
$62.10$22.00??$3.60?(1?.035)R?.035$2.42R?.025; R = 9.5%
; R = 13.50%
.12?D1P0?.08;Dividend yield = 4%
g = .1125 - .015 = .0975 = 9.75%
$21?D0?(1?.05).09?.05D1.12?.106; D0 = $.80
$60.50?; D1 = $1.21
D6?$.90?(1.03); D6 = $1.07 D0?.09?$31.11; D0 = $2.80 P0?$3.50.12; P0 = $29.17
; g = 6.3%
$2.08?(1?.04).08?.0410$39.86?$1.20?(1?g).095?gg?$2.08?$2.00$2.00; g = .04; D10?4; D10 = $76.97
P3?$1.20?(1?.025).10?.025; P3 = $17.66; Purchase cost = 100 ? $17.66 = $1,766
79. 80. 81.
P5?$1.60?(1?.035).12?.0355; P5 = $22.36
1$27.73?$1.60?(1?g).10?g; g = 4.00%
Dividends for the first 4 years are: $1.20, $1.44, $1.728, and $2.0736.
P4?P0?$2.0736?(1?.05).0925?.05$1.20(1.0925)1;P4 = $51.2301
2?$1.44(1.0925)?$1.728(1.0925)3?$2.0736(1.0925)4?$51.2301(1.0925)4; P0 = $41.05
82.
P4?P0?$2.50.15$3.00(1.15)$1.25.07$1.00(1.07)11; P4 = $16.6667
?$5.00(1.15)2?$7.50(1.15)3?$10(1.15)4?$16.6667(1.15)4; P0 = $26.57
83.
P3?P0?; P3 = $17.85714
?$2.50(1.07)12?$5.00(1.07)3?$17.85714(1.07)3; P0 = $21.78
84. 85. 86. 87. 88.
P0?$2.00(1.16)1P4?$.75(1?.035).12?.035; P4 = $9.13235 P0?$.25(1.12)1?$.40(1.12)2?$.60(1.12)3?$.75(1.12)4?$9.13235(1.12)4;
P0= $7.25
P4?$1.25?(1?.02).08?.021; P4 = $21.25 P0?$1.14(1.08)1?$1.18(1.08)2?$1.22(1.08)3?$1.25(1.08)4?$21.25(1.08)4; P0
= $19.57
P0?$1.20(1.07)1?$1.20(1.07)2?$1.20(1.07)3; P0= $3.15
P3?$1.00.14; P3 = $7.142857; P0?$1.50(1.16)2$.30(1.14)$.50(1.16)42?$.30(1.14)3?$7.143(1.14)3; P0 = $5.25
??$1.00(1.16)3?; P0 = $3.76
89. 90. 91. 92. 93.
Dividends for the next three years are $.56, $1.12, and $2.24.
P3?$1.50.115; P3 = $13.04348; P0?$.56(1.115)1?$1.12(1.115)2?$2.24(1.115)3?$13.04348(1.115)3
P0 = $12.43
P5?$1.40.06; P5 = $23.333 P0?$.30(1.06)1?$.50(1.06)2?$.75(1.06)3?$1.00(1.06)4?$1.20(1.06)5?$23.333(1.06)5
P0 = $20.48
P0?$0(1.08)1?$2.00(1.08)2?$0(1.08)3?$2.00(1.08)4?$50.00(1.08)5
P0 = $37.21
P0?$1.20?(1?.10).14?(?.10); P0 = $4.50
$1.80?.90(1.13)1P3?.70.13; P3 = $5.3846 P0??$1.80?(.90)(1.13)22?$1.80?(.90)(1.13)33?$5.384615(1.13)3; P0 =
$7.22
94. 95. 96. 97. 98. 99. 100. 101. 102. 103. 104. 105. 106. 107. 108.
P2?1.00.09; P2 = $11.1111 P0?$1.40?.95(1.09)1?$1.40?(.95)(1.09)22?$11.1111(1.09)2
P0 = $11.64
P = $2.00 ? .09 = $22.22 R = $1.70 ? $20.24 = 8.40% D = .0658 ? $45.60 = $3.00 P0 = $4.50 ? .12 = $37.50
Value of stock = D0(1+g)/(r-g) = $2.25(1+0.05)/(0.11-0.05) = $39.375 $1.36/.125 = $10.88
g = (D1-D0)/D0 = ($1.03-$1.00)/$1.00 = 0.03 (g=3%) Value of stock = D1/(r-g) = $1.03/(0.05-0.03) = $51.50
Value of stock = [($0.75/1.1) + ($0.84/(1.1)2) + ($0.94/(1.1)3) + ($1.05/(1.1)4) + (($1.13/.02)/(1.1)-4) = $41.39
Div(8) = $0.4*(1+.07)6 (1.04)2 = $0.65
R = Div/P0 + g = (.381(1.056))/11.625)+.056 = (.40/11.625)+.056 = .0346 + .056 = .0906 = 9% Years 1-5: ($0.50(1.2)t/(1.12)t + (1.28/.09)/(1.12)5 = $11.17
Price = $1.00(1.20)/1.12 + $1.20(1.100)/1.2544 + [$1.32(1.05)/(.12-.05)]/1.2544 = $17.90 Price = $1.00(1.25)/1.12 + $1.25(1.25)/1.2544 + [$1.5625(1.05)/(.12-.05)]/1.2544 = $21.04 Value of stock = D1/(1+r) + (D2+P2)/(1+r)2 = $10/(1+0.09) + ($11+$120)/(1+0.09) 2 = $119.43
89. 90. 91. 92. 93.
Dividends for the next three years are $.56, $1.12, and $2.24.
P3?$1.50.115; P3 = $13.04348; P0?$.56(1.115)1?$1.12(1.115)2?$2.24(1.115)3?$13.04348(1.115)3
P0 = $12.43
P5?$1.40.06; P5 = $23.333 P0?$.30(1.06)1?$.50(1.06)2?$.75(1.06)3?$1.00(1.06)4?$1.20(1.06)5?$23.333(1.06)5
P0 = $20.48
P0?$0(1.08)1?$2.00(1.08)2?$0(1.08)3?$2.00(1.08)4?$50.00(1.08)5
P0 = $37.21
P0?$1.20?(1?.10).14?(?.10); P0 = $4.50
$1.80?.90(1.13)1P3?.70.13; P3 = $5.3846 P0??$1.80?(.90)(1.13)22?$1.80?(.90)(1.13)33?$5.384615(1.13)3; P0 =
$7.22
94. 95. 96. 97. 98. 99. 100. 101. 102. 103. 104. 105. 106. 107. 108.
P2?1.00.09; P2 = $11.1111 P0?$1.40?.95(1.09)1?$1.40?(.95)(1.09)22?$11.1111(1.09)2
P0 = $11.64
P = $2.00 ? .09 = $22.22 R = $1.70 ? $20.24 = 8.40% D = .0658 ? $45.60 = $3.00 P0 = $4.50 ? .12 = $37.50
Value of stock = D0(1+g)/(r-g) = $2.25(1+0.05)/(0.11-0.05) = $39.375 $1.36/.125 = $10.88
g = (D1-D0)/D0 = ($1.03-$1.00)/$1.00 = 0.03 (g=3%) Value of stock = D1/(r-g) = $1.03/(0.05-0.03) = $51.50
Value of stock = [($0.75/1.1) + ($0.84/(1.1)2) + ($0.94/(1.1)3) + ($1.05/(1.1)4) + (($1.13/.02)/(1.1)-4) = $41.39
Div(8) = $0.4*(1+.07)6 (1.04)2 = $0.65
R = Div/P0 + g = (.381(1.056))/11.625)+.056 = (.40/11.625)+.056 = .0346 + .056 = .0906 = 9% Years 1-5: ($0.50(1.2)t/(1.12)t + (1.28/.09)/(1.12)5 = $11.17
Price = $1.00(1.20)/1.12 + $1.20(1.100)/1.2544 + [$1.32(1.05)/(.12-.05)]/1.2544 = $17.90 Price = $1.00(1.25)/1.12 + $1.25(1.25)/1.2544 + [$1.5625(1.05)/(.12-.05)]/1.2544 = $21.04 Value of stock = D1/(1+r) + (D2+P2)/(1+r)2 = $10/(1+0.09) + ($11+$120)/(1+0.09) 2 = $119.43
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