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Mike owns \(2,400\) shares of JDS Uniphase Corp. The company instituted a 1 -for-8 reverse stock split on October \(17 .\) The pre-split market price per share was \(\$ 2.13 .\) a. How many shares did Mike hold after the split? b. What was the post-split price per share? c. Show that the split was a monetary non-event for Mike.

Short Answer

Expert verified
a. Mike holds 300 shares after the split. b. The post-split price per share is \$17.04. c. The split is a monetary non-event for Mike, as the total value of his holdings is \$5,112 both before and after the split.

Step by step solution

01

Calculate Shares After Split

In a 1-for-8 reverse stock split, every 8 shares become 1 share. Therefore, to find out how many shares Mike has after this split, divide his original number of shares by 8, which is \( \frac{2,400}{8} = 300 \) shares.
02

Determine Post-Split Price Per Share

The price per share after the split is multiplied by the split factor, which in this case is 8. So, take the pre-split price of \$2.13 and multiply by 8. Therefore, the post-split price per share is \( 2.13 \times 8 = \$17.04 \).
03

Validate Monetary Non-Event

To prove that the stock split was a monetary non-event for Mike, calculate the value of Mike's holdings before and after the split. Before the split, Mike had 2,400 shares at \$2.13 each, giving a total value of \( 2400 \times 2.13 = \$5,112 \). After the split, Mike has 300 shares at \$17.04 each, giving a total value of \( 300 \times 17.04 = \$5,112 \). Thus, Mike's total investment remains the same, and the reverse stock split has no effect on Mike's holdings.

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Key Concepts

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

Understanding Pre-Split Market Price
The pre-split market price refers to the value of each share before a stock split occurs. In the case of Mike's shares in JDS Uniphase Corp, the pre-split market price was \( \$2.13 \) per share. Essentially, this price represents what each share was worth in the market just before the stock underwent a reverse split.

A reverse stock split combines existing shares, reducing the number of shares outstanding, while proportionally increasing the price per share to maintain the total market value. Before the split happens, all calculations and assessments are made using the pre-split market price. Understanding this concept is crucial because it helps investors evaluate their holdings based on the market's valuation prior to any company restructuring like a stock split.
Determining the Post-Split Price Per Share
After a reverse stock split occurs, the price per share changes because the total number of shares owned decreases. To maintain the overall value of the shares, the price per share increases proportionally. This is why in Mike's case, after the 1-for-8 reverse stock split, the post-split price per share increased.

To determine the post-split price, multiply the pre-split price by the split factor. For Mike, it meant taking the pre-split price of \( \\(2.13\) and multiplying it by 8 (because he had 1 share for every 8 original shares). Thus, the post-split price per share is \( 2.13 \times 8 = \\)17.04 \).

Despite the decrease in the number of shares, the increase in the price per share ensures that the total value of the shares remains unchanged, assuming constant market conditions.
Why Reverse Stock Splits Are Monetary Non-Events
A reverse stock split, though it affects the number and price of shares, doesn't change the overall monetary value of someone’s investment. This is commonly termed a "monetary non-event."

For Mike, before the 1-for-8 reverse stock split, he had \( 2,400 \) shares valued at \( \\(2.13 \) each, making his total holdings worth \( 2,400 \times 2.13 = \\)5,112 \). After the split, he owned \( 300 \) shares priced at \( \\(17.04 \) each, which still totalled \( 300 \times 17.04 = \\)5,112 \).

The reverse stock split merely redistributes the components of the investment without altering its core value.
  • The investor retains ownership of the same portion of the company.
  • The overall dollar amount remains unchanged.
  • Only the number of shares and their individual price per share are altered.
The key takeaway is that while stock configuration changes, investors neither gain nor lose money through this process, assuming all other market conditions remain constant.

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Jon noticed that most traditional splits are in the form \(x\) -for-1. He says that in those cases, all you need do is multiply the number of shares held by \(x\) and divide the price ber share by \(x\) to get the post-split numbers. Answer Exercises \(8-9\) based on Jon's method. Jon also noticed that every traditional split ratio can be written in the form \(x\) -for-1. Examine how the 3 -for- 2 traditional split can be expressed as 1.5 -for- \(1 .\) $$\frac{3}{2}=\frac{x}{1} \rightarrow 3=2 x \rightarrow x=1.5$$ Express each of the following traditional split ratios as \(x\) -for-l. a. 5-for-4 b. 6-for-5 c. 5-for-2 d. 8-for-5

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