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Tunney Industries can issue perpetual preferred stock at a price of \(\$ 47.50\) a share. The stock would pay a constant annual dividend of \(\$ 3.80\) a share. What is the company's cost of preferred stock, \(r_{p}\) ?

Short Answer

Expert verified
The cost of preferred stock, \( r_p \), is 8%.

Step by step solution

01

Understanding Perpetual Preferred Stock

Perpetual preferred stock is a type of equity that pays a fixed dividend to shareholders indefinitely. To determine the cost of preferred stock, denoted as \( r_p \), we use the formula: \[ r_p = \frac{D}{P_0} \] where \( D \) is the annual dividend, and \( P_0 \) is the current price per share.
02

Identifying Variables

From the problem statement, we have the following: the annual dividend \( D \) is given as \\(3.80, and the current price per share \( P_0 \) is \\)47.50.
03

Applying the Formula

Substitute the values into the formula: \[ r_p = \frac{3.80}{47.50} \] This equation calculates the cost of preferred stock based on the given dividend and stock price.
04

Calculating the Cost

Perform the division to find \( r_p \): \[ r_p = \frac{3.80}{47.50} = 0.08 \] or 8%.

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Key Concepts

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

Perpetual Preferred Stock
Perpetual preferred stock is a unique investment that resembles both stocks and bonds. Unlike common stocks, its holders receive a fixed dividend that is promised indefinitely. The 'perpetual' part means that these stocks have no maturity date, unlike bonds that eventually pay back the principal. This can make them appealing to investors looking for stable, long-term income from their investments. The reliable dividend payment acts much like the interest on a bond. However, unlike bonds, the company is under no obligation to repay the principal.

For companies, issuing perpetual preferred stock can be a strategy for raising capital without the pressure of repaying debt. It's also beneficial for their financial structure because dividends are usually paid from after-tax profits, meaning they aren't tax-deductible like bond interest payments. This allows companies some balance sheet flexibility while providing income to shareholders.
Equity Dividends
Equity dividends are payments made to shareholders from a company's earnings. Preferred stock dividends stand out as they are fixed and paid before any dividends on common stock. For perpetual preferred stocks, these dividends continue indefinitely unless the company decides to cease paying them, which usually happens if they face financial difficulties.

These dividends can serve as a steady source of income for investors, akin to receiving rent from a property. The consistent and predictable payments make perpetual preferred stock a popular choice for conservative investors who seek regular income rather than capital appreciation.
  • The dividend amount is decided at issuance and remains constant throughout the life of the stock.
  • Investors have priority over common shareholders when it comes to dividend payments.
  • If a company misses a dividend payment, they might accumulate, especially in 'cumulative' preferred stocks.
Financial Formulas
Understanding financial formulas is key to successfully evaluating investment opportunities like preferred stock. One common formula relationships investors often use is the calculation of the cost of preferred stock, denoted as \( r_p \). This metric helps determine how much a company pays in dividends relative to the stock’s price.

The formula is straightforward:
  • \( r_p = \frac{D}{P_0} \)
  • \( D \) stands for the annual dividend payment.
  • \( P_0 \) represents the current price per share of the preferred stock.
This simple division helps investors and companies understand the yield on this type of equity. The resulting percentage reflects the cost or required rate of return for the company to compensate shareholders for investing their capital in these stocks.
Preferred Stock Valuation
Valuing preferred stock, especially perpetual ones, relies heavily on their dividend payments and the current stock price. Essentially, preferred stock valuation aims to determine the rate of return or cost of the stock, known as the cost of preferred stock \( r_p \). Since perpetual preferred stocks pay consistent dividends indefinitely, this becomes a straightforward calculation where the dividend is divided by the stock’s price.
Investors use this valuation method to assess whether the stock is a sound investment relative to other opportunities. An 8% cost, as calculated, provides a benchmark for how much Tunney Industries effectively pays shareholders per year for their investment.

Factors affecting valuation include:
  • Interest rates: Higher interest rates can make preferred stock less attractive as other investments offer better returns.
  • Market conditions: Economic stability can influence investor confidence and affect preferred stock pricing.
  • Company financial health: A stable and profitable company increases the reliability of dividend payments.
Understanding these elements is crucial for assessing the true value and potential return of holding preferred stock.

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Most popular questions from this chapter

WACC Midwest Electric Company (MEC) uses only debt and common equity. It can borrow unlimited amounts at an interest rate of \(\mathrm{r}_{\mathrm{d}}=10 \%\) as long as it finances at its target capital structure, which calls for \(45 \%\) debt and \(55 \%\) common equity. Its last dividend was \(\$ 2,\) its expected constant growth rate is \(4 \%,\) and its common stock sells for \(\$ 20 .\) MEC's tax rate is \(40 \%\). Two projects are available: Project \(A\) has a rate of return of \(13 \%\), while Project B's return is \(10 \%\). These two projects are equally risky and about as risky as the firm's existing assets. a. What is its cost of common equity? b. What is the WACC? c. Which projects should Midwest accept?

WACC AND PERCENTAGE OF DEBT FINANCING Hook Industries' capital structure consists solely of debt and common equity. It can issue debt at \(\mathrm{r}_{\mathrm{d}}=11 \%,\) and its common stock currently pays a \(\$ 2.00\) dividend per share \(\left(\mathrm{D}_{0}=\$ 2.00\right) .\) The stock's price is currently \(\$ 24.75\) its dividend is expected to grow at a constant rate of \(7 \%\) per year, its tax rate is \(35 \%\), and its WACC is \(13.95 \%\). What percentage of the company's capital structure consists of debt?

The Evanec Company's next expected dividend, \(D_{1},\) is \(\$ 3.18 ;\) its growth rate is \(6 \% ;\) and its common stock now sells for \(\$ 36.00 .\) New stock (external equity) can be sold to net \(\$ 32.40\) per share. a. What is Evanec's cost of retained earnings, \(r_{B}\) ? b. What is Evanec's percentage flotation cost, \(\mathrm{F}\) ? c. What is Evanec's cost of new common stock, \(r_{c}\) ?

The future earnings, dividends, and common stock price of Carpetto Technologies Inc. are expected to grow \(7 \%\) per year. Carpetto's common stock currently sells for \(\$ 23.00\) per share; its last dividend was \(\$ 2.00 ;\) and it will pay a \(\$ 2.14\) dividend at the end of the current year. a. Using the DCF approach, what is its cost of common equity? b. If the firm's beta is \(1.6,\) the risk-free rate is \(9 \%\), and the average return on the market is \(13 \%,\) what will be the firm's cost of common equity using the CAPM approach? c. If the firm's bonds earn a return of \(12 \%\), based on the bond-yield-plus- risk-premium approach, what will be \(\mathrm{r}_{\mathrm{s}}\) ? Use the midpoint of the risk premium range discussed in Section \(10-5\) in your calculations. d. If you have equal confidence in the inputs used for the three approaches, what is your estimate of Carpetto's cost of common equity?

Klose Outfitters Inc. believes that its optimal capital structure consists of \(60 \%\) common equity and \(40 \%\) debt, and its tax rate is \(40 \%\). Klose must raise additional capital to fund its upcoming expansion. The firm will have \(\$ 2\) million of new retained earnings with a cost of \(\mathrm{r}_{\mathrm{s}}=12 \%\). New common stock in an amount up to \(\$ 6\) million would have a cost of \(\mathrm{r}_{\mathrm{c}}\) \(=15 \%\), Furthermore, Klose can raise up to \(\$ 3\) million of debt at an interest rate of \(r_{d}=10 \%\) and an additional \(\$ 4\) million of debt at \(r_{d}=12 \%\). The CFO estimates that a proposed expansion would require an investment of \(\$ 5.9\) million. What is the WACC for the last dollar raised to complete the expansion?

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