Answer:
Step-by-step explanation:
To calculate the stock price in five years based on the given information, we'll first determine the dividend per share (DPS) in the current year and then use it to calculate the stock price using the price-to-earnings (P/E) ratio.
Given:
Current profit per share (EPS) = $2.61
P/E ratio = 19.90
Dividend growth rate = 6.25% per year
Step 1: Calculate the dividend per share (DPS) in the current year.
DPS = EPS * (1 + growth rate)
DPS = $2.61 * (1 + 0.0625)
DPS = $2.61 * 1.0625
DPS = $2.77
Step 2: Calculate the stock price in five years if the P/E ratio remains unchanged.
Stock Price = DPS * P/E ratio
Stock Price = $2.77 * 19.90
Stock Price = $55.07
Therefore, if the P/E ratio remains unchanged, the stock price in five years would be approximately $55.07.
Step 3: Calculate the stock price in five years if the P/E ratio increases to 26.
Stock Price = DPS * New P/E ratio
Stock Price = $2.77 * 26
Stock Price = $71.02
Therefore, if the P/E ratio increases to 26 in five years, the stock price would be approximately $71.02.