A preferred stock has a par value of $110 and pays an annual dividend of 5% of par. If similar investments have an annual rate of return of 3%, what is the current value of this preferred stock. (round to nearest cent)
Dividend Valuation
Dividend refers to a reward or cash that a company gives to its shareholders out of the profits. Dividends can be issued in various forms such as cash payment, stocks, or in any other form as per the company norms. It is usually a part of the profit that the company shares with its shareholders.
Dividend Discount Model
Dividend payments are generally paid to investors or shareholders of a company when the company earns profit for the year, thus representing growth. The dividend discount model is an important method used to forecast the price of a company’s stock. It is based on the computation methodology that the present value of all its future dividends is equivalent to the value of the company.
Capital Gains Yield
It may be referred to as the earnings generated on an investment over a particular period of time. It is generally expressed as a percentage and includes some dividends or interest earned by holding a particular security. Cases, where it is higher normally, indicate the higher income and lower risk. It is mostly computed on an annual basis and is different from the total return on investment. In case it becomes too high, indicates that either the stock prices are going down or the company is paying higher dividends.
Stock Valuation
In simple words, stock valuation is a tool to calculate the current price, or value, of a company. It is used to not only calculate the value of the company but help an investor decide if they want to buy, sell or hold a company's stocks.
![### Valuation of Preferred Stock
A preferred stock has a par value of $110 and pays an annual dividend of 5% of its par value. If similar investments have an annual rate of return of 3%, what is the current value of this preferred stock? (Round to the nearest cent.)
### Explanation
To find the current value of this preferred stock, we need to calculate the dividend it pays and then apply the required rate of return for similar investments:
1. **Calculate the Dividend:**
- **Annual Dividend = Par Value × Dividend Rate**
- Annual Dividend = $110 × 5% = $5.50
2. **Calculate the Current Value:**
- The formula for valuing a perpetual preferred stock is:
\[
\text{Current Value} = \frac{\text{Annual Dividend}}{\text{Required Rate of Return}}
\]
- Using the given rate of return of 3%:
\[
\text{Current Value} = \frac{5.50}{0.03} = \text{183.33}
\]
Therefore, the current value of the preferred stock is **$183.33**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a73170e-31b8-4218-84d2-e6b7e7754746%2F97934d95-685a-4c10-b80b-6e431b230765%2Fssafgmm_processed.jpeg&w=3840&q=75)
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