Boston Company has just paid dividends of $2.50 per share, which the company projects will grow at a constant rate of 4 percent forever. If Boston Company's shareholders require 12 percent rate of return, what is the price of its common stock? Time 0 Do $2.50 Do 1 g R Po Po 2 D₁ R-g D₁=Dx (1+g) D₁ 3 This is a perpetuity with growth Cash flows that grow at a constant rate forever! D₁=Dx(1 + g) forever To Calculate the Dividend at time 1 FV = PV x (1+i) Future Value is D1 Present Value is DO Interest rate is the growth rate g D1 = DO x (1+g)

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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Boston Company has just paid dividends of $2.50 per share, which the company projects will grow at a constant rate of 4 percent forever.
If Boston Company's shareholders require 12 percent rate of return, what is the price of its common stock?
Time 0
Do $2.50
1
Do
g
R
Po
Po
2
D₁
R-g
D₁= D x (1 + g)
D₁
3
This is a perpetuity with growth
Cash flows that grow at a constant rate forever!
D₁=Dx(1 + g)
forever
To Calculate the Dividend at time 1
FV = PV X (1+i)
Future Value is D1
Present Value is DO
Interest rate is the growth rate g
D1 = D0 x (1+g)
Transcribed Image Text:Boston Company has just paid dividends of $2.50 per share, which the company projects will grow at a constant rate of 4 percent forever. If Boston Company's shareholders require 12 percent rate of return, what is the price of its common stock? Time 0 Do $2.50 1 Do g R Po Po 2 D₁ R-g D₁= D x (1 + g) D₁ 3 This is a perpetuity with growth Cash flows that grow at a constant rate forever! D₁=Dx(1 + g) forever To Calculate the Dividend at time 1 FV = PV X (1+i) Future Value is D1 Present Value is DO Interest rate is the growth rate g D1 = D0 x (1+g)
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