Math Problem Statement

A preferred stock from ABC pays $3.55 in annual dividends. If the required return on the preferred stock is 6.7%, what is the value of the stock?

Solution

To find the value of a preferred stock, you can use the following formula:

P0=DrP_0 = \frac{D}{r}

Where:

  • P0P_0 is the present value of the preferred stock (what we're solving for).
  • DD is the annual dividend paid by the preferred stock, which is $3.55.
  • rr is the required return, which is 6.7% or 0.067.

Step-by-Step Calculation:

  1. Plug in the values into the formula: P0=3.550.067P_0 = \frac{3.55}{0.067}

  2. Perform the division: P0=52.99P_0 = 52.99

Final Answer:

The value of ABC's preferred stock is $52.99.

Do you have any questions or need further details?

Related Questions:

  1. How does the required rate of return impact the value of preferred stock?
  2. What factors influence the required return on preferred stock?
  3. How is the value of preferred stock different from common stock?
  4. What happens to the value of preferred stock if interest rates change?
  5. How do companies determine the dividend rate for preferred stock?
  6. Can preferred stock dividends be increased over time?
  7. What are the risks associated with investing in preferred stock?
  8. How does the perpetual nature of preferred stock affect its valuation?

Tip:

Preferred stock is often less volatile than common stock and is valued primarily for its dividend payments. Understanding how interest rates affect required returns is key to valuing preferred stocks accurately.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Finance
Stock Valuation
Dividend Discount Model

Formulas

Preferred Stock Valuation: P_0 = D / r

Theorems

-

Suitable Grade Level

Professional