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Thursday, 31 July 2014

Antiques ‘R’ Us is a mature manufacturing firm. The company just paid a dividend of $12.10, but management expects to reduce the payout by 4.5 percent per year, indefinitely.

Antiques ‘R’ Us is a mature manufacturing firm. The company just paid a dividend of $12.10, but management expects to reduce the payout by 4.5 percent per year, indefinitely.

 
Required:
If you require a return of 11 percent on this stock, what will you pay for a share today? (Do not round intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).)
   
  Current share price $  


Explanation:
The constant growth model can be applied even if the dividends are declining by a constant percentage, just make sure to recognize the negative growth. So, the price of the stock today will be:
 
P0 = D0 (1 + g) / (Rg)
P0 = $12.10(1 – 0.0450) / [(.11 – (–.0450)]
P0 = $74.55

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