Fundamentals of Corporate Finance (Special Edition for Rutgers Business School)
11th Edition
ISBN: 9781308509853
Author: Ross, Westerfield, Jordan
Publisher: McGraw Hill
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Chapter 8, Problem 36QP
Constant Dividend Growth Model [LO1] Assume a stock has dividends that grow at a constant rate forever. If you value the stock using the constant dividend growth model, how many years worth of dividends constitute one-half of the stock’s current price?
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4. Expected dividends as a basis for stock values
The following graph shows the value of a stock’s dividends over time. The stock’s current dividend is $1.00 per share, and dividends are expected to grow at a constant rate of 2.70% per year. The intrinsic value of a stock should equal the sum of the present value (PV) of all of the dividends that a stock is supposed to pay in the future, but many people find it difficult to imagine adding up an infinite number of dividends.
Calculate the present value (PV) of the dividend paid today (D₀) and the discounted value of the dividends expected to be paid 10, 20, and 50 years from now (D10, D20, D50D10, D20, D50). Assume that the stock’s required return (rss) is 8.40%.
Note: Carry and round the calculations to four decimal places.
Time Period
Dividend’s Expected Future Value
Dividend’s Expected Present Value
Now
End of Year 10
End of Year 20
End of Year 50
Using the orange…
A corpus expected to pay a dividend of $1.25 per share at the end of the year (D1=$1.25). the stock sells for 27.50 per share and it's required return is 9.75 the dividend is expected to grow at some constant rate forever. what is the equilibrium expected growth rate?
Q14: Suppose a company is expected to pay a dividend of $2.30 per share next year. Assuming the dividend growth rate is 5% a year and the market requires a return of 12%, how much should the stock be selling for?
Chapter 8 Solutions
Fundamentals of Corporate Finance (Special Edition for Rutgers Business School)
Ch. 8.1 - Prob. 8.1ACQCh. 8.1 - Does the value of a share of stock depend on how...Ch. 8.1 - What is the value of a share of stock when the...Ch. 8.2 - Prob. 8.2ACQCh. 8.2 - Prob. 8.2BCQCh. 8.2 - Why is preferred stock called preferred?Ch. 8.3 - Prob. 8.3ACQCh. 8.3 - Prob. 8.3BCQCh. 8.3 - How does NASDAQ differ from the NYSE?Ch. 8 - A stock is selling for 11.90 a share given a...
Ch. 8 - An 8 percent preferred stock sells for 54 a share....Ch. 8 - Prob. 8.3CTFCh. 8 - Stock Valuation [LO1] Why does the value of a...Ch. 8 - Stock Valuation [LO1] A substantial percentage of...Ch. 8 - Stock Valuation [LO1] A substantial percentage of...Ch. 8 - Dividend Growth Model [LO1] Under what two...Ch. 8 - Common versus Preferred Stock [LO1] Suppose a...Ch. 8 - Prob. 6CRCTCh. 8 - Growth Rate [LO1] In the context of the dividend...Ch. 8 - Prob. 8CRCTCh. 8 - Prob. 9CRCTCh. 8 - Prob. 10CRCTCh. 8 - Prob. 11CRCTCh. 8 - Two-Stage Dividend Growth Model [LO1] One of the...Ch. 8 - Prob. 13CRCTCh. 8 - Price Ratio Valuation [LO2] What are the...Ch. 8 - Stock Values [LO1] The JacksonTimberlake Wardrobe...Ch. 8 - Stock Values [LO1] The next dividend payment by...Ch. 8 - Stock Values [LO1] For the company in the previous...Ch. 8 - Stock Values [LO1] Caan Corporation will pay a...Ch. 8 - Stock Valuation [LO1] Tell Me Why Co. is expected...Ch. 8 - Stock Valuation [LO1] Suppose you know that a...Ch. 8 - Stock Valuation [LO1] Estes Park Corp. pays a...Ch. 8 - Valuing Preferred Stock [LO1] Moraine, Inc., has...Ch. 8 - Prob. 9QPCh. 8 - Prob. 10QPCh. 8 - Prob. 11QPCh. 8 - Prob. 12QPCh. 8 - Stock Valuation and PS [LO2] TwitterMe, Inc., is a...Ch. 8 - Stock Valuation [LO1] Bayou Okra Farms just paid a...Ch. 8 - Prob. 15QPCh. 8 - Nonconstant Dividends [LO1] Maloney, Inc., has an...Ch. 8 - Nonconstant Dividends [LO1] Lohn Corporation is...Ch. 8 - Supernormal Growth [LO1] Synovec Co. is growing...Ch. 8 - Prob. 19QPCh. 8 - Prob. 20QPCh. 8 - Prob. 21QPCh. 8 - Valuing Preferred Stock [LO1] E-Eyes.com just...Ch. 8 - Prob. 23QPCh. 8 - Two-Stage Dividend Growth Model [LO1] A7X Corp....Ch. 8 - Two-Stage Dividend Growth Model [LO1] Navel County...Ch. 8 - Stock Valuation and PE [LO2] Summers Corp....Ch. 8 - Stock Valuation and PE [LO2] You have found the...Ch. 8 - Stock Valuation and PE [LO2] In the previous...Ch. 8 - Stock Valuation and PE [LO2] YGTB, Inc., currently...Ch. 8 - PE and Terminal Stock Price [LO2] In practice, a...Ch. 8 - Stock Valuation and PE [LO2] Fly Away, Inc., has...Ch. 8 - Prob. 32QPCh. 8 - Stock Valuation [LO1] Most corporations pay...Ch. 8 - Nonconstant Growth [LO1] Storico Co. just paid a...Ch. 8 - Nonconstant Growth [LO1] This ones a little...Ch. 8 - Constant Dividend Growth Model [LO1] Assume a...Ch. 8 - Two-Stage Dividend Growth [LO1] Regarding the...Ch. 8 - Prob. 38QPCh. 8 - Prob. 1MCh. 8 - Prob. 2MCh. 8 - What is the industry average priceearnings ratio?...Ch. 8 - Prob. 4MCh. 8 - Assume the companys growth rate slows to the...Ch. 8 - Prob. 6M
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- (Stock Valuation Problem 2) Two years ago the Webster Corporation paid a dividend of D-2 = $8.00 and has just paid a dividend of D0 = $7.22. If the dividend growth rate implicit in these two dividend amounts has been constant and is expected to remain constant for the foreseeable future, determine this constant growth rate, g. If Webster’s equity β = 1.2, the expected return on the market, E[RM] = 12%, and the risk-free rate, RF = 7%, calculate the required return , kC/S, for Webster Corporation stock. Use the information in parts (A) and (B) to determine the current price, P0, of Webster Corporation’s stock. What dividend yield and capital gain is Webster stock offering? Dividend Yield__________ Capital Gain__________ What will Webster Corporation’s common stock value be in 10 years?arrow_forward(b) Assume that Stock X is fairly priced today. Stock X just distributed a per share dividend of$1. It is expected that the company will increase its dividend by 20% in the coming year, 15%in the second year, 10% in the third year, and 5% in the fourth year. Starting from the fifthyear, the company will maintain the dividend growth rate to be 5% per year forever. Howmuch is Stock X worth today if its equity cost of capital is 10%?arrow_forward3. a. Suppose a stock pays currently pays a $10 dividend each year and that the dividend is expected to grow at 3% each year. Suppose that the risk-adjusted discount rate for that stock is 8%. According to fundamental analysis stock prices are the present value of expected future dividends (discounted at the risk-adjusted discount rate). What should the current price of this stock be? Hint: a=(1+g)/(1+i) where g is the growth rate in dividends and i is the discount rate for stocks. Use the formula in 2. but let ?? → ∞. b. For the stock in part a, what is the expected rate of return for that stock. c. Suppose that market participants think the stock has become riskier and raise the discount rate for the stock to 10%. What is the new stock price value? What is the expected rate of return for this stock?arrow_forward
- 1. ABC’s last dividend was $2.7. The dividend growth rate is expected to be constant at 30% for 3 years, after which dividends are expected to grow at a rate of 5% forever. If the firm’s required return (rs) is 11%, what is its current stock price (i.e. solve for Po)?arrow_forwardQuestion 3XYZ company has just paid a dividend of $1.15. The required rate of return on the stock is 13.4%, and investors expect the dividend to grow at a constant 8% in the future.a) Calculate the current stock value using the Gordon Constant growth model. b) Evaluate Gordons growth model and explain its limitations and why in certain situations the growth model used in part (a) will create incorrect results?arrow_forwardTitle: Constant Growth Model (new div - CAPM) You are considering buying common stock in Grow On, Inc. You have projected that the next dividend the company will pay will equal $7.60 and that dividends will grow at a rate of 6.0% per year thereafter. The firm's beta is 0.93, the risk-free rate is 6.1%, and the market return is 13.6%. What is the most you should pay for the stock now?arrow_forward
- What comes closest to the value today of a stock that just paid a dividend of $1 and expects to grow that dividend by 10% per year in year 1 and year 2, and then grow each dividend beginning in year 3 by 2% forever if the required rate of return is 5%? A. $39.46 B. $38.25 C. $38.03 D. $37.66 E. $37.08arrow_forwardCase Study 1. Should stockholder wealth maximization be thought of as a long-term or a short-term goal?For example, if one action increases a firm’s stock price from a current level of P40 to P45in 6 months and then to P50 in 5 years but another action keeps the stock at P40 forseveral years but then increases it to P70 in 5 years, which action would be better?arrow_forwardThe dividend-growth model may be used to value a stock: Round your answers to the nearest cent. What is the value of a stock if:D0 = $5.00k = 12%g = 6% $ What is the value of this stock if the dividend is increased to $6.50 and the other variables remain constant? $ What is the value of this stock if the required return declines to 11 percent and the other variables remain constant? $ What is the value of this stock if the growth rate declines to 3 percent and the other variables remain constant? $ What is the value of this stock if the dividend is increased to $6.50, the growth rate declines to 3 percent, and the required return remains 12 percent? $arrow_forward
- 9.2. Stock Values The next dividend payment by Skippy, Inc., will be $2.95 per share. The dividends are anticipated to maintain a growth rate of 4.8 percent, forever. If the stock currently sells for $53.10 per share, what is the required return?arrow_forwardj) A firm's stock price today is $30. The next year's dividend is expected to be $1.2 per share and the required rate of return on the stock is 9%. Find the dividend constant growth rate.arrow_forwardQ.1: Gamzan Corporation is expected to pay dividend of Rs. 20 this year. T his dividend is expected to grow at 11% rate for the next 4 years, after that dividend is expected to grow at a rate of 14% for the next 3 years and after that dividend is expected to grow at a constant rate of 6% for ever. What should be the market price per share of this stock, if the expected return on this stock is 18%? lf the market price per share is Rs. 122, will you purchase this share? Give reasons to justify your answer.arrow_forward
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Dividend disocunt model (DDM); Author: Edspira;https://www.youtube.com/watch?v=TlH3_iOHX3s;License: Standard YouTube License, CC-BY