The market price of a share of preferred stock is $27.93. The market uses a discount rate of 7.14%. What is the dividend?

1 answer

To find the dividend of a share of preferred stock given its market price and the discount rate, you can use the formula for the price of preferred stock:

\[ P = \frac{D}{r} \]

Where:

  • \(P\) is the price of the stock (in this case, $27.93),
  • \(D\) is the annual dividend,
  • \(r\) is the discount rate (in this case, 7.14% or 0.0714).

You can rearrange the formula to solve for the dividend \(D\):

\[ D = P \times r \]

Now, substituting the known values:

\[ D = 27.93 \times 0.0714 \]

Calculating this gives:

\[ D \approx 1.996622 \]

Rounding to two decimal places, the annual dividend is approximately $2.00.