Wednesday, 30 October 2013

Antiques ‘R’ Us is a mature manufacturing firm. The company just paid a dividend of $10.80, but management expects to reduce the payout by 5.25 percent per year, indefinitely. Required: If you require a return of 9 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) / (R – g) P0 = $10.80(1 – 0.0525) / [(.09 – (–.0525)] P0 = $71.81

Antiques ‘R’ Us is a mature manufacturing firm. The company just paid a dividend of $10.80, but management expects to reduce the payout by 5.25 percent per year, indefinitely.
 
Required:
If you require a return of 9 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 = $10.80(1 – 0.0525) / [(.09 – (–.0525)]
P0 = $71.81

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