Answer:
The price of the stock today is $3.49. The right answer is A.
Explanation:
In order to calculate the price of the stock today, we need to calculate first Value after year 5 with the following formula:
Value after year 5=(D5*Growth Rate)/(Required return-Growth Rate)
To find D5 we need to make the following calculations:
IF D1=0.3
, hence D2=(0.3*1.1)=0.33
, D3=(0.33*1.1)=0.363
, D4=(0.363*1.1)=0.3993 and D5=(0.3993*1.1)=0.43923
Therefore, Value after year 5=(0.43923*1.05)/(0.15-0.05)
=$4.611915
Therefore, now we can calculate the the price of the stock today with the following formula:
current price=Future dividends and value*Present value of discounting factor(rate%,time period)
=0.3/1.15+0.33/1.15^2+0.363/1.15^3+0.3993/1.15^4+0.43923/1.15^5+$4.611915/1.15^5
=$3.49
