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Growing Real Fast Company (GRF) is expected to have a 25 percent growth rate for the...

Growing Real Fast Company (GRF) is expected to have a 25 percent growth rate for the next four years (affecting D1, D2, D3, and D4). Beginning in year five, the growth rate is expected to drop to 2.4 percent per year and last indefinitely. If GRF just paid a $4.00 dividend and the appropriate discount rate is 17.5 percent, then what is the value of a share of GRF? Enter your answer to two decimal places.

Solutions

Expert Solution

Dividend Just paid (D0) =

 4

Growth rate for 4 Years =

 25% or 0.25

Growth rate after 4th Year =

 2.4% or 0.024

So, D1 = (4 +25%) =

 5

D2 = (5 +25%) =

 6.25

D3 = (6.25 +25%) =

 7.8125

D4 = (7.8125 + 25%) =

 9.765625

D5 = (9.765625 +2.4%)=

 10

Discount rate =

 17.5% or 0.175

Value of stock at end of 4th Year

Formula for P4 = D5/(ke-g)

P4 = 10/(0.175 - 0.024)
66.22516556

Present value of stock

Present value of stock is Present value of Dividends upto 4th yar and Present value of stock value at end of 4th year.
Year Cash flows P.V.F. @ 17.5%

Present value
1 D1 5 0.8510638298 4.255319149
2 D2 6.25 0.7243096424 4.526935265
3 D3 7.8125 0.6164337382 4.81588858
4 D4 9.765625 0.524624458 5.123285723
4 P4 66.22516556 0.524624458 34.74334159
53.46477031

So, Value of a share of GRF is $53.46.

Please thumbs up.

jeff jeffy answered 11 months ago
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