High School

A firm has 75,000 shares of common stock outstanding at a price of $42 per share, 10,000 shares of preferred stock at $50 per share, and 3,000 bonds with a price quote of 101.2. How is the weight of preferred stock computed for the firm's WACC?

Answer :

The weight of preferred stock , based on the mentioned values in the company's WACC is found to be 7.48%.

To calculate the weighted average cost of capital (WACC), we need to determine the proportion of each type of financing (common stock, preferred stock, and debt) in the company's overall capital structure. The weight of each component is determined by dividing the market value of that component by the total market value of the company's capital structure.

To calculate the weight of the preferred stock, we need to determine the market value of the preferred stock.

Market value of preferred stock = Number of preferred shares x Market price per share = 10,000 x $50 = $500,000

Next, we need to determine the total market value of the company's capital structure:

Total market value = Market value of common stock + Market value of preferred stock + Market value of debt

Total market value = (75,000 shares x $42 per share) + $500,000 + (3,000 bonds x 101.2% x $1,000 par value per bond)

Total market value = $3,150,000 + $500,000 + $3,036,000

Total market value = $6,686,000

Now we can calculate the weight of the preferred stock:

Weight of preferred stock = Market value of preferred stock / Total market value

Weight of preferred stock = $500,000 / $6,686,000

Weight of preferred stock = 0.0748 or 7.48%

Therefore, the weight of preferred stock in the company's WACC calculation is 7.48%.

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