Fundamentals of Corporate Finance
11th Edition
ISBN: 9780077861704
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Textbook Question
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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Students have asked these similar questions
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. $37.08
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 in time.
III. can be used to value zero-growth stocks.
IV. requires the growth rate to be less than the required return.
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?
Chapter 8 Solutions
Fundamentals of Corporate Finance
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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- Required Returns Suppose we observe a stock selling for $40 per share. The next dividend will be $1 per share, and you think the dividend will grow at 12 percent per of the stock? What will the stock be worth in five Problem 1.) 7.2. year forever. What is the dividend yield in this case? The capital gains yield? The total required return? (See Problem 3.)arrow_forwardWhat is the stock price today if the dividend grow at 2% forever, the required rate of return r=10%, dividend today is $2.00. What is the stock price at year 3?arrow_forwardValuing Common Stock Using the Discounted Constant Dividend Growth Rate Model Problem Illustration: Consider the valuation of a share of common stock that paid a $2 dividend at the end of last year and is expected to pay a cash dividend every year from now to infinity. Each year, the dividends are expected to grow at a rate of 10%. Based on an assessment of the riskiness of the common stock, the investor's required rate of return is 15%. What is the value of this common stock Do(1 + g) Dividend in year 1 g CS Stockholders' Required Rate of Return Growth Rate V csarrow_forward
- The dividend-Growth model may be used to value a stock: V= D0 (1+g) / k-g What is the value of a stock if : D0 = $2 k = 10% g = 6% What is the value of this stock if the dividend is increased to $3and the other variables remain constant? What is the value of this stock if the required return declines to 7.5 percent and the other variable remains constant? What is the value of this stock if the growth rate declines to 4 percent and the other variables remain constant? What is the value of this stock if the dividend is increased to $2.30, the growth rate declines to 4 percent, and the required return remains 10 percent?arrow_forwardWhat would be the approximate expected price of a stock when dividends are expected to grow at a 26% rate in each of years 2 and 3, and then g at a constant rate of 8% if the stock's required return is 16% and next year's dividend will be $4.80? Multiple Choice $78.35 О $72.86 $79.42 О $87.24arrow_forwardIf you buy a stock for a price of $23 and if you expect the stock to pay a dividend of $1.242 one year from now and to grow at a constant rate g = 8% in the future, then the required rate of return will be? Select one: a. 12.4% b. 13.4% c. 14.5% d. 20.4%arrow_forward
- Suppose you have just purchased a share of stock for $58.50. You expect a dividend next period of $2.50 which will grow at a rate of 15% indefinitely. What must your expected rate of return be on the stock you have just purchased? Select one: A. 4.27% B. 15.38% C. 19.27% D. 19.91% E. None of the abovearrow_forward4. 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…arrow_forwardthe dividend growth model may be use to value a stock v=Do(1+g) k-g a. what is the value of a stock if: Do=$2 k==10% g=6% b. what is the value of this stock if the dividend is increased to $3 and the other variables remain constant? c. what is the value os this stock if the required return decline to 7.5 percent and the other variables remain constant? d. what is the value of this stock if the growth rate declines to 4 percent and the other variables remin constant? e. what is the value of this stock if the dividend is increased to $2.30, the growth rate declines to 4 percent, and the required return remains 10 percent?arrow_forward
- QUESTION 1 Suppose you purchased a stock a year ago. Today, you receive a dividend of $16 and you sell the stock for $99. If your return was 11%, at what price did you buy the stock? QUESTION 2 A stock's risk premium is equal to the: a. risk-free rate plus the expected market risk premium b. expected market risk premium times beta c. expected market return times beta d. treasury bill yield plus the expected market return.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_forward3. 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 (Do) and the discounted value of the dividends expected to be paid 10, 20, and 50 years from now (D10, D20, D50). Assume that the stock's required return (r,) 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 $1.0000 End of Year 10 $1.3053 $0.7633 X End of Year 20 $1.7038 V $0.2887 X End of Year 50 $4.3289 X $0.0709 Xarrow_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