Step 1 :Calculate the present value of the first dividend using the formula \( PV = \frac{D}{{(1 + r)^t}} \) where \( D \) is the dividend, \( r \) is the discount rate, and \( t \) is the time until the first dividend
Step 2 :Substitute the given values into the formula: \( PV = \frac{0.34}{{(1 + 0.08)^3}} \)
Step 3 :Calculate the present value of the first dividend: \( PV = \frac{0.34}{{(1.08)^3}} \)
Step 4 :Find the present value of the first dividend: \( PV = 0.2699029619468577 \)
Step 5 :Use the Gordon Growth Model to calculate the value of the stock: \( P = \frac{D}{{r - g}} \) where \( P \) is the price of the stock, \( D \) is the expected dividend one year from now, \( r \) is the discount rate, and \( g \) is the growth rate
Step 6 :Substitute the values into the Gordon Growth Model: \( P = \frac{0.34 \times (1 + 0.07)}{{0.08 - 0.07}} \)
Step 7 :Calculate the value of the stock: \( P = \frac{0.34 \times 1.07}{{0.01}} \)
Step 8 :Find the value of the stock: \( P = 26.99 \)
Step 9 :The value of the stock is \(\boxed{26.99}\)