Question

E-Eyes has a new issue of preferred stock it calls 20/20 preferred. The stock will pay a $20 dividend per year, but the first dividend will not be paid until 20 years from today. If you require a return of 10.5 percent on this stock, how much should you pay today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Current stock price

Answer 1

$25.86.

Step-by-step explanation:

To address this problem we first calculate the present value of all dividend received at time t = 20, then we discount that sum to time t = 0 (now).

The cashflow pattern of this preferred stock is similar to perpetuty.

Stock value at time t = 20 = Dividend/Required rate of return = 20/10.5% = 190.48

Stock value at time t = 0 = (Stock value at time t = 20)/(1 + Required rate of return)^20 = 190.48/(1 + 10.5%)^20 = 25.86.