Alex needs to raise $45 million to embark on a new project. The company targeted capital structure of 45% common stock, 5% preferred stock, and 50% debt. The administrative and underwriter fees are 4%,5%, and 6%, respectively. What is the gross amount he actually needs to raise for the new project after taking into consideration the cost it has incurred?
The amount of common stock = $ 45 million × 45% = $ 20.25 Million
The amount of preferred stock = $ 45 million × 5% = $ 2.25 million
The amount of debt = $ 45 million × 50% = $ 22.5 million
Let's figure out the underwriter and administrative fees on different components of capital:
Administrative and Underwriter fees on common stock = $ 20.25 × 4% = $ 0.81 million
Administrative and Underwriter fees on preferred stock = $ 2.25 million × 5% = 0.1125 million
Administrative and Underwriter fees on debt = $ 22.5 million × 6% = $ 1.35 million
Total Administrative and Underwriter fees = $ 0.81 million + $ 0.1125 million + $ 1.35 million
= $ 2.2725 million
Gross amount needed for the project = Cost of project + Administrative and Underwriter fees
= $ 45 million + $ 2.2725 million
= $ 47.2725 million
That is the gross amount actually needs to raise for the new project after taking into consideration the cost is $ 47.2725 million ( $ 47,272,500).
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