Question

Assume that the current dividend (D0) is $2, risk free rate is 6%, market return is...


Assume that the current dividend (D0) is $2, risk free rate is 6%, market return is 12%, and firm’s beta is 1.333. The firm’s dividends are expected to follow the following growth pattern. Estimate the firms current stock price (P0). You must show your calculations.

Year. Dividend growth rate
1-2. 25%
3-4. 20%
5-6. 15%
7 on. 9%

Homework Answers

Answer #1

Given D0 = $2

Hence, D1 = 2*1.25 = 2.5
D2 = 2*1.252 = 3.125
D3 = 2*1.252*1.20 = 3.75
D4 = 2*1.252*1.202 = 4.5
D5 = 2*1.252*1.202*1.15 = 5.175
D6 = 2*1.252*1.202*1.152 = 5.951
D7 = 2*1.252*1.202*1.152*1.09 = 6.487

Using Gordon Growth model,

Pn = Dn+1/(r-g)

=> P6 = 6.487/(0.12-0.09) = 216.233

Hence, P0 = D0 + D1/(1+r) + D2/(1+r)2 + D3/(1+r)3 + D4/(1+r)4 + D5/(1+r)5 + D6/(1+r)6 + P6/(1+r)6

= 2 + 2.5/(1.12) + 3.125/(1.12)2 + 3.75/(1.12)3 + 4.5/(1.12)4 + 5.175/(1.12)5 + 5.951/(1.12)6 + 216.233/(1.12)6

= 127.754

Hence, Current Stock Price = P0 = $127.754

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