Answer:
$7.63
Explanation:
Worth of the stock is the present value of all the cash flows associated with the stock. Dividend is the only cash flow that a stock holder receives against its investment in the stocks. We need to calculate the present values of all the dividend payments.
Formula for PV of dividend
PV of Dividend = Dividend x ( 1 + r )^-n
1st year
PV of Dividend = $0.63 x ( 1 + 15% )^-1 = $0.55
2nd year
PV of Dividend = $0.68 x ( 1 + 15% )^-2 = $0.51
3rd year
PV of Dividend = $0.83 x ( 1 + 15% )^-3 = $0.55
4th year
PV of Dividend = $1.13 x ( 1 + 15% )^-4 = $0.65
After four years the dividend will grow at a constant rate of 4.1%, so we will use the following formula to calculate the present value
PV of Dividend = [ $1.13 x ( 1 + 4.1% ) / ( 15% - 4.1% ) ] x [ ( 1 + 15% )^-5 ]
PV of Dividend = $5.37
Value of Stock = $0.55 + $0.51 + $0.55 + $0.65 + $5.37 = $7.63
