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

Short Answer

Expert verified
The company's cost of preferred stock, \(k_{p}\), is 8\%.

Step by step solution

01

Understanding the Problem

We have a perpetual preferred stock priced at \(\\(47.50\) per share, with an annual constant dividend of \(\\)3.80\) per share. We need to find the cost of preferred stock, denoted as \(k_{p}\).
02

Formula for Cost of Preferred Stock

The formula to calculate the cost of preferred stock is given by:\[k_{p} = \frac{D}{P}\]where \(D\) is the annual dividend, and \(P\) is the price of the preferred stock.
03

Substitute the Values

Substitute \(D = \\(3.80\) and \(P = \\)47.50\) into the formula:\[k_{p} = \frac{3.80}{47.50}\]
04

Calculate \(k_{p}\)

Perform the division:\[k_{p} = \frac{3.80}{47.50} = 0.08\]Convert this to a percentage to express the cost of preferred stock.
05

Convert to Percentage

Multiply the result by 100 to convert it into a percentage:\[k_{p} = 0.08 \times 100 = 8\%\]The company's cost of preferred stock is \(8\%\).

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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 form of equity. It consists of shares that provide investors with a fixed dividend indefinitely. Unlike common stock, perpetual preferred stock carries no maturity date. This means the company is not obligated to repay the principal amount. One of the main benefits of this type of stock is the predictable income stream it offers to investors.

For companies, perpetual preferred stock is a way to raise capital without increasing debt levels. It can be an attractive option, especially during times of fluctuating interest rates. The key aspect to remember is that these stocks come with a constant dividend payment, making them a hybrid between equities and bonds. Investors typically expect a higher return compared to bonds, due to the absence of a maturity date.
Annual Dividend
The annual dividend is a fixed amount paid each year to shareholders. In the context of perpetual preferred stocks, it's an important incentive for investors. Since the stock has no end date, the dividend serves as a regular source of income.

Financially, the annual dividend is a portion of the company's earnings allocated for distribution. It reflects the company's profitability and its commitment to returning value to shareholders.

For Tunney Industries, the annual dividend is given as $3.80 per share.
This indicates a stable earning potential for investors, assuming the company's financial health remains strong. It's worth noting that dividends can influence the perceived risk of the investment. Consistent dividends often signal financial stability and trustworthiness.
Financial Management Formula
Understanding the financial management formula for calculating the cost of preferred stock is crucial. This formula allows investors and companies to assess the cost of financing using preferred stock.

The formula is straightforward:
  • \(k_{p} = \frac{D}{P}\)
Where:
  • \(D\) is the annual dividend, in this case, \(3.80.
  • \(P\) is the price per share, which is \)47.50 for Tunney Industries.
This calculation helps in understanding what percentage of the investment cost is being paid out as a return to investors. A clear grasp of this formula is essential for effective financial management decisions. It aids in comparing the cost of different financing methods and optimizing the company's capital structure.
Investment Cost Calculation
Calculating the investment cost for preferred stock involves evaluating what the company pays in dividends relative to the price of the stock. It's a critical aspect of determining the viability of financing through preferred stocks.

To find the cost of preferred stock, you divide the total annual dividend by the price per share, then multiply by 100 to convert it to a percentage. For instance, with Tunney Industries, the cost of preferred stock is calculated as follows:
  • Cost = \(\left(\frac{3.80}{47.50}\right) \times 100 = 8\%\)
This demonstrates that Tunney Industries pays an 8% cost on its preferred stock each year relative to the amount raised.

This simple calculation is fundamental for financial planners and investors. It helps them decide whether the cost aligns with the company's broader financial strategy and investment goals.

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Most popular questions from this chapter

The Bouchard Company's EPS was \(\$ 6.50\) in 2001 and \(\$ 4.42\) in \(1996 .\) The company pays out 40 percent of its earnings as dividends, and the stock sells for \(\$ 36\) a. Calculate the past growth rate in earnings. (Hint: This is a 5 -year growth period.) b. Calculate the next expected dividend per share, \(\mathrm{D}_{1} .\left(\mathrm{D}_{0}=0.4(\$ 6.50)=\$ 2.60 .\right) \mathrm{As}\) sume that the past growth rate will continue. c. What is the cost of retained earnings, \(k\), for the Bouchard Company?

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Adams Corporation has four investment projects with the following costs and rates of return: $$\begin{array}{lcc} & \text { COST } & \text { RATE OF RETURN } \\\\\hline \text { Project 1 } & \$ 2,000 & 16.00 \% \\\\\text { Project 2 } & 3,000 & 15.00 \\\\\text { Project 3 } & 5,000 & 13.75 \\ \text { Project 4 } & 2,000 & 12.50\end{array}$$ The company estimates that it can issue debt at a before-tax cost of 10 percent, and its tax rate is 30 percent. The company also can issue preferred stock at \(\$ 49\) per share, which pays a constant dividend of \(\$ 5\) per year. The company's stock currently sells at \(\$ 36\) per share. The year-end dividend, \(D_{1}\), is expected to be \(\$ 3.50\), and the dividend is expected to grow at a constant rate of 6 percent per year. The company's capital structure consists of 75 percent common stock, 15 percent debt, and 10 percent preferred stock. a. What is the cost of each of the capital components? b. What is the WACC? c. Which projects should the firm select if the projects are all of average risk?

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