Math Problem Statement
Solution
To solve this, we calculate the preferred dividend per share and the common dividend per share based on the given data. Here’s the breakdown:
Step 1: Preferred Dividend per Share
The formula for the preferred dividend per share is:
From the table:
- Total Preferred Dividend = $5,000,000
- Number of Preferred Shares = 1,000,000
Step 2: Common Dividend per Share
Since the preferred stock is non-cumulative and no arrears are declared, the common shareholders do not receive a dividend if the total dividend of $5,000,000 is fully allocated to preferred shareholders. This means the Common Dividend/Share is:
Final Answers:
- Preferred Dividend per Share: $5
- Common Dividend per Share: NONE
Would you like a detailed explanation of any of the steps? Here are five related questions to consider:
- What is the significance of cumulative vs. non-cumulative preferred stock in dividends?
- How would the result change if declared arrears existed for the preferred shares?
- What happens if the company declares a larger dividend than $5,000,000?
- How does the dividend yield affect investor decisions for preferred stock?
- How is the dividend per share affected when the number of shares increases?
Tip: Always check whether preferred stock is cumulative or non-cumulative when calculating dividends; this determines whether past unpaid dividends impact current payments.
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Math Problem Analysis
Mathematical Concepts
Dividend Distribution
Preferred vs. Common Stock
Formulas
Preferred Dividend/Share = Total Preferred Dividend / Number of Preferred Shares
Common Dividend/Share = Total Remaining Dividend / Number of Common Shares
Theorems
Dividend Distribution Rule for Preferred and Common Stock
Suitable Grade Level
Undergraduate (Finance/Accounting)
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