Problem 22 - Accounting

Question

The table below shows the stock price, earnings per share, and dividends per share for three companies as of October 2007: $$ \begin{array}{lrrr} & \text { Price } & \begin{array}{c} \text { Earnings } \\ \text { per Share } \end{array} & \begin{array}{c} \text { Dividends } \\ \text { per Share } \end{array} \\ \hline \text { Bank of America Corporation } & \$ 52.99 & \$ 4.59 & \$ 2.12 \\\ \text { eBay Inc. } & 33.51 & 0.57 & 0.00 \\ \text { The Coca-Cola Company } & 47.76 & 2.16 & 1.24 \end{array} $$ a. Determine the price-earnings ratio and dividend yield for the three companies. Round to one decimal place. b. Explain the differences in these ratios across the three companies.

Step-by-Step Solution

Answer

a. Bank of America: P/E 11.5, Yield 4.0%; eBay: P/E 58.8, Yield 0.0%; Coca-Cola: P/E 22.1, Yield 2.6%. b. Differences are due to sector expectations, growth prospects, and maturity level.

Step 1: Understand Price-Earnings Ratio Calculation

The price-earnings (P/E) ratio is calculated by dividing the stock price by the earnings per share (EPS). The formula for P/E ratio is: \[\text{P/E Ratio} = \frac{\text{Price}}{\text{Earnings per Share}}\]

Step 2: Calculate P/E Ratio for Each Company

For Bank of America Corporation, calculate the P/E ratio: \[\text{P/E Ratio} = \frac{52.99}{4.59} \approx 11.5\]For eBay Inc., calculate the P/E ratio:\[\text{P/E Ratio} = \frac{33.51}{0.57} \approx 58.8\]For The Coca-Cola Company, calculate the P/E ratio:\[\text{P/E Ratio} = \frac{47.76}{2.16} \approx 22.1\]

Step 3: Understand Dividend Yield Calculation

The dividend yield is calculated by dividing the dividends per share by the stock price. The formula for dividend yield is: \[\text{Dividend Yield} = \frac{\text{Dividends per Share}}{\text{Price}} \times 100\]

Step 4: Calculate Dividend Yield for Each Company

For Bank of America Corporation, calculate the dividend yield: \[\text{Dividend Yield} = \frac{2.12}{52.99} \times 100 \approx 4.0\%\]For eBay Inc., calculate the dividend yield:\[\text{Dividend Yield} = \frac{0.00}{33.51} \times 100 = 0.0\%\]For The Coca-Cola Company, calculate the dividend yield:\[\text{Dividend Yield} = \frac{1.24}{47.76} \times 100 \approx 2.6\%\]

Step 5: Compare and Discuss the Ratios

Bank of America has a higher dividend yield (4.0%) compared to the others, which might indicate a more mature company distributing profits to shareholders. It also has a lower P/E ratio (11.5), suggesting it might be undervalued or have lower growth expectations than others. Ebay Inc. has the highest P/E ratio (58.8), suggesting higher growth expectations, possibly due to its tech sector presence, but offers no dividend (0.0% yield). The Coca-Cola Company's P/E ratio (22.1) and dividend yield (2.6%) are moderate, reflecting stable growth and a regular dividend payout.

Key Concepts

Price-Earnings Ratio

The Price-Earnings (P/E) ratio is an essential tool in stock analysis, offering a snapshot of what investors are willing to pay per dollar of earnings. This ratio is calculated using the formula: \[\text{P/E Ratio} = \frac{\text{Price}}{\text{Earnings per Share}}\] This straightforward equation lets you quickly gauge how a company's current share price compares to its earnings power. A higher P/E ratio suggests that investors expect significant growth in the future and are willing to pay more to position for this potential. It reflects optimism about future earnings growth.
Conversely, a lower P/E ratio may indicate that the company is undervalued or possibly facing challenges impacting its future prospects. It might also simply suggest that the company is mature, with less room for rapid growth.

• Bank of America has a P/E of 11.5, implying potential undervaluation or lower growth expectations.
• eBay's P/E of 58.8 suggests high growth expectations, typical for tech companies.
• The Coca-Cola Company's moderate P/E of 22.1 reflects a balance of stability with controlled growth.

Understanding and comparing P/E ratios among companies helps investors tailor their investment strategies to their risk tolerance and growth expectations.

Dividend Yield

Dividend yield is a measure of the income generated by a stock relative to its price, showing how much cash return an investor can expect for each dollar invested. Calculate it using the formula: \[\text{Dividend Yield} = \frac{\text{Dividends per Share}}{\text{Price}} \times 100\] A higher dividend yield indicates a more generous payout to shareholders, which can be attractive for income-focused investors. However, a very high yield might signal increased financial risk, possibly due to a falling stock price.

• Bank of America's 4.0% dividend yield suggests a mature company providing regular income to investors.
• eBay, with a 0.0% yield, reinvests profits back into the company, typical for growth-centric firms.
• The Coca-Cola Company's 2.6% yield indicates a balance of income with growth, signaling a stable payout strategy.

Investors often use dividend yields to evaluate the attractiveness of a stock, weighing current income potential against the desire for capital growth.

Stock Analysis

Stock analysis involves evaluating different financial ratios to understand a company's performance, risk, and potential return. By examining both the P/E ratio and dividend yield, investors can paint a comprehensive picture of a company's market perception and its fundamentals.

• P/E Ratio: Indicates market expectations about a company's growth potential. Compare this ratio across similar industries to identify buying opportunities.
• Dividend Yield: Shows the income potential of the stock. Use it to balance the need for income and growth in your portfolio.
• Comprehensive View: A lower P/E ratio with a higher dividend yield might suggest a value stock, while a higher P/E ratio with little or no dividend indicates growth expectations.

By monitoring these indicators, you can make informed decisions on whether to buy, hold, or sell a stock. Each metric provides insights into different aspects of the company's performance and potential. Successful stock analysis relies on understanding the nuances of each ratio, helping build a nuanced investment strategy tailored to individual financial goals.