Math Problem Statement
After successfully completing your corporate finance class, you feel the next challenge ahead is to serve on the board of directors of Schenkel Enterprises. Unfortunately, you will be the only individual voting for you.
If the company has 550,000 shares outstanding and the stock currently sells for $33, how much will it cost you to buy a seat if the company uses straight voting?
Note: Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.
Assume that the company uses cumulative voting and there are three seats in the current election; how much will it cost you to buy a seat now?
Note: Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.
Solution
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Math Problem Analysis
Mathematical Concepts
Voting Power Calculation
Shareholder Voting
Cumulative Voting vs. Straight Voting
Proportional Ownership
Formulas
Shares needed (Straight Voting) = Total Shares / 2 + 1
Cost (Straight Voting) = Shares needed × Share Price
Shares needed (Cumulative Voting) = Total Votes / (Number of Seats + 1) + 1
Cost (Cumulative Voting) = Shares needed × Share Price
Theorems
Majority Rule in Straight Voting
Proportional Voting in Cumulative Voting
Suitable Grade Level
University Level (Corporate Finance, Investment, Shareholder Voting)
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