<b>a) GROWTH RATE</b>
Growth rate of dividends (for above mentioned scenario) can be determined by using Historic Pattern method.
<b>Dividend Growth = [{ (Dn/Do)^(1/n) }  1]</b>
Where,
Dn = Most recent dividend
Do = Most earliest dividend
n = Number of years
^ = sign of "power"
Dividend Growth = { (10.5/3.5)^(1/10) }  1
Dividend Growth = 11.61%
<b>b) RATE OF RETURN</b>
For determination of required rate of return we can use Gordon's dividend growth model. However, this model has its own limitations and assumptions that I will mention at the end of solution.
<b>Market Value of Share = [{Dividend * (1+g)}/(Re  g)]</b>
Where,
g = dividend growth rate (using above solution 11.61% or 0.1161)
Re = Rate of return
75 = [{10.5 * (1+0.1161)}/(Re  0.1161)]
75 = [{11.719/Re  0.1161}]
(Re  0.1161) = {11.719/75}
(Re  0.1161) = 0.156254
Re = 0.156254 + 0.1161
Re = 0.2723 or 27.23%
Therefore,
<b>Rate of Return = 27.23%, and;
Growth rate = 11.61%
</b>
<b>Assumptions behind Gordon's Dividend Growth model </b>
 Complete earnings are not distributed but retained and these are retained so that growth can occur.
 Growth rate is constant
 Next dividend is paid after 1 year
 "g (i.e. growth rate)" is less than "Re (i.e. rate of return)".
