Based on the dividends and the growth rate, we can infer that the value of the stock at the end of year 2 is $27.26
You can use the Gordon Growth Model to solve for this:
Value of stock = Next dividend / (Rate of return - growth rate)
Next dividend = Dividend in year 3:
= Current dividend x (1 + year 1 growth) x (1 + year 2 growth) x ( 1 + year 3 growth)
= 1.50 x (1 + 10%) + (1 + 10%) + (1 + 5%)
= $1.90575
Value of stock₂ = 1.90575 / (12% - 5%)
= $27.26
In conclusion, the value of the stock at the end of year 2 is $27.26
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