Answer:
The value of the stock is $2.558
Explanation:
We need to calculate the present value of future cash flows to calculate the Stock value
First Calculate each year's Dividend
Use the following formula to calculate the expected dividend
Expected Dividend = Current Dividend x ( 1 + Growth rate )^n
Year ______ Working _________ Dividend
1 ______ $0.20 x ( 1 + 16% )^1 ____ $0.232
2______ $0.20 x ( 1 + 16% )^2 ____ $0.269
3______ $0.20 x ( 1 + 16% )^3 ____ $0.312
4______ $0.20 x ( 1 + 16% )^4 ____ $0.362
5______$0.362 x ( 1 + 3.5% ) _____$0.375
Now calculate the present value of each year's dividend using following formula
PV = Dividend / ( 1 + required rate of return )^numbers of years
Year _____ Working ______________________ PRESENT VALUES
1 ______ $0.232 / ( 1 + 15.5% )^1 _____________ $0.201
2______ $0.269 / ( 1 + 15.5% )^2 _____________$0.202
3______ $0.312 / ( 1 + 15.5% )^3 _____________ $0.203
4______ $0.362 / ( 1 + 15.5% )^4 _____________$0.203
5______$0.375 / (15.5% - 3.5% ) ) / ( 1 + 15.5% ) __$1.749
Now calculate the sum of present value of all the dividends
Value of stock = $0.201 + $0.202 + $0.203 + $0.203 + $1.755
Value of stock = $2.558