196k views
0 votes
A preferred stock has a face value of $100 and pays annual dividends at a rate of 8 percent. The required rate of return on this stock is 12 percent. What is the price of this security if the next dividend is paid in exactly one year?

User Gregwinn
by
4.5k points

2 Answers

3 votes

Answer: $66.67

Step-by-step explanation:

GIVEN the following ;

Face value of preferred stock = $100

Dividend rate per annum = 8% = 0.08

Required rate of return = 12% = 0.12

Price of stock if Dividend is paid in exactly one year =?

Price of stock = ( Dividend ÷ Rate of return)

Dividend = (annual dividend rate × face value of stock)

Dividend = 0.08 × $100 = $8

Price of stock = ($8 ÷ 0.12)

Price of stock = $66.667

Therefore price of security if Dividend is paid in exactly one year = $66.67

User Maxim Blinov
by
4.5k points
3 votes

Answer: $66.67

Step-by-step explanation:

The value of a Preferred Stock is calculated with the following formula,

Value of the preferred stock = Annual Dividend/rate of return

The Annual Dividend is 8% of the face value so,

= 0.08 * $100

= $8

Therefore the Value of the Stock is,

= 8/0.12

= $66.67

User Ihor Yanovchyk
by
5.2k points