In the first scenario, the value of equity after the recap for Nichols Corporation is $175 million. In the second scenario, the stock price after the recap for Lee Manufacturing is $20 per share. In the third scenario, Dye Trucking has 10 million shares after the recap.
In the first scenario, Nichols Corporation's value of operations after a recapitalization is $250 million. They raised $75 million in new debt and used it to buy back stock. The weight of debt (wd) after the recapitalization is 30%. To find the value of equity (S) after the recap, we can use the formula:
S = Value of operations - Value of debt = $250 million - $75 million = $175 million
So, the value of equity after the recap for Nichols Corporation is $175 million.
In the second scenario with Lee Manufacturing, their value of operations after recapitalization is $900 million. They raised $300 million in new debt and used it to buy back stock. The weight of debt after the recap is 1/3. To find the stock price (P) after the recap, we can use the formula:
P = Value of equity / Number of shares = ($900 million - $300 million) / 30 million shares = $20 per share
So, the stock price after the recap for Lee Manufacturing is $20 per share.
In the third scenario with Dye Trucking, they raised $85 million in new debt and used it to buy back stock. The stock price after the recap is $8.50. To find the number of shares after the recap, we can use the formula:
Number of shares = Value of equity / Stock price = $85 million / $8.50 = 10 million shares
So, Dye Trucking has 10 million shares after the recap.