In: Finance
LeoTech Inc. just paid a dividend of $12 to its stockholders. The dividend will grow at 7% over the next 7 years. After 7 years, the dividends will remain constant forever. If the discount rate is 4%, what is the value of LeoTech’s stock today?
The value of LeoTech’s stock today is computed as shown below:
= Dividend in year 1 / (1 + discount rate )1 + Dividend in year 2 / (1 + discount rate )2 + Dividend in year 3 / (1 + discount rate )3 + Dividend in year 4 / (1 + discount rate )4 + Dividend in year 5 / (1 + discount rate )5 + Dividend in year 6 / (1 + discount rate )6 + Dividend in year 7 / (1 + discount rate )7 + 1 / (1 + discount rate )7 [ ( Dividend in year 8 / discount rate) ]
= ( $ 12 x 1.07 ) / 1.041 + ( $ 12 x 1.072 ) / 1.042 + ( $ 12 x 1.073 ) / 1.043 + ( $ 12 x 1.074 ) / 1.044 + ( $ 12 x 1.075 ) / 1.045 + ( $ 12 x 1.076 ) / 1.046 + ( $ 12 x 1.077 ) / 1.047 + 1 / 1.077 x [ ( $ 12 x 1.077 ) / 0.04 ]
= $ 12.84 / 1.04 + $ 13.7388 / 1.042 + $ 14.700516 / 1.043 + $ 15.72955212 / 1.044 + $ 16.83062077 / 1.045 + $ 18.00876422 / 1.046 + $ 19.26937772 / 1.047 + $ 481.7344429 / 1.047
= $ 460.35 Approximately
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