A stock has just paid a dividend of $2.5. dividedn is expected to gro w rate 20% for 3 year then grow at 5% thereafter.for investors require a(n) 13% rate of return, what is the price of the stock?

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A  stock has just paid a dividend of $2.5. dividedn is expected  to gro w  rate 20% for 3 year then grow at 5% thereafter.for  investors require a(n) 13% rate of return, what is the price of the stock?

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Answer: price of the stock = $ 43.24

Working notes for the above answer is as under

 

  Last
year devidedn
Growth Dividend for the year
D1 2.5 1.2 3
D2 3 1.2 3.6
D3 3.6 1.2 4.32
D4 4.32 1.05 4.536

 

Now we will calculate Price at year 3

P3 = D4 / r-g

=4.536 /0.13 -0.05

=4.536 /0.08

P3 =56.7

 

We find the present values for 3 year dividend and P3

 

  Dividend/
Value
Pv
factor@13%
Prasent
Value
D1 3 0.884956 2.654867
D2 3.6 0.783147 2.819328
D3 4.32 0.69305 2.993977
P3 56.7 0.613319 34.77517
      43.24334

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