Answer to Question #181161 in Other for Mburu

Question #181161

SOSU, Inc has before tax income this year is $900,000. The company’s payout ratio is 40%. The company's common equity currently has a book value of $5,000,000. They just paid a dividend of $1.87, and the required rate of return on this stock is 10%. Compute the value of this stock if dividends are expected to continue growing indefinitely at the company's internal growth rate. Tax rate = 28%.

 



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Expert's answer
2021-04-15T07:58:07-0400

Currentvalue=dividendinyear1RequiredrateGrowthrateCurrentvalue=\frac{dividend in year 1}{Required rate-Growthrate}

Netincome=profitbeforetax×(1taxrate)Netincome=profit before tax\times (1-tax rate)

=900000×(10.28)=900000\times(1-0.28)

=648,000=648,000

Growthrate=648,0005000000×100×(10.40)=7.7767Growthrate=\frac{648,000}{5000000}\times100\times(1-0.40)=7.7767

Dividendinyear1=1.87×(1+0.0776)=2.01541Dividendin year1=1.87\times(1+0.0776)=2.01541

ValueoftheStock=2.01541(107.776)=2.015412.224=90.62Value of the Stock=\frac{2.01541}{(10-7.776)}=\frac{2.01541}{2.224}=90.62


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Comments

Abdullah
17.04.21, 10:43

Nice Work! Thanks.

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