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Could I Industries just paid a dividend of $1.75 per share. The dividends are ex

ID: 2772200 • Letter: C

Question

Could I Industries just paid a dividend of $1.75 per share. The dividends are expected to grow at a 17 percent rate for the next 4 years and then level off to a 7 percent growth rate indefinitely. If the required return is 15 percent, what is the value of the stock today?

Could I Industries just paid a dividend of $1.75 per share. The dividends are expected to grow at a 17 percent rate for the next 4 years and then level off to a 7 percent growth rate indefinitely. If the required return is 15 percent, what is the value of the stock today?

Explanation / Answer

Calculation of Current Share Price:

Year 0

Year 1

Year 2

Year 3

Year 4

Year 5

Expected Dividend

$           2.0475

$                2.3956

$                2.8028

$                       3.2793

$                3.5089

(1.75*117%)

(2.0475*117%)

(2.3956*117%)

(2.8028*117%)

(3.2793*107%)

Terminal Value at the end of year 4

$                          43.86

= Expected Dividend (Y-5) / (Required rate - Growth rate )

3.5089 / (15%-7%)

Total Cash Inflows (A)

$                2.05

$                     2.40

$                     2.80

$                          47.14

PVF (15%) (B)

   1.00000

            0.86957

                 0.75614

                 0.65752

                        0.57175

Present value (PV) = A*B

$                1.78

$                     1.81

$                     1.84

$                          26.95

Current Share Price (Sum of PVs)

$    32.39

Calculation of Current Share Price:

Year 0

Year 1

Year 2

Year 3

Year 4

Year 5

Expected Dividend

$           2.0475

$                2.3956

$                2.8028

$                       3.2793

$                3.5089

(1.75*117%)

(2.0475*117%)

(2.3956*117%)

(2.8028*117%)

(3.2793*107%)

Terminal Value at the end of year 4

$                          43.86

= Expected Dividend (Y-5) / (Required rate - Growth rate )

3.5089 / (15%-7%)

Total Cash Inflows (A)

$                2.05

$                     2.40

$                     2.80

$                          47.14

PVF (15%) (B)

   1.00000

            0.86957

                 0.75614

                 0.65752

                        0.57175

Present value (PV) = A*B

$                1.78

$                     1.81

$                     1.84

$                          26.95

Current Share Price (Sum of PVs)

$    32.39