**Valuation of a Constant Growth Stock** Investors require an 8% rate of return on Mather Company's stock (i.e., \( r_s = 8\%\)). a. What is its value if the previous dividend was \( D_0 = \$1.25 \) and investors expect dividends to grow at a constant annual rate of (1) -2%, (2) 0%, (3) 3%, or (4) 5%? b. Using data from part a, what would the Gordon (constant growth) model value be if the required rate of return was 8% and the expected growth rate was (1) 8% or (2) 12%? Are these reasonable results? Explain. c. Is it reasonable to think that a constant growth stock could have \( g > r_s \)? Why or why not?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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**Valuation of a Constant Growth Stock**

Investors require an 8% rate of return on Mather Company's stock (i.e., \( r_s = 8\%\)).

a. What is its value if the previous dividend was \( D_0 = \$1.25 \) and investors expect dividends to grow at a constant annual rate of (1) -2%, (2) 0%, (3) 3%, or (4) 5%?

b. Using data from part a, what would the Gordon (constant growth) model value be if the required rate of return was 8% and the expected growth rate was (1) 8% or (2) 12%? Are these reasonable results? Explain.

c. Is it reasonable to think that a constant growth stock could have \( g > r_s \)? Why or why not?
Transcribed Image Text:**Valuation of a Constant Growth Stock** Investors require an 8% rate of return on Mather Company's stock (i.e., \( r_s = 8\%\)). a. What is its value if the previous dividend was \( D_0 = \$1.25 \) and investors expect dividends to grow at a constant annual rate of (1) -2%, (2) 0%, (3) 3%, or (4) 5%? b. Using data from part a, what would the Gordon (constant growth) model value be if the required rate of return was 8% and the expected growth rate was (1) 8% or (2) 12%? Are these reasonable results? Explain. c. Is it reasonable to think that a constant growth stock could have \( g > r_s \)? Why or why not?
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