Question
can you please help me out here. I am stuck on this problem. I know ive done most of right but i cant get the
can you please help me out here. I am stuck on this problem. I know ive done most of right but i cant get the final answer. please help and provide a solution so i can do it on my own. thanks,
Problem 7-05
Nonconstant Growth Valuation
A company currently pays a dividend of $4per share (D0= $4). It is estimated that the company's dividend will grow at a rate of 19% per year for the next 2 years, and then at a constant rate of 6% thereafter. The company's stock has a beta of 1.55, the risk-free rate is 8%, and the market risk premium is 4%. What is your estimate of the stock's current price? Do not round intermediate calculations. Round your answer to the nearest cent.
Step-1, Calculation of the Required Rate of Return (Ke)
As per CAPM Approach, the Required Rate of Return is calculated as follows
Required Rate of Return = Risk-free Rate + (Beta x Market Risk Premium)
risk free
beta
8.00% + 1.55 * 8.00% = 20.40%
Step-2, Dividend for the next 2 years
Dividend per share in Year 0 (D0) = $4.00 per share
Dividend per share in Year 1 (D1) = $4.76 per share [$4.00 x 119%] = 4.7600
Dividend per share in Year 2 (D2) = $5.6644 per share [$4.760 x 119%] = 5.6644
Step-3, Share Price in Year 2
Dividend Growth Rate after Year 2 (g) = 6.00% per year
Required Rate of Return (Ke) = 20.40%
Share Price in Year 2 (P2) = D2(1 + g) / (Ke - g) = $1.8605(1 + 0.08) / (0.0960 - 0.08)
41.6962778 5.6644 = $2.0093 / 0.0160
1.06 $41.70 per share
0.204 wrong
0.06
6.004264
0.144 41.6962778
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