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Fee Founders has preferred stock outstanding that pays a dividend of \(\$ 5\) at the end of each year. The preferred stock sells for \(\$ 60\) a share. What is the preferred stock's required rate of return?

Short Answer

Expert verified
The required rate of return is 8.33%.

Step by step solution

01

Understand the Problem

The problem asks us to find the required rate of return on preferred stock that pays a fixed dividend. We know the dividend (\\(5) and the current stock price (\\)60).
02

Recall the Formula

The required rate of return for preferred stock can be calculated using the formula:\[ \text{Required Rate of Return} = \frac{\text{Annual Dividend}}{\text{Current Stock Price}} \]
03

Substitute Known Values

Substitute the known values into the formula:\[ \text{Required Rate of Return} = \frac{5}{60} \]
04

Calculate the Rate of Return

Divide the annual dividend by the current stock price:\[ \frac{5}{60} = 0.0833 \]
05

Convert to Percentage

To express the required rate of return as a percentage, multiply the decimal by 100:\[ 0.0833 \times 100 = 8.33\% \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Dividend Yield Formula
The Dividend Yield Formula is a key metric in understanding the return on a stock relative to its price. It's particularly useful when evaluating preferred stock. Preferred stock typically offers a fixed dividend, making it straightforward to calculate the yield. Here's how it works:When you buy a share of stock, you are often entitled to some earnings in the form of dividends paid by the company. The Dividend Yield tells you how much you earn annually from dividends, expressed as a percentage of your investment. For preferred stock, this yield is calculated by dividing the annual dividend payment by the current market price of the stock. Here's the formula:\[\text{Dividend Yield} = \frac{\text{Annual Dividend}}{\text{Current Stock Price}} \times 100\]For example, if a stock pays an annual dividend of \(\\(5\) and sells for \(\\)60\), the Dividend Yield is calculated as \(\frac{5}{60} \times 100 = 8.33\%\). This means that each year, you earn 8.33% of your investment back through dividend payments. This metric helps investors compare the relative attractiveness of different dividend-paying stocks.
Stock Valuation
Stock Valuation is the process of determining the value of a company's stock based on earnings and market factors. It's crucial for investors who want to understand whether a stock is underpriced, fairly priced, or overpriced. For preferred stock, valuation is relatively simpler compared to common stock, because of the fixed dividend payments. These stocks don't fluctuate in dividend payments due to the company's earnings, which makes the valuation formula mentioned above exceptionally handy. Valuing preferred stock involves looking primarily at the fixed dividends. Since the dividend amount is stable, investors focus on the dividend yield and their required rate of return. The required rate of return for preferred stock tells an investor what they should expect to earn given the stock’s current price and dividends. In practice, if a preferred stock's required rate of return is lower than the yield, it may be overvalued; if higher, it might be undervalued. Hence, determining the right valuation helps investors make informed decisions regarding their investments in preferred stocks.
Investment Analysis
Investment Analysis involves evaluating financial instruments to ensure they meet an investor's goals and risk tolerance. In essence, it involves a deep dive into analyzing the potential return on investment vis-a-vis the associated risks. Preferred stock provides a unique investment profile - they are considered to carry less risk compared to common stocks due to fixed dividend payments. This makes them attractive to risk-averse investors seeking steady income with less volatility. Here are some considerations in investment analysis:
  • Risk Assessment: Analyze the stability of dividend payments and the strength of the issuing company.
  • Return on Investment: Compare the required rate of return with other potential investments. Ensure the returns align with your financial objectives.
  • Market Conditions: Look at the broader market trends, such as interest rate movements, which can affect preferred stock yields.
Investment Analysis is not static. Investors need to continuously assess their portfolios, considering new data and changing market conditions, to make informed decisions. This iterative process helps in aligning investment choices with the investor's ever-evolving personal and financial circumstances.

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Most popular questions from this chapter

Taussig Technologies Corporation (TTC) has been growing at a rate of 20 percent per year in recent years. This same growth rate is expected to last for another 2 years. a. If \(\mathrm{D}_{0}=\$ 1.60, \mathrm{k}=10 \%,\) and \(\mathrm{g}_{\mathrm{n}}=6 \%,\) what is TTC's stock worth today? What are its expected dividend yield and capital gains yield at this time? b. Now assume that TTC's period of supernormal growth is to last for 5 years rather than 2 years. How would this affect its price, dividend yield, and capital gains yield? Answer in words only. c. What will be TTC's dividend yield and capital gains yield once its period of supernormal growth ends? (Hint: These values will be the same regardless of whether you examine the case of 2 or 5 years of supernormal growth; the calculations are very easy. d. Of what interest to investors is the changing relationship between dividend yield and capital gains yield over time?

The beta coefficient for Stock \(C\) is \(b_{C}=0.4,\) whereas that for Stock \(D\) is \(b_{D}=-0.5\) (Stock D's beta is negative, indicating that its rate of return rises whenever returns on most other stocks fall. There are very few negative beta stocks, although collection agency stocks are sometimes cited as an example. a. If the risk-free rate is 9 percent and the expected rate of return on an average stock is 13 percent, what are the required rates of return on Stocks \(C\) and \(D\) ? b. For Stock \(C\), suppose the current price, \(P_{0}\), is \(\$ 25 ;\) the next expected dividend, \(D_{1}\), is \(\$ 1.50 ;\) and the stock's expected constant growth rate is 4 percent. Is the stock in equilibrium? Explain, and describe what will happen if the stock is not in equilibrium.

Microtech Corporation is expanding rapidly, and it currently needs to retain all of its earnings, hence it does not pay any dividends. However, investors expect Microtech to begin paying dividends, with the first dividend of \(\$ 1.00\) coming 3 years from today. The dividend should grow rapidly \(-\) at a rate of 50 percent per year - during Years 4 and 5 After Year \(5,\) the company should grow at a constant rate of 8 percent per year. If the required return on the stock is 15 percent, what is the value of the stock today?

A company currently pays a dividend of \(\$ 2\) per share, \(D_{0}=\$ 2 .\) It is estimated that the company's dividend will grow at a rate of 20 percent per year for the next 2 years, then the dividend will grow at a constant rate of 7 percent thereafter. The company's stock has a beta equal to \(1.2,\) the risk- free rate is 7.5 percent, and the market risk premium is 4 percent. What would you estimate is the stock's current price?

Assume that the average firm in your company's industry is expected to grow at a constant rate of 6 percent and its dividend yield is 7 percent. Your company is about as risky as the average firm in the industry, but it has just successfully completed some \(\mathrm{R} \& \mathrm{D}\) work that leads you to expect that its earnings and dividends will grow at a rate of 50 percent \(\left[\mathrm{D}_{1}=\mathrm{D}_{0}(1+\mathrm{g})=\mathrm{D}_{0}(1.50)\right]\) this year and 25 percent the following year, after which growth should match the 6 percent industry average rate. The last dividend paid \(\left(\mathrm{D}_{0}\right)\) was \(\$ 1.00 .\) What is the value per share of your firm's stock?

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