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posted by  ihatetina on 10/18/2009 1:57:49 AM  |  status: Live  |  Earned Karma: 50

hello

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N/A N/A N/A N/A 10/19/2009 at 4:00:00 PM
Question Details:
 WWW Servers just paid a dividend of D0 = $1.00. Analysts expect the company's dividend to grow by 30% this year, by 10% in Year 2, and at a constant rate of 5% in Year 3 and thereafter. The required return on WWW's stock is 9.00%. What is the best estimate of the stock’s current intrinsic value?
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posted by devis on 10/19/2009 5:52:14 AM  |  status: Live
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Response Details:
 

Dividend Paid (D0) = $1.00

Dividend growth in first year (g1) = 30%

 

Expected dividend in 1st year (D1) = D0 * (1+g)

Expected dividend in 1st year (D1) = $1.00 * 1.30

Expected dividend in 1st year (D1) = $1.30

 

Dividend growth in second year (g2) = 10%

Expected dividend in 2nd year (D2)    = D1 * (1+g)

Expected dividend in 2nd year (D2)    = $1.30 * 1.10

Expected dividend in 2nd year (D2)    =   $1.43

 

Constant dividend growth rate in Year 3 and thereafter (g3) = 5%

 

Expected dividend in 3rd year (D3) = D2 * (1+g)

Expected dividend in 3rd year (D3) = $1.43 * 1.05

Expected dividend in 3rd year (D3) = $1.50

 
Required Return on the Stock (R) = 9%

Stock Value in 3rd year (P3) = D3 / (R – g)

Stock Value in 3rd year (P3) = $1.50 / (0.09 – 0.05)

Stock Value in 3rd year (P3) = $37.50

 

Estimated Stock’s Current Intrinsic Value (P0)  =  [D1/(1+R1 + D2 / (1+R)2 + D3 / (1+R)3

                                                                                    + P3 / (1+R)3]

Estimated Stock’s Current Intrinsic Value (P0)   = [$1.30 / (1+0.09)1 + $1.43 / (1+0.09)2

                                                                                 + $1.50 / (1+0.09)3 + $37.50 / (1.09)3]

Estimated Stock’s Current Intrinsic Value (P0)   = [$1.19 + $1.204 + $1.158 + $28.96]

 

Estimated Stock’s Current Intrinsic Value (P0)   = $32.51

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posted by ihatetina on 10/19/2009 5:17:50 PM  |  status: Live
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Response Details:

thank you so much ,correct answer is  33.99

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