Refer to the following examples for part c) and d) A firm is expected to pay a $2 dividend per share next year and its dividend is expected to grow at a constant rate of 6% per year. If the required rate of return on the firm's stock is 10%, what is the firm's stock price (or intrinsic price) today? Because the dividend has a constant growth rate from the next year, the constant growth model can be used. According to the constant growth model, Stock price (intrinsic price) today = the next year's dividend per share (required rate of return dividend growth rate) = $2/(0.1 - 0.06) = $50. A firm has just paid a $1.5 dividend per share. If the required rate of return is 12% and the constant growth rate is 5%, what is the stock price (intrinsic price) today? %3D %3D %3D $1.5 dividend is today's dividend, not the next year's. So, we need the next year's dividend to use the constant growth model. Since the dividend grows at a 5% constant rate, the next year's dividend should be 1.5*(1+.05) = $1.58 (=> Actually this is the future value of today's dividend) %3D Then, the stock price today = 1.58/(.12 - .05) = $22.57 %3D c) Suppose that Troy Inc. has just paid a $3 dividend per share. If the required rate of return is 15% and the dividend is expected to grow at a constant rate of 4%, what is the stock price today? d) BMC is expected to pay a $1 dividend per share next year. If the stock price today is $20, what is the required rate of return? Assume that the dividend is expected to grow at a constant growth rate of 3%.
Refer to the following examples for part c) and d) A firm is expected to pay a $2 dividend per share next year and its dividend is expected to grow at a constant rate of 6% per year. If the required rate of return on the firm's stock is 10%, what is the firm's stock price (or intrinsic price) today? Because the dividend has a constant growth rate from the next year, the constant growth model can be used. According to the constant growth model, Stock price (intrinsic price) today = the next year's dividend per share (required rate of return dividend growth rate) = $2/(0.1 - 0.06) = $50. A firm has just paid a $1.5 dividend per share. If the required rate of return is 12% and the constant growth rate is 5%, what is the stock price (intrinsic price) today? %3D %3D %3D $1.5 dividend is today's dividend, not the next year's. So, we need the next year's dividend to use the constant growth model. Since the dividend grows at a 5% constant rate, the next year's dividend should be 1.5*(1+.05) = $1.58 (=> Actually this is the future value of today's dividend) %3D Then, the stock price today = 1.58/(.12 - .05) = $22.57 %3D c) Suppose that Troy Inc. has just paid a $3 dividend per share. If the required rate of return is 15% and the dividend is expected to grow at a constant rate of 4%, what is the stock price today? d) BMC is expected to pay a $1 dividend per share next year. If the stock price today is $20, what is the required rate of return? Assume that the dividend is expected to grow at a constant growth rate of 3%.
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
Section: Chapter Questions
Problem 1PS
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Please show me step by step how to work parts c and d. Thank you.
Transcribed Image Text:Refer to the following examples for part c) and d)
A firm is expected to pay a $2 dividend per share next year and its dividend is expected to
grow at a constant rate of 6% per year. If the required rate of return on the firm's stock is 10%,
what is the firm's stock price (or intrinsic price) today?
Because the dividend has a constant growth rate from the next year, the constant growth
model can be used. According to the constant growth model,
Stock price (intrinsic price) today = the next year's dividend per share (required rate of return
dividend growth rate) = $2/(0.1 - 0.06) = $50.
A firm has just paid a $1.5 dividend per share. If the required rate of return is 12% and the
constant growth rate is 5%, what is the stock price (intrinsic price) today?
%3D
%3D
%3D
$1.5 dividend is today's dividend, not the next year's. So, we need the next year's dividend to
use the constant growth model. Since the dividend grows at a 5% constant rate, the next
year's dividend should be 1.5*(1+.05) = $1.58 (=> Actually this is the future value of today's
dividend)
%3D
Then, the stock price today = 1.58/(.12 - .05) = $22.57
%3D
c) Suppose that Troy Inc. has just paid a $3 dividend per share. If the required rate of return is
15% and the dividend is expected to grow at a constant rate of 4%, what is the stock price
today?
d) BMC is expected to pay a $1 dividend per share next year. If the stock price today is $20,
what is the required rate of return? Assume that the dividend is expected to grow at a constant
growth rate of 3%.
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