There are four seats on the board of directors of MMT, Inc., up for election. The firm has 175,000 shares of stock outstanding and uses cumulative voting. Each share is granted one vote per open seat. You currently own 10,000 shares that have a market value of $23 each. How much must you spend, if anything, to acquire sufficient shares to guarantee your election to the board

We must spend $575,023 to acquire sufficient shares to guarantee your election to the board

Explanation:

To calculate the number of shares, the below formula will be used

Number of shares = [(S * X) / (D + 1)] + 1

S = Total number of shares, X = Number of seats you want to leave, D = Total number of seats

Number of shares = (175,000 * 1) / (4 + 1) + 1

Number of shares = (175,000 / 5) + 1

Number of shares = 35,000 + 1

Number of shares = 35,001

We control 35,001 if we wants to guarantee election to the board.

The additional no of shares that we need to buy is as calculated below as we already owns 10,000 shares

Cost = (Number of shares required - Number of shares already owned) * Price per share

Cost = (35,001 shares - 10,000 shares) * $23

Cost = 25,001 shares * $23

Cost = $575,023

Thus, it will cost us $575,023 to guarantee that we will be elected to the board.

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