Matching Earnings and Valuation Ratios with Descriptions

This question asks us to match common earnings and valuation ratios with their correct descriptions. Understanding these ratios is crucial for analyzing a company's financial health and stock valuation.

Let's analyze each ratio and its definition:

1. Price - Earnings (P-E) ratio: This is one of the most widely used valuation metrics. It relates a company's share price to its earnings per share (EPS). The formula is:

\( \text{P-E Ratio} = \frac{\text{Stock Price}}{\text{Earnings Per Share (EPS)}} \)

This matches description (III) "Stock price divided by the earnings per share". So, A corresponds to (III).

2. Earnings Yield Ratio: This ratio is the inverse of the P-E ratio. It shows the percentage of each dollar invested in the stock that was earned by the company. The formula is:

\( \text{Earnings Yield} = \frac{\text{Earnings Per Share (EPS)}}{\text{Stock Price}} \)

This can also be calculated as \( \frac{1}{\text{P-E Ratio}} \). This matches description (IV) "Earning per share divided by stock price". So, B corresponds to (IV).

3. Price - Book (P/B) ratio: This ratio compares a company's market capitalization to its book value of equity. It indicates how much investors are willing to pay for each dollar of book value. The formula, often used per share, is:

\( \text{P/B Ratio} = \frac{\text{Stock Price}}{\text{Book Value Per Share}} \)

Book Value Per Share is derived from the accounting net worth (Shareholder's Equity) divided by the number of outstanding shares. This matches description (I) "Stock price divided by accounting net worth" (implying per share basis). So, C corresponds to (I).

4. Relative P/E ratio: This ratio compares a company's P/E ratio to that of a benchmark, such as the P/E ratio of the industry, sector, or a broad market index (like the S&P 500). It helps investors understand if a stock is expensive or cheap relative to its peers or the market. The formula is:

\( \text{Relative P/E Ratio} = \frac{\text{Company's P/E Ratio}}{\text{Benchmark P/E Ratio (e.g., Index P/E)}} \)

This matches description (II) "Firm's P/E ratio divided by an index P/E ratio". So, D corresponds to (II).

Putting the matches together:

• A — (III)
• B — (IV)
• C — (I)
• D — (II)

Let's verify this mapping with the given options.

The correct matching is A-(III), B-(IV), C-(I), D-(II).

Revision Table: Key Earnings and Valuation Ratios

Additional Information on Valuation Ratios

Valuation ratios are financial metrics used by investors to compare the relative value of different companies. They help determine if a stock is undervalued or overvalued compared to its earnings, book value, sales, or other financial metrics.

• P-E Ratio: A higher P/E typically suggests investors expect higher future growth, but it could also mean the stock is overvalued. It is most useful when comparing companies within the same industry.
• Earnings Yield: Sometimes used as an alternative to P/E, especially when comparing stocks to bond yields. A higher earnings yield might indicate a potentially undervalued stock or higher risk.
• P/B Ratio: Often used for valuing financial institutions (like banks) or companies with significant tangible assets. A P/B ratio below 1 might suggest undervaluation, while a high ratio might indicate overvaluation or significant intangible assets/growth expectations.
• Relative P/E Ratio: A relative P/E > 1 suggests the company is trading at a premium compared to the benchmark, while a relative P/E < 1 suggests it's trading at a discount. This ratio helps contextualize a company's P/E.

Analyzing these ratios in combination with other financial data provides a more comprehensive view of a company's valuation.