Problem 12 - Accounting

Question

Paranormal Corporation wholesales ovens and ranges to restaurants throughout the Midwest. Paranormal Corporation, which had 25,000 shares of common stock outstanding, declared a 5 -for-1 stock split ( 4 additional shares for each share issued). a. What will be the number of shares outstanding after the split? b. If the common stock had a market price of \(\$ 165\) per share before the stock split, what would be an approximate market price per share after the split?

Step-by-Step Solution

Answer

a. 125,000 shares. b. Approximate market price per share: \(\$33\).

Step 1: Understand the Stock Split Ratio

The company is conducting a 5-for-1 stock split. This means for every 1 share someone currently owns, they will receive 4 additional shares, resulting in a total of 5 shares for each initial share.

Step 2: Calculate New Total Shares Outstanding

To find the new number of shares outstanding after the split, multiply the original number of shares by the split ratio. \(25,000 \text{ shares} \times 5 = 125,000 \text{ shares}\). Therefore, the new number of shares outstanding is 125,000.

Step 3: Assess the Market Price Impact

In a stock split, the market price per share is typically adjusted inversely to the split ratio to reflect the same overall market value. The new price will be approximately the original price divided by the split ratio: \(\frac{165}{5} = 33\).

Step 4: Confirming Understandings

The stock split does not change the total market value of the shares held by existing shareholders, only the number of shares and the price per share. After the split, each share is worth \(\$33\).

Key Concepts

Understanding Shares Outstanding in a Stock Split

A stock split increases the number of shares that a company has outstanding. This is done by distributing additional shares to existing shareholders. For every share that an investor holds, they receive a certain number of additional shares.
In the case of Paranormal Corporation, there was a 5-for-1 stock split. This meant that for each existing share, shareholders received 4 additional shares, leading to 5 shares for each original share.
Therefore, after the stock split, the number of shares outstanding increased from 25,000 to 125,000.

• Original shares: 25,000
• Split ratio: 5-for-1
• New shares outstanding: 25,000 × 5 = 125,000

Understanding shares outstanding is essential for investors as it affects the ownership percentage and voting power within a company.

Market Price Impact of a Stock Split

When a company announces a stock split, it doesn't affect the total market value of the company. However, it does impact the market price of individual shares. The price after a stock split is generally adjusted inversely to the split ratio.
For Paranormal Corporation, the market price of each share before the split was \(\\(165\). After a 5-for-1 stock split, the new market price per share would be approximately \(\\)33\) (which is \(\frac{165}{5}\)).
It's important to note that while the number of shares increases and the price per share decreases, the total value holding for an investor remains the same. This neutrality ensures that the market value of each investor's holdings is unchanged.

• Original price: \(\\(165\)
• Split ratio: 5-for-1
• New price per share: \(\\)165 \div 5 = \$33\)

Educational Problem Solving for Calculating Impact

To solve stock split problems, it's essential to use a methodical step-by-step approach to ensure accurate calculations. Understanding the stock split ratio and its effects on both the shares and market prices is crucial.
Here's a simple approach to solving stock split questions:

• Identify the split ratio and comprehend what it signifies.
• Calculate the new total shares by multiplying the original amount by the split ratio.
• Determine the new market price by dividing the original price by the split ratio.
• Confirm the calculations by checking that the total value of shares before and after remains the same.

This step-by-step methodology is important for students tackling similar exercise problems, as it helps solidify understanding and application of stock market concepts.

Exploring Accounting Concepts in Stock Splits

Within the context of accounting, stock splits carry certain implications. They are considered a corporate action that does not directly involve accounting statements (like income statements) but does impact equity and share capital structure.
Stock splits do not change the book value or the equity of the company. They only increase the number of shares while proportionally decreasing the price per share, keeping the overall equity value unchanged.

• No impact on total shareholder equity.
• Balance sheet adjustments to reflect increased shares and reduced per-share value.
• More shares can sometimes enhance liquidity and market participation.

For finance students, grasping these foundational accounting principles aids in understanding the broader implications of stock splits beyond just the numerical changes in shares and prices.