Asked by Makaylee Wright on Jun 28, 2024

verifed

Verified

E.M.Roussakis Inc.'s stock currently sells for $45 per share.The stock's dividend is projected to increase at a constant rate of 3.75% per year.The required rate of return on the stock,rs,is 15.50%.What is Roussakis' expected price 5 years from now?

A) $50.14
B) $51.42
C) $52.74
D) $54.09

Constant Rate

This term refers to a fixed rate over a period of time, often used in the context of financial instruments with fixed interest rates.

Projected Increase

An estimate or forecast of the amount by which something is expected to grow within a certain time frame.

  • Grasp the association among a stock's pricing, its dividend disbursements, and growth pace.
  • Analyze the impact of fluctuations in growth rates and required yields on the valuation of stocks.
verifed

Verified Answer

SJ
Sarah JohnstonJul 01, 2024
Final Answer :
D
Explanation :
The expected price 5 years from now can be calculated using the dividend growth model. The formula for the price of a stock at time T (P_T) is given by: P_T = D_0 * (1 + g)^(T+1) / (r - g), where D_0 is the current dividend, g is the growth rate, r is the required rate of return, and T is the number of years in the future. However, since the current dividend (D_0) is not provided, we use the current price and the growth rate to find the future price directly: P_5 = P_0 * (1 + g)^5, where P_0 is the current price, and g is the growth rate. Plugging in the values: P_5 = $45 * (1 + 0.0375)^5 = $54.09.