Antiques R Us is a mature manufacturing firm. The company just paid a dividend of $8.90, but management expects to reduce the payout by 4 percent per year, indefinitely. If you require a return of 14 percent on this stock, what will you pay for a share today?

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Problem 9-17 Negative Growth

Antiques R Us is a mature manufacturing firm. The company just paid a dividend of $8.90, but management expects to reduce the payout by 4 percent per year, indefinitely. If you require a return of 14 percent on this stock, what will you pay for a share today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

 

 
Expert Solution
The following is the meaning of the dividend growth model:

The dividend growth model

The dividend growth model is a method through which we can know the fair value or intrinsic value for a company stock by using information such as current dividends and expected dividend growth in the future.

Formula for calculation of share value as per dividend growth model-

P0= D1ke - g               

where

D1= D0* ( 1+ g)

so we can rewrite the formula as;-

=D0* ( 1+ g)ke - g

here,

D1 = dividend for next year

D0= current year dividend

g = growth rate

ke = required rate of return

 

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