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

Short Answer

Expert verified
The required rate of return is 8.33%.

Step by step solution

01

Understand Perpetual Preferred Stock

Perpetual preferred stock means the company pays dividends indefinitely. The value of this stock is based on the dividends it pays and the required rate of return, denoted as 'r'.
02

Identify Known Values

We know the price of the stock, denoted as P, is \(\\(60\). The annual dividend, denoted as D, is \(\\)5\). We need to find the required rate of return, represented by r.
03

Apply the Formula

The formula to find the required rate of return for perpetual preferred stock is: \[ r = \frac{D}{P} \]Substitute the known values into the formula: \[ r = \frac{5}{60} \]
04

Calculate the Required Rate of Return

Perform the division to determine 'r': \[ r = \frac{5}{60} = 0.0833 \]
05

Convert to Percentage

To express the required rate of return as a percentage, multiply 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.

Required Rate of Return
The required rate of return is a crucial concept in finance, especially when dealing with investments like perpetual preferred stock. It represents the minimum percentage return an investor expects to earn from their investment, considering the risk involved.
For perpetual preferred stock, the required rate of return is derived from the dividends it pays and the stock's market price. It essentially reflects what investors demand as compensation for the risk they undertake by investing in the stock.
To find the required rate of return for perpetual preferred stock, use the formula: \[ r = \frac{D}{P} \]where \(D\) is the annual dividend and \(P\) is the current market price. This formula calculates the expected return based on the assumption that dividends remain constant indefinitely.
This concept is vital because it helps investors decide whether a stock is adequately priced compared to the return it offers in relation to its inherent risk.
Dividend Calculation
Dividends are the cash payments made by companies to shareholders, often derived from profits. In the context of perpetual preferred stock, dividends are typically fixed and paid continuously over time.
For Fee Founders' stock, the dividend given is \(\$5\) per share annually, which remains constant regardless of the company's income fluctuations. This stability makes preferred stocks attractive for income-focused investors.
Understanding how dividends factor into the calculation of returns is essential. When the dividend amount is divided by the stock price, it provides the required rate of return.
This relationship underscores the importance of stable dividend payments in evaluating the attractiveness and potential profitability of investing in preferred stocks.
Financial Formulas
Financial formulas are the backbone of analyzing investments and making informed decisions. In our exercise, the primary formula used is for calculating the required rate of return for perpetual preferred stock.
The formula: \[ r = \frac{D}{P} \]is about understanding how much return an investor can expect from their investment, given the stock price and its annual dividend.
This calculation is straightforward and powerful, allowing investors to quickly assess the viability of an investment.
To convert this to a percentage, the division result must be multiplied by 100, making it easier for investors to comprehend and compare different investment options. Mastering these simple formulas can significantly enhance an investor's ability to evaluate and make sound financial decisions.

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Most popular questions from this chapter

Warr Corporation just paid a dividend of \(\$ 1.50\) a share (that is, \(\left.\mathrm{D}_{0}=\$ 1.50\right) .\) The dividend is expected to grow \(7 \%\) a year for the next 3 years and then at \(5 \%\) a year thereafter. What is the expected dividend per share for each of the next 5 years?

A stock is expected to pay a dividend of \(\$ 0.50\) at the end of the year (that is, \(D_{1}=0.50\) ), and it should continue to grow at a constant rate of \(7 \%\) a year. If its required return is \(12 \%,\) what is the stock's expected price 4 years from today?

Hart Enterprises recently paid a dividend, Do, of \(\$ 1.25 .\) It expects to have nonconstant growth of \(20 \%\) for 2 years followed by a constant rate of \(5 \%\) thereafter. The firm's required return is \(10 \%\) a. How far away is the terminal, or horizon, date? b. What is the firm's horizon, or terminal, value? c. What is the firm's intrinsic value today, \(\hat{\mathrm{P}}_{0} ?\)

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

What will be the nominal rate of return on a perpetual preferred stock with a \(\$ 100\) par value, a stated dividend of \(8 \%\) of par, and a current market price of (a) \(\$ 60,(\mathrm{b}) \$ 80,(\mathrm{c}) \$ 100,\) and (d) \(\$ 140 ?\)

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