Question

In: Finance

Suppose we have a firm that is assumed to have a dividend growth rate of 23%...

Suppose we have a firm that is assumed to have a dividend growth rate of 23% for the next two years, then 5% per year afterward. The cost of equity is assumed to be 18%. Assume that the stock recently paid a dividend of $9. The Compute the value of the stock.

Solutions

Expert Solution

D1=(9*1.23)=11.07

D2=(11.07*1.23)=13.6161

Value after year 2=(D2*Growth rate)/(Cost of equity-Growth rate)

=(13.6161*1.05)/(0.18-0.05)

=109.976192

Hence value of stock=Future dividend and value*Present value of discounting factor(rate%,time period)

=11.07/1.18+13.6161/1.18^2+109.976192/1.18^2

=$98.14(Approx)


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