Deployment Specialists pays a current (annual) dividend of $1.00 and is expected to grow at 20% for 2 years and then at 4% thereafter. If the required return for Deployment Specialists is 8.5%, what is the intrinsic value of its stock?

Respuesta :

Answer:

The correct answer to the following question is $30.60 .

Explanation:

The given information -

Present dividend ( D0 ) - $1

Dividend growth rate for the first 2 years (G1 )  - 20%

after 2 years it is ( G2)- 4%

Required return for specialist ( R ) - 8.5%

Here for calculating the intrinsic value, the first thing to do would be to take out the dividend for the year 1 and 2 , so to calculate the formula used would be -

Dividend for year 1 = D0 X ( 1+G1)

= $1 X ( 1 + 20%)

= $1.20

Dividend for year 2 = D0 X ( 1+G1)

=  $1.20 X ( 1 + 20%)

= $1.44

After this the next thing to do is to take out terminal value , were we will use the growth rate of 4%

= Dividend for second year x (1+G2)  /  ( R - G2)

= $1.44 X ( 1 + 4% )  /  (8.5% - 4%)

= $33.28

Now we will calculate the intrinsic value with the formula ,

Dividend year 1 / (1+ R)^1 + (Dividend year 2 + Terminal value) / (1+R)^2

= $1.20 / (1+8.5%)  + $1.44 + $33.28 / (1+8.5%)

= $1.1060 + $29.4931

= $30.599

= $30.60

If the required return for Deployment Specialists is 8.5%, what is the intrinsic value of its stock is $30.60.

Intrinsic value

Dividend for year 1 = D0×  ( 1+G1)

Dividend for year 1= $1 ×( 1 + 20%)

Dividend for year 1= $1.20

Dividend for year 2 = D0 × ( 1+G1)

Dividend for year 2=  $1.20 × ( 1 + 20%)

Dividend for year 2= $1.44

Terminal value= Dividend for second year x (1+G2)  /  ( R - G2)

Terminal value= $1.44 × ( 1 + 4% )  /  (8.5% - 4%)

Terminal value= $33.28

Intrinsic value=Dividend year 1 / (1+ R)^1 + (Dividend year 2 + Terminal value) / (1+R)^2

Intrinsic value= $1.20 / (1+8.5%)  + $1.44 + $33.28 / (1+8.5%)

Intrinsic value= $1.1060 + $29.4931

Intrinsic value= $30.599

Intrinsic value= $30.60 (Approximately)

Inconclusion If the required return for Deployment Specialists is 8.5%, what is the intrinsic value of its stock is $30.60.

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