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An accountant at a small company is trying to calculate how dividends (a share of the...

An accountant at a small company is trying to calculate how dividends (a share of the company's profits) should be distributed to shareholders. The company made enough profit to pay all the shareholders 6% of the value of their stocks- if the money were divided equally. But actually some of the shareholders own $4 million in preferred stocks, which are guaranteed to pay 7.5% of their value in dividends. This means there is only enough money left over to pay the other shareholders 5% of the common stocks' value. What is the value of the common stocks?

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Answer #1

Preferred stock holders will get an additional $0.06 million which will be borne by the common stock holders.Therefore $0.06 divided by the change in 1% change is equal to $ 6 million.

To elaborate this,

At 6% Dividend on all stock
Preferred Common Total
Stock Value 4 6 10
Rate of Dividend 6% 6% 6%
Dividend 0.24 0.36 0.60
At 5% Dividend to common stock
Preferred Common Total
Stock Value 4 6 10
Rate of Dividend 7.5% 5% 6%
Dividend 0.30 0.30 0.60
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